Vignette: Grammar of graphics of genealogy (ggenealogy)

Lindsay Rutter, Susan Vanderplas, Di Cook

ggenealogy version 1.0.1 , 2020-03-04

Contents

Citation 2

Summary 2

Introduction 2Installation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Preprocessing pipeline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

General (non-plotting) methods of genealogical data 4Functions for individual vertices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5Functions for pairs of vertices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12Functions for the full genealogical structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

Plotting methods of genealogical data 14Plotting the ancestors and descendants of a vertex . . . . . . . . . . . . . . . . . . . . . . . . 14Plotting the shortest path between two vertices . . . . . . . . . . . . . . . . . . . . . . . . . . 16Plotting shortest paths superimposed on full genealogical structure . . . . . . . . . . . . . . . 19Plotting pairwise distance matrices between a set of vertices . . . . . . . . . . . . . . . . . . . 24

Interactive plotting methods of genealogical data 27

Branch parsing and calculations 34Quantitative variable parsing and calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . 34Qualitative variable parsing and calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . 35

Conclusions 37

1This LATEX vignette document is created using the R function Sweave on the R package ggenealogy. It is automati-cally downloaded with the package and can be accessed with the R command vignette("ggenealogy").

1

Citation

To cite the ggenealogy package, please use:

Rutter L, VanderPlas S, Cook D, Graham MA (2019). ggenealogy: An R Package for VisualizingGenealogical Data. Journal of Statistical Software, 89(13), 1-31. doi: 10.18637/jss.v089.i13

Summary

Description

The ggenealogy package provides tools to examine genealogical data, generating basic statistics ontheir graphical structures using parent and child connections, and displaying the results. The geneal-ogy can be drawn in relation to additional variables, such as development year, and the shortest pathdistances between genetic lines can be determined and displayed. Production of pairwise distancematrices and phylogenetic diagrams constrained by generation count are also available in the visual-ization toolkit. This vignette is intended to walk readers through the different methods available inthe ggenealogy package.

Caution

igraph must be used with version >= 0.7.1

Introduction

Installation

R is an open source software project for statistical computing, and can be freely downloaded fromthe Comprehensive R Archive Network (CRAN) website. The link to contributed documentation onthe CRAN website offers practical resources for an introduction to R , in several languages. Afterdownloading and installing R , the installation of additional packages is straightforward. To install theggenealogy package from R , use the command:

> install.packages("ggenealogy")

The ggenealogy package should now be successfully installed. Next, to render it accessible to thecurrent R session, simply type:

> library(ggenealogy)

To access help pages with example syntax and documentation for the available functions of the gge-

nealogy package, please type:

2

> help(package="ggenealogy")

To access more detailed information about a specific function in the ggenealogy package, use thefollowing help command on that function, such as:

> help(getChild)

The above command will return the help file for the getChild function. The help file often includesfreestanding example syntax to illustrate how function commands are executed. In the case of thegetChild function, the example syntax is the following three lines, which can be pasted directly intoan R session.

> data(sbGeneal)

> getChild("Tokyo", sbGeneal)

> getChild("Essex", sbGeneal)

Preprocessing pipeline

In the ggenealogy package, there is an example dataset containing genealogical information on soybeanvarieties called sbGeneal.rda. It may be helpful to load that example file so that you can follow alongwith the commands and options introduced in this vignette. To ensure that you have uploaded thecorrect, raw sbGeneal.rda file, you can observe the first six lines of the file, and determine its dimensionand structure:

> data(sbGeneal)

> head(sbGeneal)

child devYear yield yearImputed parent

1 5601T 1981 NA TRUE Hutcheson

2 Adams 1948 2734 FALSE Dunfield

3 A.K. 1910 NA TRUE <NA>

4 A.K. (Harrow) 1912 2665 FALSE A.K.

5 Altona 1968 NA FALSE Flambeau

6 Amcor 1979 2981 FALSE Amsoy 71

> dim(sbGeneal)

[1] 390 5

> str(sbGeneal)

'data.frame': 390 obs. of 5 variables:

$ child : chr "5601T" "Adams" "A.K." "A.K. (Harrow)" ...

3

$ devYear : num 1981 1948 1910 1912 1968 ...

$ yield : int NA 2734 NA 2665 NA 2981 2887 2817 NA NA ...

$ yearImputed: logi TRUE FALSE TRUE FALSE FALSE FALSE ...

$ parent : chr "Hutcheson" "Dunfield" NA "A.K." ...

We see that the sbGeneal data file is a data frame structure with 390 rows (observations) and 5 columns(variables). Each row contains a child node character label and parent node character label. Eachrow also contains a numeric value corresponding to the date (year) the child node was introduced, aninteger value of the protein yield of the child node, and a logical value date.imputed, which indicateswhether or not the year of introduction of the child node was imputed.

Now that the sbGeneal file has been loaded as a data frame, it must next be converted into a graphobject using the dfToIG() function. The dfToIG() function requires a data frame as input, andthat data frame should be structured such that each row represents an edge with a child and parentrelationship. For more information, try using the help command on the function:

> help(dfToIG)

We see that the function takes optional parameter arguments, such as vertexinfo (a list of columnsof the data frame which provide information for the starting “child” vertex, or a separate data framecontaining information for each vertex with the first column as the vertex name), edgeweights (acolumn that contains edge values, with a default value of unity), and isDirected (a boolean valuethat describes whether the graph is directed (true) or undirected (false); the default is false).

In this example, we want to produce an undirected graph object that contains all edge weight valuesof one, because our goal is to set an edge value of unity for every pair of vertices (individuals) thatare related as parent and child. The dfToIG() function uses the software igraph to convert the dataframe into a graph object. For clarity, we will assign the outputted graph object the name ig (forigraph object), and then examine its class type:

> ig <- dfToIG(sbGeneal)

> class(ig)

[1] "igraph"

Above, we confirmed that the ig object is of class type igraph. The ig object is required as input inmany ggenealogy functions, which will be demonstrated below.

General (non-plotting) methods of genealogical data

The ggenealogy package offers several functions that result in useful information beside plots. Belowis a brief introduction to some of the available non-plotting functions.

4

Functions for individual vertices

The ggenealogy package offers several functions that you can use to obtain information for individualvertices. First, the function isParent() can return a logical variable to indicate whether or not thesecond variety is a parent of the first variety.

> isParent("Young","Essex",sbGeneal)

[1] TRUE

> isParent("Essex","Young",sbGeneal)

[1] FALSE

We see that “Essex” is a parent of “Young”, and not vice-versa. Similarly, the function isChild() canreturn a logical variable to indicate whether or not the first variety is a child of the second variety.

> isChild("Young","Essex",sbGeneal)

[1] TRUE

> isChild("Essex","Young",sbGeneal)

[1] FALSE

We see that, as expected, “Young” is a child of “Essex”, and not vice-versa. It is also possible to derivethe year of a given variety using the getVariable() function:

> getVariable("Young", sbGeneal, "devYear")

[1] 1968

> getVariable("Essex", sbGeneal, "devYear")

[1] 1962

Fortunately, the returned year values are consistent, as the “Young” variety (1968) is a child to the“Essex”variety (1962) by an age difference of 6 years. In some cases, you may wish to obtain a completelist of all the parents of a given variety. This can be achieved using the getParent() function:

> getParent("Young",sbGeneal)

5

[1] "Davis" "Essex"

> getParent("Tokyo",sbGeneal)

character(0)

> getVariable("Tokyo", sbGeneal,"devYear")

[1] 1907

We learn from this that “Essex” is not the only parent of “Young”; “Young” also has a parent “Davis”.We also see that “Tokyo” does not have any documented parents in this dataset, and has an older yearof introduction (1907) than other varieties we have examined thus far. Likewise, in other cases, youmay wish to obtain a complete list of all the children of a given variety. This can be achieved usingthe getChild() function:

> getChild("Tokyo",sbGeneal)

[1] "Ogden" "Volstate"

> getChild("Ogden",sbGeneal)

[1] "C1069" "C1079" "D51-2427" "D55-4090"

[5] "D55-4159" "D55-4168" "Kent" "N44-92"

[9] "N45-745" "N48-1101" "Ogden x CNS" "Ralsoy x Ogden"

We find that even though the “Tokyo” variety is a grandparent of the dataset, it only has two children,“Ogden” and “Volstate”. However, one of its children, “Ogden”, produced 12 children.

If we want to obtain a list that contains more than just one generation past or previous to a givenvariety, then we can use the getAncestors() and getDescendants() functions, where we specify thenumber of generations we wish to view. This will return a data frame to us with the labels of eachancestor or descendant, along with the number of generations each one is from the given variety.

If we only look at one generation of ancestors of the“Young”variety, we should see the same informationwe did earlier when we used the getParent() function of the Young variety:

> getAncestors("Young",sbGeneal,1)

label gen

2 Davis 1

1 Essex 1

6

Indeed, we consistently see that the“Young”variety has only 2 ancestors within one generation, “Davis”and “Essex”. However, if we view the first five generations of ancestors of the “Young” variety, we canview four more generations of ancestors past simply the parents:

> getAncestors("Young",sbGeneal,5)

label gen

27 Davis 1

26 Essex 1

25 Ralsoy x Ogden 2

24 Roanoke x (Ogden x CNS) 2

23 Lee 2

22 S55-7075 2

21 Ogden 3

20 Ralsoy 3

19 Ogden x CNS 3

17 CNS 3

18 Roanoke 3

16 S 100 3

15 N48-1248 3

14 Perry 3

10 Ogden 4

13 PI 54610 4

12 Tokyo 4

11 CNS 4

9 Clemson 4

6 Roanoke 4

8 Illini 4

7 N45-745 x (Ogden x CNS) 4

4 PI 54610 5

3 Tokyo 5

1 Ogden x CNS 5

5 Clemson 5

2 A.K. 5

> nrow(getAncestors("Young",sbGeneal,5))

[1] 27

In the second line of code above, we determined the dimensions of the returned data frame, and seethat there are 27 ancestors within the first five ancestral generations of the “Young” variety.

Similarly, if we only look at the first generation of descendants of the “Ogden” variety, we should seethe same information as we did earlier when we used the getChild() function on the “Ogden” variety:

> getDescendants("Ogden",sbGeneal,1)

7

label gen

12 C1069 1

11 C1079 1

10 D51-2427 1

9 D55-4090 1

8 D55-4159 1

7 D55-4168 1

6 Kent 1

5 N44-92 1

4 N45-745 1

3 N48-1101 1

2 Ogden x CNS 1

1 Ralsoy x Ogden 1

Indeed, we see again that “Ogden” has 12 children. Additionally, if we want to view not only thechildren, but also the grandchildren, of the “Ogden” variety, then we can use this function, only nowspecifying two generations of descendants:

> getDescendants("Ogden",sbGeneal,2)

label gen

28 C1069 1

27 C1079 1

26 D51-2427 1

25 D55-4090 1

24 D55-4159 1

23 D55-4168 1

22 Kent 1

21 N44-92 1

20 N45-745 1

19 N48-1101 1

18 Ogden x CNS 1

17 Ralsoy x Ogden 1

16 Columbus 2

15 Cutler 2

14 C1266R 2

13 Semmes 2

11 D60-7965 2

12 D60-7965 2

10 D59-9289 2

9 Beeson 2

8 Calland 2

7 Hood 2

6 N48-1867 2

5 D52-810 2

4 N45-745 x (Ogden x CNS) 2

3 R54-168 2

2 Roanoke x (Ogden x CNS) 2

1 Davis 2

8

We see that variety “Ogden” has 16 grandchildren from its 12 children.

For users who wish to apply obtain the ancestors or descendants across generations for not just one,but for a list, of individuals, please note that getAncestors() and getDescendants() can be run witha list of individuals as input. For example, here we can obtain ancestors for the past five generationsfor the last four members in the sbGeneal object (“Williams 82”, “York”, “Young”, and “Zane”):

> nr = nrow(sbGeneal)

> listInd = sbGeneal[(nr-3):nr,]$child

> listAnc = sapply(listInd, function(x) getAncestors(x, sbGeneal, 5))

> listAnc

Williams 82 York Young Zane

label factor,21 factor,11 factor,27 factor,55

gen Numeric,21 Numeric,11 Numeric,27 Numeric,55

Note that we verify our earlier finding that “Young” has 27 ancestors across five generations. Toview the entire structure of ancestors across five generations for these four members, we can include asimplify = F option:

> listAnc = sapply(listInd, function(x) getAncestors(x, sbGeneal, 5), simplify=F)

> listAnc

$`Williams 82`label gen

21 Kingwa 1

20 Williams 1

19 L57-0034 2

18 Wayne 2

17 Adams 3

15 Clark 3

16 Clark 3

14 L49-4091 3

13 Dunfield 4

12 Illini 4

9 Lincoln 4

11 Lincoln 4

8 Richland 4

10 Richland 4

7 Lincoln x CNS 4

6 Lincoln x Richland 4

5 A.K. 5

2 Lincoln 5

3 Lincoln 5

1 Richland 5

4 CNS 5

$York

9

label gen

11 Dorman 1

10 Hood 1

9 Arksoy 2

8 Dunfield 2

7 N45-745 2

6 Roanoke 2

5 CNS 3

4 Ogden 3

3 Clemson 4

2 PI 54610 4

1 Tokyo 4

$Young

label gen

27 Davis 1

26 Essex 1

25 Ralsoy x Ogden 2

24 Roanoke x (Ogden x CNS) 2

23 Lee 2

22 S55-7075 2

21 Ogden 3

20 Ralsoy 3

19 Ogden x CNS 3

17 CNS 3

18 Roanoke 3

16 S 100 3

15 N48-1248 3

14 Perry 3

10 Ogden 4

13 PI 54610 4

12 Tokyo 4

11 CNS 4

9 Clemson 4

6 Roanoke 4

8 Illini 4

7 N45-745 x (Ogden x CNS) 4

4 PI 54610 5

3 Tokyo 5

1 Ogden x CNS 5

5 Clemson 5

2 A.K. 5

$Zane

label gen

55 Cumberland 1

54 Pella 1

53 Corsoy 2

52 Williams 2

51 Calland 2

50 L66L-137 2

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49 Capital 3

48 Harosoy 3

43 L57-0034 3

47 L57-0034 3

42 Wayne 3

46 Wayne 3

45 C1253 3

44 Kent 3

39 A.K. (Harrow) 4

41 A.K. (Harrow) 4

40 No. 171 4

32 Harosoy 4

38 Mandarin (Ottowa) 4

29 Adams 4

37 Adams 4

27 Clark 4

28 Clark 4

35 Clark 4

36 Clark 4

31 Lincoln 4

26 L49-4091 4

34 L49-4091 4

33 Blackhawk 4

30 Ogden 4

12 A.K. (Harrow) 5

24 A.K. 5

25 A.K. 5

11 Mandarin (Ottowa) 5

23 Mandarin 5

8 Dunfield 5

22 Dunfield 5

7 Illini 5

21 Illini 5

4 Lincoln 5

6 Lincoln 5

18 Lincoln 5

20 Lincoln 5

3 Richland 5

5 Richland 5

13 Richland 5

17 Richland 5

19 Richland 5

2 Lincoln x CNS 5

16 Lincoln x CNS 5

1 Lincoln x Richland 5

15 Lincoln x Richland 5

14 Mukden 5

10 PI 54610 5

9 Tokyo 5

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Functions for pairs of vertices

Say you have a pair of vertices, and you wish to determine the degree of the shortest path betweenthem, where edges represent parent-child relationships. You can accomplish that with the getDegree()function.

> getDegree("Tokyo", "Ogden", ig, sbGeneal)

[1] 1

> getDegree("Tokyo", "Holladay", ig, sbGeneal)

[1] 7

As expected, the shortest path between the “Tokyo” and “Ogden” varieties has a value of 1, as wealready determined that they have a direct parent-child relationship. However, the shortest pathbetween “Tokyo” and one of its descendants, “Holladay”, has a much higher degree of 7.

Note that degree calculations in this case are not limited to one linear string of parent-child relation-ships; cousins and siblings and products thereof will also have computable degrees via nonlinear stringsof parent-child relationships.

Functions for the full genealogical structure

There are many parameters about the full genealogical structure that you may wish to know that can-not easily be obtained through images and tables. The function getBasicStatistics() will returngraph theoretical measurements of the full genealogy. For instance, is the full genealogy connected?If not, how many separated components does it contain? In addition to these parameters, the get-

BasicStatistics() function will also return the number of nodes, the number of edges, the averagepath length, the graph diameter, among others:

> getBasicStatistics(ig)

$isConnected

[1] FALSE

$numComponents

[1] 11

$avePathLength

[1] 5.333746

$graphDiameter

[1] 13

12

$numNodes

[1] 230

$numEdges

[1] 340

$logN

[1] 5.438079

In this case, we learn that our full genealogical structure is not all connected by parent-child edges.Instead, it is composed of 11 separate components. The average path length of the full genealogy is5.333746, that the graph diameter is 13, and that the logN value is 5.438079. We also see that thenumber of nodes in the full genealogy is 230, and the number of edges in the full genealogy is 340.

But can we view a list of these nodes and edges? To do so, we can call the getNodes() and getEdges()

commands to obtain lists of all the unique nodes and edges in the full genealogical structure. Here, weobtain a list of the 340 edges (with each row containing the names of the two connected vertices, andan edge weight, if existent). We will simply view the first six rows of the object, and determine thenumber of edges by counting the number of rows (340):

> eList = getEdges(ig, sbGeneal)

> head(eList)

child parent

[1,] "5601T" "Hutcheson"

[2,] "Adams" "Dunfield"

[3,] "A.K. (Harrow)" "A.K."

[4,] "Altona" "Flambeau"

[5,] "Amcor" "Amsoy 71"

[6,] "Amsoy" "Adams"

> nrow(eList)

[1] 340

We then obtain a list of the 230 nodes. Again, we only view the first six rows of the object, anddetermine the number of nodes by counting the number of indices (230).

> nList = getNodes(sbGeneal)

> head(nList)

[1] "5601T" "Adams" "A.K." "A.K. (Harrow)"

[5] "Altona" "Amcor"

> length(nList)

[1] 230

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Plotting methods of genealogical data

Until this point, the vignette has introduced functions that return lists, data frames, and statisticsabout the genealogical dataset. However, the ggenealogy package also contains visualization toolsfor genealogical datasets. Access to various types of visual plots and diagrams of the lineage canallow genealogical researchers to more efficiently and accurately explore an otherwise complicated datastructure. Below, we introduce functions in ggenealogy that produce visual outputs of the dataset.

Plotting the ancestors and descendants of a vertex

One visualization tool, plotAncDes(), allows the user to view the ancestors and descendants of a givenvariety. The inputted variety is highlighted in the center of the plot, ancestors are displayed to theleft of the center, and descendants are displayed to the right of the center. The further left or rightfrom the center, the larger the number of generations that particular ancestor/descendant is from theinputted and centered variety.

As such, this plotting command does not provide visual information about specific years associatedwith each related variety (as is done in some of the visualization tools introduced later), but it doesgroup all varieties from each generation group onto the same position of the horizontal axis. Here, wespecify that we want to plot 5 ancestor generations and 4 descendant generations of the variety “Lee”:

> plotAncDes("Lee", sbGeneal,5,4)

We immediately see in Figure 1 that this visual representation of the ancestors and descendants ofa given variety can often provide enhanced readability compared to the list output provided in theprevious functions, getAncestors() and getDescendants(). We notice that even though we specifiedfor 5 generations of ancestors, the extent of documented ancestors of “Lee” includes only 3 generations.

We also see now that some node labels are repeated. For instance, the “5601T” variety appears twice,once as a great-grandchild (third generation descendant) of “Lee”, and once as a great-great-grandchild(fourth generation descendant) of “Lee”. This is because there are two separate parent-child pathwaysbetween “Lee” and “5601T”, one pathway with only two nodes (“Essex” and “Hutchson”) between them,and one pathway with three nodes (“Essex”, “T80-69”, and “TN89-39”) between them.

Why does this happen? In this visual tool, we are constraining the horizontal axis to generation count.Without allowing nodes to repeat, this data information cannot be clearly and succinctly presented.Most graph visualization software that genealogists might use to view their datasets do not allow forrepeated nodes, as per the definition of a graph. Hence, the plotAncDes() function is one of the moreunique visual tools of the ggenealogy package.

It should be noted that the plotAncDes() function, by default, highlights the centered variety label inpink. However, the user can alter this color, as we will show next. Furthermore, the user can specifyadditional grammar of graphics plotting tools (from the ggplot2 package) to tailor the output of theplotAncDes() function, which we also show below.

For example, we will now change the color of the center variety label vColor to be highlighted inblue. Also, we will add a horizontal axis label called “Generation index”, using the ggplot2 syntax.Note that this time we do not specify the generational count for ancestors and descendants, and so

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TN89−39

J74−39

Bedford

TN5−85

TN89−39

5601T

IA 3023

Pioneer 9381

Brim

N77−179

TN81−2

Bradley

Leflore

Hagood

Dillon

Holladay

D68−18

D68−127

Narow

TN81−2

Hagood

Dillon

Cook

Brim

TN89−39

5601T

Pioneer 9381

Sprite

N73−1102

N72−3213

Gnome

Elf

Lee 74

Gordon

D70−3115

Centennial

N77−179

Dyer

Mack

Lee 74

Young

TN5−85

T80−69

Pershing

Hutcheson

Essex x L69−4143

Ransom

S62−6−16−12

R66−1517

Pickett 71

N72−3213

Lee x Peking

Lee 68

Essex

D56−1185

Lee

A.K. Illini

Clemson

S 100

CNS

Figure 1: Ancestors and descendants of the “Lee” variety, constrained on the horizontal axis by gener-ational separation from “Lee”.

15

the default value of three generations is applied to both cases. Remember, to determine such defaultvalues, as well as all function parameters, simply run the help command on the function of interest.

> plotAncDes("Tokyo", sbGeneal, vColor = "blue") + ggplot2::labs(

+ x="Generation index",y="")

We verify immediately from Figure 2 that the “Tokyo” variety does not have any ancestors in thisdataset, an observation consistent with what we discovered earlier. We also see the “Tokyo” varietyonly has two children, but has many more grandchildren, and great-grand children.

Plotting the shortest path between two vertices

As this data set deals with soybean lineages, it may be useful for agronomists to track how two varietiesare related to each other via parent-child relationships. Then, any dramatic changes in protein yield,SNP varieties, and other measures of interest between the two varieties can be tracked across theirgenetic timeline, and pinpointed to certain paths within their historical lineage.

The ggenealogy software allows users to select two varieties of interest, and determine the shortestpathway of parent-child relationships between them, using the getPath() function. This will return alist path object that contains the variety names and their years in the path. The returned path objectcan then be plotted using the plotPath() function, which we now demonstrate.

The getPath() function determines the shortest path between the two inputted vertices, and takesinto account whether or not the graph is directed with the parameter isDirected, which defaults tofalse. The getPath() function will check both directions and return the path if it exists:

> getPath("Brim", "Bedford", sbIG, sbGeneal, "devYear", isDirected = FALSE)

$pathVertices

[1] "Brim" "Young" "Essex" "T80-69" "J74-40" "Forrest" "Bedford"

$variableVertices

[1] "1977" "1968" "1962" "1975" "1975" "1973" "1978"

We see that there is a path between “Brim” and “Bedford” varieties, with 5 varieties separating them.We are not considering direction, however, because the ig object is undirected. However, to demon-strate the importance of direction, we will recompute the path where the direction matters. We firstproduce a directed igraph object dirIG, and then try to determine the path between the same twovertices, “Brim” and “Bedford”.

> dirIG = dfToIG(sbGeneal, isDirected = TRUE)

> getPath("Brim", "Bedford", dirIG, sbGeneal, "devYear", isDirected = TRUE)

Now that we are considering the direction, we are only considering paths where each edge representsa parent-child relationship in the same direction as the one before it. We now would receive an errorwarning that we cannot compute a directed path on an undirected graph. We next try to reverse theinput order of the vertices, as shown below, but we will receive the same error message:

16

R66−873F59−1505D58−3358

D49−2491 x Jackson

Bragg

Davis

Roanoke x (Ogden x CNS)

R54−168

N45−745 x (Ogden x CNS)

D52−810N48−1867

Hood

Calland

BeesonD59−9289D60−7965D60−7965SemmesC1266RCutler

Columbus

Jackson

Ralsoy x Ogden

Ogden x CNS

N48−1101

N45−745

N44−92

Kent

D55−4168D55−4159D55−4090D51−2427

C1079C1069

Volstate

Ogden

Tokyo

Generation index

Figure 2: Ancestors and descendants of the “Tokyo” variety, constrained on the horizontal axis bygenerational separation from “Tokyo”.

17

> getPath("Bedford", "Brim", dirIG, sbGeneal, "devYear", isDirected=TRUE)

We can derive from the errors returned in the last two commands that the varieties “Brim” and“Bedford” are not connected by a linear sequence of parent-child relationships. Rather, the pathbetween them branches at some point, involving siblings and/or cousins.

Hence, unless you are working with a dataset that must be analyzed as a directed graph, it is best touse the getPath() function with the default third parameter indicating lack of direction, and to usean igraph object without direction, such as our original ig object. We do just that, and save the pathbetween these two varieties to a variable called path:

> pathBB = getPath("Bedford","Brim", ig, sbGeneal, "devYear", isDirected=FALSE)

Now that we have a non-empty pathBB object that consists of two lists (for variety names and years),we can plot the relationship between the two using the plotPath() function.

> plotPath(pathBB, sbGeneal, "devYear")

Notice that the horizontal label by default uses the general label of the input column name (in thiscase “devYear”). We can tailor this plot by appending basic ggplot syntax. For instance, if we wishto change the horizontal label to the more specific value of “Year”, then we can do as follows:

> plotPath(pathBB, sbGeneal, "devYear") + ggplot2::xlab("Year")

This produces a neat visual (see Figure 4) that informs us of all the varieties involved in the shortestpath between “Brim” and “Bedford”. In this plot, the years of all varieties involved in the path areindicated on the horizontal axis, while the vertical axis has no meaning other than to simply to displaythe labels evenly spaced vertically.

Although a call to the ggenealogy function getVariable() indicates that “Bedford” was developed in1978 and “Brim” in 1977, we quickly determine from the plot that “Brim” is not a parent, grandparent,nor any great-grandparent of“Bedford”. Instead, we see that these two varieties are not related througha unidirectional parent-child lineage, but have a cousin-like relationship. The oldest common ancestorbetween “Bedford” and “Brim” is the variety “Essex”, which was developed in 1962.

However, there are other cases of pairs of varieties that are connected by a linear, unidirectionalcombination of parent-child relationships, as we see below:

> pathNT = getPath("Narow", "Tokyo", ig, sbGeneal, "devYear", isDirected=FALSE)

> plotPath(pathNT, sbGeneal, "devYear")

From the output, shown in Figure 5, we see that the variety “Tokyo” is an ancestor of “Narow” via fourlinear parent-child relationships.

18

Plotting shortest paths superimposed on full genealogical structure

Now that we can create and plot path objects, we may wish to know how those paths are positionedin comparison to the genealogical lineage of the entire data structure. For instance, of the documentedsoybean cultivar lineage varieties, where does the shortest path between two varieties of interest exist?Are these two varieties comparatively older compared to the overall data structure? Are they newer?Or, do they span the entire structure, and represent two extreme ends of documented time points?

There is a function available in the ggenealogy package, plotPathOnAll(), that allows users to quicklyvisualize their path of interest superimposed over all varieties and edges present in the whole datastructure. Here we will produce a plot of the previously-determined shortest path between varieties“Tokyo” and “Narow” across the entire dataset (in this particular dataset, some edges are not plotted,as they contain NA values):

Bedford

Forrest

J74−40

T80−69

Essex

Young

Brim

1965 1970 1975devYear

Figure 3: The shortest path between varieties “Brim” and “Bedford” is not strictly composed of unidi-rectional parent-child relationships, but instead, includes cousin-like relationships.

19

> plotPathOnAll(pathNT, sbGeneal, ig, "devYear", bin = 3)

The resulting plot is shown in Figure 6.

While the first three explicit parameters to the function plotPathOnAll() have been introduced ear-lier, the fourth parameter (bin) requires some explanation. The motivation of the plotPathOnAll()

function is to write variety text labels on a plot, with the center of each variety label constricted onthe horizontal axis to its developmental year. As is the case for the plots before, the vertical axis hasno specific meaning. Unfortunately, for large datasets, this motivation can be a difficult task becausethe text labels of the varieties can overlap if they are assigned a similar y coordinate, have a similaryear (x coordinate), and have labels with large numbers of characters (width of x coordinate).

For each variety, the x coordinate (year) and width of the x coordinate (text label width) cannot bealtered, as they provide useful information. However, the vertical coordinate is arbitrary. Hence, in an

Bedford

Forrest

J74−40

T80−69

Essex

Young

Brim

1965 1970 1975Year

Figure 4: The shortest path between varieties “Brim” and “Bedford” is not strictly composed of uni-directional parent-child relationships, but instead, includes cousin-like relationships. We changed thehorizontal axis label from Figure 3 to now be “Year”.

20

attempt to mitigate text overlap, the plotPathOnAll() function does not randomly assign the verticalcoordinate. Instead, it allows users to specify the number of bins (bin), which partially controls thevertical positions.

If the user determines to produce a plot using three bins, as in the example code above, then thevarieties are all grouped into three bins based on their years of development. In other words, there willbe bin 1 (the “oldest bin”) which includes the one-third of all varieties with the oldest developmentalyears, bin 2 (the “middle bin”), and bin 3 (the “youngest bin”).

Then, in order to decrease text overlap, consecutively increasing vertical positions are alternativelyassigned to the three bins (For example: bin 1, then bin 2, then bin 3, etc.) repeatedly until allvarieties are accounted. This algorithm means that there are at least two vertical positions separatingany pair of varieties from the same bin.

In this plot, edges not on the path of interest are thin and gray, whereas edges on the path of interest

Narow

R66−873

Jackson

Volstate

Tokyo

1920 1940 1960 1980devYear

Figure 5: The shortest path between varieties “Narow” and “Tokyo” is strictly composed of a unidirec-tional sequence of parent-child relationships.

21

A.K.ClemsonManchuA.K. (Harrow)

Arksoy PI 54610DunfieldIlliniPalmettoPI 70502

PI 71597MandarinNo.171Mukden

Mandarin (Ottowa)LincolnRichlandM10Dunfield x Haberlandt

CNSPatokaD49−2510D55−4090

Ogden x CNSS 100WellsAdams

Lincoln x RichlandClarkN45−745BlackhawkHawkeye

N45−745 x (Ogden x CNS)OgdenPerryRoanoke

Clark x CNSD49−2491Lincoln x CNS

AndersonC1079Capital

D55−4159D55−4168DormanHarosoyN48−1248N48−1867N55−5931R54−168D58−3358F59−1505D59−9289

D60−7965C1069ChippewaDavis x Peking

LeeRansomClark x BlackhawkN48−1101D65−6765D51−2427

Ralsoy x OgdenRoanoke x (Ogden x CNS)CutlerD49−2491 x JacksonFordHillHoodL11L15L57−0034Merit

N72−3213S62−6−16−12BraggD60−9647C1253D59−5289D67−3297

DareEssexL15 x L11Bragg x D60−7965D56−1185Lee x Peking

S55−7075C1266RD52−810DyerHarosoy 63KentL49−4091

N70−1549PershingRenvilleRenville x CapitalBraxton

M372(Lincoln x Richland) x KoreanAmsoyD68−127DavisKanrich

Peking x ScottPickettSemmesWayneR66−1517D61−618

HarkAltonaCusterLee 68R62−550Wayne x KanrichYorkYoung

D64−4636Pickett 71Beeson

CallandCorsoyCookN77−179D70−3115Amsoy 71

D68−18BonusColumbusMack

TN5−85WilliamsL66L−137ForrestL69−4143SwiftWilkin

CrawfordSpriteTracyBradley

Essex x L69−4143EvansHodgsonJ74−39J74−40Lee 74M63−217Y

N73−1102T80−69PI 71.506

BrimCentennialDillonHagoodPioneer 9381TN81−2

BedfordHarcor

V68−1034AmcorBayGasoyHolladay

HutchesonTN89−39CenturyCumberlandFranklinKingwa

L707−543GOaklandPella5601TElfGnome

LawrenceWilliams 82DouglasPRX9−249PRX9−274Epps

DawsonGordonLefloreOzzieZaneFremontKershaw

Narow

R66−873

Jackson

Volstate

Tokyo

1925 1950 1975devYear

Figure 6: Plot of the shortest path, highlighted in green, between the varieties “Tokyo” and “Narow”superimposed on the full genealogical structure, using a bin size of 3.

are bolded and green, by default. Also, variety labels in the path of interest are boldfaced, by default.

Using the plot, we immediately recognize that the path spans most of the years in the full datastructure: “Tokyo” appears to be the oldest variety in the data, and “Narow” appears to be among theyoungest. We note that many varieties have development years between 1950 and 1970.

However, this plot has significant empty spaces between the distinct bins, and almost all text labelsare overlapping, causing decreased readability. To force variety text labels into these spaces, the usermay consider choosing a larger number of bins. Hence, we next examine a bin size of six:

22

> plotPathOnAll(pathNT, sbGeneal, ig, "devYear", bin = 6) + ggplot2::xlab("Year")

Figure 7 shows that the bin size of six successfully mitigated text overlap compared to Figure 6,which had a bin size of three. Most of the remaining textual overlap is confined to the range of years(1950-1970) of which the most varieties had development years.

Notice from Figure ??, that the default horizontal axis label for the plotPath() method has a value of“Date”. Given that the “Date” variable in this example dataset is on the timescale of years, we wantedto change the default value of the horizontal axis label to “Year”. We did this in the code above for

A.K.ClemsonManchuA.K. (Harrow)

ArksoyPI 54610

Dunfield

IlliniPalmettoPI 70502PI 71597

MandarinNo.171Mukden

Mandarin (Ottowa)Lincoln

RichlandM10

Dunfield x Haberlandt

CNSPatoka

D49−2510D55−4090

Ogden x CNSS 100

WellsAdamsLincoln x Richland

ClarkN45−745

BlackhawkHawkeye

N45−745 x (Ogden x CNS)OgdenPerry

RoanokeClark x CNS

D49−2491Lincoln x CNS

AndersonC1079Capital

D55−4159D55−4168DormanHarosoy

N48−1248N48−1867N55−5931R54−168

D58−3358F59−1505

D59−9289D60−7965C1069

ChippewaDavis x Peking

LeeRansom

Clark x BlackhawkN48−1101D65−6765D51−2427

Ralsoy x OgdenRoanoke x (Ogden x CNS)Cutler

D49−2491 x JacksonFordHill

HoodL11L15

L57−0034Merit

N72−3213

S62−6−16−12Bragg

D60−9647C1253

D59−5289D67−3297DareEssex

L15 x L11Bragg x D60−7965D56−1185

Lee x PekingS55−7075

C1266RD52−810

DyerHarosoy 63

KentL49−4091N70−1549PershingRenville

Renville x CapitalBraxtonM372

(Lincoln x Richland) x KoreanAmsoy

D68−127Davis

KanrichPeking x Scott

PickettSemmes

WayneR66−1517D61−618

Hark

AltonaCuster

Lee 68R62−550

Wayne x KanrichYork

YoungD64−4636

Pickett 71BeesonCallandCorsoy

CookN77−179

D70−3115Amsoy 71

D68−18Bonus

ColumbusMack

TN5−85WilliamsL66L−137

ForrestL69−4143

SwiftWilkinCrawford

SpriteTracyBradley

Essex x L69−4143EvansHodgson

J74−39J74−40Lee 74

M63−217YN73−1102

T80−69

PI 71.506Brim

Centennial

DillonHagoodPioneer 9381

TN81−2BedfordHarcorV68−1034

AmcorBay

GasoyHolladay

HutchesonTN89−39

CenturyCumberland

FranklinKingwa

L707−543GOakland

Pella5601T

ElfGnome

LawrenceWilliams 82

DouglasPRX9−249PRX9−274

Epps

DawsonGordonLefloreOzzie

ZaneFremont

Kershaw

Narow

R66−873

Jackson

Volstate

Tokyo

1925 1950 1975Year

Figure 7: Plot of the shortest path, highlighted in green, between the varieties “Tokyo” and “Narow”superimposed on the full genealogical structure, using a bin size of 6.

23

Figure 7 by appending appended ggplot2 syntax.

Plotting pairwise distance matrices between a set of vertices

It may also be of interest to generate matrices where the cell colors indicate the magnitude of a variable(such as the degree of the shortest path) between all pairwise combinations of inputted varieties. Thepackage ggenealogy also provides a function plotDegMatrix() for that purpose.

Here, we plot a distance matrix for a set of 8 varieties, defining both the x- and y- axes titles as“Soybeanlabel”, and the legend label as “Degree”. Syntax from the ggplot2 package can be appended to tailorthe output of the plotDegMatrix() function. In this case, we denote pairs with small degrees to becolored white, and pairs with large degrees to be colored dark green, using scale_fill_continuous:

> varieties=c("Brim", "Bedford", "Calland", "Narow", "Pella", "Tokyo", "Young", "Zane")

> p = plotDegMatrix(varieties, ig, sbGeneal)

> p + ggplot2::scale_fill_continuous(low = "white", high = "darkgreen") +

+ ggplot2::theme(legend.title = ggplot2::element_text(size = 15), legend.text =

+ ggplot2::element_text(size = 15)) + ggplot2::labs(x = "Variety", y = "Variety")

Zane

Young

Tokyo

Pella

Narow

Calland

Bedford

Brim

Brim

Bed

ford

Cal

land

Nar

ow

Pel

la

Toky

o

Youn

g

Zan

e

Variety

Var

iety

0.02.55.07.510.0

Degree

Figure 8: Colored matrix plot showing the degrees of the shortest paths between all pair combinationsfrom a set of eight varieties of interest.

24

plotDegMatrix(varieties, sbIG, sbGeneal)

25

Figure 8 shows that the degree of the shortest path between varieties “Bedford” and “Zane” seems tobe the largest in the dataset, which should be around 10. We can verify this simply with:

> getDegree("Bedford", "Zane", ig, sbGeneal)

[1] 10

Indeed, the degree of the shortest path between “Bedford” and “Zane” is 10. The distance matrix plotprovides us additional information: The degree of 10 may be a comparatively large degree within thegiven soybean dataset sbGeneal, seeing that the degrees of the shortest paths for the other 27 pairwisecombinations of the eight varieties that we explored here are less than 10.

In a similar function plotYearMatrix(), the difference in years between all pairwise combinations ofvertices can be constructed and viewed:

> varieties=c("Brim", "Bedford", "Calland", "Narow", "Pella", "Tokyo", "Young", "Zane")

> plotDegMatrix(varieties, ig, sbGeneal)

Zane

Young

Tokyo

Pella

Narow

Calland

Bedford

Brim

Bri

m

Bed

ford

Cal

land

Nar

ow

Pel

la

Toky

o

Youn

g

Zan

e

Variable

Var

iabl

e

0.02.55.07.510.0

Degree

Figure 9: Colored matrix plot showing the year differences between all pair combinations from a setof eight varieties of interest.

Here, we did not change any defaults. As such, the resulting plot in Figure 9 contains the defaultvalues of “Variety” for the x-and y-axis labels, and “Difference in dates” for the legend label. It alsouses the default colors of dark blue for small year difference and light blue for large year difference.

26

Running this function on this particular set of eight vertices suggests that most combinations ofvarieties are only one or two decades apart in year introduction, with the exception of the “Tokyo”variety, which appears to be separated from each of the other seven varieties by about six decades.This is not surprising, because we have seen throughout the tutorial that the “Tokyo” variety is theoldest variety in the dataset.

Interactive plotting methods of genealogical data

There is a second example dataset included in the ggenealogy package of the academic genealogy ofstatisticians. More information about this example dataset can be found in the R/data-statGeneal.Rfile. We can load the example dataset of academic genealogy of statisticians (statGeneal) and examineits structure.

> data("statGeneal")

> dim(statGeneal)

[1] 8165 6

> colnames(statGeneal)

[1] "child" "parent" "gradYear" "country" "school" "thesis"

As this example academic genealogy dataset is much larger than the example soybean dataset, we canbegin by creating a plot of ancestors and descendants. The ability to plot ancestors and descendantsby generation was demonstrated using the plant breeding genealogy in Figure 1 and 2. As we believethis is the most novel plotting tool in the ggenealogy package, we will test it again here using theacademic genealogy.

We need to choose a central individual of interest in order to create this plot. Perhaps we can use theacademic statistician in the dataset that has the largest number of “descendants”. To determine thename of this individual, below we use the ggenealogy function getNode() to create a vector indVec

that contains the names of all individuals in the dataset. We then use the dplyr package to applythe ggenealogy function getDescendants() on each individual in the indVec vector. We set theparameter gen to a conservatively large value of 100 as this dataset is unlikely to have any individualswith more than 100 generations of “descendants”.

After that, we can generate a table to examine all values of “descendant” counts in the dataset, alongwith the number of individuals who have each of those values of “descendant” counts. Of the 8165individuals in this dataset, 6252 of them have zero “descendants”, 322 of them have one “descendant”,and 145 of them have two “descendants”. There are only 17 individuals who have more than 30“descendants”, and there is one individual who has the largest value of 159“descendants”. We determinethat this individual is the prominent British statistician Sir David Cox, who is known for the Box-Coxtransformation and Cox processes, as well as for mentoring many younger researchers who later becamenotable statisticians themselves.

> indVec <- getNodes(statGeneal)

> indVec <- indVec[which(indVec != "", )]

27

> dFunc <- function(var) nrow(getDescendants(var, statGeneal, gen = 100))

> numDesc <- sapply(indVec, dFunc)

> table(numDesc)

numDesc

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

6251 322 145 88 58 36 31 22 23 14 17 13 14 10 9 6

16 17 18 19 20 21 22 23 24 25 26 27 29 30 34 37

4 3 2 5 7 4 3 3 2 2 6 1 1 3 2 1

38 40 41 44 45 48 49 60 61 75 77 84 159

1 1 1 1 1 1 2 1 1 1 1 1 1

> which(numDesc == 159)

David Cox

1980

We can now visualize how these 159 “descendants” are related to Sir David Cox by calling theplotAncDes() function of ggenealogy. As such, we create Figure 10 using the code below.

> plotAncDes("David Cox", statGeneal, mAnc = 6, mDes = 6, vCol = "blue")

We see from Figure 10 that Sir David Cox had 42 “children”, many of them becoming notable statisti-cians themselves, such as Basilio Pereira, Valerie Isham, Gauss Cordeiro, Peter McCullagh, and HenryWynn. Of his “children”, the one who produced the most “children” of their own was Peter Bloomfield,who has 26 “children” and 49 “descendants”. In total, Sir David Cox had five generations of academicstatistics mentees in this dataset.

> length(getChild("Peter Bloomfield", statGeneal))

[1] 26

> nrow(getDescendants("Peter Bloomfield", statGeneal, gen = 100))

[1] 49

At this point, it would be insightful to examine a more detailed view of one of the longest strings of“parent-child” relationships between Sir David Cox and one of the two individuals who are his fifthgeneration “descendants”. We do so with the code below, choosing his fifth generation “descendant”to be Petra Buzkova. We set the fontFace variable of the plotPath() to a value of 4, indicating wewish to boldface and italicize the two varieties of interest.

> statIG <- dfToIG(statGeneal)

> pathCB <- getPath("David Cox", "Petra Buzkova", statIG, statGeneal, "gradYear", isDirected = FALSE)

> plotPath(pathCB, statGeneal, "gradYear", fontFace = 4) + ggplot2::theme(axis.text =

+ ggplot2::element_text(size = 10), axis.title = ggplot2::element_text(size = 10)) + ggplot2::scale_x_continuous(expand = c(.1, .2))

28

Figure 10: The 159 academic statistician “descendants” of Sir David Cox.29

David Cox

Peter Bloomfield

Scott Zeger

Patrick Heagerty

Thomas Lumley

Petra Buzkova

1960 1980 2000gradYear

Figure 11: The shortest path between Sir David Cox and one of his fifth generation “descendants”,Petra Buzkova.

30

This code results in Figure 11. We see that the shortest path between Sir David Cox and Petra Buzkovais strictly composed of five unidirectional “parent-child” relationships that span about 55 years. We seethat the time difference between when an advisor and student earned their degrees is not consistentacross this path: The three statisticians who earned their degrees earliest in this path span more than30 years in degree acquisition, whereas the three statisticians who earned their degrees later in thispath only span less than ten years in degree acquisition.

We also notice in Figure 11 that Sir David Cox received his statistics degree in about 1950, andPetra Buzkova received her statistics degree in about 2005. This genealogy only contains historicalinformation about obtained degrees, and does not project into the future. Hence, we can be assured thatPetra Buzkova is one of the younger individuals in the dataset, at least in the sense that the youngestindividual could only have received his or her degree ten years after Petra Buzkova. However, wecannot be assured that Sir David Cox is one of the oldest individuals in the dataset. As such, it wouldbe informative to superimpose this path of interest onto the entire dataset, using the plotPathOnAll()function of the ggenealogy package, as we did for the soybean genealogy in Figures 6 and 7.

We can achieve this using the below code. After trial and error, we use a bin of size 200, and appendggplot2 syntax to define suitable x-axis limits. The output of this process is illustrated in Figure 12.

> plotPathOnAll(pathCB, statGeneal, statIG, "gradYear", bin = 200) +

+ ggplot2::theme(axis.text = ggplot2::element_text(size = 8), axis.title =

+ ggplot2::element_text(size = 8)) + ggplot2::scale_x_continuous(expand = c(.1, .2))

We see from the resulting Figure 12 that almost all text labels for individuals who received theirgraduate-level statistics degrees between 1950 and 2015 are undecipherable. We also see that the yearSir David Cox acquired his statistics degree is somewhere in the later half of the variable date forthis dataset, as the oldest dates for acquisition of statistics degrees in this dataset occur around 1860.However, the number of individuals who are documented as receiving their statistics degrees between1860 and 1950 are few enough so that their text labels are somewhat readable.

The text labels are so numerous in Figure 12 that simply trying different values for the input parameterbin will not solve the text overlapping problem. Instead, one approach we can try is to reconstruct theplot using the same ggenealogy function plotPathOnAll(), only now specifying variables to renderthe size (2.5) and color (default of black) of the text for nodes that are on the path of interest to bemore noticeable than the size (0.5) and color (dark gray) of the text for nodes that are not on the pathof interest. Moreover, we can make the edges that are not on the path of interest to be representedin a less noticeable color (light gray) than the edges that are on the path of interest (default of darkgreen). The variable names and options for these aesthetics is further detailed in the help manual ofthe function. We provide one example code that alters the defaults of the text color and sizes of nodesand edges below, which results in Figure 13.

> plotPathOnAll(pathCB, statGeneal, statIG, "gradYear", bin = 200, nodeSize = .5,

+ pathNodeSize = 2.5, nodeCol = "darkgray", edgeCol = "lightgray") +

+ ggplot2::theme(axis.text = ggplot2::element_text(size = 8), axis.title =

+ ggplot2::element_text(size = 8)) + ggplot2::scale_x_continuous(expand = c(.1, .2))

In Figure 13, we can now see each individual on the path of interest, and how their values for thevariable date are overlaid on the entire genealogy structure. We can also more clearly see that, eventhough only ten years span between the youngest individual in the genealogy and Petra Buzkova, there

31

Johannes Conrad

Richard HenkeBernard Hazelhoff Roelfzema

Abraham VerweijJohann Jahn

Hendrik Onnen

Johannes PeekWilhelm ZornAllard HolwerdaJohannes du Saar

Louis Leon ThurstoneUrsul LelyHermann Hitzler

Felix BurkhardtWalter Schwarzburg

George BakerEdwin MouzonSiegfried Koller

Josef NovákGheorghe Mihoc

Johannes DerksenPandurang SukhatmeHans Lörtscher

Everett WelkerSlobodan Zarkovic

Herrmann (Hirschfeld) HartleyHolly Fryer

Johannes HeyneHans−Ludwig SchwarzEmil Kempf

Wilfrid DixonTheodore Anderson, Jr.

Andre LaurentMelvin Springer

Frank Massey, Jr.C. R. Rao

Sten Malmquist

Edwin DalzielJames DurbinThomas Cheatham

Cyril DombAlbert Bowker

Edward PaulsonAlan Stuart

Vasant HuzurbazarLeo Goodman

Alladi RamakrishnanRobert BechhoferSamarendra RoyWalter Schneider

Peter WhittleMilton Sobel

Erland HofstenDonovan Thompson

Franklin GraybillFred Andrews

Marcel−Paul SchützenbergerColin MallowsCharles Stein

Gerald LiebermanHerbert DavidDan TeichroewKenneth HaleyNakibe TopuzOm Aggarwal

Allan BirnbaumRussell Bradt

Stephen Allen, Jr.I. Savage

Adolf AdamGeorge Resnikoff

Victor SkitovichMartin WilkAnna Vaughan

Douglas Robson

Karl−August SchäfferPaul Meyer

Charles BollJohn Pratt

Gwilym JenkinsJerome Sacks

Oscar WeslerIrving Weiss

Anadi RoyJagdish Rustagi

Prasert Na NagoraValentin Blumenfeld

Edmund GehamGeoffrey Gregory

Tore DaleniusJaime Puig−Pey

John FolksHale Sweeny

Donald Guthrie, Jr.George ZyskindHanns Klinger

Abram ZingerJacob van Klinken

William Commins, Jr.Frank Proschan

Samuel GreenhouseB. Rao

Gunnar EklundJohn Ashford

Anand B L SrivastavaAustin J. BonisThomas Willke

Arthur AlbertWilliam PruittPeter Zehna

Franklin FisherDana Quade

Donald RobertsBabubhai ShahCharles Quesenberry

Donald Morrison

Stuart BesslerIvan Fellegi

Gerard LeppinkDamaraju Raghavarao

Jon RaoEdward Perrin

Selig StarrGunnar KulldorffAnant Kshirsagar

Eugene Lehman, Jr.

Walter WoodsZakkula GovindarajuluOlle Hoflund

John Bishir

Joseph KullbackLloyd Bell

Robert MillerDieter RaschRichard Barlow

Friedrich GebhardtRichard Singleton

Mars CramerShelemyahu ZacksArnold Goodman

Tito MijaresP. S. SwamiOtfried Beyer

Masashi OkamotoGeorge Tiao

Carol Edwards

Donald BentleyTeunis Terpstra

William MalliosMurray Geisler

Jean GibbonsRobert Odeh

B. KaleLaurence Herbst

Pranab SenWitold KloneckiAbram Kagan

Elizabeth YenTadeush Mar'yanovich

Ene−Margit TiitPramod PathakEugene Laska

Hans ZweigKarl Jöreskog

Joseph Gastwirth

Raghunandan BhargavaJean FortierIzak Mauritz van Aarde

Paruchuri KrishnaiahS. A. DossRaymond Myers

William HunterOm Srivastava

Amalia KhusuGordon Antelman

Khursheed AlamAdnan IframF. Smith, Jr.

Johannes Venter

Rajinder HoraMartin SchatzoffAndrej PázmanJohn Fryer

Richard KronmalJohn Thornby

Muni SrivastavaDonald MacEachern

Hans VahleLee Smith

Paul SwitzerAnis Kanjo

Oleg ShalaevskyReinhard Trommer

Roy MiltonLubomír Kubá..ekHoward Taylor, III

John HewettElias Parent, Jr.Chaim Sternin

Milton Chew, Jr.Leland Stewart

Nina MitrofanovaHari Ram Singh

Joseph SchoderbekIrina Romanovskaya

Nariaki SugiuraBryant Chow

Stratis KouniasJayant Deshpande

Md MostafaJi..í And..l

Raymond ChiaoVladimir Kolemaev

Carl MorrisGerald Chase

Nigel NettheimJohn ChambersHerbert StuderDavid Sylwester

George HextManavala DesuRichard Schwartz

Mary BlomquistKenneth Mullen

Margaret GessamanLyle Broemeling

Paul SeegerMartin KnottLarry Ringer

Paul ShamanToby MitchellGrace Wahba

Joseph George CaldwellAsit Basu

Donald SwainPaul Milch

Satindar KumarBhagavatula Prakasa Rao

Boris IglewiczJean−Paul GimonLeon Rappaport

Willi WalserStephen StiglerJohn Radcliffe

Jayaram Borwanker

P. KnopovRonald HacklemanTomislav ZecevicMarvin LentnerJ. Wanzer DraneStanley Sclove

William SmithSamprit Chatterjee

Chien−Pai HanPaul Hinz

Donald McNeilMahmoud SamarraiJana Jure..kováWilliam ShonickDavid Gomberg

Nikolai BodinSerguei Aivazian

David MooreMohammad AliPaul Feder

Marilyn SorumVirgil Craiu

Suharto SoedardjoChristos Tsokos

Walter JahnS.W. Lee

Y. ChungMartin HamiltonAndrew KalotayMichael Perlman

Mark BrownRobert Lochner

Sheldon RossJohn Gittins

Dana Vorlí..kováJagdish Patel

Harold Sackrowitz

Corwin AtwoodWolfram Herold

Arjun GuptaHans−Hermann Bock

Edward Wegman

Florence GordonSterling McGuireBen Houston

William Cooke, Jr.David BerryThabet Ahmed

Ralph D'AgostinoRoger Jones

Sumedha SenguptaMarie Hu..ková

William Cleveland, IIRobert Fossum

Charles Phillips

Adam TaubeWolfgang WertzAaron Tenenbein

Anthony BullLeo Knüssel

C. TharakanRobert Davies

Jerald LawlessJohn AbrahamChristopher Robertson

Marshall SylvanJustus Seely

James ArvesenThomas BratcherMaxwell Layard

Li TuEdwin Bradley, Jr.

Peter EnisGeorge Styan

Claude LoadholtFrançois Steffens

Victor YohaiRobert Azencott

Peter AndersonCharles MannDonald MarcotteJack Kalbfleisch

Prabhaker Ghangurde

Edwin ChenSubrahmanian Panchapakesan

Doris Lloyd GroshJoachim Krauth

Frederick Glick, Jr.Carl Roux

Abdollah HadianGeorge MillikenThomas BurnettAnand Katiyar

George StojkovicJulius Jonas KruopisRolene Cain

Huynh HuynhGary McDonald

Donald McCaughranDennis YoungRobb Muirhead

Robert LingIvo Molenaar

Vyaghreswarudu SusarlaJames Ware

Richard Shorrock

Elliott NebenzahlJack DoyleJames Reinmuth

Alvin RainosekEtan MarkowitzBernhard RügerJoel GoldmanCharles Lewis

William SchucanyBurt Holland

Marcello PaganoArlo Hendrickson

John BeckwithKlaus Nagel

Floyd SpraktesWilliam Vaughn

Walter JohnsonRichard Fawcett

Lyman McDonaldNorbert Victor

Ganapati Desai

Allan SampsonGraham UptonAbdelaziz Laghrari

Paula DiehrRoberto Mariano

Ralph KromerPerry Gluckman

Melvin MoeschbergerKenneth WaughTakis Papaioannou

Helmut StrasserGeorge FishmanWalter Pirie

Gary Chase

Kenneth WeldonKathleen Lamborn

George DuncanJonas EllenbergGene Sogliero

Thomas PolfeldtRichard Schwaller

Thomas Kelley

Dallas JohnsonVladimir EidlinEdgar Brunner

David ThomsonMuhammad Zaatar

William PadgettBruce TurnbullFederico O'Reilly

Warren RogersMarshall Clevenson

John Kinney

Sidney HinkleyNeil Arnason

William DuMouchelChandra Gulati

Prem GoelNguyen Van Ho

Christopher WithersJames Reading

Edward BrillDale BorglumDar−Shong Hwang

Roger Haboush

Essam Al−HussainiPeter Macdonald

William (Bill) BarksdaleJames DavenportDavid Hosmer, Jr.

Gennady KartashovDonald Berry

Harald FritzschLouis Jensen

George CanavosJanet Milton

Roy ByrdBarbara Grabner

Gary SimonRaj Chhikara

Karen FungOwen Whitby

Louis GordonStuart DufourSally SieversRobert LindJohn Quiring

William NicholsAlexander Papadopoulos

Anders ÅgrenAnthony OlsenAdrian SmithRobert Woolson

Peter RobinsonJoseph Lockett, III

Jay DevoreAlbert Kinderman

John HallTertius de WetMariana Craiu

William TaylorFurman Smith

John MacGregorGoro NagaseAshim Mallik

Dai−Young KimStephen HardimanRolf SundbergCheng Hsiao

Andrew DaleMarion Reynolds, Jr.

William CoberlyKlaus RichterWilliam Warde

Stanley ShapiroPeter BryantGene Lowrimore

Tea−Yuan HwangJohn EcclestonJohn Sennetti

Pedro VitBenjamin Kedem

M(arilyn) Nancy GellerDavid Osteyee

Anil GoreJohn Crowley

Luciano MolinariMikhail Nikouline/NikulinUttara Rasmussen

David EdgertonRameshwar Gupta

Dale RasmusonDouglas Jones

Jan de LeeuwThomas Santner

Laurel Smith

Nozomu MatsubaraYuri BorovskikhCarles CuadrasJanet Campbell

James MaarGlenn Shafer

Marcus Spruill, IIIRichard JarrettAndreas Bellmann

Kazem MohammadGisbert Quelle

D. Anton FlorianThomas CorwinLonnie Shepard

William VenablesSamuel Givens

Anilkumar KharshikarJonas Jusas

Wolfhart JungRené Hirsig

Richard Monahan

Alan UngerR.P. Singh

Andrzej KozekJames GentleFan−Nan Lin

Yasuko ChikuseAbou Khidr

Erich NeuwirthRicardo Maronna

Thomas Norwood, Jr.William Davis

Bruce LevinWilliam SwallowCharles Pfeifer

Reider PetersonMichael Goldstein

James DalyLennart BodinRichard Katz

John Holt

Syed Shamsul AlamStanley Eckert

Bogus..awa Bednarek−Kozek

Zuzana Prá..kováGünter Hohmann

Jack TomskyVasan Thanyamanta

James Inglis

Henry Braun

Martin O'Connell

H. Sanford WeisbergShibdas Bandyopadhyay

Ralph KodellWilfried Grossmann

Gideon WeissErsen Arseven

Kasra AfsarinejadLarry Muenz

Harold HudsonRonald GlaserKazimierz Karpinski

Anthony O'Hagan

Reinhold BergströmJack Lutz

Judith LesslerPaul DeheuvelsPaula Norwood

Steven SidikBo Ranneby

William CumberlandLynda WhiteAlbert Petkau

Gary ClarkAjitkumar Tamhane

Marion GreenWinfried StuteIvan Volný

Farrokh Guiahi

Joseph CchmielDavid BerengutDmitry Skryabin

Vernon ThomasArthur Roth

Katherine MontiCharles Lund

Allan SkeneMara McLaren

Hermann HabermannJan Amos Ví..ekWilliam Meeker, Jr.

John WhiteheadBruce Schmeiser

Marjorie PetersonSelén JanNoel Cressie

Nitis MukhopadhyayT. Srivastava

Arne Wunderlin

Staffan UvellKerstin VännmanPatrick Brockett

Joan Sander

Robert LattaIosif Melamed

Magdalena RutkowskaHsien Lin

Takeaki KariyaMelchor Ortiz, Jr.

Bovas AbrahamHarry ParkerWilkie ChaffinGloria ZerdyJoão Gilberto da Silva

Anthony SwainEdward JonesGary Regula

Raymond WilliamsAndré TchenAntoni Styszynski

John TurnerDennis Brady

Harold Diamond, Jr.

Margareta Holgersson

Lloyd BondMahmoud Daneshmand−Firouzabadi

David ScottThomas WehrlyTed SzatrowskiNira HerrmannRyszard Magiera

Georg PflugCharles ShafferRoland Günther

Basilio PereiraJosé Bernardo

Margaret Wesley

James PongTerence O'Neill

Raul MentzThomas Snabb

Dag Sörbom

Michael Jacroux

Le Anh SonGreta LjungDennis Kern

Peter HallArthur Peterson, Jr.

Siddhartha DalalJames TiedeRichard Burdick

Anthony Quinzi

Norbert MatzlLennart RhodinNarendra Nath SinghSanford Brubacher

Yogendra ChaubeyJohn Hyde

William Raynor, Jr.

Vasile PredaCzes..aw St..pniak

Daniel MihalkoLe Roy FranklinAhmad Mattar

Ronald ButlerJohn Henstridge

Ronald ThistedMari Palta

Boon Ong

Atsu DorvloRobert NorlandBeth Gladen

Joseph DekenJulia Norton

Anthony BrykClaudio Silva

James RosenbergerStanley Wasserman

James Leeper

Yehuda VardiPerry HaalandRoger Berger

William DupontJohn PanaretosPeter McCullaghBengt SwenssonAndrew Siegel

Leonard Howell, Jr.Max Morris

Robert ShorePeter FortiniBrenda Cox

Douglas MallenbyDavid Jones

Julián de la Horra NavarroWilliam Glynn

Charles Holt, Jr.Mohamed ElBassiouni

Abhaya IndrayanBengt MuthenGejza Wimmer

Amitava MitraDaniel KrewskiRajan ShinghalSheryl Kelsey

Friedrich SchmidVladimir DonchenkoVijayan Nair

William NotzPeter Sander

George KokolakisDavid SpiegelhalterPascale Rousseau

Ina MullisAsad ZamanS. Prasad

Marlos VianaChap Le

Girdhar AgarwalJohn Marden

Russell BartonE. Jacquelin Dietz

Tadeusz RadzikMohammad Meshkani

Robert DuinOscar Bustos

Sophronia WardMark Berman

Jan HurtMaria Ivette Gomes

Ulf OlssonMurray Cameron

Paul JanssenEdward Korn

Krzysztof OrlowskiMargaret (Chmielewski) Nemeth

Hajime TakahahshiJessica Utts

Jay LubinMelvin LinnellErik NordheimDennis Weier

James AndersonJürgen Pilz

Damon DischAli RejaliRobert Wesley

William Rogers, III

William McCormickSue Leurgans

Michael Chernick

Sam ChoyRouh−Jane Chou

David BrooksZvi GilulaKumud Singhal

Annick Lambert

Timothy ZgoncCharalampos Saraidaridis

Eckhart ZinziusKaren Kafadar

Ashis SenGuptaJohn Sedcole

John KellermeierWoo−Chul Kim

Bentson McFarland

Paul Swank

Göran BroströmReinhard Hilgers

Michael NussbaumVincent LaRiccia

Robert KeenerWerner Nagel

Carol Link

Fereydoon AhrabiJack Kaplan

Andrei Makshanov

Barbara StaufferVictor Guerrero−Guzman

Maria Rivera de BaezCurtis WiltseJonathan HoskingDavid Tyler

Jean−Loup Madre

Michael MackJames Albert

Richard LockhartRon Kenett

Richard GreerAndré CabannesGabriel LemieszPaula RobersonSusan Hinkins

Janice DreachslinGisela Quiring

Kamal AbeywickramaRaghu Kackar

J. M. DufourHoke Hill, Jr.Charlie Fiskeaux

Suan−Boon TanIngrid Gnutzmann

Jiunn HwangMarvin GruberSuzanna Wong

Thomas McWilliamsMarlene Egger

Delores ConwayKrzysztof Szajowski

Jayanti Chotai

Florin GorunescuSteven SimmonsPaul Sampson

R. I. WebbWalter StroupL. Mark Berliner

Alfred ReichStergios FotopoulosAlvaro Muñoz

David TritchlerJessica PollnerCyril Grivet

Gordana JelisavcicCharles McCulloch

P. T. Spiller

Gopalan Tirumalai KumaraChristos C. Frangos

Bengt KlefsjöReinhold Hatzinger

Barry QuinnDavid Hamilton

Mahmood SamieiChristy Chuang−Stein

Paul LinDebra BernsteinWilliam Halteman

Clarice RingAbdul Azzam

Margaret StewartRoman RozanskiSharayu Paranjape

Anne HoutmanV. K. Verma

R. A. ReynoldsCarlos Pereira

Tomá.. CipraLeandro PardoHanns Ackermann

Harry Khamis

Paul McAllisterWilliam Heavlin

Robert BellR. Clifford Blair

Ricardo Fraiman

John Bacon−ShoneAvinash DharmadhikariAlain BerlinetNeville WeberDipak Dey

Hemanta Kumar BaruahSabine Nagel

Ram Tiwari

Chen−Hui FooRafael BruPatricia Grambsch

Kesar SinghVicki HertzbergBrenton ClarkeRichard LomaxNaihua Duan

C. LawrenceJohn KitchinCheng Chen

Marnix Vandemaele

Dianne Finkelstein

John Reynolds

Milton LoyerWillem HeiserRainer GebhardtKao−Tai Tsai

J. RanganathanRanganath Rattihalli

Cyril StatherPeter Albrecht

Hans−Georg MüllerNeil Willits

Robert MeeRichard Picard

Weichung ShihRudolf MatharDavid HardisonBernard WatsonE. Gabrielle Kelly

A. SiowBillie SlaterJohannes Gladitz

Mikhail TikhovSteven SelfHannu Oja

Constantine GatsonisLorrie Hoffman

Yih−Shyh YuhMichael Cohen

Stavros KourouklisGregg Dinse

Ramalingam ChellappaDalice SimYoav Benjamini

James BergumChak Tso

Norbert HenzeKeng Lim

William VollmerPeter SpirtesWerner Ploberger

Barbara McKnightLeslie Bernstein

Mool AgrawalWilliam J. RileyAlan Kimber

Nasser ArghamiSteven LalleyLars LybergFionn Murtagh

Edward GeorgeJohn KalkAllan Wilks

Chronis MoyssiadisLawrence Muhlbaier

Harry TigelaarT. DurairajanR. J. Krumm

Wijetunga AriyaratnaLuis Pericchi

David LaxJames SweederRichmond Oldford

Joseph VerducciPartha Majumdar

Vladimir VolkovichMichael CragerKeaven AndersonAnthony Warrack

Pe−Cheng WangChristopher Jennison

Bruce Cooil

John GillespieAdger ButlerJudith Koslov

Imogene McCanless Grimes

Lincheng Zhao

Smita NabarNeil Poulsen

Cheng−Tao ChangS. G. Grubaugh

Jaromír AntochKung−Yee Liang

György TerdikJohn McDonaldArthur Fries

Dennis JenningsMike WestMark DunnHarri Kiiveri

Robert StineZhidong Bai

Timothy ReadWolfgang Härdle

Michael Hale

Lisa Weissfeld

Cornelius BeckerSantiago Carvajal

Siamak NoorbaloochiMinoo Niknian

Anthony KukChen−Hsin ChenJee Kim

Michael ConlonKaizo Beltrão

Wolfgang Schäfer

Robert Chew

Luigi PaceJohn SheltonYih−Fang HuangRuey Tsay

Jack Gambino

Jairo ArrowWenceslao Gonzalez−Manteiga

Nancy FlournoyKathryn ChalonerAkimichi Takemura

Gail GongGlenn Galfond

Steven FahrenholtzGeorge RungerGauss CordeiroAdelchi Azzalini

Flavio BartmannMiriam Goldberg

Yi−Ching Yao

Milan Ty..lerJulio PeixotoJonathan Arnold

Alexandre TsybakovSheryl BartlettJinde Wang

Stephen PetersEndel Orav

Jerry HalpernChih−Ling TsaiJ. Brian GrayAndre Rogatko

Lothar BoltzeBarbara Alvin

Werner GoldmannFredrick WhaleyChristhard Pilder

Daniel ZeltermanYoshimichi OchiKutyar MadhavraoMatthew Knuiman

P. E. RossiAntonio PossoloJavier Cabrera

Benno FellenbergPieter Kroonenberg

Jerry LewisDavid FairleyMary Ferdon

Pedro Rodríguez Esquerdo

Graciela BoenteMichael Budde

Anestis AntoniadisAmanda GolbeckColin Muirhead

Michael WächtlerV. A. Samaranayake

Shun ChenKatarina JuséliusStephan Kolitz

Lawrence PettitGerhard TutzRobert ParkerShirley Mills

Bhaskar BagchiMichael Andrew

Julio SingerByoungSeon ChoiPaul McClellan

James StockDavid EdelmanA. VermulstAshot Kakosyan

Michael WenocurPeter Westfall

Timothy ChampneyAnu..ka FerligojM. A. F. Aboukalam

Ghasem TarmastDavid Steinberg

M. Baxter

L. E. HarrisP. JorionM. Schiff

Ya'acov Ritov

Wolfgang SchmidSherrie Emoto

Chinnaphong BumrungsupMaciej WilczyñskiRobert Mauritsen

Domingo DocampoChen−chi Shing

Arlette Dubois−Besnard

A. PenatiCharles TaylorAhmed HarounAbbas KezouhRobert Kunst

Tamás SzentimreyDennis PearlMichael Stein

Anthony DavisonJeffrey WilsonMyung−Hoe HuhMichael Hogan

Siu Ho

Seung−Ho LeeOthman Abu−Libdeh

Terry Rudolph

Stephen HillisRoland PetterssonYosu YurramendiWalter Thurman

John SchollenbergerSmail Adjabi

Rafael MolinaFabien CampilloTerry TherneauDavid Henry

Alfredas BasalikasMaureen LahiffNelida Ferretti

Babatunde AyeniDhafir Rashed

B. Y. ThanoonAli HadiAlan Welsh

Donald PhillipsB. ChandrasekarV. Sampathkumar

Alladi SubramanyamManel WijesinhaSubhabrata Chakraborti

David BanksRobert TibshiraniGeorgia Roberts

Roman Viveros−AguileraJohn Skalski

Robert FountainBetsy Becker

KyungMann KimHuang Hsu

Shlomo SawilowskyPhillip ChapmanNicholas Lange

Haragopal VajjhaKalimuthu Krishnamoorthy

B. R. MoultonA. C. MacKinlayKrzysztof Ostaszewski

Dayanand NaikFah Gan

Joseph MarhoulDeborah Burr−DossShane Pederson

Steven Rigdon

Roberto PaduaPreston Dinkins

Dietrich von RosenC. J. Simon

Hermann HochGordon Smyth

Lennart NilssonCyntha StruthersGlen Satten

Dirk MooreSusan Holmes

Daniel HeitjanJan van Schaik

Khosrow DehnadMichael JordanJames Hodges

Robert McCullochHisham Hilow

Kees ZeelenbergHoward ProskinVassilis Giakoumakis

David Ospina−BoteroJoseph PigeonJean−Pierre Lacombe

A. Alonzo

Sutaip SawFahoum Saleh

Nikolaos Farmakis

Volkan AkmanCornelius GutenbrunnerMalik Malik

Joan StaniswalisDaya Nagar

Daniel WardropNathaniel Schenker

Clifford PereiraDennis Wisniewski

Henrik Ramlau−HansenLloyd JaisinghMilorad KovacevicRichard Carson

Stefan Huschens

P. J. de JonghDebabrata Ray

C. C. P. WolffPatty Solomon

Hannelore LieroChristopher Aston

Vishnu KantPeter Erward

Emmanuel Lesaffre

Alun ThomasMark Segal

Richard DeveauxYong LeeChul Ahn

Susan SanchezRichard Meltzer

Stephen HaslettHenri Gwét

Beatrice Baldwin

Kurt Hornik

Jayendu PatelRichard Highfield

Luis Alberto Manas−AntonJames Bock

Christine Graffigne

Peter MunsonBrian Thelen

Gunnar RosenqvistGerald Dorfman

Alan BelstockJens GrügerDiane Duffy

El−Houssainy Rady

Shyamala NagarajDieter Hauschke

Gerold PetritschGeorge YoungSheela Deo

Jan BeranNunta Vanichsetakul

Gösta HägglundKatherine Ensor

Amina Saleh

Siva SivaganesanMiodrag Lovric

Ann GouldA. John Bailer

Richard LynchMohammed El−Saidi

Edsel PenaAlan Lippman

Chris GenningsPui Lam Leung

Michael Sørensen

Melinda Harder

Alain Latour

Inchi HuZdzislaw Porosinski

Peter WakkerSoon−ki Kim

Prabir BhattacharyyaMohan Delampady

William RayensDavid Holiday

Jacqueline MeulmanVera Pawlowsky−Glahn

Patricia ZybertDale Kraemer

William BarlowR. SureshSushama Bendre

Ernst UnterluggauerClaus Weihs

Byeong Uk Park

Christine Thomas−AgnanLawrence MoultonPeter van der Heijden

Wendell JonesDavid Venzon

Michael PowersLingo Hwang

Glenn HellerDavid SessionsMark SteelSharon NavardHeiko BecherHa−Hyun Jo

J. DijkstraAnnick LeroyJer−Yan Lin

Dani Gamerman

Jorge Aragon

Trivellore RaghunathanEuyhoon ParkJohn ThomasRaid Amin

Katarina Ko..meljCalvin Williams

Kun−Liang LuJose (Pepe) Quintana

Mohammed AlamTatsuya KubokawaChung−Chung WuSung Ahn

William VeloceJosé GarridoMei−Miau Wu

Jan Van Rijckevorsel

Elisabeth GassiatRonald WassersteinEduard Kolomietz

Konstantinos ZorgafosSucharita GhoshChristian RobertMichael Lavine

Theodore MicceriGyu JeongJosé GalloHyung Lee

Paul VosMargaret Copenhaver

Alfonso GordalizaDavid KaplanIsabel Llatas

David MorrisDavid Firth

Pronita Sharma

Claudia KlüppelbergJens Breckling

Diane ThroopJahja UmarTony Fung

Pentti HaaraNaveen Bansal

Ashok ShanubhogueMark Knowles

Min XieArup Bose

George BretthorstLynn Gale

Abraham IsraelsSamia El−Arishy

Sophie Peña

Ahmad AkhterR. NealCajo ter Braak

Stewart AndersonGilberto PaulaNino Kordzakhia

Mortaza Jamshidian

Ahmed BousbaineClifford Sutton

Larry Wasserman

Christopher WilliamsPatrick DeFeoHenry Slotnick

Marta Garcia BenNola Tracy

Ewart ShawRamakrishna ShenoyKhandaker Mansur

Greg Allenby

Wolfgang Bischoff

Roger Davis

John Richard WilmothJörg van Hoorn

Inna Kirillova

Marian BaumlerRichard Rossi

Taoufik ZoubeidiCarl SchwarzHyune−ju Kim

Somnath DattaSang Kim

Donald Trost

Pichai IntarapanichIbrahim IbrahimShigeru Iwata

Walther NeuhausSaeid AminiDavid Shore

Marie BodwickFrederick Spiring

Patrick TendickJoão Mexia

Sanjay AroraGordon DoddsMatthew Clark

Nora DonaldsonWai−Yin PoonDonald Hoover

Emmanuel Awuku−DarkohJoseph Ibrahim

Brian MarxRobert AhlbrandtBurton MguniEmma Frazier

Madhuri MulekarKamel Rekab

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Timothy HesterbergAnthony EntsuahMarc AertsEduardo EngelIrene Ferreira

Phillip NortonJohn CulverhouseSeyed Seyedghasemipour

Joo KimNicholas Polson

Laurie MeauxLinda Sharples

Christos KoukouvinosBelén Sánchez Valverde

Subhash KulkarniCorazon DatingEeke van der BurgSiu−Ming Tam

Paloma SanzMichael Jubb

Paulo Hollanda−Sales

Adelbar SampaioPenny Brasher

Brett PresnellAchilles Venetoulias

Jiayang Sun

Guorui BianPhilip RamseyKatrina Sharples

Ulhas Dixit

Steven RamsierMan−Suk Oh

Dipankar BandyopadhyayCornelis Van Montfort

Yaohua Wu

Somesh KumarJulio Angel PardoDavid Bradley

Ana Maria TabundaPeter Craig

P. VellaisamyKevin DoneganAndrea GubserCharles Heckler

Bruce KoonsJosé RamírezDanyu Lin

Ian DrydenKaren Young

Necip DoganaksoyTsai−Hung FanXin Tu

Christiana DrakeAli Barakat

Mohammed Ghurra

Chansik HongChong Man Kim

Miin−shen YangXu−Ming HeBrenda GundersonZen−Yi Chen

Alphonse AmeyJeremy Weedon

Shirley JohnYuehua WuSylvia Lenz

Anwar HossainIndushoba Chengalur−Smith

John CologneRaymond AdamsMiguel Delgado

Ole HesselagerRobert Hoekstra

Jan KosterRobert Davis

Mark HandcockChyi−Hung Hsu

Patrick FlorchingerLue Ping ZhaoClaudia Czado

Iris YeungMatthias Kudra

Rahim MoeanaddinDuncan AtwellFabrice Gamboa

Maiwei ChenJ. Jack Lee

Robert Weiss

Olaf GefellerValen JohnsonJohn KolassaJoseph ChangWilliam Kahn

Kimberly HockmanWon−Chin HuangPei−San Liu

Dale HathawayFreddy ReimannPaul Murtaugh

Catharina BijleveldMichael LavioletteGeorge KarolyiYow−Jen Jou

Jürgen BöttcherJohn Bunge

H. ThomaPhilip Kokic

Kiseok LeeBahjat Qaqish

Paul KvamHendrik LopuhaaIrène Gijbels

Kathleen PropertJacira Carvalho da Rocha

Hyung−Tae HwangPao−Sheng Teng

Jeffrey AlbertDiana Whistler

Kyung−Sung KimNarbik ManukianMarinus Van der Leeden

Richard Anderson−SprecherBernardus Bettonvil

Hang Keun RyuZhao OuyangAmar Nath Gill

Florinda Capone

Jaimie HebertFrancisco Pino

Yong Hao

Éric MarchandMichael Rozum

Donald MercanteAndrew Cairns

David LeeLynn ShortSharon−Lise Normand

Stef Van BuurenMyung Kahng

Seh−Jin Chang

J. P. KairysSimon Young

Diana Kelmansky

Shande ChenDavid MadiganC. Venkatakrishnan

Ka Ho WuKeying YeKenneth Nordström

Sally MortonKim−Anh Do

Piotr BajorskiBarbara KuzmakJian−Feng YaoRashad AminJan HanousekPeter SwankJeanie Weng

George WatsonPetros Dellaportas

Lillian LinRicardo Cao AbadLawrence Joseph

H. ChoeBiljana Popovi..Ana Bianco

Guillermo MarshallLutz Dümbgen

Erniel BarriosPing SaMariza de Andrade

David Agard

Rong ChenYounshik Chung

Richard BrophyNasrolah Bashardoost

Lakshminarayan ChoudurBinod JoshiMaria Lina Vicente

Hong ZhangNhu Le

Rita EngelhardtVidyagouri PrayagJian−Shen Chen

Christopher SchmidJörg Buchholz

Jelloul AllalLewis Van Brackle, III

Kenneth GraySara Wheeless

Ronald ThompsonWerner MüllerSilvia Ferrari

Jürgen Kübler

Martin KiddThomas ReganDavid LanskyRonald BarryIvan ..e..ula

Catriona Queen

Steven GilmourSuzana DruckRobert Capen

Hans BoscherRichard Middleton

Laurence RobinsonIris ZöllnerOliver Linton

Francis YueA. E. Sorour

Daniel MundfromLuis Felipe Figueroa

Sheikh RahmanSneh Gulati

Jun Liu

Jo..e RovanGyo−Young Cho

Young LeeKishore Gawande

Dong KimParichehr Hemyari

Karen GoldYuhwen Soo

Paula BritoMark PaytonU. Lavaraj

Wolfgang Scherrer

Ian MarschnerJunfang LiEtienne Trauwaert

Andre KrautJay BreidtYuan−Chin Chang

Chang−Ha HwangStuart Coles

M. Rezaul KarimEnivaldo RochaAndrew LawsonSung Suk ChungGetulio Silveira

Yongxiao WangJoão Manuel Andrade e SilvaMarek Malý

Dennis Walsh

John OrazemMarcia CiolMelinda Drum

Ursula Krämer

Jay Ver HoefRon Lamb

N. Balakrishna

Marianne Rose

Eric JacquierKun He

Ho−Jan ChangNeeraj Misra

Robert LeeDalisay Maligalig

Shahjahan KhanDavid Hanagal

Ming−Long LamRobert Strawderman

Nikolay KorolevPing YanSungsue Rheem

Yoon Kim

Jinnam JoTherese Pigott

Jonathan WakefieldPatricia English

Cindy ChristiansenJoseph Sucher

Chao WangNelson de Oliveira

Bohumír ProcházkaBiao Zhang

Elizabeth Sheppard

Lloyd ManclShubha Dhavalikar

Marcel MassimbCamlin Tierney

Victor LoA. Grieve

Nedret BillorAlain Franc

M. Isabel Fraga AlvesChun−Houh Chen

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Daniel JanasYoussef BenghabritSudeep Kundu

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Rianto DjojosugitoChung−ki Min

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Joseph CroosJuan Manuel Rodriguez PooYong Wang

Wanyun LiuGuy Nason

Andreas ChristmannSindee SutherlandMarc PijnenburgArminda Siqueira

Chiranjit MukhopadhyayRolf LarssonTor JacobsonAna Quiroga

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Kwee Yeo

Bruno Sanso

Wilhelm Sauerbrei

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John Borkowski, Jr.Brani Vidakovic

Raul MacchiavelliNadarajah Ramesh

Yoshihiko KonnoMartin Sharry

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Willard BraunMohammad Raqab

Guo−Wen SunMichael Mosier

Robert CouchleySalilesh MukhopadhyayMohammad Al−Saleh

Susan RosenkranzAnnick BérodGünter Schwarz

Leonard Hearne

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Abdelaziz El MatouatSpario Soon

Barbra RichardsonRob Hyndman

Marianne HuebnerLasse Koskinen

Mei−Jih GeeFelix AbramovichKenneth Frank

Tim KeyesPatrick Groenen

Chris Rogers

Emilia SakuraiJonathan ForsterRobert Steiner

Randy Bartlett

Alejandro FreryPascal LavergneKrzysztof Podgórski

Vincent Carey

Thorsten GrahnYan Wang

Brant DeppaChao−Wen Lu

Vassilios Vasdekis

Peter MeyerFengchun PengDenise BotterSong Chen

Gustavo Santos GarcíaFrank Anbari

Arusharka SenXiaohong Chen

Chris BrienGregory Rozal

Christine Anderson−CookChristian PosseRamesh TripathiP. Anil Kumar

Ahti Niinimaa

Geert Molenberghs

Rivo RakotozafyStella Grosser

Yousceek JeongDaniel ColemanDebra HydornMarlene Müller

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Alejandra CabanaPeter Gieser

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Jen−Fue MaaMark Heise

Kyoungah SeeHolger Drees

Deborah Rumsey

Chi−Hung HsiehJames PooleMark Cowan

David GliddenTai Moon

Sonia CastilloJorge AdroverNorbert YanezBo Jonsson

Georgina BermannChu−Chih Chen

Patricia StyerErnesto Floresroux

Lingshi TanKeming Yu

Faisal AwartaniRenate MeyerCelesta BallHan EomMervi Eerola

Khalid RifiRichard ClearyEric Nordmoe

Christian MussoDarcy MaysZachary StoumbosChunfu Qiu

Carlos Lazaro

David ShapiroKai Sun

Richard Cook

Martin Hazelton

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Janet Sinsheimer

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Justine Ritchie

Dong−Ki KimMartin Beibel

Janez StareRodney Wolff

Francisco Cribari−NetoJudy SyYongseok Sohn

Aparna HuzurbazarJohn Haywood

Huibin YueRainer Dyckerhoff

Aila SärkkäVaijayanti DixitBruce Belanger

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William EplerNicholas Schork

Joe SullivanRamon Durazo−Arvizu

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Stacey Cherny

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Harriet NembhardRiccardo Gatto

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Kani ChenDavid CouperJ. Rao

Alexander SchuesslerAbdelhamid HassairiYiu−Fai Yung

Myongsik Oh

Anna GunsjöMusaed Al−Subhi

Steven GarrenDonguk Kim

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Ho LukGholamreza Jandaghi

Robert OgdenSudha PurohitBani Mallick

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Li Hsu

Stephen LeeN. Unnikrishnan

Mary EmondHong Hu Liu

James Hilden−MiltonJohn Gavin

Jeffrey SolkaAlexander Balke

Shobha PrabhalaJoseph HoganAnders Lindfors

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Donggeon KimHee−Jeong Kang

Garry ChinnGinger GoffShu−Jian ChenWilfredo Palma

Walter Ambrosius

Bruno JedynakZhenming Shun

Isabel ProençaMatthew Mayo

Richard BarkerMedea Meng

Robert JohnsonYong−Cheng Wang

Wolfgang Stolz

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Jacinto Martín JiménezWendy Poston (Martinez)

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Thanavath Phonvichai

Jörgen DahlénAri Hämäläinen

Hong ChangLawrence RiesQi−Yu Zhang

Mohamed BentarziDian Lin Guo

Andrew HolmesKe−Hai Yuan

Li−Sue ChenJean OpsomerDavid Marker

Yao Wang

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Olivier Ledoit

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Michael Daniels

Darren WilkinsonYoung Joo

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Scott BurkMelinda MillerAmrik ShahLinda Collins

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Yanjing WangAparna Anderson

Keng KhooRichard Holubkov

Eleanor EmbersonDing−Geng ChenBeatriz Mendes

John Hinkle

Martin TheusGeorge MichailidisAmy Biesterfeld

Hong (Laura) LuMeekyong Park

Wei Zhu

Charles HallDon FaxonShumei WeiShantha RaoHongwei Li

Claudia BeckerJörg Pawlitschko

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Ching−Kang IngAlexandra KapatouLisa Chiacchierini

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Alex Exuzides

Julie Yee

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Martin McIntosh

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Dongping Fang

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Thomas RichardsonJeffrey CurrieAlvaro FariaMirta BensicHartmut Holz

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Valérie MonbetMary Meyer

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Terri ByczkowskiWenxin Jiang

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Hiroshi Kurata

Luis García−EscuderoOlga Yoshida

Madhuri Kuber

Daniel Nettleton

Gregory AlexanderStefan LauerJian Qing Shi

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Eric RossPhilippe CallierMarc Genton

Alice RichardsonJan Picek

Ela ToscanoJustine Shults

Margaret PoschMichael Frigge

Shuying LiRobert Platt

Elsie ValerosoMitchell Watnik

Raymond SieversPetri KoistinenWan−Ching Liu

Minzhi LiuChih−Yi King

Yu−Chuang HuangMarc Hoffmann

Ulrike GrömpingWeiming Li

Michael Larsen

Louis RadaorosonPantelis Vlachos

George Sebastian

Anthony BissonMark Trede

Jianxin PanSofia Paul

Pedro Luis Silva

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Jeffrey BayClaudia Hagen

Seong KimDavid GallesAilton Vieira

Xia PanKarin Wolf−Ostermann

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Mia HubertSixten LundströmGeoffrey BormanDavid Speights

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Svend Haastrup

Yang ChenFrank Li

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Jeffrey PickaJohan Lyhagen

Fan Yang JonssonYi−Hau Chen

Miguel Angel Miguel AngelFahad Al−AboudSungwook Lee

Christopher MeekS. Ganguli

Judith Rousseau

Ali Gargoum

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Ghislaine GayraudLeonhard HeldKarl Broman

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Peter MorseHongsheng Wu

Russell Alpizar−JaraHerve Cardot

In−Kwon YeoMichal KulichEmilia Bagiella

Michael NannaYijian Huang

Michael BeaghenPatricia KitchinPaolo ZaffaroniCarlos Velasco

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Harry LeungMárcia BrancoMalini Iyenger

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Tze−Man NgXiaorong PanThomas Kastner

Alessandra Micheletti

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Sharon Xiangwen Xie

Gwen TannerJohn Chen

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Paul Bycott

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Oh−Gon ChunDaowen ZhangNora GalambosJussi Klemelä

Hildete PinheiroJames CochranJason OsborneMurali Niverthi

Catherine Anderson

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Frank CastronovaRonald Thomas

Juanjuan Fan

Valentin PatileaKlaus BrachmannYin−Ping Leung

Duncan Temple LangYuk Cheng

Sterling HiltonChristopher Assaid

Andrew HartleySonia Mazzi

David CauseurOmar Assili

Chi−Hse Teng

Torsten HilkerVerena Schultze−PawlitschkoValérie Ventura

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David MannerTimothy Oké

Hidehiko KamiyaChih−Rung Chen

Leslie ElliottSuzanne SommerEva Riccomagno

Matthew StephensJohn Tuhao Chen

Li Ping LiuMarilyn Agin

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Gholam Reza Mohtashami BorzadaranMarie ChaventJesús Rodríguez−RodríguezMatthew WoodGrietje Holtrop

Naser ElkumRoger Bilisoly

Biman ChakrabortyQiuhu Shi

Vivek Ajmani

Shin WangYew−Haur Lee

Yan YanNidhan ChaudhuriDomenico Marinucci

Chih−Chien Yang

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Stefan MattssonPaul FearnheadMey WangKevin McDaidSaeed Golnabi

Samuel WuThomas Augustin

Bernard Cerutti

Hong−Bin FangHelen Clough

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William CadeSai−Hsueh Chang

Chiara SabattiHippolyte FofackKimberly SwygertDario Gasbarra

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Ingrid Van KeilegomJosep Maria Mateo−Sanz

Anil Aranha

Léo Gerville−ReacheColin Ramsay

Jib HuhMark ScarrOlaf Berke

Gebrenegus Ghilagaber

Josu Arteche

Robert RandallDaqing GuoOmar Aguilar

Vincent GouletBrent Shelton

Chang YuChristine DiStefano

Dina SchreinemachersHolger Hebben

Laurent CavalierLászló Viharos

Ying Zhang

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William BrowneJacinte Jean

Christian Gieger

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Yijun ZuoStephen ColeYung−Hsin (Alex) Chien

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Ashwini MathurBrian HabingJinzhong (Jason) Liao

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Kee−Hoon KangGeorgios Pitselis

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Fuqing HuangBenjamin BekeleChangyong Song

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Kari AuranenAmal Mellouk

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Valérie Chavez−DemoulinDmitri Zaykin

Min−Hui Wang

Olivier RenaudSunil MathurAna FlesiaSilvia OjedaQing Shen

Thomas Severin

Jose Vidal−SanzDina MelasHefang Lin

Amy BravermanJustin Tobias

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Philipp SibbertsenLise−Anne Karen Putnam

Ralitza Gueorguieva

Ruben Smith−CayamaC. ReeseMatthew Carlton

Hoon Kim

J. Vandersluis

Nial FrielThierry Duchesne

Xiang Sun

Gary WalkerRieken Venema

Gerda ClaeskensForough Karlberg

Madhuchhanda BhattacharjeeFang Li

Ioannis NtzoufrasYung−Seop LeeSonia HernandezJonas Andersson

Chaunguo (Steve) WangBarbara Chan

Cristina Butucea

Ida RutsJaap Wieringa

Jin−Ting ZhangHoward SeltmanLaura Kubatko

Mouchumi Bhattacharyya

Cherng−Luen LeeAniko Erdey−Gruz

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Matevz BrenVictoria Neagoe

George IliopoulosChan Park

Gail FahoomeDahlia NielsenKerby Shedden

Alex GitelmanKai Wang

Scott KomoAnthony CrisalliMichael ElliottMarco RealeCathal WalshChenting Su

Dimitris Karlis

Friedrich LeischAxel Clausen

María Dolores UrsúaPia Larsen

Elena MartínezShaocheng LiuV. Swaminathan

Franz QuehenbergerMarie Linder

Paul GendronMichael JähnischCharalambos Tsairidis

Lise BellangerAndrew Roddam

Roland AverkampYanyuan Ma

Luiz PeternelliDollena HawkinsArne Kovac

Eugeny PonikarovJoe MusialMichael Wolf−Branigin

Ekkehard GlimmJürgen VoßDaniel Eno

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Michael Eichler

Ibrahim HugariXiao−Sheng Lu

Michael LeeMing−Yi HuBashir Yakasai

Gavin MelvilleTianxi CaiMarty Smith

David Gamble

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David Reineke

John NewellNikolaos Sfikas

Hemangi KulkarniSokbom HanSteven Crunk

David Khabie−ZeitouneBreda Munoz−Hernandez

Hongtu ZhuChanseok ParkBonnie LaFleur

Timothy Ramsay

Alan SaferHsiu−Khuern TangVincent Couallier

Mikko SillanpääDebashis Ghosh

Dnise BentonDavid GorsichSonja KuhntJuanita Lyons

James Gullen

Gregory WarnesJoanne Chia

Tihomir Asparouhov

Yoshihiko NishiyamaWai Ho

Jason BondDavid Elashoff

Galit ShmueliAmparo Baíllo

Epimaco, Jr. CabanlitSathyakama Sandilya

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Manisha DesaiMichal Friesl

Matias Salibian−BarreraDimitris Fouskakis

Long NgoRun−Ze Li

Thomas Bengtsson

Dale UsnerHaritini Tsangari

Dirk Ocker

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Vanessa Didelez

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Rahman FamooshMark Leeds

Euloge KpameganZilvinas Kalinauskas

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Ana Villar

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Jan Parner

Roberto Puch−SolisDanh Nguyen

Robert Noble, Jr.Anja Struyf

Erwin StampferFrédérique Letué

Eric JärpeValentina Misura

Robyn McClellandPeter Hoff

Laurent Ferrara

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Steve HorvathFrederick Strale, Jr.Alessandra Brazzale

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Jun XieLaura PiersolJames Gleaton, Jr.

Nora GürtlerSimon Shaw

Jyoti DevkotaVipul Devas

Adel MohammadpourMinka Jonker

Cameron AlsupAnna Marshall

Grace YiErnesto San MartínStefan Van Aelst

Christophe PouetYontha AthSusan Orbe

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James StameyGudrun FreitagAmy Herring

John Carson, Jr.Adao TrindadeErnst−Jan Wit

Jean−François CoeurjollyCatherine Vermandele

Krista BreithauptColin Lewis

Pieter van GelderArmin Roerhl

Anne−Catherine FavreAgnes Hamon

Kevin RobinsonMattias VillaniHamid Pezeshk

Rahul DodhiaIan Clough

Chau ThachJane Liu

Martin AxelsonShu−Hui YuGary Collins

Kim Hyon−Jung

Alexander IksanovKimberly Maier

George StreftarisJan Svato..Karla Hemming

Christopher HolmesSebastian Domhof

Alex GonzagaJulie Douglas

Bettina KulleAndrej Blejec

Scott Compton

Leonardo FabbroniDavid BashtannykWerner Laumann

Roxana /Roxana IonNicholas EugeneNicolas Locantore

Joseph BeyeneKepher MakambiAlexander Morton

Binbing YuFelicity Moodie

Alexandra Schmidt

Tommi HärkänenFrank KieferRuth KingNadezhda Krasij

Arnak S. DalalyanJacqueline Kiffe

David HendersonRida Moustafa

Amrut ChampaneriFrancisco RojasElena Polverejan

Nina Kajiji

Lei SunEric Chicken

Jacqueline LokVadim KutsyyGuoguang Ma

Nandita Mitra

Gorana CapkunTheodore LystigAlfred Kume

Ricardas KrikstolaitisDanielle Harvey

Anne−Cécile GoderniauxBircan Erbas

Xiaofeng HeKaren AndrewsYahong Peng

Sayan MukherjeePer Gösta Andersson

Zhong Guan

Ye HuaC. NampoothiriTim Friede

M. João MartinsNormen SchenkSteven Stemler

Mårten LöfKarl Siegler

Melissa Dobbie

Cuirong RenAyse UlgenIdris Eckley

Michele DiPietroHoi−Jeong Lim

Rongcai Li

Athanasios MicheasBarry Monk

Dejun Tang

Kathy PetersonFikria Chaouki

Lang LiJonathan TaylorSerge Guillas

Adam Hafdahl

Xiaogang SuXiaoming ShengRong Huang

Aleksandar Dogandzic

Borek Puza

Stefan SchipperZengri WangJi Meng Loh

Gilles BlanchardAgustín Mayo−IscarKatherine A. GuthrieJean−Philippe Vert

Alena FialováPavel Gapeev

Heliton Tavares

Mark GittoesJ. Lockwood

Haiyan HuangDong YuVanja Dukic

Young Ju Suh

Robert CribbieHsun−chih Kuo

Owen ShoemakerNicola ChapmanFaouzi El BantliRukiye DagalpEthan LangeEl Mokhtar Chikhi

Sebastian Paris ScholzTillmann Krahnke

Bryan ScottChandranath PalShu−Pang HuangKarin HalupczokPaul McDonnell

Jukka RantaFridtjof ThomasMark Woolrich

Scarlett Bellamy

Kathleen MorleyJanelle EricksonBernd Schmid

Gong TangLisbeth HanssonChengqing Wu

Karen CrawforthFrançois Brucker

Jean−Michel LoubesHolmes FinchSimon Davies

Huaxin You

Anna ValevaKatherine HuntLeming QuHaihong ZhuXiaohui Luo

Bennett OtienoDylan Small

Reinhard FurrerAlyaa ZahranNiko KacirotiKe−Jian Yan

Hon Keung Tony NgPeng Zhang

Wei PanAndrew SimpsonMichael Greiffenhagen

Earnest Foster

Marcelo MoreiraRafal Kustra

Kristen RydingErnst GlatzerIzumi Kobayashi

Zhengjun Zhang

Susan Gooding

Tristan MassieM. Rahman

Antonio Santos

Mike CheungCecília Azevedo

Esa OllilaCong Han

Parviz NasiriNatalia Bochkina

Jarret Barber

Grace ChiuChiung−Yu Huang

Jong−Min KimHeather CrosbyMyrtille Vivien

Ryan Gill

Xiaoyin WangAngel MartinezEunju Hwang

Jayson WilburChristopher MaloneJames Miller

Matthew FacerRicardo Velazquez

Elizabeth BrownSining ChenPalanikumar Ravindran

Eshetu WondmagegnehuAdrian BarnettChan−Hee JoInyoung Kim

Brenda Kurland

Ilana Belitskaya−LevyMin WuM'Hamed Kadri

Driss Oraichi

Mark Huiskes

Alexander Schacht (birthname Siemer)Messan Amewou−Atisso

Barbara OlbermannLouis MarianoLeo Cheung

Tzu−Ming ChuSamuel Müller

Ilya LipkovichYuchieh Yang

Seok Oh Jeong

Marc CoramIvet PitrunDouglas Schaubel

Evrim OralCali Davis

Miroslav Risti..Herbert ThijsDaniel Assoulin

Moustapha FaiziCanddy Yao

Hassan RezaJ. de Klerk

Yanming Yin

Alan GreenDavy PaindaveineYoung−Sun Lee

Tanya Henneman

Greet PisonGeorgy SofronovShagufta AslamCheolwoo Park

Woojin ChangMichael O'KellyXiaohua Zhang

Kostas Triantafyllopoulos

El Hachmi HammouChristoph NeuhoffKenneth Rice

Gregory CicconettiPingping Ni

Christopher HollomanMatthew Mitchell

Xiao SongJiuzhou Wang

Yuqun LuoYanping Wang

Mohamed SelmouniMarc Suchard

Dana DraghicescuHua Tang

Elizaveta Levina

Alexander de LeonZeynep Kalaylioglu

Michael Black

Irshad ArshadDaniel Stancescu

Peter DenckerConstantinos Petropoulos

Wen−lei LiuMarco FerreiraNaijun Sha

Bo LuMaría LuciniDanqing Cai

Siong Lin HoRui Paulo

Stephen YeungSarah Hartz

Inger Persson

Andrew RieckMing Lei

Manuel Cabral Morais

Christa CarterAndrei Volodin

John Aston

Parminder SinghKatrien Van Driessen

Ursula GarczarekGary GreenfieldHana Jane..kováRuta LevulieneThomas Gerds

Peilin Shi

Thorsten PaulsJake Oleson

Russell SteeleCleide Rodriques

Swagata NandiHalfdan GrageMelanie BellBruno SousaXi ZhouDavid Wilson

Michael EpsteinMi−Ok Kim

Alexia IasonosDavid Weitzenkamp

Tian ZhengEdgardo LorenzoGavin Shaddick

Hong LiangBo Markussen

Esteban FloresZainudin ArsadWen CuiJaroslav Simak

Paul Gift

Christos NakasXiang Gao

Matthew JohnsonWei Wei

Lars Forsberg

Stein LieChirakkal Haridas

Elena LandaburuJorge Picazo

Kristofer JenningsJonathan Marchini

Neil DaleyUlrich Kathöfer

Petr Fran..kCarmen Murillo

Maurille Feudjo−Tepie

Nicolas ChopinXuefeng LiMeredith Tomlinson

Parul Bhargava

Jiawei LiuStephen GanocyHuiping JiangKrista Cohlmia

Ofer HarelPatrick Brown

Richard CharnigoHizir Sofyan

Amy AndersonNa LiChad Scherrer

Monica JacksonJi Zhu

Richard SwartzSaid El Melhaoui

Kosuke Imai

Dazhe Wang

Liang LiKusaya Plungpongpun

Anna OganianSofia Olhede

Arnab LahaDaniela Nitcheva

Margaret ShortYongsung Joo

Young−Ju KimAmy ThoresonSergio Juarez

James McDermottWinfried Theis

Suhwon LeeJeffrey Thompson

Cristiano VarinEdison TitoYu−Yang Lu

Denise DuarteHisayuki Tsukuma

Isabel Cañete

George TsengSunduz KelesHaonan WangCarl ScarrottDebbie HahsRobert Block

Yan Li

Fabio RapalloAntonio TébarGuosheng YinJane MonacoMary Kelley

Rafael GutierrezAbdus Wahed

Stéphane DrayStéphane Molla

Yangjin KimDan Hedlin

Orlando OliveiraSam BehsetaJunfeng Liu

Martin RomeroCassandra ArroyoNingping LiuAjita Gopikrishnan

Weiwei WuXueqin Wang

Pierre Lafaye de MicheauxPiotr FryzlewiczFinn LindgrenCheng Peng

Simona Korenjak−Cerne

Yun Ju SungSolveig Sieberts

Abdessamad SaidiMaria Kocherginsky

Vanessa BeddoAmy Umbach

Gardar JohannessonQi JiangZekarias Berhane

Xiaoyun Zhong

Ryan ElmoreSaikat DebroyDavid Mease

Thomas FenderClaire Jordan

Yufeng LiJustin DavisMartha Nason

Jesus Palomo

Aurore DelaigleRobert McLeodJianbao Chen

Mohamed Hafdi

Pralay Mukhopadhyay

Yonggang ZhaoChuan Zhou

Eun−Ha ChoiGuy Brock

An Jia

Diane MillerMohand FeddagCarlos Cuevas Covarrubias

David WartonMichael CarlsonChristian TallbergJochen EinbeckBastiaan KleijnHorst Jordan

Christian Boudreau

Achim ZeileisTorsten Hothorn

Schmidt RafaelAgus SalimLihong Qi

Shane WhelanRongwei Fu

Cameron ParkerLan Kong

Humberto Gutiérrez−PulidoTianli Zou

Gilbert Shanga

Christian RauChoong Tze Ghua

Veronica Vinciotti

Anja BusseWoncheol Jang

Jung−Ying TzengWenquan Wang

Yu−Jau LinBin Wang

Keun Pyo KimSara TaskinenJeremie Bigot

Pulak GhoshWelfredo Patungan

Enrique ter HorstLynne McArthurSurajit Ray

Andre RuppSébastien Van BellegemSergei PondBlythe DurbinMakram Talih

Liqiang Ni

Jake OlivierBoonorm Chomtee

Philip TurkMayetri GuptaMoon−ho HoHsiao−Yun Huang

Michael Schloegl

Jose Almer Sanqui

David TodemÀngel Torres Aragó

Genming ShiJi−Ping Wang

Helge Langseth

Jennifer BunnerBruce Fay

Karen Lee

Hui XieFabio Nieto Sanchez

Salvador Naya FernándezZhaoling MengMax Louis BuotChun Gun Park

Daniel GillenYazann Romahi

Matthew BealBo Cai

Katherine MasynJohan Lim

Jimmy de la TorreTanya Logvinenko

Xiao YangMurat TestikFernando LucambioChao SimaYuji Tomita

Dong−Yun KimJohn Byrne

Alexei TeterukovskiyGavin McCabe

John HoppinDavid Woods

Katharina CramerSwati Biswas

Talal MaatoukSoyeon AhnBenjamin Cowling

Fernanda FigueiredoPak Kuen Philip Lee

David AnnisEun−Kyung Lee

Aaron ChristM Brookhart

Manisha Sane

Paolo FoschiGerman MolinaAlireza SimchiCasper Albers

Amitabha Bhaumik

Claudia SchmegnerPetronilla Witarsa

Yajun MeiRoger Peng

Catherine CalderLexin Li

Wendy Czika

Matthew KarafaTasha FingerlinJulien TamineEdward BooneSuk Joo Bae

Jun Yan

Jochen GieseLeah Welty

Yee Whye TehJingyuan WangStacey Cofield

Ping MaFang Yao

Rachel Altman

Abu MinhajuddinYves Atchade

Jimmy Doi

Jennifer GauvinDimitrios Bagkavos

Tatsuki KoyamaHakan DemirtasJeff SklarNels Grevstad

Spyros KonstantopoulosJose Carlos de Miranda

Christelle Breuils

Ray−Bing ChenShinsheng Yuan

Hakan SazakShannon AllenMichael Smith

Konstantin TyurinSahar El−Sheneity

Edson MartinezMaciej Rosolowski

Bingshu ChenAnders HolmbergMilan Stehlík

Andrea PetersXuejun Peng

D. Kashid

Voichita Maxim

Tao JiangNing Li

Lilliana FigueroDaniel Fink

Matthew TomYongyi Min

Anil Dhawan

Maria MorAlberto Rodríguez−CasalAle.. Slabý

Shilpa Khare

Concepcion AusinBruno Mendes

Anna LiuJose Guardiola

Bin ChengSusana Eyheramendy

Jason SchroederEric Bair

David Clifford

Cristiano FerrazSandra FreitagAlexander AueRoel Braekers

Na Lu

Solomon HarrarHao Liu

Chung Fai WongMing Yuan

Chenlei LengMilena BanjevicJoshua RichmanDamla SenturkJiameng ZhangIgnacio López de Ullibarri Galparsoro

Victoria Litvinova

Li Li

Samir IraquiGang LiangHo−Jin Lee

Stefan Heilmann

Ke YangJeesun JungAleksey MinDenise Rey

Hawaida RabieGeorge SirbuMaiying KongNiels Hansen

Carsten FranzTorgny Lindström

Francisco Cysneiros

Ruediger KrauseTim Garlipp

Bin HeGuojun Wang

Matthew KilleyaYushan LiuXiao ZhangFabrice Larribe

Nirmal GovindYun Chon

Sonia MinassianViatcheslav Solbakov

Liangang LiuElisa BonviniSamuel Copt

Johanna NeslehovaGert Willems

Ju LiEric HowingtonZachariah Babu

Heng PengYong Cai

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Ahmed AlbatinehRussell Stocker IV

Xichen SunHeping HeYing Wei

Dorin DrigneiJi−Yeon Kim

Jin SzatkiewiczFlorent AutinXiaoling Wu

Hyonggin An

Lei LiuBernd−Wolfgang Igl

Hyoungtae Kim

Hui−Ju TsaiHuizhen Guo

WonSun ChenMark LukensMathias Drton

Catherine CrespiXiaoyan Leng

Marc FredettePatrick Carmack

Stanislaus Uyanto

Gui−Shuang YingThomas Gsponer

Salem ReyenWei−Min ChenBaifang Xing

Andrea JohnsonKamila Zychaluk

Qiang WangKyungduk Ko

Ayca Ozol−GodfreyYanqiong ZhangFangxin Hong

Yihua (Mary) ZhaoElizabeth StuartLiangwei Wang

Marie GantzAbdel−Yazid Djaidja

Debaraj Sen

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Robert GreevySunghee Lee

G. Malgorzata Leyk

Olivia Grigg

Soojin KimTzur KarelitzJonathan Templin

Vasyl GolosnoyXiaohui Wang

John Dobelman

Hesham GadelrabJelani Jabari

Robert MoranGernot Mueller

Sergiy ProkopenkoVolker Schmid

Francois CollinAna Maria Madrigal

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Bernard Omolo

Marlo BrownLibor Ma..í..ek

Tatiyana ApanasovichLihua Wang

Santos Sekirkin

Jonathon SchulerBiao Xing

Leslie CopeClayton Scott

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Veronica Rapley

Jay BartroffFadoua Balabdaoui

Jin XuMatthias Fengler

Kim KohShuangge MaRoss Gosky

Jing Qiu

Newton WaiHuiling Li

Sang−Joon LeeMarc−Olivier Boldi

Jose Carlos Vega−VilcaAiyou Chen

Sandra Pereira

Shuyi ShenJoshua Betcher

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Jonathan Schildcrout

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Richard SamworthChristopher Mehl

Jason LoeppkyAleksandra Slavkovic

Craig WellsMeghan McGlohen

Robert HensonCibele BehrensJanne Kujala

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Pei WangHyunsu Ju

Hyun Kim

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Taras BodnarThomas John

Linda GarsideMartina PavlicovaLuke Prendergast

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Joon Jin SongDavid Dahl

Wenyu Jiang

Sergiy TerentyevYang ChengJosé Chacón

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Harrison ZhouAmir Rahimi

Paul Baxter

Andrei Zenide

Huaiyu XiongDobrin MarchevRima Izem

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Simon UrbanekFiroozeh Haghighi

Michael DonohueElizabeth MalloyMark Greenwood

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Timothy McMurryHamid Ghorbani

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Javier Hualde

Torsten ScholzXiaoling Zhang

Yanmei LiRobert Neher

Lih Jen Lin

Manjunath JoshiYarema Okhrin

Radoslav HarmanMichael MerzJuhyun Park

Wantanee SurapaitoolkornAudrey Helen Cysneiros

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Rituparna SenHaiyan Wang

Henrik BengtssonHongmei Jiang

Cyrille JoutardSamir SafiFrederieke van PerloCélestin Kokonendji

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Ozlem IlkScott Holan

Ignacio Moral ArceDavit Varron

Michael McHenry

Guido SchwarzerWeishi YuanYulin Li

Mario Trottini

Yangang ZhangAmelia HavilandHassan Elsalloukh

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Song ZhangShuxia SunOumar Sy

Ravi VaradhanRyung Kim

Abigail MatthewsJunfeng Sun

Shireen RishmawiAdriano Polpo de Campos

Jung Wook ParkTanzy Love

Xuena WangHaipeng Shen

Cai Xia

Liang WangKyeong Eun Lee

Leena ChoiDeukwoo Kwon

Ping−Shi WuYi−Kuan TsengChristel Bouquiaux

Richard OttBrandon Higgs

Yevgen TymofyeyevJaroslaw Harezlak

Maha RahrouhIsabelle Flückiger

Tereza Neocleous

Michelle DunnSimin Baratpour

Christian SangiorgioSharon Barnett

Suzanne SlocumRobert Gramacy

Liansheng TangCedric Heuchenne

LeAnna StorkDavid BleiRui Feng

Lanju ZhangFrank van der Meulen

Junfeng ShangHui Zhang

Thomas FriedliChristine Kohnen

Alice ZhengXiaozhe (Catherine) Wang

Songmei WuAmanda HeplerValbona Bejleri

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Xiang LingHaiyan Xu

Cheryl Dingus

Liang FangChangku Kang

Christopher Vahl

Nak−Kyeong KimHui ZhiYi Qian

Chrisopher HintzeSounak Chakraborty

Gang LiTe−Ching Chen

Weiming KeEthan AnderesHaitao Zheng

Marinela CapanuPavlina Rumcheva

Sergey TerimaLin MinShiju Zhang

Saonli BasuHanzhe Zheng

Ivan Pacheco−SotoXin Dang

Weihua ZhouYounan Chen

Zhenkui ZhangPeter Parker

Alessandro RinaldoJianbin Fu

Kalevi Nevala

Gisela Tunes da Silva

Isabella GhementOlha Bodnar

Thomas GwiseNiel Hens

Anders ErikssonCaio Coelho

Breedette Hayes

Célia NunesXiaobin YuanZsolt Talata

Muhammad AkramHong Wong

Ralph Hoegn

Xiaohu ZhangShojaeddin Chenouri

Marco GeraciJean−François Robineau

Ehab And−ElfattahSusanne Ditlevsen

Howard Bondell

Hyunyoung ChoiKarlien Vanden Branden

Gareth RidallJing Han

Hamzeh Torabi

Roger HalldinJing HuSongjoon Baek

Hensiong TanJihnhee YuYongtao Guan

Ruojia LiTing−Li Chen

Xiaohong HuangRong Yang

Raghubhushan Pasupathy

Stanislav KolenikovAbhyuday Mandal

Yasmin SaidYun Joo Yoo

Ingileif HallgrimsdottirJeffrey Spence

Michael SwartzJuhee SongDoyle Boese

Qi XiaKeith Schumann

Reid LandesLimin Peng

Seongho Song

Matthias KohlShu Han

Matthew GregasChris Hans

Maria Silvia MouraLiPing Chu

Sinjini MitraNicoleta SerbanJack Hill, Jr.Simon Aman

Veerabhadran BaladandayuthapaniZhongfa ZhangFrancisco Vera

Jing CaoAnders Malmberg

Xinyi XuVolkan Cevher

He HuLiuxia Wang

Ehab Abd El−Fattah

Billy FranksMichael Shnaidman

Jinfeng Xu

Cory Heilmann

Xiang GuoYifan Huang

Sanggohn HanTae−Young Heo

Ming ZhaoHui Zou

Jingyang LiChangyi Park

Timothy Thornton

Haiming GuoRu ChenSanjay Chaudhuri

Heiko BailerXiao WangJingran Sun

Alejandro MunozZheng Su

José RomeoHsin−Ju HsiehJorge Bazan

Carlos Abanto

Milovan Krnjaji..Billy Amzal

Wei−Liang LiJose Andrade

Rinku SutradharGeorgios Stefanou

Chengan LiuChulmin Kim

Honghua Jiang

Axel Gandy

Lu ChenBrian ReichAlexandra Piryatinska

Sreenivas KondaPeng Zeng

Xuerong WenM Cristina Miranda

Igor MelnykovCengiz Belentepe

Menggang YuAmy MaddoxYoonjung Lee

Quan HongYu Tai

Jun HanAli Khoujmane

Ming−Chih KaoXiaoping JinHui WangXin Yan

Tao WangYuyan Duan

Ron YuJian YuHsiao−Hui Tsou

Shaoli Wang

Michael PosnerJean−François Quessy

Jesse FreyShibao Feng

Sun Jung KangQiong WangJorge de la Vega Gongora

Wei WuKatherine Tranbarger

Hongyup AhnLisa Denogean

Adam Branscum

Irene Klugkist

Ofelia MarinRoss McDonaldJose Luis Batun Cutz

Damaris Santana MorantYolanda Munoz Maldonado

Fanesca YoungFlorian Rueck

Lan XueKyusang YuYannis Jemiai

Nicolai MeinshausenJean−Benoit Hardouin

Kyle CaudleFrancis Bach

Yuanjia WangJohn Paul GoslingRebecca Buchanan

Lilli JapecTimothy Miller

Xianhong XieTao DuanMichael Falta

Klaus HechenbichlerRobert Parody

Ming Liao

Curtis StorlieCharalampos PapachristouRoxana Alexandridis

Lihua ChenQing Kang

Zhigang ZhouKwangmi Ahn

Myung Suk KimEric Hintze

Yun WangDora Genethliou

Ko−Jen TsaiDavid Bradshaw

Astrid Heard

Yunfan DengMohammad ZainalMikyoung Jun

Yu−Min HuangJae Keun YooMingjin Yan

Penelope Eisenbies

Irwin JoppsPei−Hua ChenMadhab KhojuAli Alshabani

Xu YanPrzemyslaw Sliwa

Leilei ZengSabyasachi Bhattacharya

Hoa NguyenSri Nurdiati

Peter SalzmanMats Kvarnström

Michel SilvaNathan Green

Seoung Bum KimSévérien NkurunzizaAlain DesgagnéMukund Gadre

Mi−Ja WooRuixue LiuYi (Derek) Ye

Rong Zou

Tony ChungAlexandros Gryparis

Xiaofeng WangElvan Ceyhan

Huajun YeGregory Yothers

Linxu LiuMihails LevinsMarsha Young

Chunfang Jin

Amylou DueckShuhong Zhao

Kenneth GanningFairouz Makhlouf

Anne−Laure BoulesteixApratim Guha

Gopika GoswamiFei Ji

Cheongeun OhDavid Kitska

Harshavardhana RaoYang Song

Chandramouliswar VenkataramaniTiejun Tong

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Li Liang

Francisco ChamúArndt LaemmerzahlMaria Caterina Bramati

Zhilong YuanChun Han

Earl Lawrence

Keshav JagannathanNathan Tintle

Michaela Gelin

James DegnanEun Noh

Jianhui Zhou

Deepak Mav

Juan Carlos Pardo−FernandezGert LanckrietJon McAuliffe

Yunming MuAndré Tscheschel

Fenghai Duan

Paul DutyLuohua JiangAlexandre Lambert

Mingyao LiYi LuYuehua CuiHaolan LuJanqi Yu

Andreas BergLi−Jung Liang

Young−Ku ChoiSuzanne Szwarc

Andreas WünscheAmal Helu

Detlef SteuerJuned Siddique

Gabriela DamilanoHae−Ryoung Song

Jin−Ok KimWeihua Huang

Tianwei YuAlina Matei

María Jácome Pumar

Manuela BuzoianuMahtab Munshi

Qianqiu LiGuozhi Gao

John KeighleyDongmei Zhai

Curtis MillerSujung ChoiHaobo Ren

Bradford JohnsonZhongming Huang

Fanhui KongJennifer Hu

Maoxia ZhengSoonil Kwon

Jiacheng YuanYing Zhao

Huajiang LiHyuna Yang

William StewartLing XuWei YueMin Chen

Peter EnderTae−Kyoung Yang

Mahbub Latif

Taeryon ChoiAstrid Ruck

Farinaz KoushanfarSimon Jones

Chih−Chien TsaiYaqian Guo

Dobromir Tzotchev

Do Hwan ParkRolando De la Cruz

John StevensXinqun Yan

Hai XuKlára Horni..ová

Laura CowenTimothy Waterhouse

Hae Kyung Im

Olga YeeJulie PeyreChao Chen

Erik TalensStanislav Katina

Wenxuan Zhong

Ajay JasraTomá.. MarekConstantinos Kallis

Tamuna KavtaradzeJie Yang

Xiaojian XuAdaikalavan Ramasamy

Airlane AlencarJonathan Weinberg

J. DonovanLeah Jager

Mohamed SaidaneFabrizio Durante

Yixin FangNorma Leyva

Udo SchwingenschlöglWei Ning

Hormuzd Katki

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Carlos CarvalhoYan Yang

Keyi WangYishi Wang

Richard Umstätter

Peter LundquistPanu Erästö

Irina OstrovnayaSandra SinisiJohn Carew

Benjamin RedelingsFan Lu

Jason ConnorRoman LutzMarcelo Cirillo

Younis FathyJunhui Wang

Christian Conrad

Honghong ZhouErica Moodie

Thomas JakiDavid Chua

Wei LinXi ZhangYu Liang

Cynthia CooperIvan Zorych

Lianbo YuJuan Du

Xiaobai LiJong Soo Lee

Kyong Ryun Kim

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Li DengMeichun (Michelle) Ding

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Pamela Smith

Dong WangRalph Silva

Susan AlberNema Dean

Arthur CharpentierJason Legg

Evgenia RubinshteinPai−Ling Li

Boris Lorenc

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Rui SongMelissa Ziegler

Yan ZhengLan LanXiao Ni

Soyoung HaJames Gear

Giuseppe DiCesareArindam RoyChoudhury

Dário FerreiraStefan Etschberger

Mevin HootenSusanne Gschloessl

Heather BushChong Wang

Hao ZhouCaterina May

Jing YiDanas Zuokas

Rebecca WootenElena Buzaianu

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Hassania Hamzaoui

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Rodrigo DrummondBo Li

Weining ZhouGuan Xing

Vladimir OstrovskiTianyue Zhou

Hyejin ShinAngelika RohdeGuang Cheng

Haijun MaVincent AgbotoSherwin Toribio

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Mihaela PaunMichele Fatal−Weber

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Adriana BruscatoElizabeth HansenRohit Kulkarni

Akarin Phaibulpanich

Liansheng ZhuFeng LiuTatiana Tatarinova

Yan HeYumao Lu

Michal Benko

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Joseph Lucas

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Amy FengMelissa SpannMavis Pararai

Chong TuRaymond Webster

Baokun LiXiuyu (Julie) CongXian ZhouLudmyla Rekeda

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Shuwen WangWillis JensenPaul Scheet

Shabnam Modarres−MousaviChing−Ti LiuXiaoyi Gao

Sankar Bokka

Taeyoung ParkMarcela SvarcSteph Keeton

Qing ZhouCongrong Lou

Yihao Deng

Darrin LewisMartina Bremer

Vittorio Addona

Yanxing ZhaoDavid Jacho−Chávez

Zoe OemckeNicklas Korsell

Ulla RomildRonny VallejosClaudia Neves

Sumihiro SuzukiJingsi XiaDan MerlJeffrey MiecznikowskiWei Liu

Tai−Tsang Chen

Elizabeth PurdomXiaofeng Shao

Chao ZhuRosy Luo

Pierre−Jerome BergeronArno..t KomárekMatthew Schipper

Xiaoni LiuPamela Shaw

Gheorghe LutaRichard Bourgon

Leila AmorimMin LiHendrik Kläver

Eva Ribarits, nee HamannChristopher Saunders

Tina Marquardt

Jiguo CaoVioletta DallaArezou Rad

Feng−shou KoTanweer Shapla

Balaji Srinivasan

Alejandro VeenJeffrey BakalAnna Chernobai

Nan ZhangRémi Lopez

Anna Tchirina

Samuel DoloMarloes MaathuisAndrew TiermanPatricia PelavinBoris Shulkin

Siuli Mukhopadhyay

Peng ZhaoTao Liu

Aimin FengRaquel GranellFotios KokkotosAdam TashmanFabrizio Iacone

Wen Ye

Laver GagrandeKlaus JungLovely Goyal

Minjung KyungAshwin Sarma

Alex RojasJorge Caiado

Pawel LasieckiVictoria StoddenMei−Fang Kao

Jiang LiYa JinKary MyersSinae Kim

Terrence Hui

Jouni KermanJun (Jason) Duan

Gangqiang XiaKonstantin GartvigVicente Monleon

Mansik ParkQing Ye

Ginger DavisXiuping Liu

Heejong SungSeungtai Yoon

Krzysztof Rudnicki

Lifeng WangYanping Wu

Wenting WuSauwanit RatanaruamkarnRebecca Scherzer

Lulu RenLianming WangJing Xu

Norou DiawaraLuis Grilo

Philippe RigolletTaehoon Kang

Xiaodong LiYuanyuan Liang

Karthinathan ThangaveluTuanfeng Zhang

Jesús RíosChunyao FengJiangang Fang

Andreas Karlsson

Christophe OsinskiKirsten DoehlerAndrew Mroch

David Wheeler

June June Luo

Soumik PalLeanna House

Muhammad Arif HussainJulius Dasah

Yun ChenLudger Evers

Siegfried HörmannYun Zhou

Deirdre O'BrienXuelei Ni

Luiza BadinZhen Pang

Yu−Ling TsaiJames Delaney

Leif BoysenDhanuja Kasturiratna

Rebecca NugentAlena ..erníková

Majid SarmadPavel Ranocha

Yehua Li

Jenn−Hwai YangArmin Schwartzman

Reuben MuchemedziPeggy Cénac

Md. UddinAdeniyi Adewale

Uwe LiggesThomas Kneib

Alena OettingJuliane Schäfer

Guohui LiuPitipanage Fernando

Kathe Bjork

Adel Fatemi

Kaspar RufibachClara Kim

Joseph Kosler

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John DziakSamiran GhoshAnanda Manage

Bernardo TuraJohn McBride

Jimin DingXiaoqian SunBerthold HaagMarina KnightDenise Chang

Etienne RoquainJing Cheng

Jolanta JarnickaWeijie Cai

Douglas NoeHuixia (Judy) Wang

Kevin Lawson

Daniel TancrediJanser PereiraHyeyoung LeeMichael Crotty

Mingxin WuAbdelelah Mostafa

Lin LiuStephen Erickson

Azeem ShaikhStepana LazarovaGentry White

Han WuBrooke BuckleyYuping Wu

Daqing ZhangXia Xu

Yurong WangSijin Liu

Zhengzhi XiaZhaoxia Yu

Bo PengXin FangChristine Kelley

Yichao Wu

Landon SegoXin Zhong

Tisha Hooks

Nibedita BandyopadhyayMarc VandemeulebroeckeQingzhao Yu

Bin LiMarcelo Espinoza

Yu ChengRongchun Zhu

Yanwei ZhangRhonda DeCook

Justin RecknorAli DolatiAlan Dabney

Freda CoonerYi He

Kangxia Gu

Pushpal MukhopadhyayZhiwu Yan

Patricia CarlinArafat Tayeb

Roman KozhanWeimin ZhangAndrew Finley

Liang Liu

Byron EllisJeongyoun AhnSilvia Bacci

Felipe OsorioDeepayan SarkarXianzheng HuangMd. Khairul Islam

Yuhong (Casper) WuNusrat JahanClaudia Kirch

Joel PreddSamu Mäntyniemi

Yue Wang

Felix MüsgensChiara Gigliarano

Radostina KostadinovaHélène Boistard

Guy BrysHongjuan Liu

Jialiang Li

Lahmi Lakhal ChaiebPeter Qian

C. YoungIryna Lobach

Angelika Danekyanz

Jean−Philippe Boucher

Xiaojing LuInês SousaJuan Vivar

Adelmo BertoldeIsobel GormleyArturo Erdely

Jorge Barrientos Marin

Jimmy OlssonMark Lancaster

Yue Jia

Mark CulpLi Wang

Steven LewisRoland Deutsch

J. Slaughter

Christopher BrignellKim Evans

Kelly HandleyYingying Fan

Jinchi LvAmir PayandehRui Alberto

Thomas Lepage

Katarzyna LasakAngela Hugeback

Zhe ZhangEsther Salazar

Ana−Maria StaicuValerie Hyde

Malcolm BinnsSylvain Arlot

Linda HartmanRebecca HubbardAbdul Aziz HayatAnouar El Ghouch

Roy SaboRoberto Casarin

Biliana Bagasheva

Taras ZabolotskyyJessica YoungPrithwijit De

Riyan ChengLingling HanMinggen LuTracy Morris

Di An

Nyssen Penaloza Husam Bayoud

Xuxin LiuMyung Lee

Debashis MondalYi Huang

Sonja GrevenWenyi Wang

Paulo ParenteConstanze WagnerJason Nielsen

Kenneth Shirley

Yun LuPatrícia Espinheira

Scotland LemanHao Song

Sibabrata BanerjeeE. Ranganai

Matt HershNilupa Gunaratna

Wei SunZhangsheng Yu

Manhua ChenLigia Mateiu

Seth TribbleSonia Griche

Constanze Lütkebohmert−MarhenkeJuvêncio NobreDongming Jiang

Xindong ZhaoAlfred MbahGongfu Zhou

Jorge González Burgos

Umberto PicchiniJan Pude..ko

Wei Wang

Maja Pohar

Martin BetinecMarco Cattaneo

Nacho RozadoOlivier WintenbergerMatthew Schofield

Anita van der KooijSalim BouzebdaVladimir Minin

Michael VockTansu KucukoncuShubhabrata Mukherjee

Baptiste FournierJulia Sharp

Litong ZhangAntara Majumdar

Md UllahRainer Opgen−Rhein

Derek Young

Mihai GiurcanuChen Ji

Thomas SchmelterAli Arab

Zhen Zhang

Irène GannazTana BridgeReza ZiaeeFeng Guo

Wonkuk KimJiao Yang

Guanhua LuJennifer Lloyd

Klas BogsjöKhalid Ohmiti

Yan LanMohamed Faouzi

Kobi Abayomi

Natalie ShlomoWeiya Zhang

Clayton BarkerVeronica Berrocal

Philip MokveldAnna McGlothlinNaohisa Kaneda

Dunlei Cheng

Chad BhattiKyunga KimShanhong Guan

Kejia ShanJames Dai

Yu WuDaniela Gumprecht

Sara CrawfordHongkai Ji

Jayesh SrivastavaSourav Santra

Pengfei LiXiaoxi Zhang

Ani ManichaikulHuilin Li

Xu (Sunny) WangDi Li

Jacqueline WroughtonCandace MetoyerJean−Francois Plante

Huichao Chen

Milena CuellarDaniel Briand

Yonghai LiRitwik Sinha

Ricardo CovasWeiling Deng

Srinivas MaloorHongxin Lai

Hyung−Tae Ha

Arthur BergZhengxiao Wu

Karen CranstonStephan HaugAurelie LozanoHong Cheng Li

Florence GeorgeHugo Maruri−Aguilar

Edward BeinXuesong Yu

Sangwook KangEllis Ott

Hadas MoshonovAristidis K. Nikoloulopoulos

Yanbing ZhengKarim Anaya−Izquierdo

Yan YanwenGeorge ChangSusanne Heim

Georgios PapageorgiouJohannes Hofrichter

Filipe MarquesGuoxin ZuoQian Tong

Devindri Perera

Brandie WagnerNirian Martin

Andrea BergesioKimberly Love

Myriam VimondMatthieu VignesMariëlle Linting

Anders Björkström

Armando Teixeira−Pinto

John CuzzocreaDavid FluhartyMarcelo Ferraz

Chen Ruan

Michal CzajkowskiErik Brodin

Sumona Mondal

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Haiyan Bai

Victor PanaretosJoseph Kim

Ke YanJianzhu Li

Anton WestveldArindam Chatterjee

Zugui ZhangJuan RuilovaJulie FormanJingjing Ye

Robert KraftySisi Kapp

Yanping XiaJohan Svensson

Rhonda VanDykeHua GuoXiangfeng Wu

Yue ZhangZhenhuan Cui

Byungtae SeoMelanie AutinAnand Patil

Tirthankar DasguptaSonya HeltshePritam Ranjan

Yang Wang

Weixin YaoAnupap Somboonsavatdee

Assaf OronElo Leung

Latonya GarnerZhenqiang Lu

Ye SunChia−Chun WuSourish Saha

Abel RodriguezYeming MaDezhong Wang

Xin HeMi Hyun LeeYoujuan LiJoonki Noh

Matthew HardingNivedita NadkarniFlorencia Leonardi

Qi ZhangGuillaume Lecue

Mark HeilerLili YuHongmei Yang

Linda Wänström

Guangyu ZhangGail HuttonErik Wallgren

Yimeng LuBethany WhiteRongning Wu

Steffi HöseStuart Bailey

Joseph BoyerSanghan Lee

Talithia WilliamsM.D. Jankowitz

Jen−Hwa ChuFei Lu

Ya−Ching HsiehMikhail Langovoy

Jichang DuJin−Hong ParkHui TangLian Liu

Vladica Stojanovi..Eid Mohammed Al−Eid

Shu−Ying YehKartikeya Ghia

Euijung RyuRonglai Shen

Raghu RajJaakko NevalainenNikolaus Haselgruber

Vandana MukhiAli Atashgah

David CampbellAna−Maria IosifMahmoud Torabi

Yan Lu

Nalayini SothinathanEbenezer OkyerePrzemyslaw Biecek

Wayan SomayasaHaige ShenJames DartnallWenge Guo

Jurgita TurkuvieneDamien François

Azra KurbasicRong Tang

Heng LianSubhashish ChakravartyOleksandr Sverdlov

Kai Detlefsen

G. Niklas NorénDelphine CassartPaul McNicholas

Sara LarssonCathy Poliak

Santosh SrivastavaYoungju Pak

Joon Sang LeeBrit Turnbull

Fei LiuJohn KairallaRuvie Lou Maria Martinez

Rohan SadlerJingyun Yang

Lingsong ZhangYang Yang

XuanLong Nguyen

Jeffrey LeekIliana Ignatova

Shanley ChongRobin Wellmann

Thomas HotzYu MiaoQian Shi

Donatello TelescaAbeer MadboulyDeniz Yenigun

Qinying HeYuping Dong

Li WeiDavid Beaudoin

Shufang Liu

Ostap OkhrinLei Jin

Archan BhattacharyaRajat Mukherjee

Scott LeschSatkartar KinneyGareth Hughes

Joanna Jarosz−NowakQing Pan

Stephen Lehrke

Bing HanGurjeet Singh

Wenyun LiChan Zeng

Rebecca McNeilAnna Hermansson

Heng LiuJaydip MukhopadhyayMarco Avarucci

Mathieu Rosenbaum

Waseem AlnosaierCalandra Tate MooreElisa Molanes López

William CoarNata..a Kej..arChae Young Lim

Miguel FonsecaWilliam Pepe

Kyle RudserHuaping Wang

Hongfei Li

Ingrid RicardEdward Sun

Yongwu ShaoSébastien Da Veiga

Romain Thibaux

Maya PetersenOliver Bembom

Johnny Li

Lu May ChiangEmma Tan

Yanchun BaoPeter Kosater

Michael Joner, Jr.Christopher Smith

Jiying LiuSeija Sirkiä

Gulfam SiddiquiHafida Guerbyenne

Dexter CahoyTatyana Krivobokova

Jamie WielandHolger Schwender

Sibylle SturtzChunpeng Fan

Theodore KypraiosMahdi DoostparastPatrícia Martinková

Chi Tim Ng

Hadi Jabbari NooghabiChristian Röver

Imen KammounPavel Van....ek

Christoph Schürmann

Laura TaylorBranko Miladinovic

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Jonathan NortonAshton de Silva

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Daniel BruceLei Shu

Elizabeth Hohman

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Samsiddhi Bhattacharjee

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Junhee Han

Martin FuchsWenying Huang

Marie−Pierre Sylvestre

Ying HungWei ZhangFeng Tai

Marcelo RuizDavid TolussoWillem KruijerZhongxin Ni

Rahel StichtenothEvgeny Zoldin

David LewinNatesh PillaiXuelian Wei

Yijing Shen

Zhi OuyangTony Jinguang Li

Jie Peng

Saraswata ChaudhuriLingling An

Aïcha Bareche

Chung ChangHadley Wickham

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Roberto San MartínYiyuan SheNader Fallah

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Joanna ScottArnab Bhattacharjee

Xiaolin Fan

Yanting Li

Xianlin MaSerena Chan

Guillaume AllainJosé Ferraz

Laurent DelsolJoshua Goodman

Shuang Liu

Dan LiLuis Castro

Jinnan LiuSamprit Banerjee

Ingeborg WaernbaumAmy Wagaman

Lei Shi

Abhishek BhattacharyaPrasenjit ShilGuodong Hui

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David Goodwin

Xueliang PanYing Hao

Jingyuan Zhao

Jessica Franzén

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Sarra HeddenJill Dever

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Alan Huebner

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Sonia MalefakiEmmanuel AbatihVéronique Boisson

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Lin ChenJing (Jenny) Zhang

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Ching−Ray YuHui Chen

Maik BerchtoldYi Wang

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Jun Hyeok HwangVivekananda RoyHalis Sak

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Omar KittanehYaomin XuSu−Yeon Kim

Daniel LewandowskiLea TriebschDaniel Bailey

James McGreeEmily ChanGladys SalcedoAmílcar Oliveira

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Jaesik JeongArmando Hoare

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Jennifer HuckettJun Ye

Min ZhangMohammed ShakhatrehYun Li

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Chien−Wei ChenLeontine Alkema

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John ArthurFentaw Abegaz

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Melanie Schienle

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Antonio Villanueva−MoralesSuhong ZhangSourish DasTina Dube

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David AndersonYonggang Yao

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John ScottHugh CrewsYanqing Yi

Richard EverittWeiliang Shi

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Payal ShahChen MengDavid Fardo

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Steven CurtisAna DinizDaniel Ziggel

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Jason BrinkleyChristian Höhenrieder

Peng ChenFanglong DongChia−Yi Chiu

Leonardo TrujilloXiaoli GaoBernadetta Tarigan

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Min Hee SeoJadran Dobric

Tao SunSangho Yoon

Kristi KuljusOliver GrotheCécile Louchet

Liang ZhuChristiane ZinnerSumaia Latif

Feng−Chang LinWilliam FehlmanJason Wilson

Martin SchindlerDario NappaLubo.. PrchalAnne Krampe

Alexander KulikovSong Wu

Paramita SahaJessica KubruslyPatricia Menéndez Galván

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James Goldstein

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Uwe ZiegenhagenPatrick Jahn

Hoh Suk NohJonathan Beezley

Ping Yu

Eugen UrsuYaakov Malinovsky

Deniz Akdemir

Seokho LeeChristoph RotheHolger Hoefling

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James ScottPaulo Ramos

Hao Wang

Yihua JiangFrank YoonPatrick BrehenyKatrin Roth

Ramon GarciaBart BuringtonJuan Liu

Vincent VuElizabeth Johnson

Saikat Saha

Silvia LiveraniErik BloomquistMaría FasanoPaul Kidwell

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Simon Lunagomez

Ying Zhu

Julian WolfsonAlex WebbSheela Nair

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Naima Shifa

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William MorphetJeremy Gorelick

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Yan Zhou

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Hong LiBenmei Liu

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Qiang Pu

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James BullardYing Ding

Hanan Ahmad

Bo KaiFeiyi Jia

Michalis KolossiatisDaniel Samarov

Xia WangGuixian Lin

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Peng LiuChristian IvahaYiyun Zhang

Sai NudurupatiYan Jin

Andrew ThomasEvelin DumbachCláudia Roçada

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Hyunsoon Cho

Rong Liu

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Juan JiaF. Berenice Baez−Revueltas

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Björn BornkampVahid Partovi Nia

Karen LambPapia Sultana

Jaejik KimGuillaume ObozinskiRui Shen

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Jiangtao LuoMartin Kapl

Thomas FisherAnnabelle KehlTim Bancroft

Lalita DasDaniel Rubin

Sandrah EckelRobert Hable

Rebecca AndridgeAixin Tan

Qixuan ChenChangown Lim

Chris JewellLifang ZhangBryan Howie

Wanling TaiAriana Anderson

Yanming DiPaige RandallAnna SimoniCarl DiCasoliQiang GuoJianxin Yin

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Yurii Kuznetsov

Jaqueline GuarteAmy Vaughan

Gunnar Hellmund Laier

Ruixin GuoFrank Schaarschmidt

Frank KonietschkeSascha Feth

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Feras Mahmood Batah

Nikolay BalovNikita Tuzov

Ying LuFeng HongDan BrawnMengye Guo

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Victoria MontgomeryJoakim EkströmDenise Reeves

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Chunlin FanDavid TungCecilia CottonJingjing Zhang

Gen NowakChongzhi Di

Eduardo Montoya

Jian ZouBenjamin ShabyMisty Hein

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Patrick PerryRashi GuptaMustafa Naif

Xin Wang

Maher KachourInês SequeiraSandy Taylor

Joe KoopmeinersYan Huo

JonDavid SparksAlexander Bade

Omar BdairXuan Chen

David SchumannTim VerdonckMichael Höhle

Tingting Gou

Debbie LeaderDavid King

Irmingard EderChenxin LiJing Qian

Ben O'NeillDoychin Boyadzhiev

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Hua YuAlicia JohnsonXiaowei Wang

Stephen Stanislav

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Ross Campbell

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Dana TudorascuRoslinazairimah Zakaria

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Ju Youn Bae

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Jiaqi ChenMiguel de Carvalho

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Angelo ElmiWilliam Neely

Chunlin JiQian Zhou

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Bin ZhangDianne Bautista

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Haydar DemirhanSahar Hosseinian

Yin Chen

Zhen WangMinhui Paik

Ben Parker

Lu LuRichard Hoberg

Yen−Yi HoLaila PoissonSungsu KimKlaus Böcker

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Yang ZhaoXuanyao He

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Federico CruduAntonia Zapf

Karim OualkachaAleksey Polunchenko

Chin−I ChengThomas LotzeO'Neil Lynch

Lu WangLu−Hung Chen

Jun DingNizar AlsufiAmin Zollanvari

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Dong ChenMichael Finegold

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Daniel PagendamIrma Hernandez MagallanesRobin MoggMihye Ahn

Jianping SunMark Sasamoto

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Jelena BojarovaSule Sahin

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Chun−Hua HsiaoZongming MaHongxia Yang

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Michelle Quinlan

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Eduardo Lacap, Jr.

Kyeongmi CheonHonglian Zhang

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Randall R. RojasGordana DeradoSorawoot Srisuma

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Jian LiMa Criselda Toto

Jacob GagnonAuguste Gaddah

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Suad Alhihi

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Darryl Penenberg

Yin LinYu−Hui ChangDaniel VogelSean Brummel

Andreas Artemiou

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Robin RyderShuang Wu

Ho Seok MoonHongjiang GaoJared SchuetterDaniela WittenHongjian ZhuTianyi Zhang

Anneleen VerhasseltTsui−Ling ChenArseni Seregin

Dan Wang

Jean SandersonTarek Zari

Yueqin ZhaoChun Yin Yip

Roberto RiveraYaling Yin

Blakeley McShaneJonas Ströjby

Mohammed GholamrezaeeJohan Sandberg

Thuy Trang NguyenJohanna ZiegelSebastian KiwittHaneef Anver

Carmen TekweYu−Cheng Ku

Zhi HeJi−Yeon Yang

Mallikarjuna RettigantiIulian Ilies

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Ya XuVictoria Plamadeala

Justin Dyer

Piotr ZwiernikGabriel AbreuMarco Carone

Rui Tang

Yanyan WuPaichuan Chen

Hayley Jones

Xinyan ZhangDewi RahardjaHyejung Moon

Andrea RieblerRose Saint Fleur

Ori Stitelman

Joseph Salmon

Thomas FuchsChaofeng KouMukhtar Salah

Ying GuoJeffrey Pettyjohn

Zhenyu LiuRobertas Gabrys

Yan Shen

Zhiliang MaLong Qu

Matt JansElizabeth McClellan

Scott SchwartzCrispin Mutshinda

Kion KimTzu−Lin Hsu

Abhijit MandalDongli ZhouBen Haaland

Jing Lei

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Rafael IzbickiLori Hoffman

June−Nan HsiehStephen Bush

Jiawei Wei

David HillerLaura Villanova

Arno FritschQiongxia Song

Xu ChengKe Yu

Xiwen MaSoutir BandyopadhyayRyan Hafen

Xiaoming Gao

Avishek MallickSaman Muthukumarana

Matthew SperrinMehrdad Niaparast

Meesook Lee

Yeasmin KhandakarXianlong WangMartin Wersing

Yang FengAndrea Krajina

Xin Zhao

Kathryn SharpeDerek Cyr

Weiming ZhangLisbeth Carstensen

Gun Ho JangJohn Seaman, IIITuan Nguyen

Yuqing TangKristen FeherBrian Hobbs

Habib JafariJudy Li

Michael James MasonHao Wu

Aric LaBarrLulu Kang

Yong ChenAdrian Groves

Xingye QiaoStephanie Wren

Angelica Hernandez−QuinteroIlaria Prosdocimi

Wanting ZhaoAlexandra A. BabenkoAndre Williams

Rebecca BakerElizabeth KolodziejPerla Edith Reyes

Kun LiangThomas BerningSeo Young Park

Christophe LeyArabin Dey

Lili Ding

Sylvie TchumtchouaShalinee Teke

Qing LiYuhua SuMin Qin

Christina Schäfer

Mareike KohlmannWu ZhouNenad Suvak

Sandra GaißerGengxin LiXiaoqin Xiong

Daniel GillisHaojie Yan

Brian HartmanGeorgios Karagiannis

Chao HuangXian Yu

Yinan HuangMario Parente

Argyn KuketayevJosiane TeixeiraYuan Liao

Gang ShenErich HuangKristian Lum

Theodoros TsagarisTaniya Mandal

Eliud Silva

Bénédicte MadonJang Choi

Katrina MorrowChristoph LeitnerAlexandros Karatzoglu

Masoud NasariA. Johannes Schmidt−Hieber

Lingyan Ruan

Soo−Hyun Kim

Damian WandlerXavier Jean Maurice Le Faucheur

Saijuan ZhangThi Thu Huong Hoang

Ying ZhouBradley LuenJi Young KimJustin Gross

Stephan Van Der VeekenAlexandre Patriota

Ya−Hui HsuFrances Dolley

Francesco StingoColleen KenneyElif Acar

Alicia Nieto−ReyesOlli Saarela

Eun Young LimVictor Vazquez Guevara

Demetris LamnisosQi Tang

Francisco CarvalhoStanislav VolgushevZhiyuan Dong

Benjamin HallSandeep MenonGeorg Mainik

Markus SchulzVincent Mao

Michael CraneMary Ann Morgan−CoxAndrei Bejan

Han Shang

Jason GoldstickVinzenz Erhardt

Li SongPiper Farrell−Singleton

Naventhan MahadevanZhenyu Yang

Ani Eloyan

Emanuele MazzolaGong ChenNezar Bennala

Susann Stjernqvist

Yulia MarchenkoSeung HyunNicolas Städler

Tahani MaturiJianping Zhang

Weiguo CaiJames Dean Santos, Jr.

Xiaoyan WangZhewen Fan

Fang ChangKazuhiko Shinki

Zdravko BotevQiuzi Wen

Catherine TuglusRaul Aguilar SchallEric Polley

Siti Tolos

Yeojin ChungJennifer GrossmanSaptarshi Guha

Hani KabajahInga Masiulaityt..

Yi ZhongMing HuOmkar Muralidharan

Burcu EkeHuijing JiangHaiyun ZhangRejane Rocha

David Friendenberg

Maarit LaaksonenTing Yang

Yolanda Hagar HagarVasily ZubovMurat Ahmed

Tatiana Polushina

Paul NguyenLijing Xu

Sharada ModurSangbum Choi

Xin Chen

Dan LiaoDenise EarleCibele RussoMichal Pe..ta

Rémi ServienAbigail ShobenCandace BerrettAudrey Finkler

Derek SondereggerKichun Lee

Thomas BirknerCorinna Auer

Alvaro Nosedal−SanchezSaeid Amiri

Xiaojing WangHao Luo

Michael SonksenLéon−Charles Tranchevent

Ivan EnriquezXiaoquan Wen

Wei ZhengHanwen Huang

Irina IrincheevaMohan Pant

Na CaiKenneth WuJiangdian Wang

Jurgita ZidanaviciuteAli Al−Sharadqah

A.M. Santos

Stefan MihalacheXin Huang

Simina BocaBirgit WitteJoshua SvensonMichael Amrein

Axel BücherVinh NguyenMeng Zhao

Lindsay Renfro

Benjamin GoldsteinJohn HughesMelinda Thielbar

Samson Adeshiyan

Li MaElizabeth TiptonDi Wu

Saheli DattaAndrew Smith

Xiao WuLaura Hatfield

Ashkan ErtefaieJisung ChaShaoyu Li

Shujie Ma

Runlong TangMatthew GuerraByeonghwa Park

Kun Chen

Zifang GuoSong YanTianle Hu

Nanshi Sha

Yao Xie

Shaonan ZhangMartin Wendler

Christiana CharalambousRaed Abu Awwad

Susanna BjörkwallYi Su

Hongyan Chen

Zhanpan ZhangSherry LinAnestis Touloumis

Jürg Schelldorfer

Herman RayXiaodong Lian

Markus BibingerJonathan Briggs

Haikun BaoJean−Marc Freyermuth

Ruosha Li

Peter HeppergerLe Bao

Mina YooShuxin Yin

Ron ReederSeonjoo LeeMatthew Till

Nan Lin

Sara Kherad PajouhKari LockXiaoping Shi

Michaela ..edováEun Ryung Lee

Shankar ViswanathanJuan Carlos Martinez−Ovando

Haojin ZhouKarla Fox

Kukatharmini Tharmaratnam

Benjamin HofnerWilliam Volterman

Yanqing HuOleg Mayba

Jamila MathiasJason Wyse

Colleen SitlaniWanying LiXia Li

Amanda FergusonXiao Xu

Julia ChiampaEvelyn Herrholz

Anirban MondalMichael ScholzJelena Bradic

Angela Schoergendorfer

Guy FreemanPeng WangJichun Xie

William DarniederMatthew Tibbits

Shaowei LinCharlotte Wickham

Kristin PorterLeif Ellingson

Sydeaka WatsonYi PanShawn Simpson

Ying SunNi Li

Asad Ali

Pei LiRadhendushka Srivastava

Chiranjit Mukherjee

Maik SchwarzMichael KarshLeonie Selk

Jeffrey SwitchenkoElijah DePalma

Junqing WuNanhua Zhang

Wei−Chen ChenMarcin Hitczenko

Duygu Sava..c..Tezcan Ozrazgat

Chloe ChenFei Su

Kevin BartzAdam Cardinal−Stakenas

Laura FarnanMonica Bennett

Jun ZhouKassandra Fronczyk

Pauliina IlmonenNadia Rabehi

Joseph Walter SakshaugBledar KonomiAndré Moser

Yanzhu LinPhilippe Regnault

Wei−Ying Wu

Anthony LeeMehdi Soleymani

Jennifer Bobb

Tchilabalo KpanzouZhigang YaoAirton Kist

John Ehrlinger

Xipei YangKiranmoy Das

E. M. Asitha EdirisingheWei Tan Tsai

Ping−Shou ZhongTianwen Chen

Caroline UhlerDimitrios Karyampas

Ye LiuAlexander Schmitz

Michael BaiocchiMarian Farah

Mehdi MaadooliatArian Maleki

Min LinHyukje KwonLeanne Streja

Eric ChiNils−Bastian Heidenreich

Partha MukherjeeMine ÇetinkayaSusan Gruber

Saran Vardhanabhuti

Shuhei OkumuraJian Kang

Linda EllingtonRobin Evans

Shaokun ChuaiJennifer Tom

Hui XiongJing He

Maritsa ToroDominik Sznajder

Todd KuffnerChristof Wiechers

Hao HanRicha Vatsa

Tan Li

Venkat Chandrasekaran

Rupali KanadePeter MilnerBrigid Wilson

Ana Sánchez SánchezSandra Hurtado Rúa

David KahlePhitchaphat Bowonrattanaset

Liang JingClaudio Durastanti

Soyoung RyuZhihua LiuPamela Llop

Luciene GonçalvesArnout Van Messem

Min Kim

Yan XuTorben Kuhlenkasper

Ishmael ShararaRodolfo Mendez−Marcano

Habib EsmaeiliJohn SpivackAdityanand Guntuboyina

Hilary LyonsNoah ZimmermanLaine Bradshaw

Kyu Ha Lee

Eddy KwessiYohann de CastroMinghui Shi

Jonathan LaneMichael VodhanelChristian BenderWei−Wen HsuBushi Wang

Jin Zhou

Ond..ej Vencálek

Saisuke OkabayashiSean DevlinSaiful Islam

Yun XueYasaman HosseinkashiMin Niu

Marcio ValkSasan AlizadehTyler Williamson

Anna Little

Eleni GiannoulatouTrijya Singh

Ruoxi XuRan Li

Achilleas AchilleosTianyang ZhangZhaowei Hua

Mohammad KourabiJoao Filipe Monteiro

Yunwen YangMuhtar OsmanGeorge Kouvaras

Julie SmithFarah Yasmeen

Ying YuanRaquel Linhares

Teng Zhang

Jing DaiKris De Brabanter

Jason LaCombe

Davide La VecchiaMarcos PratesJeffrey StrattonSherri RoseBertil Wegmann

Chaitanya JoshiMichaela PaulXiao Huang

Indranil GhoshMarcin Kuta

Stefan GiebelMareen Marchlewski

Xanthi PedeliHuaqing ZhaoRodney Allen Sparapani

Leslie HendrixGregory MatthewsChengcheng Liu

Daniel OberskiC. Laura Acion

Xiaobin YangMohammad Aziz

Yun BaiDaoji Li

Guanchun WangCherie Kientoff

Nancy ChalmersLei QiDaniel Polhamus

Parviz MalekzadehHaipeng ZhengFrowin Schulz

Chinghway LimJie Shen

Ottmar CronieThomas Parker

Mamadou KonéYongSeok ParkMiguel MarinoZuofeng Shang

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Jiangtao DuanKelly McConvilleEric Reyes

Tracy HolsclawZhuang WuMing Zhou

Fernando Baltazar−LariosYaniv Plan

María José García−ZatteraBei Chen

Jiahan LiVictor Sal y Rosas

Yijia FengJunyi LinMehmet Kocak

Elisha HughesYankun Gong

Demba BaArash Ali Amini

Karl Rohe

Kelly BurkettJin Liu

Samir TouzaniMatthew WilliamsKimberly Henry

Katharina LangeElena Di Bernardino

Jan DienstbierBrian Weaver

Matú.. MaciakJihey Lee

Birgit Arn/SchrödleTyler McCormick

Mehdi Jabbari NooghabiHaitian WangYoussif Rahim

Leen Slaets

Shyamal DeXiaolei Xun

Cong Liu

Rui XuTiep MaiRena Sun

Ahmed Barakat

Sujitta SurapheeZheng Xu

Huaihou Chen

Yujuan XieRajarshi GuhaniyogiAndreas Hagemann

Tobias MielkeXie Ning

Farid Jamshidian

Abby FlyntGang Chen

Ye LiErik LewisLizhen Lin

Garvesh RaskuttiJordan Cuevas

Paul HillShilin Ding

Darren HomrighausenDebdeep Pati

Guanqun CaoXin Tong

Stefanie TitoffFaiza Elkhafifi

Anju Goyal

Bin DaiJhames Sampaio

Amanda Gomes

Xu He

Yajuan SiFatemeh Azizzadeh

Mengmeng GuoRan LiuJoseph Guinness

Michelle Carey

Farrukh JavedIrina Kukuyeva

Vitara PungpapongPritha Guha

Takumi SaegusaWeining Wang

Youna HuSanjeena Dang

Holger FinkAbraão Nascimento

Lynn Lin

Kieran James MartinOliver Pfaffel

Emily ColbyOsama Bataineh

Xuan LiSaverpierre MaggioGuangyuan Yang

Katharina ProkschAlok DabadeWenfei ZhangLuis BarbozaSebastian EngelkeVerena Feirer

Yi CaoLiangliang Wang

Emilie VillaronDaniel Bruynooghe

Kai Cui

Luke MiratrixRavi Goyal

Hsing−Ming ChangShanshan ZhaoHui Ma

Jeffrey GonzalezJi Hyung ShinJianchang Lin

Ke Wang

Adam BullSeong Jun YangGregory LevinPengfei ZangMiland Joshi

Wei Shao

Darongsae KwonBinyan Jiang

Zaili Fang

Béchir DolaEric Tollefson

Qie LiFrancesca Tembo

Victor HuErin CondonWeichao Bao

Daniel OsborneKehui Chen

Amanda McCrackenSivan Aldor−NoimanRene de Jonge

Richa SharmaIgor Kheifets

Andrius CiginasHamid Ghofrani

Martin TietjeRonaldo Miranda

Anna MacDonaldShirley Leong

Rebecca KillickSakyajit BhattacharyaJordan Brooks

Ismael TalkeYue Yu

Tonya Lauriski−KarrikerYassir Rabhi

Weijie GuShan Yao

Ryan WilliamsChristine KissYou Beng KohHanfang Yang

Joanna JanczuraMatthias TrampischAhmad Aboalkhair

Andrew MagyarAnthea Monod

Zhao Xu

Jessica LarsonRui WangQian Ren

Youngdeok Hwang

Pengsheng JiScott Crawford

Jason SomervilleJohann Gagnon−Bartsch

Jacob BienAndrija Mihoci

Rosalie WheelerSimon Byrne

Emilio SeijoLuke Bornn

Liewen Jiang

Qier TanBo Liu

Zheng TanJun Huang

Jorge Román

Maduka RupasingheNusrat HarunPaul Plummer

Zhao ChenDongjun Chung

Timur ZubayraevMarkus HoferPhilip Boonstra

Julius SchniedersBingzhi Zhang

Hua WeiYan Liu

Haiwen ShiBoan Zhang

Sahar ZangenehHanan Elsaied

Thomas RuschDina HanerBenjamin Tams

David Purdy

Jennifer GeisChen Xu

Kan ZhangPaulo Rodrigues

Jennifer SinnottYan FangRebecca C. Steorts

Francesca Ieva

Joel VaughanWilliam Leeds

Shuo Chen

Ugur KarabeyMohammed Benmoumen

Gungor PolatkanMuslima Zahan

Shou−Jen Chang ChienNorbert Remenyi

Bastien MarchinaKazuki UematsuRitabrata Dutta

Nels JohnsonTimothy KnapikAnastasios Skourkeas

Ivan SimeonovYu Ma

Catherine Timmermans

Richard IdowuLori Dalton

Jieqi Yu

Ming YangPrabhu Bhagavatheeswaran

Jae Youn AhnAleksandar Nasti..

Junlong Li

Han XiaoSebastian Irle

Elizabeth HandorfHolly Stovall

Adrian O'HaganAdeilton Alcantara

Christopher McMahanRebecca Le

Xiaohui ChangKaren McKeown

Trina PatelYue FanPiyada Thongjaem

Lei PangAnna Campain

Alexandru BeluFang Xie

Yijiang LiDong−Yop OhSandra Griffith

Wanida LimmunLingzhou Xue

Tolulope SajobiOsvaldo Anacleto Junior

Matthew BryanAndrew CronFethi Madani

Monica SirskiMartyna CitkowiczEduwin Pakpahan

Carlos SilvaBin Chen

Camilo RiveraJohn HosslerWei Zhong

Eric FosterTobias WickernLeena PasanenBrian Knaeble

Johannes LedererSimon Müller

Simon PostecGuifang Fu

Konstantin GlombekEsra KurumVolker Pohl

Gordana DjurasStephanie Simon

Anirban Bhattacharya

Adam Guetz

In KangStefan Fremdt

Jingjin LiXiaojun Jiang

Nigie ShiAnna Klimova

Liang NiuMiao Zang

Alemtsehai TurasieDavid Legát

Connie Li Wai SuenDipayan Maiti

Aliakbar MohsenipourGift NyamundandaAhmad Osman

William KengneLaëtitia CommingesSeonghye Jeon

Sofia EspinozaMartin Lysy

Songfeng WangValeria Vitelli

Jingyang ZhangWenqing LiDunke ZhouJason Parrott

Joao Vitor MonteiroAndrew Karl

Mark Joseph FiecasScott ClarkXiaoyu Li

Ashley Holland

Oliver MorellIsabella Gollini

Janon Alexandre

Lizhen Xu

Hang Joon KimXiaohui Liu

Douglas Hayden

Vishal MauryaColin Rundel

Mohamed Elsaeiti

Mavroudis EleftheriouAlberto CaimoSubhra Dhar

Mauro AlvesRoman JandarovLe Kang

Katrin KrausJagadiswar Samajdwar

Layla ParastVerena ZuberMing ZhongYihui ZhouChen XingZhulin He

Stefanie HayozJeff Capobianco

Jeeraporn ThaithananSergiy NesterkoHuiying WangScott BeneckeMichael Diether

Sarah GersterFei Wang

Matthew WhiteXavier MilhaudAlessandro Carta

Jeffrey AndrewsCong FengPhilipp Rütimann

Roshanak NateghiWaldyn Martinez CidJouchi Nakajima

Russell ShinoharaNoroharivelo Randrianampy

Sergej Potapov

Norman Haidus

Jonas PetersTai Kaufmann

Robert KorteAnne HansenGabriel Murillo

Alexander MalinowskiRudy Pastel

Rina Foygel BarberRaymond Molzon

Walter OrthHuybrechts Bindele

Christopher DrovandiLouis AslettNagesh Adiga

Huizhi Xie

Paul HofmarcherSandra Ligges

Sonia AmodioQizhuo Huang

Xuehua LiangShengning Xiao

Finale Doshi−VelezJuan Bali

Yuanyi PanGábor Sz..cs

Zhou FangCiro Velasco−Cruz

David DailJavier Tarrío Saavedra

Qing Huang

Jakub StoklosaJohanna KappusJessi Cisewski

Huaiye Zhang

Abhay SubramanianAlexander Volfovsky

Yi YuChanmin Kim

Tiago VargasAbubakar AsaadLejia Lou

Naomi BrownsteinCheng Liu

Poonsak Sirisom

Thomas Harold KirschenmannRachel BecvarikArnab Bhattacharya

Jinlin Song

Dominic MagirrBrianna Heggeseth

Nabil ZougabCheng−Hsueh YangBernd Klaus

Julia BraunJustin SilverJiashen You

Pál RakonczaiChristopher DienesNa Yang

Xiaoyu CheDavid Spade

Ka Young Park

Matthias TanYijie Wang

Matthias Guhlich

Isabel Cristina LeiteFeng Li

Francisco Rubio

Ja−an Lin

Nathaniel HelwigXuejing Wang

Alexander BlockerNan Chen

Zakaria KhondkerTian Chen

Jonathan BradleyJinyuan Chang

Blake HillTimothy Kennel

Grant Weller

Wenxin ZhouHaoyang LiuShuping Jiang

Jun LiBarbara Choro..−Tomczyk

Seung−Yeon HaChester IsmayKewei Lu

Zhiyun GongPaulo De Andrade Serra

Loic Le GratietMartin SolbergerChi Chen

Bailey Fosdick

Sarah ReeseGiorgos MinasStavroula Poulopoulou

Ond..ej ChocholaJared Murray

Bo JiangYihui Xie

Thimo HildebrandtMikhail Zhitlukhin

Ekaterina Vinkovskaya

Samantha SealsMathias BourelCharity Law

Jochen KruppaDaniel Linder

Yue Liu

Toky RandrianasoloWenqiong Xue

Olivier CollierYanran ChenDesislava Voynikova

HaiYing WangTatiana Xifara

Bin ZhuYongxiu She

Fabio SigristSang−Yun OhNestor Parolya

Zhenjun MaFlorian Ueltzhöfer

Matthieu SolnonMinh NguyenNa Hu

Sy Han ChiouYang Li

Tianhua WangJing Xia

Rajeev KumarMark Wheldon

Subhadeep (Deep) MukhopadhyayBartek KnapikYingzhuo Fu

Idil Yavuz

Jasmin WandelParwen ParhatElena SilyakovaYuval Benjamini

Kun Liu

Avideh SabetiMelody Denhere

Adam GraceQi Zheng

Arsene Ntiwa FoudjoGustavo Schwenkler

Adam Loy

Francial Giscard Libengue Dobele−KpokaAbeer Hasan

Belinda PhipsonAurélie Boisbunon

Pallavi Sawant

Camila MartinsCharles DossXuefeng LiuD. Leann Long

Cen WuPaul W. Bernhardt

Hongjia YanGermain Van BeverGabriela Florentina Nane

Rudolfo Angeles

Hasinur KhanHongwei Shang

Audrey KuehShanghong Li

Mahbubul Majumder

Tu XuJie Xu

Hilary ParkerCarolin Pütter

Oksana Chkrebtii

Rafael MaiaYing LiuMiles Ott

Wanjie Sun

Gong−Yi LiaoSeung Jun ShinJoshua Patrick

Swati ChandnaPedro Torres−Saavedra

Mouhamad AllayaGloria Ai Hui Teng

Onkar DalalMikhail Zhelonkin

Stefan WinterJakob Söhl

Mohammad HattabDiego Colombo

Sivaraman BalakrishnanDonghyeon Yu

Nina Senitschnig (nee Huber)Jee Young Moon

Ross Bray

Kevin McLoughlinAimée Gott

Kelly McGinnity

Dilli BhattaKathryn Colborn

Daniel GladishClaudia Strauch

Fernando Fedriani Martel

Jamie GleasonSeong−Joon KimCamille Baysse

Yuan Geng

Christopher James Oates

Yasaman Maleki

Fernando BonassiKarlene Nicole Meyer

Marie GalliganMiriam Hodge

Peter ChiKimihiro Noguchi

Xiaojin Xu

Yicheng KangYichen Qin

Beilei WuAndrejus Parfionovas

Xun JiangQing MaiChun Pan

Guy−vanie Miakonkana

Niroshan WithanagePatrícia Ferreira Ramos

Anita ThielerTaiane PrassNelson RayMaria Grith

Marcus NunesYin Xia

Sean WangJiewei Zeng

Laura AzzimontiCan Zhang

Yifan XuAudrey Boruvka

Valerie FelderFang Shao

Abhimanyu GuptaMoudar SoumayaKarolina Krzemieniewska

Jiay Hou

Maria KonstantinouArthur White

Michele Aquaro

Kimberly McGarrityMasanao YajimaVasiliki Vitoratou

Paul Bui QuangReza Ramezan

Luis Alexander Crouch

Wonyul LeeAtul MallikBirk Schütz

Jared FosterGleb Perelman

Joshua GreeneXiao TongJinae LeeFangpo Wang

Carlos ValenciaShawn Mankad

Brandy RinghamLiwei Wang

Harrison QuickWen−Hsi YangHang Fan

Katherine ThompsonKristen Gore

Lulu ChengFei Ye

Yingbo LiEmmanouela Repapi

Adam LaneErin HamiltonJérémie Riou

Stefano CastruccioDaryle Olson

Marco FreiYue Zhao

Michel MontorilShiyuan ZhangYongping Yan

Emre BarutSaranya Thongsook

Andreas GraefRan DuanJingyuan Liu

Birte MuhsalTatevik AmbartsoumianJoe Smith

Narendra KumarSubhajit Dutta

Xinxin ZhuJulia PalaciosAdam Ciarleglio

Yuling Feng

Maria OsipenkoMeng Qian

Kara StevensVladimir Kovtun

Jing XiSantu Ghosh

James Pustejovsky

Grace NgunkengHaci M. AkcinYanxi Xie

Min WangAlain Hauser

Zhongyi YuanWinston Lin

Jennifer BoykoSarah Taylor

Vibhav Bukkapatanam

Ashok ChaurasiaDavide Pigoli

Hyunkeun ChoTammy Harris

Elizabeth Gross

Michael WierzbickiElizabeth StoneDao−Peng ChenRobert Durrant

Yumn Yusoff

Zhipeng HuangMateen Shaikh

Christopher Nam

Xicheng FangIvonne Jarick

Clément ChevalierQiaolin Chen

Camila de SouzaJesse Raffa

Adela Martinez CalvoLaurence de Torrenté

Junvie PaildenYu−Yi Hsu

Alejandra VahnovanInder Tecuapetla Gómez

Qian WuPeisong Han

Hwanhee HongGongjun Xu

Chih−Ying LinWenrong HuSungmin Kim

Elena Jirina Holl EhrlichJohn Lewis

Hamdy Mahmound

Aldo Medina Garay

Sunyoung ShinDivinagracia Del Prado

Paige MaasJoseph Ryan Lansagan

Miranda Michelle

Mathias TrabsYifat LaviYijin Wu

Hanzhong LiuGéraldine LaurentEdwin Lei

Jordan Rodu

Simon SchneiderGavin Lynch

Cheryl FlynnChintan Mehta

Caitriona RyanLei GaoChel Hee Lee

Kay See TanWon Chang

Wei DaiInma Tur

Adam CombsBazoumana Kone

Samir Warty

Garth TarrQijun Fang

Simon KnausBrian FranczakWenwen Tao

Wen ZhouGrant Schneider

Yuyan Wang

Wei ZhaoXiaoxiao Tang

Qian LiuZhuanyu CaiKemal Sen

Damien McParlandChong ZhangMåns Thulin

Quentin BerthetKanlaya Boonlha

Ahmad AlzaghalMaximillian Chen

XingWu ZhouGuohui Wu

Jianfeng MengCheng Wenren

Meng Wang

Shuang XiaXinxin Shu

Mu LinXiaofeng Zhou

Albert Sánchez NiubòYanming Li

Monthira Duangsaphon

Bradley PriceOliver Galvis

Ronnie PingelJustin Chown

Jing WangM. Muge Karaman

Qiao Zhang

Xijia LiuFeng ZhouTobias VoigtJianxin Wei

Wanjie WangCarla HoweAnna Gersh

Hua Shen

Woosuk Kim

Oliver VoggenreiterSimon Steinvorth

Niki ZumbrunnenJesús Alonso Cabrera

Zhen XiaoYunshun Chen

Alejandro CholaquidisSoojin Roh

Philip ErnstJenna Krall

Botond SzaboHans−Joachim Helms

Sydney AkapameBaoyong Wang

Samuel TumlinsonYuan Xue

Patric Müller

Adam King

Alexandra SoberonEmil A. Cornea

Qiang SunRasha Elhage

Zhenke WuChristian Kerkhoff

Roman PahlRan Ji

Shangbang RaoJoseph Usset

Yiou LiDamien−Barthélémy Jacquemart

Délia Gouveia ReisXiaoyu Liu

Diego Gallardo MatelunaJian Zhang

Qiurong Cui

Xiaoqing Niu

Fares QeadanZhiying Qiu

Olusola Makinde

Lu XiongIbrahim AbdelrazeqNirupam Chakrabarty

Rui Li

Xiaofeng ShiNeo Christopher Chung

Xizhen CaiTze Choy

Maria VronskayaFuqi Chen

Ruprecht PuchsteinJiawei Yao

Andreas KnochLu GanPeter Bubeliny

Tanina FosterQian FanShan Yang

Maria Elena Rivera Mancia

Valerie PareNetsanet Imam

Sulafah BinHimd

Katherine MorrisVictor−Emmanuel Brunel

Siyu QingUtkarsh Dang

Matan GavishYunzhang Zhu

Zhigeng Geng

Matthew DavisAkiva Lorenz

Serge SverdlovAndrea Pierini

Wei MaJose Figueiredo

Rajen ShahJack Knorr

David DalpiazSebastian Vollmer

Che NguforMengjie ChenPaolo Zanini

Fatih LauMartina Mincheva

Smail YousfiTimothy Daley

Jane LangeDengfeng Zhang

Megan SmithXueyuan Cao

Akram Kohansal

Alan Simpson

Alessia PiniThomas MöbiusAntonio Daziario

Forrest Williamson

Jonathan HeydariYangyi Xi

Hee Min ChoiJari MiettinenMd. Abdus Salam Akanda

Miguel ColomYinglei Li

Sumanta BasuJack Sawilowsky

Zheng Ke

Francyelle Silva

Franziska LindnerElla RevzinClaudia Leonardi

Cheng ZhengShu Yang

Haleh Ghaem MaralaniSancar AdaliJonas Wallin

Daniel SussmanSenthil Girimurugan

Zhiyu LiangIrene Vrbik

Catalina VallejosEmil Pitkin

Juan ShenSonia Dias

Joseph Kelly

Till SabelMoyi Li

Hayan HasanVladimír Lacko

Shahin TavakoliHella Timmermann

Gary EvansShengchun Kong

Ou BaiThomas Murray

Freedath Djibril MoussaYumou Qiu

Wanling Wong

Tobias KleyHsin−Hsiung Huang

Gregor KastnerJean−Paul LucasElvynna Leong

Saâdia Rahmani

Kolyan RayDaniel Sabanés BovéDanielle Sullivan

Jyotishka DattaSouhaib Ben Taieb

Sungwook KimAmanda Koepke

Guoli SunAnirvan Chakraborty

Hanyu YangIna BurghausLaura YeeReinhard Heckel

Chana LowensteinDedy Dwi Prastyo

Himel MallickLukas Martig

William AeberhardFarid El Ktaibi

Erika FülöpBowen SongYudhie Andriyana

Alyssa Frazee

Martin Bezener

David Cox

Peter Bloomfield

Scott Zeger

Patrick Heagerty

Thomas Lumley

Petra Buzkova

1850 1900 1950 2000gradYear

Figure 12: The shortest path between Sir David Cox and Petra Buzkova, superimposed over the datastructure, using a bin size of 200.

32

Johannes Conrad

Richard Henke

Bernard Hazelhoff Roelfzema

Abraham Verweij

Johann Jahn

Hendrik Onnen

Johannes Peek

Wilhelm Zorn

Allard Holwerda

Johannes du Saar

Louis Leon Thurstone

Ursul Lely

Hermann Hitzler

Felix Burkhardt

Walter Schwarzburg

George Baker

Edwin Mouzon

Siegfried Koller

Josef Novák

Gheorghe Mihoc

Johannes Derksen

Pandurang Sukhatme

Hans Lörtscher

Everett Welker

Slobodan Zarkovic

Herrmann (Hirschfeld) Hartley

Holly Fryer

Johannes Heyne

Hans−Ludwig Schwarz

Emil Kempf

Wilfrid Dixon

Theodore Anderson, Jr.

Andre Laurent

Melvin Springer

Frank Massey, Jr.

C. R. Rao

Sten Malmquist

Edwin Dalziel

James Durbin

Thomas Cheatham

Cyril Domb

Albert Bowker

Edward Paulson

Alan Stuart

Vasant Huzurbazar

Leo Goodman

Alladi Ramakrishnan

Robert Bechhofer

Samarendra Roy

Walter Schneider

Peter Whittle

Milton Sobel

Erland Hofsten

Donovan Thompson

Franklin Graybill

Fred Andrews

Marcel−Paul Schützenberger

Colin Mallows

Charles Stein

Gerald Lieberman

Herbert David

Dan Teichroew

Kenneth Haley

Nakibe Topuz

Om Aggarwal

Allan Birnbaum

Russell BradtStephen Allen, Jr.

I. Savage

Adolf Adam

George Resnikoff

Victor Skitovich

Martin Wilk

Anna Vaughan

Douglas Robson

Karl−August Schäffer

Paul Meyer

Charles Boll

John Pratt

Gwilym Jenkins

Jerome Sacks

Oscar Wesler

Irving Weiss

Anadi Roy

Jagdish Rustagi

Prasert Na Nagora

Valentin Blumenfeld

Edmund Geham

Geoffrey Gregory

Tore Dalenius

Jaime Puig−Pey

John Folks

Hale Sweeny

Donald Guthrie, Jr.

George Zyskind

Hanns Klinger

Abram Zinger

Jacob van Klinken

William Commins, Jr.

Frank Proschan

Samuel Greenhouse

B. Rao

Gunnar Eklund

John Ashford

Anand B L Srivastava

Austin J. Bonis

Thomas Willke

Arthur Albert

William Pruitt

Peter Zehna

Franklin Fisher

Dana Quade

Donald Roberts

Babubhai Shah

Charles Quesenberry

Donald Morrison

Stuart Bessler

Ivan Fellegi

Gerard Leppink

Damaraju Raghavarao

Jon Rao

Edward Perrin

Selig Starr

Gunnar Kulldorff

Anant Kshirsagar

Eugene Lehman, Jr.

Walter Woods

Zakkula Govindarajulu

Olle Hoflund

John Bishir

Joseph Kullback

Lloyd Bell

Robert Miller

Dieter Rasch

Richard Barlow

Friedrich Gebhardt

Richard Singleton

Mars Cramer

Shelemyahu Zacks

Arnold Goodman

Tito Mijares

P. S. Swami

Otfried Beyer

Masashi Okamoto

George Tiao

Carol Edwards

Donald Bentley

Teunis Terpstra

William Mallios

Murray Geisler

Jean Gibbons

Robert Odeh

B. Kale

Laurence Herbst

Pranab Sen

Witold Klonecki

Abram Kagan

Elizabeth Yen

Tadeush Mar'yanovich

Ene−Margit Tiit

Pramod Pathak

Eugene Laska

Hans Zweig

Karl Jöreskog

Joseph Gastwirth

Raghunandan Bhargava

Jean Fortier

Izak Mauritz van Aarde

Paruchuri Krishnaiah

S. A. Doss

Raymond Myers

William Hunter

Om Srivastava

Amalia Khusu

Gordon Antelman

Khursheed Alam

Adnan Ifram

F. Smith, Jr.

Johannes Venter

Rajinder Hora

Martin Schatzoff

Andrej Pázman

John Fryer

Richard Kronmal

John Thornby

Muni Srivastava

Donald MacEachern

Hans Vahle

Lee Smith

Paul Switzer

Anis Kanjo

Oleg Shalaevsky

Reinhard Trommer

Roy Milton

Lubomír Kubá..ek

Howard Taylor, III

John Hewett

Elias Parent, Jr.

Chaim Sternin

Milton Chew, Jr.

Leland Stewart

Nina Mitrofanova

Hari Ram Singh

Joseph Schoderbek

Irina Romanovskaya

Nariaki Sugiura

Bryant Chow

Stratis Kounias

Jayant Deshpande

Md Mostafa

Ji..í And..l

Raymond Chiao

Vladimir Kolemaev

Carl Morris

Gerald Chase

Nigel Nettheim

John Chambers

Herbert Studer

David Sylwester

George Hext

Manavala Desu

Richard Schwartz

Mary Blomquist

Kenneth Mullen

Margaret Gessaman

Lyle Broemeling

Paul Seeger

Martin Knott

Larry Ringer

Paul Shaman

Toby Mitchell

Grace Wahba

Joseph George Caldwell

Asit Basu

Donald Swain

Paul Milch

Satindar Kumar

Bhagavatula Prakasa Rao

Boris Iglewicz

Jean−Paul Gimon

Leon Rappaport

Willi Walser

Stephen Stigler

John Radcliffe

Jayaram Borwanker

P. Knopov

Ronald Hackleman

Tomislav Zecevic

Marvin Lentner

J. Wanzer Drane

Stanley Sclove

William Smith

Samprit Chatterjee

Chien−Pai Han

Paul Hinz

Donald McNeil

Mahmoud Samarrai

Jana Jure..ková

William Shonick

David Gomberg

Nikolai Bodin

Serguei Aivazian

David Moore

Mohammad Ali

Paul Feder

Marilyn Sorum

Virgil Craiu

Suharto Soedardjo

Christos Tsokos

Walter Jahn

S.W. Lee

Y. Chung

Martin Hamilton

Andrew Kalotay

Michael Perlman

Mark Brown

Robert Lochner

Sheldon Ross

John Gittins

Dana Vorlí..ková

Jagdish Patel

Harold Sackrowitz

Corwin Atwood

Wolfram Herold

Arjun Gupta

Hans−Hermann Bock

Edward Wegman

Florence Gordon

Sterling McGuire

Ben Houston

William Cooke, Jr.David Berry

Thabet Ahmed

Ralph D'Agostino

Roger Jones

Sumedha Sengupta

Marie Hu..ková

William Cleveland, II

Robert Fossum

Charles Phillips

Adam Taube

Wolfgang Wertz

Aaron Tenenbein

Anthony Bull

Leo Knüssel

C. Tharakan

Robert Davies

Jerald Lawless

John Abraham

Christopher Robertson

Marshall Sylvan

Justus Seely

James Arvesen

Thomas Bratcher

Maxwell Layard

Li Tu

Edwin Bradley, Jr.

Peter Enis

George Styan

Claude Loadholt

François Steffens

Victor Yohai

Robert Azencott

Peter Anderson

Charles Mann

Donald Marcotte

Jack Kalbfleisch

Prabhaker Ghangurde

Edwin Chen

Subrahmanian Panchapakesan

Doris Lloyd Grosh

Joachim Krauth

Frederick Glick, Jr.

Carl Roux

Abdollah Hadian

George Milliken

Thomas Burnett

Anand Katiyar

George StojkovicJulius Jonas Kruopis

Rolene Cain

Huynh Huynh

Gary McDonald

Donald McCaughran

Dennis Young

Robb Muirhead

Robert Ling

Ivo Molenaar

Vyaghreswarudu Susarla

James Ware

Richard Shorrock

Elliott Nebenzahl

Jack Doyle

James ReinmuthAlvin Rainosek

Etan Markowitz

Bernhard Rüger

Joel Goldman

Charles Lewis

William Schucany

Burt Holland

Marcello Pagano

Arlo Hendrickson

John Beckwith

Klaus NagelFloyd Spraktes

William Vaughn

Walter Johnson

Richard Fawcett

Lyman McDonald

Norbert Victor

Ganapati Desai

Allan Sampson

Graham Upton

Abdelaziz Laghrari

Paula Diehr

Roberto Mariano

Ralph Kromer

Perry Gluckman

Melvin Moeschberger

Kenneth Waugh

Takis Papaioannou

Helmut Strasser

George Fishman

Walter Pirie

Gary Chase

Kenneth Weldon

Kathleen Lamborn

George Duncan

Jonas Ellenberg

Gene Sogliero

Thomas Polfeldt

Richard Schwaller

Thomas Kelley

Dallas Johnson

Vladimir Eidlin

Edgar Brunner

David Thomson

Muhammad Zaatar

William Padgett

Bruce Turnbull

Federico O'Reilly

Warren Rogers

Marshall Clevenson

John Kinney

Sidney Hinkley

Neil Arnason

William DuMouchel

Chandra Gulati

Prem Goel

Nguyen Van Ho

Christopher WithersJames Reading

Edward Brill

Dale Borglum

Dar−Shong Hwang

Roger Haboush

Essam Al−Hussaini

Peter Macdonald

William (Bill) Barksdale

James Davenport

David Hosmer, Jr.

Gennady Kartashov

Donald Berry

Harald Fritzsch

Louis Jensen

George Canavos

Janet Milton

Roy Byrd

Barbara Grabner

Gary Simon

Raj Chhikara

Karen Fung

Owen Whitby

Louis Gordon

Stuart Dufour

Sally Sievers

Robert Lind

John Quiring

William Nichols

Alexander Papadopoulos

Anders Ågren

Anthony Olsen

Adrian Smith

Robert Woolson

Peter Robinson

Joseph Lockett, III

Jay Devore

Albert Kinderman

John Hall

Tertius de Wet

Mariana Craiu

William Taylor

Furman Smith

John MacGregor

Goro Nagase

Ashim Mallik

Dai−Young Kim

Stephen Hardiman

Rolf Sundberg

Cheng Hsiao

Andrew Dale

Marion Reynolds, Jr.

William Coberly

Klaus Richter

William Warde

Stanley Shapiro

Peter Bryant

Gene Lowrimore

Tea−Yuan Hwang

John Eccleston

John Sennetti

Pedro Vit

Benjamin Kedem

M(arilyn) Nancy GellerDavid Osteyee

Anil Gore

John Crowley

Luciano Molinari

Mikhail Nikouline/Nikulin

Uttara Rasmussen

David Edgerton

Rameshwar Gupta

Dale Rasmuson

Douglas Jones

Jan de Leeuw

Thomas Santner

Laurel Smith

Nozomu Matsubara

Yuri Borovskikh

Carles Cuadras

Janet Campbell

James Maar

Glenn Shafer

Marcus Spruill, III

Richard Jarrett

Andreas Bellmann

Kazem Mohammad

Gisbert Quelle

D. Anton Florian

Thomas Corwin

Lonnie Shepard

William Venables

Samuel Givens

Anilkumar Kharshikar

Jonas Jusas

Wolfhart Jung

René Hirsig

Richard Monahan

Alan Unger

R.P. Singh

Andrzej Kozek

James Gentle

Fan−Nan Lin

Yasuko Chikuse

Abou Khidr

Erich Neuwirth

Ricardo Maronna

Thomas Norwood, Jr.

William Davis

Bruce Levin

William Swallow

Charles Pfeifer

Reider Peterson

Michael Goldstein

James Daly

Lennart Bodin

Richard Katz

John Holt

Syed Shamsul Alam

Stanley Eckert

Bogus..awa Bednarek−Kozek

Zuzana Prá..ková

Günter Hohmann

Jack Tomsky

Vasan Thanyamanta

James Inglis

Henry Braun

Martin O'Connell

H. Sanford Weisberg

Shibdas Bandyopadhyay

Ralph Kodell

Wilfried Grossmann

Gideon Weiss

Ersen Arseven

Kasra Afsarinejad

Larry Muenz

Harold Hudson

Ronald Glaser

Kazimierz Karpinski

Anthony O'Hagan

Reinhold Bergström

Jack Lutz

Judith Lessler

Paul Deheuvels

Paula Norwood

Steven Sidik

Bo Ranneby

William Cumberland

Lynda White

Albert Petkau

Gary Clark

Ajitkumar Tamhane

Marion Green

Winfried Stute

Ivan Volný

Farrokh Guiahi

Joseph Cchmiel

David Berengut

Dmitry Skryabin

Vernon Thomas

Arthur Roth

Katherine Monti

Charles Lund

Allan Skene

Mara McLaren

Hermann Habermann

Jan Amos Ví..ek

William Meeker, Jr.

John Whitehead

Bruce Schmeiser

Marjorie Peterson

Selén Jan

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T. Srivastava

Arne Wunderlin

Staffan Uvell

Kerstin Vännman

Patrick Brockett

Joan Sander

Robert Latta

Iosif Melamed

Magdalena Rutkowska

Hsien Lin

Takeaki Kariya

Melchor Ortiz, Jr.

Bovas Abraham

Harry Parker

Wilkie Chaffin

Gloria Zerdy

João Gilberto da Silva

Anthony Swain

Edward Jones

Gary Regula

Raymond Williams

André Tchen

Antoni Styszynski

John Turner

Dennis Brady

Harold Diamond, Jr.

Margareta Holgersson

Lloyd Bond

Mahmoud Daneshmand−Firouzabadi

David Scott

Thomas Wehrly

Ted Szatrowski

Nira Herrmann

Ryszard Magiera

Georg Pflug

Charles Shaffer

Roland Günther

Basilio Pereira

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Margaret Wesley

James Pong

Terence O'Neill

Raul Mentz

Thomas Snabb

Dag Sörbom

Michael Jacroux

Le Anh Son

Greta Ljung

Dennis Kern

Peter Hall

Arthur Peterson, Jr.

Siddhartha Dalal

James Tiede

Richard Burdick

Anthony Quinzi

Norbert Matzl

Lennart Rhodin

Narendra Nath Singh

Sanford Brubacher

Yogendra Chaubey

John Hyde

William Raynor, Jr.

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Czes..aw St..pniak

Daniel Mihalko

Le Roy Franklin

Ahmad Mattar

Ronald Butler

John Henstridge

Ronald Thisted

Mari Palta

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Atsu Dorvlo

Robert Norland

Beth Gladen

Joseph Deken

Julia Norton

Anthony Bryk

Claudio Silva

James Rosenberger

Stanley Wasserman

James Leeper

Yehuda Vardi

Perry Haaland

Roger Berger

William Dupont

John Panaretos

Peter McCullagh

Bengt Swensson

Andrew Siegel

Leonard Howell, Jr.

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Robert Shore

Peter Fortini

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Douglas Mallenby

David Jones

Julián de la Horra Navarro

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Charles Holt, Jr.

Mohamed ElBassiouni

Abhaya Indrayan

Bengt Muthen

Gejza Wimmer

Amitava Mitra

Daniel Krewski

Rajan Shinghal

Sheryl Kelsey

Friedrich Schmid

Vladimir Donchenko

Vijayan Nair

William Notz

Peter Sander

George Kokolakis

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John Marden

Russell Barton

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Tadeusz Radzik

Mohammad Meshkani

Robert Duin

Oscar Bustos

Sophronia Ward

Mark Berman

Jan Hurt

Maria Ivette Gomes

Ulf Olsson

Murray Cameron

Paul Janssen

Edward Korn

Krzysztof Orlowski

Margaret (Chmielewski) Nemeth

Hajime Takahahshi

Jessica Utts

Jay Lubin

Melvin Linnell

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James Anderson

Jürgen Pilz

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William Rogers, III

William McCormick

Sue Leurgans

Michael Chernick

Sam Choy

Rouh−Jane Chou

David Brooks

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Ashis SenGupta

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John Kellermeier

Woo−Chul Kim

Bentson McFarland

Paul Swank

Göran Broström

Reinhard Hilgers

Michael Nussbaum

Vincent LaRiccia

Robert Keener

Werner Nagel

Carol Link

Fereydoon Ahrabi

Jack Kaplan

Andrei Makshanov

Barbara Stauffer

Victor Guerrero−Guzman

Maria Rivera de Baez

Curtis Wiltse

Jonathan Hosking

David Tyler

Jean−Loup Madre

Michael Mack

James Albert

Richard Lockhart

Ron Kenett

Richard Greer

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Susan Hinkins

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Raghu Kackar

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Charlie Fiskeaux

Suan−Boon Tan

Ingrid Gnutzmann

Jiunn Hwang

Marvin Gruber

Suzanna Wong

Thomas McWilliams

Marlene Egger

Delores Conway

Krzysztof Szajowski

Jayanti Chotai

Florin Gorunescu

Steven Simmons

Paul Sampson

R. I. Webb

Walter Stroup

L. Mark Berliner

Alfred Reich

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Alvaro Muñoz

David Tritchler

Jessica Pollner

Cyril Grivet

Gordana Jelisavcic

Charles McCulloch

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Gopalan Tirumalai Kumara

Christos C. Frangos

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Reinhold Hatzinger

Barry Quinn

David Hamilton

Mahmood Samiei

Christy Chuang−Stein

Paul Lin

Debra Bernstein

William Halteman

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Margaret Stewart

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Richard Lomax

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Hans−Georg Müller

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Werner Ploberger

Barbara McKnight

Leslie Bernstein

Mool Agrawal

William J. Riley

Alan Kimber

Nasser Arghami

Steven Lalley

Lars Lyberg

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Edward George

John Kalk

Allan Wilks

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Harry Tigelaar

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David Lax

James Sweeder

Richmond Oldford

Joseph Verducci

Partha Majumdar

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Keaven Anderson

Anthony Warrack

Pe−Cheng Wang

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Bruce Cooil

John Gillespie

Adger Butler

Judith Koslov

Imogene McCanless Grimes

Lincheng Zhao

Smita Nabar

Neil Poulsen

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S. G. Grubaugh

Jaromír Antoch

Kung−Yee Liang

György Terdik

John McDonald

Arthur Fries

Dennis Jennings

Mike West

Mark Dunn

Harri Kiiveri

Robert Stine

Zhidong Bai

Timothy Read

Wolfgang Härdle

Michael Hale

Lisa Weissfeld

Cornelius Becker

Santiago Carvajal

Siamak Noorbaloochi

Minoo Niknian

Anthony Kuk

Chen−Hsin Chen

Jee Kim

Michael Conlon

Kaizo Beltrão

Wolfgang Schäfer

Robert Chew

Luigi Pace

John Shelton

Yih−Fang Huang

Ruey Tsay

Jack Gambino

Jairo Arrow

Wenceslao Gonzalez−Manteiga

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Kathryn Chaloner

Akimichi Takemura

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Glenn Galfond

Steven Fahrenholtz

George Runger

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Miriam Goldberg

Yi−Ching Yao

Milan Ty..ler

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Alexandre Tsybakov

Sheryl Bartlett

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Stephen Peters

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Jerry Halpern

Chih−Ling Tsai

J. Brian Gray

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Barbara Alvin

Werner Goldmann

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Christhard Pilder

Daniel Zelterman

Yoshimichi Ochi

Kutyar Madhavrao

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Javier Cabrera

Benno Fellenberg

Pieter Kroonenberg

Jerry Lewis

David Fairley

Mary Ferdon

Pedro Rodríguez Esquerdo

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Michael Budde

Anestis Antoniadis

Amanda Golbeck

Colin Muirhead

Michael Wächtler

V. A. Samaranayake

Shun Chen

Katarina Jusélius

Stephan Kolitz

Lawrence Pettit

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Robert Parker

Shirley Mills

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Michael Andrew

Julio Singer

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Paul McClellan

James Stock

David Edelman

A. Vermulst

Ashot Kakosyan

Michael Wenocur

Peter Westfall

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Anu..ka Ferligoj

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Ya'acov Ritov

Wolfgang Schmid

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Chinnaphong Bumrungsup

Maciej Wilczyñski

Robert Mauritsen

Domingo Docampo

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Arlette Dubois−Besnard

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Abbas Kezouh

Robert Kunst

Tamás Szentimrey

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Michael Stein

Anthony Davison

Jeffrey WilsonMyung−Hoe Huh

Michael Hogan

Siu Ho

Seung−Ho Lee

Othman Abu−Libdeh

Terry Rudolph

Stephen Hillis

Roland Pettersson

Yosu Yurramendi

Walter Thurman

John Schollenberger

Smail Adjabi

Rafael Molina

Fabien Campillo

Terry Therneau

David Henry

Alfredas Basalikas

Maureen Lahiff

Nelida Ferretti

Babatunde Ayeni

Dhafir Rashed

B. Y. Thanoon

Ali Hadi

Alan Welsh

Donald Phillips

B. Chandrasekar

V. Sampathkumar

Alladi Subramanyam

Manel Wijesinha

Subhabrata Chakraborti

David Banks

Robert Tibshirani

Georgia Roberts

Roman Viveros−Aguilera

John Skalski

Robert Fountain

Betsy Becker

KyungMann Kim

Huang Hsu

Shlomo Sawilowsky

Phillip Chapman

Nicholas Lange

Haragopal Vajjha

Kalimuthu Krishnamoorthy

B. R. Moulton

A. C. MacKinlay

Krzysztof Ostaszewski

Dayanand Naik

Fah Gan

Joseph Marhoul

Deborah Burr−Doss

Shane Pederson

Steven Rigdon

Roberto Padua

Preston Dinkins

Dietrich von Rosen

C. J. Simon

Hermann Hoch

Gordon Smyth

Lennart Nilsson

Cyntha Struthers

Glen Satten

Dirk Moore

Susan Holmes

Daniel Heitjan

Jan van Schaik

Khosrow Dehnad

Michael Jordan

James Hodges

Robert McCulloch

Hisham Hilow

Kees Zeelenberg

Howard Proskin

Vassilis Giakoumakis

David Ospina−Botero

Joseph Pigeon

Jean−Pierre Lacombe

A. Alonzo

Sutaip Saw

Fahoum Saleh

Nikolaos Farmakis

Volkan Akman

Cornelius Gutenbrunner

Malik Malik

Joan Staniswalis

Daya Nagar

Daniel Wardrop

Nathaniel Schenker

Clifford Pereira

Dennis Wisniewski

Henrik Ramlau−Hansen

Lloyd Jaisingh

Milorad Kovacevic

Richard Carson

Stefan Huschens

P. J. de Jongh

Debabrata Ray

C. C. P. Wolff

Patty Solomon

Hannelore Liero

Christopher Aston

Vishnu Kant

Peter Erward

Emmanuel Lesaffre

Alun Thomas

Mark Segal

Richard Deveaux

Yong Lee

Chul Ahn

Susan Sanchez

Richard Meltzer

Stephen Haslett

Henri Gwét

Beatrice Baldwin

Kurt Hornik

Jayendu Patel

Richard Highfield

Luis Alberto Manas−Anton

James Bock

Christine Graffigne

Peter Munson

Brian Thelen

Gunnar Rosenqvist

Gerald Dorfman

Alan Belstock

Jens Grüger

Diane Duffy

El−Houssainy Rady

Shyamala Nagaraj

Dieter Hauschke

Gerold Petritsch

George Young

Sheela Deo

Jan Beran

Nunta Vanichsetakul

Gösta Hägglund

Katherine Ensor

Amina Saleh

Siva Sivaganesan

Miodrag Lovric

Ann Gould

A. John Bailer

Richard Lynch

Mohammed El−Saidi

Edsel Pena

Alan Lippman

Chris Gennings

Pui Lam Leung

Michael Sørensen

Melinda Harder

Alain Latour

Inchi Hu

Zdzislaw Porosinski

Peter Wakker

Soon−ki Kim

Prabir Bhattacharyya

Mohan Delampady

William Rayens

David Holiday

Jacqueline Meulman

Vera Pawlowsky−Glahn

Patricia Zybert

Dale Kraemer

William Barlow

R. Suresh

Sushama Bendre

Ernst Unterluggauer

Claus Weihs

Byeong Uk Park

Christine Thomas−Agnan

Lawrence Moulton

Peter van der Heijden

Wendell Jones

David Venzon

Michael Powers

Lingo Hwang

Glenn Heller

David SessionsMark Steel

Sharon Navard

Heiko BecherHa−Hyun Jo

J. Dijkstra

Annick Leroy

Jer−Yan Lin

Dani Gamerman

Jorge Aragon

Trivellore Raghunathan

Euyhoon Park

John Thomas

Raid Amin

Katarina Ko..melj

Calvin Williams

Kun−Liang Lu

Jose (Pepe) Quintana

Mohammed Alam

Tatsuya Kubokawa

Chung−Chung Wu

Sung Ahn

William Veloce

José Garrido

Mei−Miau Wu

Jan Van Rijckevorsel

Elisabeth Gassiat

Ronald Wasserstein

Eduard Kolomietz

Konstantinos Zorgafos

Sucharita Ghosh

Christian Robert

Michael Lavine

Theodore Micceri

Gyu Jeong

José Gallo

Hyung Lee

Paul Vos

Margaret Copenhaver

Alfonso Gordaliza

David Kaplan

Isabel Llatas

David Morris

David Firth

Pronita Sharma

Claudia Klüppelberg

Jens Breckling

Diane Throop

Jahja Umar

Tony Fung

Pentti Haara

Naveen Bansal

Ashok Shanubhogue

Mark Knowles

Min Xie

Arup Bose

George Bretthorst

Lynn Gale

Abraham Israels

Samia El−Arishy

Sophie Peña

Ahmad Akhter

R. Neal

Cajo ter Braak

Stewart Anderson

Gilberto Paula

Nino Kordzakhia

Mortaza Jamshidian

Ahmed Bousbaine

Clifford Sutton

Larry Wasserman

Christopher Williams

Patrick DeFeo

Henry Slotnick

Marta Garcia Ben

Nola Tracy

Ewart Shaw

Ramakrishna Shenoy

Khandaker Mansur

Greg Allenby

Wolfgang Bischoff

Roger Davis

John Richard Wilmoth

Jörg van Hoorn

Inna Kirillova

Marian Baumler

Richard Rossi

Taoufik Zoubeidi

Carl Schwarz

Hyune−ju Kim

Somnath Datta

Sang Kim

Donald Trost

Pichai Intarapanich

Ibrahim Ibrahim

Shigeru Iwata

Walther Neuhaus

Saeid Amini

David Shore

Marie Bodwick

Frederick Spiring

Patrick Tendick

João Mexia

Sanjay Arora

Gordon Dodds

Matthew Clark

Nora Donaldson

Wai−Yin Poon

Donald Hoover

Emmanuel Awuku−Darkoh

Joseph Ibrahim

Brian Marx

Robert Ahlbrandt

Burton Mguni

Emma Frazier

Madhuri Mulekar

Kamel Rekab

Mikelis Bickis

Timothy Hesterberg

Anthony Entsuah

Marc Aerts

Eduardo Engel

Irene Ferreira

Phillip Norton

John Culverhouse

Seyed Seyedghasemipour

Joo Kim

Nicholas Polson

Laurie Meaux

Linda Sharples

Christos Koukouvinos

Belén Sánchez Valverde

Subhash Kulkarni

Corazon Dating

Eeke van der Burg

Siu−Ming Tam

Paloma Sanz

Michael Jubb

Paulo Hollanda−Sales

Adelbar SampaioPenny Brasher

Brett Presnell

Achilles Venetoulias

Jiayang Sun

Guorui Bian

Philip RamseyKatrina Sharples

Ulhas Dixit

Steven Ramsier

Man−Suk Oh

Dipankar Bandyopadhyay

Cornelis Van Montfort

Yaohua Wu

Somesh Kumar

Julio Angel Pardo

David Bradley

Ana Maria Tabunda

Peter Craig

P. Vellaisamy

Kevin Donegan

Andrea Gubser

Charles Heckler

Bruce Koons

José Ramírez

Danyu Lin

Ian Dryden

Karen Young

Necip Doganaksoy

Tsai−Hung Fan

Xin Tu

Christiana Drake

Ali Barakat

Mohammed Ghurra

Chansik Hong

Chong Man Kim

Miin−shen Yang

Xu−Ming He

Brenda Gunderson

Zen−Yi Chen

Alphonse Amey

Jeremy Weedon

Shirley John

Yuehua Wu

Sylvia Lenz

Anwar Hossain

Indushoba Chengalur−Smith

John Cologne

Raymond Adams

Miguel Delgado

Ole Hesselager

Robert Hoekstra

Jan Koster

Robert Davis

Mark Handcock

Chyi−Hung Hsu

Patrick Florchinger

Lue Ping Zhao

Claudia Czado

Iris Yeung

Matthias Kudra

Rahim Moeanaddin

Duncan Atwell

Fabrice Gamboa

Maiwei ChenJ. Jack Lee

Robert Weiss

Olaf Gefeller

Valen Johnson

John Kolassa

Joseph Chang

William Kahn

Kimberly Hockman

Won−Chin Huang

Pei−San Liu

Dale Hathaway

Freddy Reimann

Paul Murtaugh

Catharina Bijleveld

Michael Laviolette

George Karolyi

Yow−Jen Jou

Jürgen Böttcher

John Bunge

H. Thoma

Philip Kokic

Kiseok Lee

Bahjat Qaqish

Paul Kvam

Hendrik Lopuhaa

Irène Gijbels

Kathleen Propert

Jacira Carvalho da Rocha

Hyung−Tae Hwang

Pao−Sheng Teng

Jeffrey Albert

Diana Whistler

Kyung−Sung Kim

Narbik Manukian

Marinus Van der Leeden

Richard Anderson−Sprecher

Bernardus Bettonvil

Hang Keun Ryu

Zhao Ouyang

Amar Nath Gill

Florinda Capone

Jaimie Hebert

Francisco Pino

Yong Hao

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Michael Rozum

Donald MercanteAndrew Cairns

David Lee

Lynn Short

Sharon−Lise Normand

Stef Van Buuren

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Seh−Jin Chang

J. P. Kairys

Simon Young

Diana Kelmansky

Shande Chen

David Madigan

C. Venkatakrishnan

Ka Ho Wu

Keying Ye

Kenneth Nordström

Sally Morton

Kim−Anh Do

Piotr Bajorski

Barbara Kuzmak

Jian−Feng Yao

Rashad Amin

Jan Hanousek

Peter Swank

Jeanie Weng

George Watson

Petros Dellaportas

Lillian Lin

Ricardo Cao Abad

Lawrence Joseph

H. Choe

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Ana Bianco

Guillermo Marshall

Lutz Dümbgen

Erniel Barrios

Ping Sa

Mariza de Andrade

David Agard

Rong Chen

Younshik Chung

Richard Brophy

Nasrolah Bashardoost

Lakshminarayan Choudur

Binod Joshi

Maria Lina Vicente

Hong Zhang

Nhu Le

Rita Engelhardt

Vidyagouri Prayag

Jian−Shen Chen

Christopher Schmid

Jörg Buchholz

Jelloul Allal

Lewis Van Brackle, III

Kenneth Gray

Sara Wheeless

Ronald Thompson

Werner Müller

Silvia Ferrari

Jürgen KüblerMartin Kidd

Thomas Regan

David Lansky

Ronald Barry

Ivan ..e..ula

Catriona Queen

Steven Gilmour

Suzana Druck

Robert Capen

Hans Boscher

Richard Middleton

Laurence Robinson

Iris Zöllner

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A. E. Sorour

Daniel Mundfrom

Luis Felipe Figueroa

Sheikh Rahman

Sneh Gulati

Jun Liu

Jo..e Rovan

Gyo−Young Cho

Young Lee

Kishore Gawande

Dong Kim

Parichehr Hemyari

Karen Gold

Yuhwen Soo

Paula Brito

Mark Payton

U. Lavaraj

Wolfgang Scherrer

Ian Marschner

Junfang Li

Etienne Trauwaert

Andre Kraut

Jay Breidt

Yuan−Chin Chang

Chang−Ha Hwang

Stuart Coles

M. Rezaul Karim

Enivaldo Rocha

Andrew Lawson

Sung Suk Chung

Getulio Silveira

Yongxiao Wang

João Manuel Andrade e Silva

Marek Malý

Dennis Walsh

John Orazem

Marcia Ciol

Melinda Drum

Ursula Krämer

Jay Ver HoefRon Lamb

N. Balakrishna

Marianne Rose

Eric Jacquier

Kun He

Ho−Jan Chang

Neeraj Misra

Robert Lee

Dalisay Maligalig

Shahjahan Khan

David Hanagal

Ming−Long Lam

Robert Strawderman

Nikolay Korolev

Ping Yan

Sungsue Rheem

Yoon Kim

Jinnam Jo

Therese Pigott

Jonathan Wakefield

Patricia English

Cindy Christiansen

Joseph Sucher

Chao Wang

Nelson de Oliveira

Bohumír Procházka

Biao Zhang

Elizabeth Sheppard

Lloyd Mancl

Shubha Dhavalikar

Marcel Massimb

Camlin Tierney

Victor Lo

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Alain Franc

M. Isabel Fraga Alves

Chun−Houh Chen

William Rosenberger

Matthias Albrecht

Daniel JanasYoussef Benghabrit

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Paul Savarese

Keith Selander

Lynn Friedman

Cécile Hardouin

Christl Donnelly

Mohammed Quassim

Raul Cano

Christoph Maier

Jushan Bai

Rianto Djojosugito

Chung−ki Min

Xiaojing XiangNarinder Nangia

Joseph Croos

Juan Manuel Rodriguez Poo

Yong Wang

Wanyun Liu

Guy Nason

Andreas Christmann

Sindee Sutherland

Marc Pijnenburg

Arminda Siqueira

Chiranjit Mukhopadhyay

Rolf Larsson

Tor Jacobson

Ana Quiroga

Anthony Sawyer

Rosa María Inga Santiváñez

Kwee Yeo

Bruno Sanso

Wilhelm Sauerbrei

Bernard Bercu

John Borkowski, Jr.

Brani Vidakovic

Raul Macchiavelli

Nadarajah Ramesh

Yoshihiko Konno

Martin Sharry

Gyung−Soo Han

Willard Braun

Mohammad Raqab

Guo−Wen Sun

Michael Mosier

Robert Couchley

Salilesh Mukhopadhyay

Mohammad Al−Saleh

Susan Rosenkranz

Annick Bérod

Günter Schwarz

Leonard Hearne

Prasad Ram

Abdelaziz El Matouat

Spario Soon

Barbra Richardson

Rob Hyndman

Marianne Huebner

Lasse Koskinen

Mei−Jih Gee

Felix Abramovich

Kenneth Frank

Tim Keyes

Patrick Groenen

Chris Rogers

Emilia Sakurai

Jonathan Forster

Robert Steiner

Randy Bartlett

Alejandro Frery

Pascal Lavergne

Krzysztof Podgórski

Vincent Carey

Thorsten Grahn

Yan Wang

Brant Deppa

Chao−Wen Lu

Vassilios Vasdekis

Peter Meyer

Fengchun Peng

Denise Botter

Song Chen

Gustavo Santos García

Frank Anbari

Arusharka Sen

Xiaohong Chen

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Christian Posse

Ramesh Tripathi

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Ahti Niinimaa

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Rivo Rakotozafy

Stella Grosser

Yousceek Jeong

Daniel Coleman

Debra Hydorn

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Michael LaValley

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Kyoungah See

Holger Drees

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Chi−Hung Hsieh

James Poole

Mark Cowan

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Tai Moon

Sonia Castillo

Jorge Adrover

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Celesta Ball

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Christian Musso

Darcy Mays

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Richard Cook

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Digambar Shirke

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Ivan Mizera

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Rainer Dyckerhoff

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Laurence Magder

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William Epler

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Joe Sullivan

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Ho Luk

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Yin−Jung Chang

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Shiquan Liao

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Li Hsu

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James Hilden−Milton

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Jeffrey Solka

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Shu−Jian Chen

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Richard Kloser

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Maxwell Rhee

Subhashis Ghoshal

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Edward Malthouse

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Susmita Datta

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Hongzhe Li

I−Ming Liu

Suresh Sharma

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Abderrahmane Jarrar−Oulidi

Xiaofeng Gu

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Thanavath Phonvichai

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Hong Chang

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Li−Sue Chen

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Young Joo

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Jinsan Yang

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Aparna Anderson

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Ding−Geng Chen

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Amy Biesterfeld

Hong (Laura) Lu

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Wei Zhu

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Don Faxon

Shumei Wei

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Hongwei Li

Claudia Becker

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Joseph Pultz

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Alexandra Kapatou

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John Kittelson

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Elisabeth Umble

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Daniel Sargent

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Maria del Carmen Pardo

Gunhee Lee

Leo Korn

Melissa Smith

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Grzegorz Rempa..a

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Polycarp Chigbu

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Daniel Larose

Laurent Bordes

Sumalee Givaruangsawat

Yan Jia

Matthew Rotelli

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Xiang Zhang

James Smith

Kuo−ren Lou

Xiangyi Meng

Akihiro Inoue

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Efstathia BuraDongping Fang

Daniel Scharfstein

Heather Sasinowska

James Lynch

Sangita KariaT. P. M. Fareed

Thomas Richardson

Jeffrey Currie

Alvaro Faria

Mirta Bensic

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Valérie Monbet

Mary Meyer

M'hammed Baba Harra

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John Lawrence

Angela Neff

Jeffrey Vest

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Jack Vevea

Ty McClure

Terri Byczkowski

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Anne−Laure Fougères

Ameziane Cherfouh

Mohammad Matin

Hiroshi Kurata

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Stefan Lauer

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Jérôme Saracco

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Marina Vannucci

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Eric Ross

Philippe Callier

Marc Genton

Alice Richardson

Jan Picek

Ela Toscano

Justine Shults

Margaret Posch

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Elsie Valeroso

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Minzhi Liu

Chih−Yi King

Yu−Chuang Huang

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Ulrike Grömping

Weiming Li

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Pantelis Vlachos

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Sofia Paul

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Tze−Man Ng

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Oh−Gon Chun

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Hildete Pinheiro

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Jason OsborneMurali Niverthi

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Linda Yau

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Frank Castronova

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Juanjuan Fan

Valentin Patilea

Klaus Brachmann

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Sonia Mazzi

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Omar Assili

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Torsten Hilker

Verena Schultze−Pawlitschko

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Anthony Moran

Eloi Kpamegan

Fan Zhang

Elisabeth Saers Bigün

Luis Gil−Alana

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Timothy Johnson

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Timothy Oké

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Leslie Elliott

Suzanne Sommer

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Li Ping Liu

Marilyn Agin

Jaeho Jang

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Marc Joannides

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Jesús Rodríguez−Rodríguez

Matthew Wood

Grietje Holtrop

Naser Elkum

Roger Bilisoly

Biman Chakraborty

Qiuhu Shi

Vivek Ajmani

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Yew−Haur Lee

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Nidhan Chaudhuri

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Chih−Chien Yang

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Hua−Yun Chen

Stefan Mattsson

Paul Fearnhead

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Kevin McDaid

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Samuel Wu

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Bernard Cerutti

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Helen Clough

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Steven Davies

William Cade

Sai−Hsueh Chang

Chiara Sabatti

Hippolyte Fofack

Kimberly Swygert

Dario Gasbarra

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Karl−Friedrich Landau

Ingrid Van Keilegom

Josep Maria Mateo−Sanz

Anil Aranha

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Mark Scarr

Olaf Berke

Gebrenegus Ghilagaber

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Robert Randall

Daqing Guo

Omar Aguilar

Vincent Goulet

Brent Shelton

Chang Yu

Christine DiStefano

Dina Schreinemachers

Holger Hebben

Laurent Cavalier

László Viharos

Ying Zhang

Alan Gous

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Edith Seier

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Jacinte Jean

Christian Gieger

Georgeta Natasa Macovei Forte

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Herbert Lee

John Ritz

Yijun Zuo

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Yung−Hsin (Alex) Chien

Meehyung Cho

Claudio Agostinelli

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Manuel Angel Dominguez−Toribio

Andreas Stich

Kingshuk Roy Choudhury

Ashwini Mathur

Brian Habing

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Carlos Diaz−Avalos

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Marcus Bauer

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Silvia Ojeda

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Lise−Anne Karen Putnam

Ralitza Gueorguieva

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Cristina Butucea

Ida Ruts

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Jin−Ting Zhang

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Laura Kubatko

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Aniko Erdey−Gruz

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Matevz Bren

Victoria Neagoe

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Chan Park

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Dahlia Nielsen

Kerby Shedden

Alex Gitelman

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Scott Komo

Anthony Crisalli

Michael Elliott

Marco Reale

Cathal Walsh

Chenting Su

Dimitris Karlis

Friedrich Leisch

Axel Clausen

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Pia Larsen

Elena Martínez

Shaocheng Liu

V. Swaminathan

Franz Quehenberger

Marie Linder

Paul Gendron

Michael Jähnisch

Charalambos Tsairidis

Lise Bellanger

Andrew Roddam

Roland Averkamp

Yanyuan Ma

Luiz Peternelli

Dollena Hawkins

Arne Kovac

Eugeny Ponikarov

Joe Musial

Michael Wolf−Branigin

Ekkehard Glimm

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Daniel Eno

Marks Nester

Jacob Laading

Carmen Mak

Michael Eichler

Ibrahim Hugari

Xiao−Sheng Lu

Michael Lee

Ming−Yi Hu

Bashir Yakasai

Gavin Melville

Tianxi Cai

Marty Smith

David Gamble

Supratik Roy

Vitaliana Rondonotti

David Reineke

John Newell

Nikolaos Sfikas

Hemangi Kulkarni

Sokbom Han

Steven CrunkDavid Khabie−Zeitoune

Breda Munoz−Hernandez

Hongtu Zhu

Chanseok Park

Bonnie LaFleur

Timothy Ramsay

Alan Safer

Hsiu−Khuern Tang

Vincent Couallier

Mikko Sillanpää

Debashis Ghosh

Dnise Benton

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Sonja Kuhnt

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James Gullen

Gregory Warnes

Joanne Chia

Tihomir Asparouhov

Yoshihiko Nishiyama

Wai Ho

Jason Bond

David Elashoff

Galit Shmueli

Amparo Baíllo

Epimaco, Jr. Cabanlit

Sathyakama Sandilya

Yuzo Maruyama

Manisha Desai

Michal Friesl

Matias Salibian−Barrera

Dimitris Fouskakis

Long Ngo

Run−Ze Li

Thomas Bengtsson

Dale Usner

Haritini Tsangari

Dirk Ocker

Cruz Velasco−Gonzalez

Jill Richie

Salaheddine Aji

Vanessa Didelez

Thomas Bregenzer

Jill Barker

Rahman Famoosh

Mark Leeds

Euloge Kpamegan

Zilvinas Kalinauskas

Jeremy Oakley

Yaning Yang

Ana Villar

Mark Hamner

Jafar Ahmadi

Anna Legedza

Jan Parner

Roberto Puch−Solis

Danh Nguyen

Robert Noble, Jr.

Anja Struyf

Erwin Stampfer

Frédérique Letué

Eric Järpe

Valentina Misura

Robyn McClelland

Peter Hoff

Laurent Ferrara

Nkem−Amin Khumbah

Hyun−Joo Kim

Steve Horvath

Frederick Strale, Jr.

Alessandra Brazzale

Jason Roy

Andriy Andreev

Jun Xie

Laura Piersol

James Gleaton, Jr.

Nora Gürtler

Simon Shaw

Jyoti Devkota

Vipul Devas

Adel Mohammadpour

Minka Jonker

Cameron Alsup

Anna Marshall

Grace Yi

Ernesto San Martín

Stefan Van Aelst

Christophe Pouet

Yontha Ath

Susan Orbe

Jeffrey Morris

James Stamey

Gudrun Freitag

Amy Herring

John Carson, Jr.

Adao Trindade

Ernst−Jan Wit

Jean−François Coeurjolly

Catherine Vermandele

Krista Breithaupt

Colin Lewis

Pieter van Gelder

Armin Roerhl

Anne−Catherine Favre

Agnes Hamon

Kevin Robinson

Mattias Villani

Hamid Pezeshk

Rahul Dodhia

Ian Clough

Chau Thach

Jane Liu

Martin Axelson

Shu−Hui Yu

Gary Collins

Kim Hyon−Jung

Alexander Iksanov

Kimberly Maier

George Streftaris

Jan Svato..

Karla Hemming

Christopher Holmes

Sebastian Domhof

Alex Gonzaga

Julie Douglas

Bettina Kulle

Andrej Blejec

Scott Compton

Leonardo Fabbroni

David Bashtannyk

Werner Laumann

Roxana /Roxana Ion

Nicholas Eugene

Nicolas Locantore

Joseph Beyene

Kepher Makambi

Alexander Morton

Binbing Yu

Felicity Moodie

Alexandra Schmidt

Tommi Härkänen

Frank Kiefer

Ruth King

Nadezhda Krasij

Arnak S. Dalalyan

Jacqueline Kiffe

David Henderson

Rida Moustafa

Amrut Champaneri

Francisco Rojas

Elena Polverejan

Nina Kajiji

Lei Sun

Eric Chicken

Jacqueline Lok

Vadim Kutsyy

Guoguang Ma

Nandita Mitra

Gorana Capkun

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Alfred Kume

Ricardas Krikstolaitis

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Anne−Cécile Goderniaux

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Karen Andrews

Yahong Peng

Sayan Mukherjee

Per Gösta Andersson

Zhong Guan

Ye Hua

C. Nampoothiri

Tim Friede

M. João Martins

Normen Schenk

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Cuirong Ren

Ayse Ulgen

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Michele DiPietro

Hoi−Jeong Lim

Rongcai Li

Athanasios Micheas

Barry Monk

Dejun Tang

Kathy Peterson

Fikria Chaouki

Lang Li

Jonathan Taylor

Serge Guillas

Adam Hafdahl

Xiaogang Su

Xiaoming Sheng

Rong Huang

Aleksandar Dogandzic

Borek Puza

Stefan Schipper

Zengri Wang

Ji Meng Loh

Gilles Blanchard

Agustín Mayo−Iscar

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Jean−Philippe Vert

Alena Fialová

Pavel Gapeev

Heliton Tavares

Mark Gittoes

J. Lockwood

Haiyan Huang

Dong Yu

Vanja Dukic

Young Ju Suh

Robert Cribbie

Hsun−chih Kuo

Owen Shoemaker

Nicola Chapman

Faouzi El Bantli

Rukiye Dagalp

Ethan Lange

El Mokhtar Chikhi

Sebastian Paris Scholz

Tillmann Krahnke

Bryan Scott

Chandranath Pal

Shu−Pang Huang

Karin Halupczok

Paul McDonnell

Jukka Ranta

Fridtjof Thomas

Mark Woolrich

Scarlett Bellamy

Kathleen Morley

Janelle Erickson

Bernd Schmid

Gong Tang

Lisbeth Hansson

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Karen Crawforth

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Jean−Michel Loubes

Holmes Finch

Simon Davies

Huaxin You

Anna Valeva

Katherine Hunt

Leming Qu

Haihong Zhu

Xiaohui Luo

Bennett Otieno

Dylan Small

Reinhard Furrer

Alyaa Zahran

Niko Kaciroti

Ke−Jian Yan

Hon Keung Tony Ng

Peng Zhang

Wei Pan

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Michael Greiffenhagen

Earnest Foster

Marcelo Moreira

Rafal Kustra

Kristen Ryding

Ernst Glatzer

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Susan Gooding

Tristan Massie

M. Rahman

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Mike Cheung

Cecília Azevedo

Esa Ollila

Cong Han

Parviz Nasiri

Natalia Bochkina

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Grace Chiu

Chiung−Yu Huang

Jong−Min Kim

Heather Crosby

Myrtille Vivien

Ryan Gill

Xiaoyin Wang

Angel Martinez

Eunju HwangJayson Wilbur

Christopher Malone

James Miller

Matthew Facer

Ricardo Velazquez

Elizabeth Brown

Sining Chen

Palanikumar Ravindran

Eshetu Wondmagegnehu

Adrian Barnett

Chan−Hee Jo

Inyoung Kim

Brenda Kurland

Ilana Belitskaya−Levy

Min Wu

M'Hamed Kadri

Driss Oraichi

Mark Huiskes

Alexander Schacht (birthname Siemer)

Messan Amewou−Atisso

Barbara Olbermann

Louis Mariano

Leo Cheung

Tzu−Ming Chu

Samuel Müller

Ilya Lipkovich

Yuchieh Yang

Seok Oh Jeong

Marc Coram

Ivet Pitrun

Douglas Schaubel

Evrim Oral

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Miroslav Risti..

Herbert Thijs

Daniel Assoulin

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Hassan Reza

J. de Klerk

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Davy Paindaveine

Young−Sun Lee

Tanya Henneman

Greet Pison

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Shagufta Aslam

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Woojin Chang

Michael O'Kelly

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El Hachmi Hammou

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Xiao Song

Jiuzhou Wang

Yuqun Luo

Yanping Wang

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Marc Suchard

Dana DraghicescuHua Tang

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Alexander de Leon

Zeynep Kalaylioglu

Michael Black

Irshad Arshad

Daniel Stancescu

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Constantinos Petropoulos

Wen−lei Liu

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Bo Lu

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Danqing Cai

Siong Lin Ho

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Stephen Yeung

Sarah Hartz

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Ming Lei

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Christa Carter

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Parminder Singh

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Hana Jane..ková

Ruta Levuliene

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Peilin Shi

Thorsten Pauls

Jake Oleson

Russell Steele

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Halfdan Grage

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Xi Zhou

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Michael Epstein

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Alexia Iasonos

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Tian Zheng

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Bo Markussen

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Zainudin Arsad

Wen Cui

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Xiang Gao

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Lars Forsberg

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Chirakkal Haridas

Elena Landaburu

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Jonathan Marchini

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Ulrich Kathöfer

Petr Fran..k

Carmen Murillo

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Xuefeng Li

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Stephen Ganocy

Huiping Jiang

Krista Cohlmia

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Richard Charnigo

Hizir Sofyan

Amy Anderson

Na Li

Chad Scherrer

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Ji Zhu

Richard Swartz

Said El Melhaoui

Kosuke Imai

Dazhe Wang

Liang Li

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Sofia Olhede

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Daniela Nitcheva

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Yongsung Joo

Young−Ju Kim

Amy Thoreson

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James McDermott

Winfried Theis

Suhwon Lee

Jeffrey Thompson

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Edison Tito

Yu−Yang Lu

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George Tseng

Sunduz Keles

Haonan Wang

Carl Scarrott

Debbie Hahs

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Yan Li

Fabio Rapallo

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Mary Kelley

Rafael Gutierrez

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Stéphane Molla

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Dan Hedlin

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Junfeng Liu

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Cassandra Arroyo

Ningping Liu

Ajita Gopikrishnan

Weiwei Wu

Xueqin Wang

Pierre Lafaye de Micheaux

Piotr Fryzlewicz

Finn Lindgren

Cheng Peng

Simona Korenjak−Cerne

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Amy Umbach

Gardar Johannesson

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Zekarias Berhane

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David Mease

Thomas Fender

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Yufeng Li

Justin Davis

Martha Nason

Jesus Palomo

Aurore Delaigle

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Pralay Mukhopadhyay

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Chuan Zhou

Eun−Ha Choi

Guy Brock

An Jia

Diane Miller

Mohand Feddag

Carlos Cuevas Covarrubias

David Warton

Michael Carlson

Christian Tallberg

Jochen Einbeck

Bastiaan Kleijn

Horst Jordan

Christian Boudreau

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Torsten Hothorn

Schmidt Rafael

Agus Salim

Lihong Qi

Shane Whelan

Rongwei Fu

Cameron Parker

Lan Kong

Humberto Gutiérrez−Pulido

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Gilbert Shanga

Christian Rau

Choong Tze Ghua

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Anja Busse

Woncheol Jang

Jung−Ying Tzeng

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Yu−Jau Lin

Bin Wang

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Sara Taskinen

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Pulak Ghosh

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Andre Rupp

Sébastien Van Bellegem

Sergei Pond

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Jake Olivier

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David Todem

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Dong−Yun Kim

John Byrne

Alexei Teterukovskiy

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M Brookhart

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Fang Yao

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Xiao Zhang

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Yong Cai

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Heping He

Ying Wei

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Lei Liu

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Huizhen Guo

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Gui−Shuang Ying

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Hyun Kim

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Shuxia Sun

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Haiming Guo

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Quan Hong

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Jian Yu

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Qiong Wang

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Lihua Chen

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Pei−Hua Chen

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Yi (Derek) Ye

Rong Zou

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Fei Ji

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Yang Song

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Li Liang

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Maria Caterina Bramati

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Yi Lu

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Haolan Lu

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Young−Ku Choi

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Hae−Ryoung Song

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Manuela Buzoianu

Mahtab Munshi

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Dongmei Zhai

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Sujung Choi

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Bradford Johnson

Zhongming Huang

Fanhui Kong

Jennifer Hu

Maoxia Zheng

Soonil Kwon

Jiacheng Yuan

Ying Zhao

Huajiang Li

Hyuna Yang

William Stewart

Ling Xu

Wei Yue

Min Chen

Peter Ender

Tae−Kyoung Yang

Mahbub Latif

Taeryon Choi

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Simon Jones

Chih−Chien Tsai

Yaqian Guo

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Hai Xu

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Hae Kyung Im

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Udo Schwingenschlögl

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Evgenia Rubinshtein

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Soyoung Ha

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Giuseppe DiCesare

Arindam RoyChoudhury

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Hao Zhou

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Jing Yi

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Hassania Hamzaoui

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Jia Li

Rodrigo Drummond

Bo Li

Weining Zhou

Guan Xing

Vladimir Ostrovski

Tianyue Zhou

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Michele Fatal−Weber

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Feng Liu

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Xian ZhouLudmyla Rekeda

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Sankar Bokka

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Tai−Tsang ChenElizabeth Purdom

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Arno..t Komárek

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Pamela Shaw

Gheorghe Luta

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Nan Zhang

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Ya Jin

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Lianming Wang

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Muhammad Arif Hussain

Julius Dasah

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Anita Thieler

Taiane Prass

Nelson Ray

Maria Grith

Marcus Nunes

Yin Xia

Sean Wang

Jiewei Zeng

Laura Azzimonti

Can Zhang

Yifan Xu

Audrey Boruvka

Valerie Felder

Fang Shao

Abhimanyu Gupta

Moudar Soumaya

Karolina Krzemieniewska

Jiay Hou

Maria Konstantinou

Arthur White

Michele Aquaro

Kimberly McGarrity

Masanao Yajima

Vasiliki Vitoratou

Paul Bui Quang

Reza Ramezan

Luis Alexander Crouch

Wonyul Lee

Atul Mallik

Birk Schütz

Jared Foster

Gleb Perelman

Joshua Greene

Xiao Tong

Jinae Lee

Fangpo Wang

Carlos Valencia

Shawn Mankad

Brandy Ringham

Liwei Wang

Harrison Quick

Wen−Hsi Yang

Hang Fan

Katherine Thompson

Kristen Gore

Lulu Cheng

Fei Ye

Yingbo Li

Emmanouela Repapi

Adam Lane

Erin Hamilton

Jérémie Riou

Stefano Castruccio

Daryle Olson

Marco Frei

Yue Zhao

Michel Montoril

Shiyuan Zhang

Yongping Yan

Emre Barut

Saranya Thongsook

Andreas Graef

Ran Duan

Jingyuan Liu

Birte Muhsal

Tatevik Ambartsoumian

Joe Smith

Narendra Kumar

Subhajit Dutta

Xinxin Zhu

Julia Palacios

Adam Ciarleglio

Yuling Feng

Maria Osipenko

Meng Qian

Kara Stevens

Vladimir Kovtun

Jing Xi

Santu Ghosh

James Pustejovsky

Grace Ngunkeng

Haci M. Akcin

Yanxi Xie

Min Wang

Alain Hauser

Zhongyi Yuan

Winston Lin

Jennifer Boyko

Sarah Taylor

Vibhav Bukkapatanam

Ashok Chaurasia

Davide Pigoli

Hyunkeun Cho

Tammy Harris

Elizabeth Gross

Michael Wierzbicki

Elizabeth Stone

Dao−Peng Chen

Robert Durrant

Yumn Yusoff

Zhipeng Huang

Mateen Shaikh

Christopher Nam

Xicheng Fang

Ivonne Jarick

Clément Chevalier

Qiaolin Chen

Camila de Souza

Jesse Raffa

Adela Martinez Calvo

Laurence de Torrenté

Junvie Pailden

Yu−Yi Hsu

Alejandra Vahnovan

Inder Tecuapetla Gómez

Qian Wu

Peisong Han

Hwanhee Hong

Gongjun Xu

Chih−Ying Lin

Wenrong Hu

Sungmin Kim

Elena Jirina Holl Ehrlich

John Lewis

Hamdy Mahmound

Aldo Medina Garay

Sunyoung Shin

Divinagracia Del Prado

Paige Maas

Joseph Ryan Lansagan

Miranda Michelle

Mathias Trabs

Yifat Lavi

Yijin Wu

Hanzhong Liu

Géraldine Laurent

Edwin Lei

Jordan Rodu

Simon Schneider

Gavin Lynch

Cheryl Flynn

Chintan Mehta

Caitriona Ryan

Lei Gao

Chel Hee Lee

Kay See Tan

Won Chang

Wei Dai

Inma Tur

Adam Combs

Bazoumana Kone

Samir Warty

Garth Tarr

Qijun Fang

Simon Knaus

Brian Franczak

Wenwen Tao

Wen Zhou

Grant Schneider

Yuyan Wang

Wei Zhao

Xiaoxiao Tang

Qian Liu

Zhuanyu Cai

Kemal Sen

Damien McParland

Chong Zhang

Måns Thulin

Quentin Berthet

Kanlaya Boonlha

Ahmad Alzaghal

Maximillian Chen

XingWu Zhou

Guohui Wu

Jianfeng Meng

Cheng Wenren

Meng Wang

Shuang Xia

Xinxin Shu

Mu Lin

Xiaofeng Zhou

Albert Sánchez Niubò

Yanming Li

Monthira Duangsaphon

Bradley Price

Oliver Galvis

Ronnie Pingel

Justin Chown

Jing Wang

M. Muge Karaman

Qiao Zhang

Xijia Liu

Feng Zhou

Tobias Voigt

Jianxin Wei

Wanjie Wang

Carla Howe

Anna Gersh

Hua Shen

Woosuk Kim

Oliver Voggenreiter

Simon Steinvorth

Niki Zumbrunnen

Jesús Alonso Cabrera

Zhen Xiao

Yunshun Chen

Alejandro Cholaquidis

Soojin Roh

Philip Ernst

Jenna Krall

Botond Szabo

Hans−Joachim Helms

Sydney Akapame

Baoyong Wang

Samuel Tumlinson

Yuan Xue

Patric Müller

Adam King

Alexandra Soberon

Emil A. Cornea

Qiang Sun

Rasha Elhage

Zhenke Wu

Christian Kerkhoff

Roman Pahl

Ran Ji

Shangbang Rao

Joseph Usset

Yiou Li

Damien−Barthélémy Jacquemart

Délia Gouveia Reis

Xiaoyu Liu

Diego Gallardo Mateluna

Jian Zhang

Qiurong Cui

Xiaoqing Niu

Fares Qeadan

Zhiying Qiu

Olusola Makinde

Lu Xiong

Ibrahim Abdelrazeq

Nirupam Chakrabarty

Rui Li

Xiaofeng Shi

Neo Christopher Chung

Xizhen Cai

Tze Choy

Maria Vronskaya

Fuqi Chen

Ruprecht Puchstein

Jiawei Yao

Andreas Knoch

Lu Gan

Peter Bubeliny

Tanina Foster

Qian Fan

Shan Yang

Maria Elena Rivera Mancia

Valerie Pare

Netsanet Imam

Sulafah BinHimd

Katherine Morris

Victor−Emmanuel Brunel

Siyu Qing

Utkarsh Dang

Matan Gavish

Yunzhang Zhu

Zhigeng Geng

Matthew Davis

Akiva Lorenz

Serge Sverdlov

Andrea Pierini

Wei Ma

Jose Figueiredo

Rajen Shah

Jack Knorr

David Dalpiaz

Sebastian Vollmer

Che Ngufor

Mengjie Chen

Paolo Zanini

Fatih Lau

Martina Mincheva

Smail Yousfi

Timothy Daley

Jane Lange

Dengfeng Zhang

Megan Smith

Xueyuan Cao

Akram Kohansal

Alan Simpson

Alessia Pini

Thomas Möbius

Antonio Daziario

Forrest Williamson

Jonathan Heydari

Yangyi Xi

Hee Min Choi

Jari Miettinen

Md. Abdus Salam Akanda

Miguel Colom

Yinglei Li

Sumanta Basu

Jack Sawilowsky

Zheng Ke

Francyelle Silva

Franziska Lindner

Ella Revzin

Claudia Leonardi

Cheng Zheng

Shu Yang

Haleh Ghaem Maralani

Sancar Adali

Jonas Wallin

Daniel Sussman

Senthil Girimurugan

Zhiyu Liang

Irene Vrbik

Catalina Vallejos

Emil Pitkin

Juan Shen

Sonia Dias

Joseph Kelly

Till Sabel

Moyi Li

Hayan Hasan

Vladimír Lacko

Shahin Tavakoli

Hella Timmermann

Gary Evans

Shengchun Kong

Ou Bai

Thomas Murray

Freedath Djibril Moussa

Yumou Qiu

Wanling Wong

Tobias Kley

Hsin−Hsiung Huang

Gregor Kastner

Jean−Paul Lucas

Elvynna Leong

Saâdia Rahmani

Kolyan Ray

Daniel Sabanés Bové

Danielle Sullivan

Jyotishka Datta

Souhaib Ben Taieb

Sungwook Kim

Amanda Koepke

Guoli Sun

Anirvan Chakraborty

Hanyu Yang

Ina Burghaus

Laura Yee

Reinhard Heckel

Chana Lowenstein

Dedy Dwi Prastyo

Himel Mallick

Lukas Martig

William Aeberhard

Farid El Ktaibi

Erika Fülöp

Bowen Song

Yudhie Andriyana

Alyssa Frazee

Martin Bezener

David Cox

Peter Bloomfield

Scott Zeger

Patrick Heagerty

Thomas Lumley

Petra Buzkova

1850 1900 1950 2000gradYear

Figure 13: The shortest path between Sir David Cox and Petra Buzkova, superimposed over the datastructure, using a bin size of 200. Individuals on the shortest path are labeled in large and blacktext and connected by dark green edges; all other individuals are labeled in small and gray text andconnected by light gray edges.

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are many individuals in that last decade. Indeed, the decade from 2005 to 2015 appears to be thedensest in this dataset in terms of acquisition of statistics degrees.

We could still improve upon Figure 13. Even though we may be primarily interested in understandinghow the path of interest is overlaid across the entire genealogical structure, we could, upon viewingthe entire structure, also develop an interest in nodes that are not on the path of interest but arerevealed to stand out among the rest of the genealogical structure. For instance, in Figure 13, it maybe of interest for us to determine the names of the few individuals who obtained their statistics degreesbefore 1900. Fortunately, within the plotPathOnAll() function, there is a variable animate that wecan set to a value of TRUE to create an interactive version of the figure that allows us to hover overindividual illegible labels and immediately receive their labels in a readable format. This interactivefunctionality comes from methods in the plotly package. The code below would create an animatedversion of Figure 13.

> plotPathOnAll(pathCB, statGeneal, statIG, "gradYear", bin = 200, nodeSize = .5,

+ pathNodeSize = 2.5, nodeCol = "darkgray", edgeCol = "lightgray", animate =

+ TRUE)

Branch parsing and calculations

It may be helpful for users to search through descendant branches of a certain individual to compareand contrast how a variable of interest changes along those branches. For instance, which descendingbranches of a particular soybean variety are producing the highest yields? Which branches are devel-oping new varieties in recent years? Which descending branches of a particular academic statisticianhave large proportions of students graduating from certain universities or countries? Which branchesare graduating new students in recent years? Which branches have the highest proportion of thesistitles containing a word of interest?

Answering these questions in a straightforward manner requires more than basic data frame manipula-tion: It also requires methods that can easily traverse parent-child relationships. The ggenealogy pack-age has two methods that can answer these questions using branch traversal. The getBranchQuant()

function can be used to track a quantitative variable across branches and the getBranchQual() methodcan be used to track a qualitative variable across branches.

Quantitative variable parsing and calculations

We can demonstrate the getBranchQuant() function by examining the quantitative variable “yield”across the descendant branches of the soybean variety A.K. To understand more about the output ofthis function, please consult the ggenealogy package documentation. In the code below, we removethe output column “DesNames” because it verbosely lists all descendant names, which is not necessaryfor this demonstration.

> AKBranchYield <- getBranchQuant("A.K.", sbGeneal, "yield", 15)

> dplyr::select(AKBranchYield, -DesNames)

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Name Mean SD Count NACount

1 A.K. (Harrow) 2932.154 197.0092 54 41

2 Illini 2856.667 210.7801 131 125

We see from the output that A.K. has two children named A.K. (Harrow) and Illini. Descendantsfrom the A.K. (Harrow) branch have a higher mean yield than the Illini branch (2932.154 versus2856.667). However, we should recognize that even though the branches contain a large number ofdescendants (54 and 131), most of these descendants did not come with a yield value (41 and 125). Asa result, the mean values were calculated from a small proportion of the descendants.

As another example, we can examine the mean graduation year for the “descendant” branches ofthe academic statistician David Cox. We know from earlier that David Cox had 42 “children”, so asexpected, the CoxBranchYear object below contains 42 rows. However, only 8 of these rows have any“descendants” of their own. As a result, only the first 8 rows of the CoxBranchYear object containbranch information.

> CoxBranchYear <- getBranchQuant("David Cox", statGeneal, "gradYear", 15)

> head(dplyr::select(CoxBranchYear, -DesNames), 10)

Name Mean SD Count NACount

1 Mark Berman 2007.200 6.340347 5 0

2 Henry Wynn 2005.333 7.637626 3 0

3 Rodney Wolff 2003.500 2.121320 2 0

4 Jane Hutton 2003.000 NA 1 0

5 Gauss Cordeiro 2002.643 7.722167 14 0

6 Peter McCullagh 2001.231 8.778645 26 0

7 Basilio Pereira 2000.647 10.074356 17 0

8 Peter Bloomfield 1999.918 11.707969 49 0

9 Adelchi Azzalini NaN NA 0 0

10 Amy Berrington de Gonzales NaN NA 0 0

In this case, we see that of the 8“children”of David Cox who had“children”of their own, Mark Berman

had the “descendants” (n=5) who have on average graduated the most recently (2007.200), whereasPeter Bloomfield has the “descendants” (n=49) who on average have graduated the least recently(1999.918). We see that, for all branches, there are no “descendants” who contain a NA value forgraduation year.

Qualitative variable parsing and calculations

The getBranchQual() function requires similar inputs as the getBranchQuant() function above, ex-cept that it also requires an input parameter called rExpr. The user must initialize this input parameterto a regular expression that can be applied to the column containing the qualitative variable of interest.The regular expression syntax must work on a data frame column of type character. It must be savedas a double quotation string, and any quotation marks within it must be single quotations. The termgeneal$colName must be used in the regular expression.

We can demonstrate the getBranchQual() function by examining the qualitative variable “thesis”across the “descendant” branches of the academic statistician David Cox. Since one of the primary

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research areas for David Cox was stochastic processes, we can determine if any descendant branchesof his “children” contained thesis titles that included the word “stochastic”.

> v1 = "David Cox"; geneal = statGeneal; colName = "thesis"; gen = 15

> rExpr = "grepl('(?i)Stochastic', geneal$colName)"

> CoxBranchStochastic <- getBranchQual(v1, geneal, colName, rExpr, gen)

> head(dplyr::select(CoxBranchStochastic, -DesNames))

Name CountTrue Count NACount

1 Peter Bloomfield 4 49 0

2 Basilio Pereira 1 17 0

3 Adelchi Azzalini 0 0 0

4 Amy Berrington de Gonzales 0 0 0

5 Andrew Roddam 0 0 0

6 Angela Mariotto 0 0 0

We see that only two “children” of David Cox had any “descendants” with thesis titles containing theword “Stochastic” (4 out of 49 “descendants” of Peter Bloomfield and 1 out of 17 “descendants” ofBasilio Periera). We see again that none of the “descendants” from either branches contained valuesthat were NA for the variable “thesis”.

In many string parsing applications, the choice of the regular expression can be tricky. This is true whenthe string variable we are parsing is thesis titles. For instance, notice that in our regular expression,we accounted for all instances of the substring “Stochastic”. Hence, words that contain ”Stochastic”(such as “Stochastics” and “Stochastically”) will also be returned. In addition, we defined our regularexpression to return matches whether the first letter was upper or lower case. When initializing therExpr parameter, users would need to consider what nuances of their search criteria they would liketo define as matches.

We will demonstrate one more example of the getBranchQual() function by searching the qualitativevariable “school” across the “descendant” branches of the academic statistician David Cox. The Math-ematics Genealogy Project coding system for the “school” variable was non-ambiguous, and so we donot have to worry about all the various ways the same school could be coded in the dataset. As aresult, we no longer have to search for various substrings; we can simply use a regular expression thatequates to one value.

It may be interesting to examine the school that is represented the most among all descendants ofDavid Cox. To determine what school this is, we use the getDescendants() function to create a dataframe called desDC that contains the names of all 159 “descendants” of David Cox. Then, we use thebase R function match() to match the school names from the original genealogy dataset to each ofthe 159 “descendants” in the desDC data frame. After that, we use the base R functions sort() andtable() to examine the five schools that were represented the most throughout the 159 “descendants”.

> desDC <- getDescendants("David Cox", statGeneal, 15)

> tableDC <- table(statGeneal[match(desDC$label, statGeneal$child), ]$school)

> tail(sort(tableDC), 5)

The Johns Hopkins University Universidade Federal do Rio de Janeiro

9 17

36

North Carolina State University Universidade de S~ao Paulo

18 28

University of London

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We see from this table that the most common school of the 159 “descendants” of David Cox was theUniversity of London with a count of 35. We can now determine which of the branches from the 42“children” of David Cox have the largest proportion of “descendants” graduating from the Universityof London.

> colName = "school"

> rExpr = "geneal$colName=='University of London'"> DCBranchUL <- getBranchQual(v1, geneal, colName, rExpr, gen)

> head(dplyr::select(DCBranchUL, -DesNames))

Name CountTrue Count NACount

1 Peter McCullagh 1 26 0

2 Adelchi Azzalini 0 0 0

3 Amy Berrington de Gonzales 0 0 0

4 Andrew Roddam 0 0 0

5 Angela Mariotto 0 0 0

6 Basil Springer 0 0 0

We see that Peter McCullagh is the only “child” of David Cox that has a “descendant” branch withone student graduating from the University of London; the rest of the 41 children of David Cox have“descendant” branches with zero students graduating from the University of London. This must meanthe other 34 “descendants” of David Cox that graduated from the University of London were direct“children” of David Cox. We can verify this below:

> DCChild <- statGeneal[match(getChild("David Cox", statGeneal), statGeneal$child), ]

> sum(DCChild$school == "University of London")

[1] 34

The examples above demonstrate that users can quickly and flexibly parse descendant branches.The swiftness comes from ggenealogy functions that allow for fast parent-child traversals, such asgetChild(), getDescendants(), getBranchQuant(), and getBranchQual(). The flexibility comesfrom data frame manipulation functions in base R that can be used in conjunction with the parent-child traversal methods.

Conclusions

The ggenealogy package offers various plotting tools that can assist those studying genealogical lin-eages in the data exploration phases. As each plot comes with its advantages and disadvantages, werecommend for users to explore several of the available visualization tools.

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This vignette briefly introduced some of the capabilities of the ggenealogy package. Inevitably, newapproaches will necessitate new features in subsequent versions and might reveal unforeseen bugs.Please send comments, suggestions, questions, and bug reports to lindsayannerutter@gmail.com.

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