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Modeling Combined Modeling Combined Proximity-Similarity Proximity-Similarity Effects in Visual Search Effects in Visual Search Tamar Avraham* Tamar Avraham* Yaffa Yeshurun** Yaffa Yeshurun** Michael Lindenbaum* Michael Lindenbaum* *Computer science dept., Technion, Israel *Computer science dept., Technion, Israel **Psychology dept., Haifa University, Israel **Psychology dept., Haifa University, Israel

Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

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Page 1: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Modeling Combined Modeling Combined Proximity-Similarity Proximity-Similarity

Effects in Visual SearchEffects in Visual Search

Tamar Avraham*Tamar Avraham*Yaffa Yeshurun**Yaffa Yeshurun**

Michael Lindenbaum*Michael Lindenbaum*

*Computer science dept., Technion, Israel*Computer science dept., Technion, Israel**Psychology dept., Haifa University, Israel**Psychology dept., Haifa University, Israel

Page 2: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

OutlineOutline► The FLNN and COVER models for computer visionThe FLNN and COVER models for computer vision

Avraham & Lindenbaum, IEEEAvraham & Lindenbaum, IEEE--PAMI 2006 PAMI 2006

► Study 1:Study 1:

Adapting the models for human performanceAdapting the models for human performanceAvraham, Yeshurun & Lindenbaum , Journal of Vision 2008Avraham, Yeshurun & Lindenbaum , Journal of Vision 2008

► Study 2:Study 2:

Extending the models to account for spatial Extending the models to account for spatial organization effects.organization effects.

Page 3: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

The FLNN modelThe FLNN model

feature extraction

ix

Farthest Labeled Nearest Neighbor

feature space

Avraham & Lindenbaum, IEEE-PAMI 2006

0° 30° 60° orientation

T = 0° D = 30°, 60°

T D D

Page 4: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

The FLNN model – contThe FLNN model – cont..

1

2

3

4

Avraham & Lindenbaum, IEEE-PAMI 2006

Alternative parallel explanation: dynamic priority map

Page 5: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

► Homogeneous distractors Homogeneous distractors

► Clustered distractors Clustered distractors –– maximum one from each maximum one from each clustercluster

Qualitative model behaviorQualitative model behavior

D

T

D

T

D

D

1

2

3

1

2

– pop-out behavior

Avraham & Lindenbaum, IEEE-PAMI 2006

Page 6: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Visual Search DifficultyVisual Search Difficulty►Search difficulty depends on two factors:Search difficulty depends on two factors:

T-D similaritiesT-D similarities D-D similaritiesD-D similarities

►Quantitative measures of search Quantitative measures of search difficultydifficulty the the saliencysaliency measure (measure (Rosenholtz 99Rosenholtz 99)) our our COVERCOVER measure measure

D

T

easy

T

difficult

Duncan & Humphreys 89 similarity theory

Avraham & Lindenbaum, IEEE-PAMI 2006

Page 7: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

The COVER measureThe COVER measure

Avraham & Lindenbaum, IEEE-PAMI 2006

► A minimum-d-cover (Kolmogorov 61): the minimum number of spheres with diameter d covering all points

d

Page 8: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

The COVER measureThe COVER measure

D

T

dT

D

T

D

DdT

COVER = 1 COVER = 3

T-D similarity effects D-D grouping

Avraham & Lindenbaum, IEEE-PAMI 2006

► If d = dT (the minimum T-D distance),

minimum-d-cover (COVER) the search difficulty

D

T

D

DdT

COVER = 2

Page 9: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

COVER = an inherent limitation COVER = an inherent limitation

for all models/algorithmsfor all models/algorithms

FLNN Performance ≥ COVERFLNN Performance ≥ COVER

COVER and FLNNCOVER and FLNN

Avraham & Lindenbaum, IEEE-PAMI 2006

Page 10: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Study 1:Study 1:

Testing the ability of COVER and FLNN Testing the ability of COVER and FLNN to predict human performanceto predict human performance

Avraham, Yeshurun & Lindenbaum, Journal of Vision 2008

Page 11: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

►COVER with internal noise: COVER with internal noise:

Low noiseLow noise

Higher noiseHigher noise

►Other visual search modelsOther visual search models Temporal-serial (Temporal-serial (Bergen&Juletz 83’Bergen&Juletz 83’) ) Signal-Detection-Theory (Signal-Detection-Theory (Palmer et. al. 93’, Eckstein 00’Palmer et. al. 93’, Eckstein 00’)) Target-Saliency model Target-Saliency model ((Rosenholtz Rosenholtz 9999’’)) Best-Normal Best-Normal ((Rosenholtz Rosenholtz 0101’’)) RCref RCref ((Rosenholtz Rosenholtz 0101’’))

dT

T

dT

T

Avraham, Yeshurun & Lindenbaum, Journal of Vision 2008

Page 12: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Study 1Study 1

Manipulated T-D and D-D similarityAccuracy. 2IFC.

Avraham, Yeshurun & Lindenbaum, Journal of Vision 2008

Page 13: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Participant Saliency (Rosenholtz

99)

COVER

Exp 1 A.P. 0.812 0.999*

Y.B. 0.538 0.998*

D.A. 0.572 0.997*

V.S. 0.570 0.999*

A.P.Z. 0.510 1*

Exp 2 A.D. - 0.926*

A.A. - 0.903*

M.D. - 0.962*

L.F. - 0.873

Exp 3 D.A. 0.900 0.862

S.M. 0.945 0.883

E.D. 0.996* 0.993*

G.S. 0.880 0.997*

Exp 4 R.A. - 0.967*

O.R. - 0.956*

R.I. - 0.979*

A.O. - 0.951*

COVER: Prediction COVER: Prediction ComparisonComparison

Avraham, Yeshurun & Lindenbaum, Journal of Vision 2008

Good correlation between

accuracy and COVER

correlation between accuracy and measure

Page 14: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

FLNN - Prediction FLNN - Prediction ComparisonComparison

Avraham, Yeshurun, Lindenbaum VSS 2011

FLNN best in 2 test.Lowest 2/df values

Avraham, Yeshurun & Lindenbaum, Journal of Vision 2008

Page 15: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Study 1 SummaryStudy 1 Summary

► FLNN and COVER predict T-D and D-D similarity FLNN and COVER predict T-D and D-D similarity effects better than other prominent effects better than other prominent computational models.computational models.

► The models quantify grouping-by-similarity The models quantify grouping-by-similarity involved in visual search, by suggesting that the involved in visual search, by suggesting that the degree of within-group heterogeneity depends degree of within-group heterogeneity depends on the T-D similarity.on the T-D similarity.

Avraham, Yeshurun, Lindenbaum VSS 2011

Page 16: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Study 2:Study 2:

Spatial Organization Effects Spatial Organization Effects

test and model how the effects of grouping by proximity and grouping by similarity

are combined in the context of visual search

Page 17: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Manipulating Spatial Manipulating Spatial OrganizationOrganization

Experiment 1Experiment 1T=0° D = 23°, 47°, 70°T=0° D = 23°, 47°, 70°

The same 30 elements in all conditionsThe same 30 elements in all conditions

Avraham, Yeshurun, Lindenbaum VSS 2011

no clusters 6 clusters 3 clusters

condition 1 condition 2 condition 3

Does spatial organization matter?

Page 18: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Experiment 1: ResultsExperiment 1: Results

► Previous models do not account for this significancePrevious models do not account for this significance

Avraham, Yeshurun, Lindenbaum VSS 2011

Page 19: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Spatial Organization Effects - Spatial Organization Effects - ModelingModeling

► One possibility: a multi scale approachOne possibility: a multi scale approach((e.g., Itti et al. 1998, Rosenholtz et al. 2007e.g., Itti et al. 1998, Rosenholtz et al. 2007))

How to combine the measure over scales? How to combine the measure over scales?

max? weight and sum?max? weight and sum?Avraham, Yeshurun, Lindenbaum VSS 2011

COVER=3

COVER=2

COVER=3

no clusters no clusters 3 3 clustersclusters

Page 20: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Spatial Organization Effects – Spatial Organization Effects – ModelingModeling

► Our models need only some measure of Our models need only some measure of distance between each two elementsdistance between each two elements

► Combine Combine feature difference feature difference and and spatial spatial distance distance

Avraham, Yeshurun, Lindenbaum VSS 2011

,i jD

feature, spatial(1 )i jD d d

Indicates the relative effect of the forces

feature,i jD d

Page 21: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Spatial Organization Effects – Spatial Organization Effects – ModelingModeling

► AdvantagesAdvantages: : same treatment for similarity and proximity same treatment for similarity and proximity understand and quantify the relative effect of eachunderstand and quantify the relative effect of each

► Questions to answer in this study:Questions to answer in this study: Will this enable our models to account for the Will this enable our models to account for the

spatial organization effect?spatial organization effect? What is the value of ?What is the value of ? Is stable or stimuli dependent?Is stable or stimuli dependent?

Avraham, Yeshurun, Lindenbaum VSS 2011

, feature spatial(1 )i jD d d

Page 22: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

FLNN predictionsFLNN predictions

► Conclusions:Conclusions: Combination of feature distance and spatial distance is Combination of feature distance and spatial distance is

essential for predictionessential for prediction Limited possibilities: implies that the model is informativeLimited possibilities: implies that the model is informative Relates to previous findings regarding the combined effects Relates to previous findings regarding the combined effects

of proximity and similarity on perceptual groupingof proximity and similarity on perceptual grouping

((e.g., Kobovy & van den Berg 2008e.g., Kobovy & van den Berg 2008))Avraham, Yeshurun, Lindenbaum VSS 2011

0.35 prediction prediction withwith

predictive ability vs. predictive ability vs.

Maximum value of 2 to pass the 2 test

Page 23: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Preliminary: Is stable Preliminary: Is stable or stimuli dependent?or stimuli dependent?

► Experiment 2: Experiment 2: Manipulate the number of distractor typesManipulate the number of distractor types

► Experiment 3:Experiment 3:Manipulate the distractors varianceManipulate the distractors variance

Avraham, Yeshurun, Lindenbaum VSS 2011

Page 24: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Exp 2 (preliminary): Exp 2 (preliminary): manipulating the number of manipulating the number of

distractor typesdistractor types

Avraham, Yeshurun, Lindenbaum VSS 2011

2 distractor types(15°, 30°)

4 distractor types(15°, 30°, 45°, 60°)

4 clustersno clusters

Page 25: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Avraham, Yeshurun, Lindenbaum VSS 2011

D = 15°, 30°

clustered

not clustered

Exp 3 (preliminary): Exp 3 (preliminary): manipulating distractors manipulating distractors

variancevarianceD = 15°, 45°D = 15°, 60°

Page 26: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Avraham, Yeshurun, Lindenbaum VSS 2011

Experiment 3 ResultsExperiment 3 ResultsExperiment 2 Experiment 2 ResultsResults

Experiment 2 and 3: Experiment 2 and 3: (preliminary) Results(preliminary) Results

Page 27: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Avraham, Yeshurun, Lindenbaum VSS 2011

0.35 Experiment 2 and 3: Experiment 2 and 3:

FLNN Predictions withFLNN Predictions withExperiment 3 PredictionsExperiment 3 PredictionsExperiment 2 Experiment 2

PredictionsPredictions

Page 28: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

SummarySummary► A study of the effects of spatial organization on A study of the effects of spatial organization on

visual searchvisual search

► The FLNN model can predict effects of grouping The FLNN model can predict effects of grouping by similarity and grouping be proximityby similarity and grouping be proximity

► As it uses an explicit combination of feature As it uses an explicit combination of feature difference and spatial distance, it can help us difference and spatial distance, it can help us understand the relative effect of similarity and understand the relative effect of similarity and proximity on visual searchproximity on visual search

Avraham, Yeshurun, Lindenbaum VSS 2011

Page 29: Modeling Combined Proximity-Similarity Effects in Visual Search Tamar Avraham* Yaffa Yeshurun** Michael Lindenbaum* *Computer science dept., Technion,

Thank you Thank you

Tamar AvrahamTamar AvrahamMichael LindenbaumMichael Lindenbaum

Yaffa YeshurunYaffa Yeshurun