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Part 2: Theory of Active Learning General Case Disagreement-Based Agnostic Active Learning Disagreement Coefficient Sample Complexity Bounds Tutorial on Active Learning: Theory to Practice Steve Hanneke Toyota Technological Institute at Chicago [email protected] Robert Nowak University of Wisconsin - Madison [email protected]

Part 2: Theory of Active Learning General Case

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Page 1: Part 2: Theory of Active Learning General Case

Part 2: Theory of Active LearningGeneral Case

• Disagreement-Based Agnostic Active Learning

• Disagreement Coefficient

• Sample Complexity Bounds

Tutorial on Active Learning: Theory to Practice

Steve HannekeToyota Technological Institute at [email protected]

Robert NowakUniversity of Wisconsin - [email protected]

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Agnostic Active Learning

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Uniform Bernstein Inequality

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Agnostic Active Learning Balcan, Beygelzimer, & Langford (2006)

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Agnostic Active Learning

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Sample Complexity Analysis Hanneke (2007,…)

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

f*

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Sample Complexity Analysis

f*

f B(f*,r)

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Sample Complexity Analysis

f*

DIS(B(f*,r))

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Sample Complexity Analysis

f*

DIS(B(f*,r))

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Sample Complexity Analysis

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Stopping Criterion

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Simpler Agnostic Active Learning Hsu (2010,…)

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Surrogate Loss Hanneke & Yang (2012)

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Importance-Weighted Active Learning Beygelzimer, Dasgupta, Langford (2009)

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Importance-Weighted Active Learning Beygelzimer, Dasgupta, Langford (2009)

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Questions?