Probably Approximately Correct Learning

Probably Approximately Correct Learning Probably Approximately Correct Learning - Start

2016-05-22 63K 63 0 0

Probably Approximately Correct Learning - Description

Yongsub. Lim. Applied Algorithm Laboratory. KAIST. Definition. A class is . PAC learnable . by a hypothesis class if. there is an algorithm such that. over . ID: 329642 Download Presentation

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Probably Approximately Correct Learning




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Presentations text content in Probably Approximately Correct Learning

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Probably Approximately Correct Learning

Yongsub

Lim

Applied Algorithm Laboratory

KAIST

Slide2

Definition

A class is PAC learnable by a hypothesis class ifthere is an algorithm such that over , # of i.i.d. training examples sampled from , such that where is an output of

Probably Approximately Correct Learning

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Example

Consider the class space which is the set of all positive half-linesAn example is any real numberEg)

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0

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Proof. is PAC learnable

is PAC learnable by

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Proof. is PAC learnable

Our algorithm outputs a hypothesis such that

Suppose for a positive example for a negative example

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Proof. is PAC learnable

Suppose , and it called

only occurs if no training example

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Proof. is PAC learnable

Probably Approximately Correct Learning

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Proof. is PAC learnable

Probably Approximately Correct Learning

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Proof. is PAC learnable

The class is PAC learnable by itself with at least training examples

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A More General Theorem

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Thanks

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