Let D be the distribution of training data and D′ be that of test data. A key condition under which classical PAC learning results hold is that D′ = D. Give an example to show that when D′ ̸= D, any learner with access to finite training data, even with unlimited computational power, may incur a high testing error.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter12: Review Of Calculus And Probability
Section12.5: Random Variables, Mean, Variance, And Covariance
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5. Let D be the distribution of training data and D′ be that of test data. A key condition under which classical PAC learning results hold is that D′ = D. Give an example to show that when D′ ̸= D, any learner with access to finite training data, even with unlimited computational power, may incur a high testing error.

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