Understanding Machine Learning: From Theory to Algorithms

(Jeff_L) #1
11.5 Exercises 155


  • Divide themexamples into a training set of size (1−α)mand a validation
    set of sizeαm, for someα∈(0,1). Then, apply the approach of model
    selection using validation. That is, first train each classHion the (1−
    α)mtraining examples using the ERM rule with respect toHi, and let
    hˆ 1 ,...,ˆhkbe the resulting hypotheses. Second, apply the ERM rule with
    respect to the finite class{ˆh 1 ,...,ˆhk}on theαmvalidation examples.
    Describe scenarios in which the first method is better than the second and
    vice versa.

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