true error less Any learner that outputs a hypothesis consistent with all training examples.

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Presentation transcript:

true error less

Any learner that outputs a hypothesis consistent with all training examples

true errortraining errordegree of overfitting

What if H is not finite? Can’t use our result for finite H Need some other measure of complexity for H –Vapnik-Chervonenkis dimension!

1.Initialize VS to all hypotheses in H 2.For each training example, remove from VS all hyps. that misclassify this example

Weighted Majority Algorithm when  =0, equivalent to the Halving algorithm…

Even algorithms that learn or change over time…