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Old 05-28-2016, 05:18 AM
pouramini pouramini is offline
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Default Can we guarantee there is a function with low in sample error in H

There is this sentence in book, page 25
Quote:
We cannot guarantee that we will find a hypothesis that achieves Ein (g) ~ 0,
but at least we will know if we find it
My English is not perfect, what does it mean? does it mean that we only should find such a function, otherwise there is no way to know if it exists?!
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Old 05-28-2016, 08:49 AM
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htlin htlin is offline
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Default Re: Can we guarantee there is a function with low in sample error in H

Whether there is some g \in \mathcal{H} with E_{in} \sim 0 depends on the hypothesis set. So we cannot always guarantee finding a g with low E_{in}.
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Old 05-29-2016, 01:15 PM
pouramini pouramini is offline
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Default Re: Can we guarantee there is a function with low in sample error in H

Thank you!
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