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Old 08-09-2012, 01:48 AM
hashable hashable is offline
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Join Date: Jul 2012
Posts: 8
Default Re: Question on Bias Variance Tradeoff

Thanks for the quick reply. I have some follow up questions in regards to variance.

How does increasing bias artificially in this way (by choosing a pathological hypothesis space) affect the variance?

Variance appears to only depend on and is independent of f. Perhaps it could be considered to indirectly depend of f to the extent that each g tries to approximate f. Thus is variance affected by whether is close to f or not?

Is it possible to increase complexity/hypothesis-set-size without increasing the variance? It is not obvious that this is not possible although the intuitive explanation is that a larger hypothesis set will result in a larger variance.
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