科研之友
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摘要
We show that for a typical coordinate projection of a subgaussian class of functions, the infimum over signs inf((epsilon i)) sup f epsilon F |Sigma(k)(i)=1 epsilon(i) f (X-i)| is asymptotically smaller than the expectation over signs as a function of the dimension k, if the canonical Gaussian process indexed by F is continuous. To that end, we establish a bound on the discrepancy of an arbitrary subset of R-k using properties of the canonical Gaussian process the set indexes, and then obtain quantitative structural information on a typical coordinate projection of a subgaussian class.
- 出版日期2011-5
