Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrepancy, chaining and subgaussian processes   We show that for a typical coordinate projection of a subgaussian class of
functions, the infimum over signs $\inf_{(\epsilon_i)}{\sup_{f\in
F}}|{\sum_{i=1}^k\epsilon_i}f(X_i)|$ 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 $\mathbb {R}^k$ 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.

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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph