Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimax Euclidean Separation Rates for Testing Convex Hypotheses in
  $\mathbb{R}^d$   We consider composite-composite testing problems for the expectation in the
Gaussian sequence model where the null hypothesis corresponds to a convex
subset $\mathcal{C}$ of $\mathbb{R}^d$. We adopt a minimax point of view and
our primary objective is to describe the smallest Euclidean distance between
the null and alternative hypotheses such that there is a test with small total
error probability. In particular, we focus on the dependence of this distance
on the dimension $d$ and the sample size/variance parameter $n$ giving rise to
the minimax separation rate. In this paper we discuss lower and upper bounds on
this rate for different smooth and non- smooth choices for $\mathcal{C}$.

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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ