Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal oracle inequalities for model selection   Model selection is often performed by empirical risk minimization. The
quality of selection in a given situation can be assessed by risk bounds, which
require assumptions both on the margin and the tails of the losses used.
Starting with examples from the 3 basic estimation problems, regression,
classification and density estimation, we formulate risk bounds for empirical
risk minimization under successively weakening conditions and prove them at a
very general level, for general margin and power tail behavior of the excess
losses.

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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: econ