Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditional Infimum and Hidden Convexity in Optimization   Detecting hidden convexity is one of the tools to address nonconvex
minimization problems. After giving a formal definition of hidden convexity, we
introduce the notion of conditional infimum, as it will prove instrumental in
detecting hidden convexity. We develop the theory of the conditional infimum,
and we establish a tower property, relevant for minimization problems. Thus
equipped, we provide a sufficient condition for hidden convexity in nonconvex
minimization problems. We illustrate our result on nonconvex quadratic
minimization problems. We conclude with perspectives for using the conditional
infimum in relation to the so-called S-procedure, to couplings and conjugacies,
and to lower bound convex programs.

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The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph