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Random Descent Steps in a Probability Maximization Scheme

Edit Csizmás (), Rajmund Drenyovszki (), Tamás Szántai () and Csaba I. Fábián ()
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Edit Csizmás: John von Neumann University
Rajmund Drenyovszki: John von Neumann University
Tamás Szántai: Budapest University of Technology and Economics
Csaba I. Fábián: John von Neumann University

Journal of Optimization Theory and Applications, 2025, vol. 205, issue 1, No 13, 26 pages

Abstract: Abstract Gradient computation of multivariate distribution functions calls for considerable effort. Hence coordinate descent and derivative-free approaches are attractive. This paper deals with constrained convex problems. We perform random descent steps in an approximation scheme that is an inexact cutting-plane method from a dual viewpoint. We prove that the scheme converges and present a computational study comparing different descent methods applied in the approximation scheme.

Keywords: Stochastic programming; Probability maximization; Approximation schemes; Coordinate-descent methods; Cutting-plane methods (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02619-2

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