Random Descent Steps in a Probability Maximization Scheme

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.

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Publication Details

Journal
Journal of Optimization Theory and Applications
Published
2025-02-18
DOI
https://doi.org/10.1007/s10957-025-02619-2
Primary Topic
Stochastic Gradient Optimization Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

Random Descent Steps in a Probability Maximization Scheme

Csaba I. Fábián, Edit Csizmás, Rajmund Drenyovszki, Tamás Szántai
Journal of Optimization Theory and Applications
Stochastic Gradient Optimization Techniques
article

Random Descent Steps in a Probability Maximization Scheme

Csaba I. Fábián, Edit Csizmás, Rajmund Drenyovszki, Tamás Szántai
article en

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.

Journal of Optimization Theory and ApplicationsVol. 205(1)
Budapest University of Technology and Economics (HU), John von Neumann University (HU)
Neumann János Egyetem, Magyarország Kormánya, European Regional Development Fund, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap
Openalex Percentile: Top 99%
Stochastic Gradient Optimization Techniques
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