most citedMethods of Nonconvex Optimization

40 citations · 44 across the 5 of their papers we have counts for

collaborators

5 papers

math.ST20241 cited

Constrained recursive kernel density/regression estimation by stochastic quasi-gradient methods

Vladimir Norkin, Vladimir Kirilyuk

The paper considers nonparametric kernel density/regression estimation from a stochastic optimization point of view. The estimation problem is represented through a family of stoch…

math.OC202440 cited

Methods of Nonconvex Optimization

V. S. Mikhalevich, A. M. Gupal, V. I. Norkin

This book is devoted to finite-dimensional problems of non-convex non-smooth optimization and numerical methods for their solution. The problem of nonconvexity is studied in the bo…

math.OC2023

On Shor's r-Algorithm for Problems with Constraints

Vladimir Norkin, Anton Kozyriev

Shor's r-algorithm (Shor, Zhurbenko (1971), Shor (1979)) with space stretching in the direction of difference of two adjacent subgradients is a competitive method of nonsmooth opti…

math.OC20233 cited

Constrained Global Optimization by Smoothing

Vladimir Norkin, Alois Pichler, Anton Kozyriev

This paper proposes a novel technique called "successive stochastic smoothing" that optimizes nonsmooth and discontinuous functions while considering various constraints. Our metho…

math.OC2023

Portfolio reshaping under 1st order stochastic dominance constraints by the exact penalty function methods

Vladimir Norkin, Alois Pichler

The paper addresses general constrained and non-linear optimization problems. For some of these notoriously hard problems, there exists a reformulation as an unconstrained, global…