3 papers
math.OC2025
Radial Epiderivative Based Line Search Methods in Nonconvex and Nonsmooth Box-Constrained Optimization
Refail Kasimbeyli, Gulcin Dinc Yalcin, Gazi Bilal Yildiz +1
In this paper, we develop a novel radial epiderivative-based line search methods for solving nonsmooth and nonconvex box-constrained optimization problems. The rationale for employ…
math.OC2022
On radially epidifferentiable functions and regularity conditions in nonconvex optimization
Gulcin Dinc Yalcin, Refail Kasimbeyli
In this paper we study the radial epiderivative notion for nonconvex functions, which extends the (classical) directional derivative concept. The paper presents new definition and…
math.OC2022
Incremental Quasi-Newton Algorithms for Solving Nonconvex, Nonsmooth, Finite-Sum Optimization Problems
Gulcin Dinc Yalcin, Frank E. Curtis
Algorithms for solving nonconvex, nonsmooth, finite-sum optimization problems are proposed and tested. In particular, the algorithms are proposed and tested in the context of an op…