Search Results - subject:"Subdifferential"

The sparse(st) optimization problem: reformulations, optimality, stationarity, and numerical results

Kanzow, Christian; Schwartz, Alexandra; Weiß, Felix - In: Computational Optimization and Applications 90 (2024) 1, pp. 77-112

We consider the sparse optimization problem with nonlinear constraints and an objective function, which is given by the sum of a general smooth mapping and an additional term defined by the ℓ0-quasi-norm. This term is used to obtain sparse solutions, but difficult to handle due to its...

Persistent link: https://www.econbiz.de/10015361667

On continuous codifferentiability of quasidifferentiable functions

Prudnikov, Igor M. - In: Operations research forum 2 (2021) 3, pp. 1-15

Persistent link: https://www.econbiz.de/10012663023

Minimizing compositions of differences-of-convex functions with smooth mappings

Hoai An Le Thi; Huynh Van Ngai; Pham Dinh Tao - In: Mathematics of operations research 49 (2024) 2, pp. 1140-1168

Persistent link: https://www.econbiz.de/10014564933

Stochastic subgradient descent escapes active strict saddles on weakly convex functions

Bianchi, Pascal; Hachem, Walid; Schechtman, Sholom - In: Mathematics of operations research 49 (2024) 3, pp. 1761-1790

Persistent link: https://www.econbiz.de/10015047790

From perspective maps to epigraphical projections

Friedlander, Michael P.; Goodwin, Ariel; Hoheisel, Tim - In: Mathematics of operations research 48 (2023) 3, pp. 1711-1740

Persistent link: https://www.econbiz.de/10014329355

Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning

Bolte, Jérôme; Pauwels, Edouard - 2019

Persistent link: https://www.econbiz.de/10012182324

Graphical convergence of subgradients in nonconvex optimization and learning

Davis, Damek; Drusvyatskiy, Dmitriy - In: Mathematics of operations research 47 (2022) 1, pp. 209-231

Persistent link: https://www.econbiz.de/10013364859

Value functions and optimality conditions for nonconvex variational problems with an infinite horizon in banach spaces

Frankowska, Hélène; Sagara, Nobusumi - In: Mathematics of operations research 47 (2022) 1, pp. 320-340

Persistent link: https://www.econbiz.de/10013364866

The DTC (difference of tangentially convex functions) programming : optimality conditions

Mashkoorzadeh, F.; Movahedian, N.; Nobakhtian, S. - In: Top : an official journal of the Spanish Society of … 30 (2022) 2, pp. 270-295

Persistent link: https://www.econbiz.de/10013274120

A study of convex convex-composite functions via infimal convolution with applications

Burke, James V.; Hoheisel, Tim; Nguyen Quang Van - In: Mathematics of operations research 46 (2021) 4, pp. 1324-1348

Persistent link: https://www.econbiz.de/10012796643