[BOK][B] Variational analysis and applications

BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

Golden ratio algorithms for variational inequalities

Y Malitsky - Mathematical Programming, 2020 - Springer
The paper presents a fully adaptive algorithm for monotone variational inequalities. In each
iteration the method uses two previous iterates for an approximation of the local Lipschitz …

Iterated function systems: A comprehensive survey

R Ghosh, J Marecek - arxiv preprint arxiv:2211.14661, 2022 - arxiv.org
arxiv:2211.14661v1 [math.PR] 26 Nov 2022 Page 1 Iterated Function Systems: A
Comprehensive Survey Ramen Ghosh ∗ Jakub Mareček † November 29, 2022 Abstract We …

Convolutional proximal neural networks and plug-and-play algorithms

J Hertrich, S Neumayer, G Steidl - Linear Algebra and its Applications, 2021 - Elsevier
In this paper, we introduce convolutional proximal neural networks (cPNNs), which are by
construction averaged operators. For filters with full length, we propose a stochastic gradient …

The Douglas–Rachford algorithm for convex and nonconvex feasibility problems

FJ Aragón Artacho, R Campoy, MK Tam - Mathematical Methods of …, 2020 - Springer
Abstract The Douglas–Rachford algorithm is an optimization method that can be used for
solving feasibility problems. To apply the method, it is necessary that the problem at hand is …

[PDF][PDF] Phase retrieval, what's new

DR Luke - SIAG/OPT Views and News, 2017 - researchgate.net
Ask an engineer to solve a problem and she will come back in a day or so with something
that seems to work well enough most of the time. Ask a mathematician to solve the same …

A minimalist approach to 3D photoemission orbital tomography: algorithms and data requirements

TL Dinh, GSM Jansen, DR Luke… - New Journal of …, 2024 - iopscience.iop.org
Photoemission orbital tomography provides direct access from laboratory measurements to
the real-space molecular orbitals of well-ordered organic semiconductor layers. Specifically …

Variational analysis perspective on linear convergence of some first order methods for nonsmooth convex optimization problems

JJ Ye, X Yuan, S Zeng, J Zhang - Set-Valued and Variational Analysis, 2021 - Springer
We study linear convergence of some first-order methods such as the proximal gradient
method (PGM), the proximal alternating linearized minimization (PALM) algorithm and the …

Optimization on spheres: models and proximal algorithms with computational performance comparisons

DR Luke, S Sabach, M Teboulle - SIAM Journal on Mathematics of Data …, 2019 - SIAM
We present a unified treatment of the abstract problem of finding the best approximation
between a cone and spheres in the image of affine transformations. Prominent instances of …

Necessary conditions for linear convergence of iterated expansive, set-valued map**s

DR Luke, M Teboulle, NH Thao - Mathematical Programming, 2020 - Springer
We present necessary conditions for monotonicity of fixed point iterations of map**s that
may violate the usual nonexpansive property. Notions of linear-type monotonicity of fixed …