Abstract. We propose a prox-type method with efficiency estimate O(2−1) for approximating saddle points of convex-concave C1,1 functions and solutions of variational inequalities with monotone Lipschitz continuous operators. Application examples include matrix games, eigenvalue minimization and computing Lovasz capacity number of a graph and are illustrated by numerical experiments with large-s...

In this short survey, I revisit the role of the proximal point method in large scale optimization. I focus on three recent examples: a proximally guided subgradient method for weakly convex stochastic approximation, the prox-linear algorithm for minimizing compositions of convex functions and smooth maps, and Catalyst generic acceleration for regularized Empirical Risk Minimization.

The aim of the current study was to attempt replicate finding that individual alpha frequency (IAF) as well absolute difference between IAF and 10 Hz stimulation (IAF-prox) is related treatment outcome. Correlations were performed investigate relationship IAF-prox percentage symptom improvement in a sample 153 patients with major depressive disorder treated (N = 59) left dorsolateral prefrontal...

PURPOSE To investigate the expression of lymphatic endothelial cell (LEC) markers in tissues of the anterior eye segment. METHODS Sections of human anterior segments from eight eyes of eight donors (37-100 years) were stained for Vegf-R3, Prox-1, Lyve-1, Pdpn, Pcx, CCR7, Ccl19, Ccl21, and CD68. Pdpn localization was additionally analyzed by immunogold labeling on sections of five eyes. Expres...

This document contains supplementary material. In particular, additional segmentation results are shown and validation results are presented. Further, this document contains the full derivations of the prox operators, the ADMM dual energy, and the derivation of the estimate of the relaxed dual energy.

Abstract: We prove an existence and uniqueness result for the solutions to the Skorokhod problem on uniformly prox-regular sets through a deterministic approach. This result can be applied in order to investigate some regularity properties of the value function for differential games with reflection on the boundary.

Necessary and sufficient conditions are obtained for the Lipschitzian stability of local solutions to finite-dimensional parameterized optimization problems in a very general setting. Properties of prox-regularity of the essential objective function and positive definiteness of its coderivative Hessian are the key to these results. A previous characterization of tilt stability comes out as a sp...

In the present study, we have systematically studied role of surface energy coefficient as well temperature dependence in fusion hindrance phenomenon heavy-ion reactions using proximity potential formalism. To this end, performed calculations interaction original 1977 (Prox. 77) and cross sections are calculated based on coupled-channels (CC) approach. The considered systems including 11B+197Au...

New Pt-Co catalysts of hydrogen purification from CO impurities for fuel cells were fabricated via the deposition monodispersed 1.7 nm Pt nanoparticles using laser electrodispersion on Co-modified ZSM-5 prepared by Co(CH3COO)2 impregnation. The structure zeolites was studied low-temperature N2 sorption, TEM, EDX, and XPS methods. comparative analysis samples with different (0.01–0.05 wt.%) Co (...