Stable nonconvex-nonconcave training via linear interpolation
T Pethick, W **s_of_Functions/links/66e0f4c22390e50b2c7e78ff/Various-Notions-of-Nonexpansiveness-Coincide-for-Proximal-Map**s-of-Functions.pdf" data-clk="hl=it&sa=T&oi=gga&ct=gga&cd=5&d=16855277986884886457&ei=16mqZ8TwK8XBieoP6tSMiAQ" data-clk-atid="uR-8pgb66ekJ" target="_blank">[PDF] researchgate.net
Various Notions of Nonexpansiveness Coincide for Proximal Map**s of Functions
H Luo, X Wang, X Yang - SIAM Journal on Optimization, 2024 - SIAM
Proximal map**s are essential in splitting algorithms for both convex and nonconvex
optimization. In this paper, we show that proximal map**s of every prox-bounded function …
optimization. In this paper, we show that proximal map**s of every prox-bounded function …
A second order dynamical system method for solving a maximally comonotone inclusion problem
Z Tan, R Hu, Y Fang - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
In this paper a second order dynamical system model is proposed for computing a zero of a
maximally comonotone operator in a Hilbert space. Under mild conditions, we prove …
maximally comonotone operator in a Hilbert space. Under mild conditions, we prove …
Strict pseudocontractions and demicontractions, their properties, and applications
A Cegielski - Numerical Algorithms, 2024 - Springer
We give properties of strict pseudocontractions and demicontractions defined on a Hilbert
space, which constitute wide classes of operators that arise in iterative methods for solving …
space, which constitute wide classes of operators that arise in iterative methods for solving …
Finite-Time Nonconvex Optimization Using Time-Varying Dynamical Systems
In this paper, we study the finite-time convergence of the time-varying dynamical systems for
solving convex and nonconvex optimization problems in different scenarios. We first show …
solving convex and nonconvex optimization problems in different scenarios. We first show …
An adaptive splitting algorithm for the sum of two generalized monotone operators and one cocoercive operator
Splitting algorithms for finding a zero of sum of operators often involve multiple steps which
are referred to as forward or backward steps. Forward steps are the explicit use of the …
are referred to as forward or backward steps. Forward steps are the explicit use of the …