On Proximal Algorithms with Inertial Effects Beyond Monotonicity

Relaxed-inertial proximal point type algorithms for quasiconvex minimization

(2022) S.-M. Grad et al.   JOURNAL OF GLOBAL OPTIMIZATION

Weakly-convex–concave min–max optimization: provable algorithms and applications in machine learning

(2021) Hassan Rafique et al.   OPTIMIZATION METHODS & SOFTWARE

Proximal Methods Avoid Active Strict Saddles of Weakly Convex Functions

(2021) Damek Davis et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

On the proximal point algorithm and its Halpern-type variant for generalized monotone operators in Hilbert space

(2021) Ulrich Kohlenbach   Optimization Letters

Fast Convergence of Dynamical ADMM via Time Scaling of Damped Inertial Dynamics

(2021) Hedy Attouch et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Extrapolated Proximal Subgradient Algorithms for Nonconvex and Nonsmooth Fractional Programs

(2021) Radu Ioan Boţ et al.   MATHEMATICS OF OPERATIONS RESEARCH

Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms

(2020) M. Marques Alves et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

Non-convex Total Variation Regularization for Convex Denoising of Signals

(2020) Ivan Selesnick et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Generalized monotone operators and their averaged resolvents

(2020) Heinz H. Bauschke et al.   MATHEMATICAL PROGRAMMING

Inertial proximal gradient methods with Bregman regularization for a class of nonconvex optimization problems

(2020) Zhongming Wu et al.   JOURNAL OF GLOBAL OPTIMIZATION

Stochastic Model-Based Minimization of Weakly Convex Functions

(2019) Damek Davis et al.   SIAM JOURNAL ON OPTIMIZATION

On Inexact Relative-Error Hybrid Proximal Extragradient, Forward-Backward and Tseng’s Modified Forward-Backward Methods with Inertial Effects

(2019) M. Marques Alves et al.   Set-Valued and Variational Analysis

About Proximal-Type Methods for a Class of Nonmonotone Operators

(2019) Abdellatif Moudafi   Bulletin of the Iranian Mathematical Society

Convergence Analysis of Douglas--Rachford Splitting Method for “Strongly + Weakly” Convex Programming

(2017) Ke Guo et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Inertial Douglas–Rachford splitting for monotone inclusion problems

(2015) Radu Ioan Boţ et al.   APPLIED MATHEMATICS AND COMPUTATION

A Hybrid Proximal-Extragradient Algorithm with Inertial Effects

(2015) Radu Ioan Boţ et al.   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

The Primal-Dual Hybrid Gradient Method for Semiconvex Splittings

(2015) Thomas Möllenhoff et al.   SIAM Journal on Imaging Sciences

Inertial Proximal ADMM for Linearly Constrained Separable Convex Optimization

(2015) Caihua Chen et al.   SIAM Journal on Imaging Sciences

An Inertial Forward-Backward Algorithm for Monotone Inclusions

(2014) Dirk A. Lorenz et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

iPiano: Inertial Proximal Algorithm for Nonconvex Optimization

(2014) Peter Ochs et al.   SIAM Journal on Imaging Sciences