The current literature on these classes of methods almost exclusively considers the case where also the smooth term is convex. Here we present a globalized proximal Newton-type method which allows the smooth term to be nonconvex. The method is shown to have nice global and local convergence ...
the algorithms require inexact evaluations of the proximal operator, as well as, approximate subgradients of the functions (namely: theϵ-subgradients). The methods use different error criteria for approximating the proximal
Proximal Quasi-Newton Methods for Nondifferentiable Convex Optimization The method is based on Rockafellar's proximal point algorithm and a cutting-plane technique. At each step, we use an approximate proximal point p a (x k ) ... X Chen,M Fukushima - 《Mathematical Programming》 被引量: 109...
We demonstrate the advantage of variable metric implementation in the case of solving systems of smooth monotone equations by the proximal Newton method.关键词: proximal point methods variable metric maximal monotone operators approximation DOI: 10.1137/070688146 被引量: 94 ...
Wang, XiaoyuWang, XiaoYuan, Ya-xiangOptimization Methods and SoftwareWang, X.Y., Wang, X., Yuan, Y.X.: Stochastic proximal quasi-Newton methods for non-convex compos- ite optimization. Optimization Methods and Software pp. 1-27 (2018)...
All methods were performed in accordance with relevant guidelines and regulations following the Declaration of Helsinki. Results Our goal in this study was to establish the state-of-the-art in deep learning models for end-to-end proximal femur fracture detection and localization from plain ...
we expound on various proximal trust-region subproblem solvers that generalize traditional trust-region methods for smooth unconstrained and convex-constrained problems. We introduce a simplified spectral proximal gradient solver, a truncated nonlinear conjugate gradient solver, and a dogleg method. We compa...
We consider two type of bundle methods in order to solve hemivariational inequalities numerically: proximal bundle and bundle-Newton methods. Proximal bundle ... MM Mäkelä,M Miettinen,L Lukšan,... - 《Journal of Global Optimization》 被引量: 50发表: 1999年 A nonmonotone proximal bundle...
Newton-Type Alternating Minimization Algorithm for Convex Optimization , NAMA relies on exactly the same computations as the classical alternating minimization algorithm (AMA), also known as the dual-proximal gradient method. ... L Stella,A Themelis,P Patrinos - 《IEEE Transactions on Automatic Contr...
Inertial proximal gradient methods with Bregman regularization for a class of nonconvex optimization problems Article 19 August 2020 A hybrid stochastic optimization framework for composite nonconvex optimization Article 04 January 2021 An Inexact Proximal Newton Method for Nonconvex Composite Minimizatio...