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 ...
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)...
Regularized, or stabilized, semismooth Newton-type methods, such as QPALM [33, 34] and FBstab [37], overcome these drawbacks. The augmented Lagrangian framework [7, 14, 44], semismooth Newton methods [25, 53], and proximal techniques [48, 56] are undergoing a revival, as their seamless...
It can be seen as the main advantage of these approximations that they allow for very efficient numerical methods of Newton-type, with a fast, locally superlinear or quadratic convergence rate. However, for many practical applications it can be problematic that such approximate solutions do not ...
A bundle-type quasi-Newton method for nonconvex nonsmooth optimization In this paper, we propose a bundle-type quasi-Newton method for minimizing a nonconvex nonsmooth function. The method is based on the redistributed bundle ... C Tang,H Chent,J Jian,... - 《Pacific Journal of Optimization...
interactor of human STAT2 in high-throughput pull-down assays66,67and has recently been detected near murine STAT1 and IRF9 using similar proximity labeling methods47, indicating its potential involvement in the activation of ISGs. In summary, 12% of our total type I IFN component proximal ...
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 ...
Methods Subjects Twenty-five patients (n = 25), scheduled for TKA, participated in this study (Table I). In all patients, indication for surgery was painful and symptomatic tibiofemoral knee OA. Patients were recruited from the Royal Adelaide Hospital, Repatriation General Hospital and Burnside War...
We generalize Newton-type methods for minimizing smooth functions to handle a sum of two convex functions: a smooth function and a nonsmooth function with a simple proximal mapping. We show that the resulting proximal Newton-type methods inherit the desirable convergence behavior of Newton-type ...
Among the methods studied are: stochastic gradient descent, stochastic Newton, stochastic proximal point and stochastic dual subspace ascent. This is the first time momentum variants of several of these methods are studied. We choose to perform our analysis in a setting in which all of the above...