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 properties, and some numerical results indicate that this method is very promising also from a practical point of view....
proximal-Newton methodcomplexityproximal point methodsWe propose and study the iteration-complexity of a proximal-Newton method for finding approximate solutions of the problem of minimizing a twice continuously differentiable convex function on a (possibly infinite dimensional) Hilbert space. We prove ...
Svaiter, A dynamic approach to a proximal- Newton method for monotone inclusions in Hilbert spaces, with complexity O(1/n2), arXiv:1502.04286v1H. Attouch, M. M. Alves, and B. F. Svaiter. A dynamic approach to a proximal-newton method for monotone inclusions in Hilbert spaces, with ...
This paper introduces QPDO, a primal-dual method for convex quadratic programs which builds upon and weaves together the proximal point algorithm and a damped semismooth Newton method. The outer proximal regularization yields a numerically stable method, and we interpret the proximal operator as the ...
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...
actInfo = rlNumericSpec with properties: LowerLimit: -Inf UpperLimit: Inf Name: "force" Description: [0x0 string] Dimension: [1 1] DataType: "double" In this example, the action is a scalar value representing a force ranging from -2 to 2 Newton. To make sure that the output from...
actInfo = rlNumericSpec with properties: LowerLimit: -Inf UpperLimit: Inf Name: "force" Description: [0x0 string] Dimension: [1 1] DataType: "double" In this example, the action is a scalar value representing a force ranging from -2 to 2 Newton. To make sure that the output from...
BioSensics, LLC, 57 Chapel Street, Newton, MA, 02458, USA İlkay Yıldız Potter, Aidin Vaziri & Ashkan Vaziri Carl J. Shapiro Department of Orthopaedic Surgery, Beth Israel Deaconess Medical Center (BIDMC) and Harvard Medical School, 330 Brookline Avenue, Stoneman 10, Boston, MA, 022...
The smoothness of the sum of squared distances (almost everywhere) opens the door to higher-order techniques from nonlinear optimization that accelerate the basic gradient descent method. Quasi-Newton methods, for instance, would do the trick, and as observed in [61], they work unexpectedly well...