Bregman function
WebApr 10, 2024 · Furthermore, we were able to incorporate Bregman-distance functions in the proximal step of an SVRG-type method for convex-concave setting for the first time. The Bregman distance function generalizes the Euclidean distance by providing a significant flexibility. Indeed, it facilitates the computation of the proximal mapping. WebDec 1, 2024 · This led to the development of a generalized notion known as the L-smad property, which is based on generalized proximity measures called Bregman distances. However, the L-smad property cannot handle nonsmooth functions, for example, simple nonsmooth functions like $$\vert x^4-1 \vert $$ and also many practical composite …
Bregman function
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WebBregman iterative regularization using model functions for nonconvex nonsmooth optimization 22 November 2024 Frontiers in Applied Mathematics and Statistics, Vol. 8 … WebMar 1, 2024 · Bregman functions and divergences have been extensively investigated during the last decades and have found applications in optimization, operations research, …
WebIn this paper, we propose a modified Bregman-function-based proximal point algorithm for solving variational inequality problems. The algorithm adopts a similar constructive approximate criterion as the one developed by Solodov and Svaiter (Set Valued Analysis 7 (1999) 323) for solving the classical proximal subproblems. WebThe acoustic imaging (AI) technique could map the position and the strength of the sound source via the signal processing of the microphone array. Conventional methods, including far-field beamforming (BF) and near-field acoustic holography (NAH), are limited to the frequency range of measured objects. A method called Bregman iteration based …
WebConvergence under implementable criteria is established by extending the recent framework of Bregman proximal minimization by providing new insights into the convergence properties of bundle methods based on h=½ · 2.k. k} by taking xk to be an approximate minimizer of , where is a piecewise linear model of f constructed from accumulated … WebBregman divergence on the Lov´asz extension of a submodular function, which we call the Lov´asz-Bregman divergence, is a continuous extension of a submodular Bregman divergence. We point out a number of applications, and in particular show that a proximal algorithm defined through the submodular Bregman divergence pro-
WebThis paper establishes convergence of generalized Bregman-function-based proximal point algorithms when the iterates are computed only approximately. The problem being solved is modeled as a general maximal monotone operator, and need not reduce to minimization of a function.
WebMay 30, 2024 · Bregman functions are used in algorithms for convex feasibility problems and linearly constrained convex optimization (cf. Bregman distance), as … hayward pool bottom drainWebDec 16, 2024 · Bregman functions enables us to construct suitable error measures and es- tablish global convergenc e rates for nonconve x and nonsmooth objectives in possibly high dimensions. For sparse... boucher torontoWebMay 22, 2024 · A Bregman divergence is defined as D ( p, q) = F ( p) − F ( q) − < ∇ F ( q), p − q > with F a strictly convex function of the Legendre type. Squared Euclidian distance is a Bregman divergence, with F ( x) = x 2. boucher toyotaWebMay 30, 2024 · Bregman distances have also been used to generate generalized proximal point methods for convex optimization and variational inequalities (cf. … boucher toyota milwaukeeWebWhile practical influence function estimates may be a poor match to leave-one-out retraining for nonlinear networks, we show that they are often a good approximation to a different object we term the proximal Bregman response function (PBRF). Since the PBRF can still be used to answer many of the questions motivating influence functions, such ... boucher the artistWebL. M. Bregman, The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming, Comput. Math. Math. … hayward pool cartridge filter cleaningWebFeb 1, 1993 · Abstract A Bregman function is a strictly convex, differentiable function that induces a well-behaved distance measure or D-function on Euclidean space. This paper … hayward pool cartridge filter housing