A unified Douglas–Rachford algorithm for generalized DC programming
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Global Optimization"
DOI: 10.1007/s10898-021-01079-y
Abstract: We consider a class of generalized DC (difference-of-convex functions) programming, which refers to the problem of minimizing the sum of two convex (possibly nonsmooth) functions minus one smooth convex part. To efficiently exploit the structure… read more here.
Keywords: algorithm generalized; douglas rachford; unified douglas; algorithm ... See more keywords
Convergence analysis of two-step inertial Douglas-Rachford algorithm and application
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-021-01554-5
Abstract: Monotone inclusion problems are crucial to solve engineering problems and problems arising in different branches of science. In this paper, we propose a novel two-step inertial Douglas-Rachford algorithm to solve the monotone inclusion problem of… read more here.
Keywords: two step; step inertial; rachford algorithm; inertial douglas ... See more keywords
The cyclic Douglas–Rachford algorithm with r-sets-Douglas–Rachford operators
Sign Up to like & getrecommendations! Published in 2019 at "Optimization Methods and Software"
DOI: 10.1080/10556788.2018.1504049
Abstract: ABSTRACT The Douglas–Rachford (DR) algorithm is an iterative procedure that uses sequential reflections onto convex sets and which has become popular for convex feasibility problems. In this paper we propose a structural generalization that allows… read more here.
Keywords: douglas rachford; rachford; operators cyclic; cyclic douglas ... See more keywords
A Control-Theoretic Approach to Analysis and Parameter Selection of Douglas–Rachford Splitting
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DOI: 10.1109/lcsys.2019.2922669
Abstract: Douglas–Rachford splitting and its equivalent dual formulation ADMM are widely used iterative methods in composite optimization problems arising in control and machine learning applications. The performance of these algorithms depends on the choice of step… read more here.
Keywords: tex math; parameter selection; analysis parameter; inline formula ... See more keywords
Semi-implicit relaxed Douglas-Rachford algorithm (sDR) for ptychography.
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DOI: 10.1364/oe.27.031246
Abstract: Alternating projection based methods, such as ePIE and rPIE, have been used widely in ptychography. However, they only work well if there are adequate measurements (diffraction patterns); in the case of sparse data (i.e. fewer… read more here.
Keywords: semi implicit; sdr; relaxed douglas; implicit relaxed ... See more keywords
Douglas-Rachford Splitting Method with Linearization for the Split Feasibility Problem
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DOI: 10.3390/sym14030537
Abstract: The aim of this article is to introduce the Douglas–Rachford splitting method with linearization to solve the split feasibility problem (SFP). Our proposed method includes two existing methods in work of Tang et al. and… read more here.
Keywords: split feasibility; method linearization; feasibility problem; splitting method ... See more keywords