Search Results - "forward-backward splitting algorithm"

Convergence rate analysis of proximal gradient methods with applications to composite minimization problems by Sahu, D. R., Yao, J. C., Verma, M., Shukla, K. K.

“…First-order methods such as proximal gradient, which use Forward-Backward Splitting techniques have proved to be very effective in solving nonsmooth convex…”
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Four-operator reflected forward-backward algorithm for solving monotone inclusions involving Lipschitzian operator by Cao, Yu, Wang, Yuanheng, Ur Rehman, Habib, Shehu, Yekini, Yao, Jen-Chih

“…In this work, using a discretisation of continuous-time dynamical systems, we design a novel splitting algorithm without the lifting technique for finding the…”
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Convergence of Stochastic Proximal Gradient Algorithm by Rosasco, Lorenzo, Villa, Silvia, Vũ, Bằng Công

“…We study the extension of the proximal gradient algorithm where only a stochastic gradient estimate is available and a relaxation step is allowed. We establish…”
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A novel dictionary learning method for sparse representation with nonconvex regularizations by Tan, Benying, Li, Yujie, Zhao, Haoli, Li, Xiang, Ding, Shuxue

“…In dictionary learning, sparse regularization is used to promote sparsity and has played a major role in the developing of dictionary learning algorithms…”
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Non-convex Total Variation Regularization for Convex Denoising of Signals by Selesnick, Ivan, Lanza, Alessandro, Morigi, Serena, Sgallari, Fiorella

“…Total variation (TV) signal denoising is a popular nonlinear filtering method to estimate piecewise constant signals corrupted by additive white Gaussian…”
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An inertial Mann forward-backward splitting algorithm of variational inclusion problems and its applications by Peeyada, Pronpat, Suparatulatorn, Raweerote, Cholamjiak, Watcharaporn

“…In this paper, we introduce the inertial Mann forward-backward splitting algorithm for solving variational inclusion problem of the sum of two operators, the…”
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Deep hypergraph regularized $$L_{p}$$ L p smooth semi-nonnegative matrix factorization for hierarchical clustering analysis by Shunli Li, Ling Wang, Mingjun Bai

“…Abstract In recent years, deep matrix factorization (DMF) has garnered significant attention for its effectiveness in various artificial intelligence…”
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Single-particle reconstruction in cryo-EM based on three-dimensional weighted nuclear norm minimization by Huang, Chaoyan, Wu, Tingting, Li, Juncheng, Dong, Bin, Zeng, Tieyong

“…•Firstly, to overcome the over-smooth and the staircase effects of the TV-based reconstruction models, we apply the low rank-based model to better suppress the…”
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On the optimal relaxation parameters of Krasnosel'ski-Mann iteration by He, Songnian, Dong, Qiao-Li, Tian, Hanlin, Li, Xiao-Huan

“…This paper is devoted to the optimal selection of the relaxation parameter sequence for Krasnosel'ski-Mann iteration. Firstly, we establish the optimal…”
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A forward-backward penalty scheme with inertial effects for monotone inclusions. Applications to convex bilevel programming by Boţ, Radu Ioan, Nguyen, Dang-Khoa

“…We investigate a forward-backward splitting algorithm of penalty type with inertial effects for finding the zeros of the sum of a maximally monotone operator…”
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Variable metric forward-backward splitting with applications to monotone inclusions in duality by Combettes, Patrick L., Vũ, Băng C.

“…We propose a variable metric forward-backward splitting algorithm and prove its convergence in real Hilbert spaces. We then use this framework to derive…”
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Primal-dual fixed point algorithm based on adapted metric method for solving convex minimization problem with application by Huang, Wenli, Tang, Yuchao

“…Optimization problems involving the sum of three convex functions have received much attention in recent years, where one is differentiable with Lipschitz…”
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Splitting algorithms for solving state-dependent maximal monotone inclusion problems by Li, Xiaoxiao, Dong, Qiao-Li, Gibali, Aviv

“…We consider the state-dependent maximal monotone inclusion problem and propose forward-backward splitting algorithms for solving it. Strong convergence of the…”
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Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints by Boţ, Radu Ioan, Nguyen, Dang-Khoa, Zong, Chunxiang

“…In this paper, we derive a Fast Reflected Forward-Backward (Fast RFB) algorithm to solve the problem of finding a zero of the sum of a maximally monotone…”
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New analysis of linear convergence of gradient-type methods via unifying error bound conditions by Zhang, Hui

“…This paper reveals that a common and central role, played in many error bound (EB) conditions and a variety of gradient-type methods, is a residual measure…”
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Enhanced Double Inertial Forward–Backward Splitting Algorithm for Variational Inclusion Problems: Applications in Mathematical Integrated Skill Prediction by Jun-On, Nipa, Cholamjiak, Watcharaporn

“…This paper introduces a new algorithm that combines the forward–backward splitting algorithms with a double inertial technique, utilizing the previous three…”
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Iterative algorithm for solving monotone inclusion and fixed point problem of a finite family of demimetric mappings by Anjali, Mehra, Seema, Chugh, Renu, Haque, Salma, Mlaiki, Nabil

“…The goal of this study is to develop a novel iterative algorithm for approximating the solutions of the monotone inclusion problem and fixed point problem of a…”
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A modified projective forward-backward splitting algorithm for variational inclusion problems to predict Parkinson's disease by Cholamjiak, Watcharaporn, Das, Shilpa

“…This research studies variational inclusion problems, which is a branch of optimization. A modified projective forward-backward splitting algorithm is…”
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Convergence rates of the modified forward reflected backward splitting algorithm in Banach spaces by Guan, Weibo, Song, Wen

“…Consider the problem of minimizing the sum of two convex functions, one being smooth and the other non-smooth in Banach space. In this paper, we introduce a…”
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A new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problems by Altiparmak, Ebru, Karahan, Ibrahim

“…Finding a zero of the sum of two monotone operators is one of the most important problems in monotone operator theory, and the forward-backward algorithm is…”
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