Search Results - Approximation proximal gradient algorithm
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An approximation proximal gradient algorithm for nonconvex-linear minimax problems with nonconvex nonsmooth terms
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.09.2024Published in Journal of global optimization (01.09.2024)“… In this paper, we propose an efficient approximation proximal gradient algorithm for solving a class of nonsmooth nonconvex-linear minimax problems with a nonconvex nonsmooth term, and the number…”
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Stochastic proximal-gradient algorithms for penalized mixed models
ISSN: 0960-3174, 1573-1375Published: New York Springer US 01.03.2019Published in Statistics and computing (01.03.2019)“… can be approximated by a Monte Carlo technique. We propose a new algorithm based on a stochastic approximation of the proximal-gradient (PG) algorithm…”
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Fast nonnegative tensor factorization based on accelerated proximal gradient and low-rank approximation
ISSN: 0925-2312, 1872-8286Published: Elsevier B.V 19.07.2016Published in Neurocomputing (Amsterdam) (19.07.2016)“… In this study, we propose a new algorithm called FastNTF_APG to speed up NTF by combining accelerated proximal gradient and low-rank approximation…”
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Smoothing composite proximal gradient algorithm for sparse group Lasso problems with nonsmooth loss functions
ISSN: 1598-5865, 1865-2085Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2024Published in Journal of applied mathematics & computing (01.06.2024)“… Then, based on the smooth approximation of the loss function, a smoothing composite proximal gradient (SCPG…”
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New inertial proximal gradient methods for unconstrained convex optimization problems
ISSN: 1029-242X, 1025-5834, 1029-242XPublished: Cham Springer International Publishing 07.12.2020Published in Journal of inequalities and applications (07.12.2020)“… In this paper, firstly, we propose inexact inertial acceleration methods based on the viscosity approximation and proximal scaled gradient algorithm to accelerate the convergence of the algorithm…”
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A dual active-set proximal Newton algorithm for sparse approximation of correlation matrices
ISSN: 1055-6788, 1029-4937Published: Abingdon Taylor & Francis 03.09.2022Published in Optimization methods & software (03.09.2022)“…In this paper, we propose a novel dual active-set algorithm that is based on proximal gradient and semi-smooth Newton iterations for the sparse approximation of correlation matrices in the Frobenius norm…”
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Automatic motion capture data denoising via filtered subspace clustering and low rank matrix approximation
ISSN: 0165-1684, 1872-7557Published: Amsterdam Elsevier B.V 01.12.2014Published in Signal processing (01.12.2014)“… piecewise motion always share the similar low dimensional subspace representation. Then, we employ the accelerated proximal gradient (APG…”
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Decentralized Proximal Gradient Algorithms With Linear Convergence Rates
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.06.2021Published in IEEE transactions on automatic control (01.06.2021)“…) for the class of algorithms that uses the gradients and the proximal mappings of the smooth and nonsmooth parts, respectively…”
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Convergence Rate Analysis of Viscosity Approximation based Gradient Algorithms
ISSN: 2161-4407Published: IEEE 01.07.2020Published in Proceedings of ... International Joint Conference on Neural Networks (01.07.2020)“… In this paper, we present a viscosity-approximation-based proximal gradient algorithm and prove its linear convergence rate…”
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Conference Proceeding -
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Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 03.10.2023Published in Optimization (03.10.2023)“…In this paper, we propose three kinds of inertial approximation methods based on the proximal gradient algorithm to accelerate the convergence of the algorithm for solving convex bilevel optimization problems…”
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Unmatched Preconditioning of the Proximal Gradient Algorithm
ISSN: 1070-9908, 1558-2361Published: New York IEEE 2022Published in IEEE signal processing letters (2022)“…This work addresses the resolution of penalized least-squares problems using the proximal gradient algorithm (PGA…”
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A successive difference-of-convex approximation method for a class of nonconvex nonsmooth optimization problems
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2019Published in Mathematical programming (01.07.2019)“…: the corresponding proximal mapping can be hard to compute so that standard first-order methods such as the proximal gradient algorithm cannot be applied efficiently…”
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A Fast Proximal Gradient Algorithm to Solve Electromagnetic Inverse Scattering Problems
Published: IEEE 01.10.2019Published in 2019 Computing, Communications and IoT Applications (ComComAp) (01.10.2019)“…). In this paper, we propose three methods to solve it using the proximal gradient algorithm (PGA) based on the Born approximation…”
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Conference Proceeding -
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Improved Step-Size Schedules for Proximal Noisy Gradient Methods
ISSN: 1053-587X, 1941-0476, 1941-0476Published: New York IEEE 2023Published in IEEE transactions on signal processing (2023)“…Noisy gradient algorithms have emerged as one of the most popular algorithms for distributed optimization with massive data…”
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Decentralized Inexact Proximal Gradient Method With Network-Independent Stepsizes for Convex Composite Optimization
ISSN: 1053-587X, 1941-0476Published: New York IEEE 01.01.2023Published in IEEE transactions on signal processing (01.01.2023)“…This paper proposes a novel CTA (Combine-Then-Adapt)-based decentralized algorithm for solving convex composite optimization problems over undirected and connected networks…”
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A smoothing proximal gradient algorithm with extrapolation for the relaxation of ℓ0 regularization problem
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.04.2023Published in Computational optimization and applications (01.04.2023)“… (SIAM J Numer Anal 58:858–883, 2020) and propose a smoothing proximal gradient algorithm with extrapolation (SPGE…”
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Convergence of Stochastic Proximal Gradient Algorithm
ISSN: 0095-4616, 1432-0606Published: New York Springer US 01.12.2020Published in Applied mathematics & optimization (01.12.2020)“…We study the extension of the proximal gradient algorithm where only a stochastic gradient estimate is available and a relaxation step is allowed…”
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A smoothing proximal gradient algorithm for matrix rank minimization problem
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.03.2022Published in Computational optimization and applications (01.03.2022)“… Then the smoothing proximal gradient (SPG) algorithm is proposed to find a lifted stationary point of the continuous relaxation model. Moreover, it is shown that any accumulating point of the sequence generated by SPG algorithm is a lifted stationary point. At last, numerical examples show the efficiency of the SPG algorithm…”
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A Proximal–Based Algorithm for Piecewise Sparse Approximation with Application to Scattered Data Fitting
ISSN: 1641-876X, 2083-8492Published: Zielona Góra Sciendo 01.12.2022Published in International journal of applied mathematics and computer science (01.12.2022)“… In this paper, we propose a piecewise sparse approximation model and a piecewise proximal gradient method (JPGA…”
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Training Compact DNNs with ℓ1/2 Regularization
ISSN: 0031-3203, 1873-5142Published: Elsevier Ltd 01.04.2023Published in Pattern recognition (01.04.2023)“…•We give a closed-form, threshold solution to the proximal operator of ℓ1/2, and consequently design a stochastic proximal gradient algorithm to train the resulting model…”
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