Search Results - block‐coordinate gradient descent algorithm
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A novel block‐coordinate gradient descent algorithm for simultaneous grouped selection of fixed and random effects in joint modeling
ISSN: 0277-6715, 1097-0258, 1097-0258Published: Hoboken, USA John Wiley & Sons, Inc 15.10.2024Published in Statistics in medicine (15.10.2024)“… In this article, we propose a novel block‐coordinate gradient descent (BCGD) algorithm to simultaneously select multiple longitudinal covariates that may carry…”
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Convergence of Gradient-Based Block Coordinate Descent Algorithms for Nonorthogonal Joint Approximate Diagonalization of Matrices
ISSN: 0895-4798, 1095-7162Published: 01.01.2023Published in SIAM journal on matrix analysis and applications (01.01.2023)Get full text
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Convergence of gradient-based block coordinate descent algorithms for non-orthogonal joint approximate diagonalization of matrices
ISSN: 0895-4798, 1095-7162Published: Society for Industrial and Applied Mathematics 27.04.2023Published in SIAM journal on matrix analysis and applications (27.04.2023)“…In this paper, we propose a gradient based block coordinate descent (BCD-G) framework to solve the joint approximate diagonalization of matrices defined on the product of the complex Stiefel manifold and the special linear group…”
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A Block Coordinate Descent-Based Projected Gradient Algorithm for Orthogonal Non-Negative Matrix Factorization
ISSN: 2227-7390, 2227-7390Published: MDPI AG 01.03.2021Published in Mathematics (Basel) (01.03.2021)“…), where one or both matrix factors must have orthonormal columns or rows. We penalize the orthonormality constraints and apply the PG method via a block coordinate descent approach…”
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Iteration complexity analysis of block coordinate descent methods
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2017Published in Mathematical programming (01.05.2017)“…In this paper, we provide a unified iteration complexity analysis for a family of general block coordinate descent methods, covering popular methods such as the block coordinate gradient descent…”
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An Improved Adam Optimization Algorithm Combining Adaptive Coefficients and Composite Gradients Based on Randomized Block Coordinate Descent
ISSN: 1687-5265, 1687-5273, 1687-5273Published: United States Hindawi 2023Published in Computational intelligence and neuroscience (2023)“…An improved Adam optimization algorithm combining adaptive coefficients and composite gradients based on randomized block coordinate descent is proposed to address issues of the Adam algorithm…”
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Structured feature selection using coordinate descent optimization
ISSN: 1471-2105, 1471-2105Published: London BioMed Central 08.04.2016Published in BMC bioinformatics (08.04.2016)“… optimization problems so that the problem can be solved by any standard optimization algorithm…”
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Convergence of gradient-based block coordinate descent algorithms for non-orthogonal joint approximate diagonalization of matrices
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 25.04.2023Published in arXiv.org (25.04.2023)“…In this paper, we propose a gradient-based block coordinate descent (BCD-G) framework to solve the joint approximate diagonalization of matrices defined on the product of the complex Stiefel manifold and the special linear group…”
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A Local Block Coordinate Descent Algorithm for the CSC Model
ISSN: 1063-6919Published: IEEE 01.06.2019Published in Proceedings (IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Online) (01.06.2019)“… In this work we propose a new and simple approach that adopts a localized strategy, based on the Block Coordinate Descent algorithm…”
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Conference Proceeding -
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A Block Coordinate Descent-based Projected Gradient Algorithm for Orthogonal Non-negative Matrix Factorization
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 23.03.2020Published in arXiv.org (23.03.2020)“…), where one or both matrix factors must have orthonormal columns or rows. We penalise the orthonormality constraints and apply the PG method via a block coordinate descent approach…”
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Robust Low-Rank Tensor Recovery With Regularized Redescending M-Estimator
ISSN: 2162-237X, 2162-2388, 2162-2388Published: United States IEEE 01.09.2016Published in IEEE transaction on neural networks and learning systems (01.09.2016)“…This paper addresses the robust low-rank tensor recovery problems. Tensor recovery aims at reconstructing a low-rank tensor from some linear measurements,…”
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Low-rank matrix factorization with nonconvex regularization and bilinear decomposition
ISSN: 0165-1684Published: Elsevier B.V 01.12.2022Published in Signal processing (01.12.2022)“…•A non-convex bilinear low-rank matrix factorization model is proposed.•A block coordinate descent based algorithm is derived with convergence conditions…”
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Online Learning for DNN Training: A Stochastic Block Adaptive Gradient Algorithm
ISSN: 1687-5265, 1687-5273, 1687-5273Published: United States Hindawi 2022Published in Computational intelligence and neuroscience (2022)“… In this algorithm, stochastic block coordinate descent and the adaptive learning rate are utilized at each iteration…”
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Direct Optimization of the Dictionary Learning Problem
ISSN: 1053-587X, 1941-0476Published: New York, NY IEEE 01.11.2013Published in IEEE transactions on signal processing (01.11.2013)“… The algorithm we advocate simply performs a joint proximal gradient descent step over the dictionary atoms and the coefficient matrix…”
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FedBCD: A Communication-Efficient Collaborative Learning Framework for Distributed Features
ISSN: 1053-587X, 1941-0476Published: New York IEEE 2022Published in IEEE transactions on signal processing (2022)“… over sharing such messages during learning. We propose a Federated Stochastic Block Coordinate Descent (FedBCD…”
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Distributed algorithms for computing a fixed point of multi-agent nonexpansive operators
ISSN: 0005-1098, 1873-2836Published: Elsevier Ltd 01.12.2020Published in Automatica (Oxford) (01.12.2020)“… To solve the problem, two algorithms are developed, called distributed Krasnosel’skiĭ–Mann (D-KM) and distributed block-coordinate…”
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Asynchronous incremental block-coordinate descent
Published: IEEE 01.09.2014Published in 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton) (01.09.2014)“… In our algorithm, a coordinator updates a global iterate based on delayed partial gradients of the individual objective functions with respect to blocks of coordinates…”
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Conference Proceeding -
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Stochastic Augmented Projected Gradient Methods for the Large-Scale Precoding Matrix Indicator Selection Problem
ISSN: 1536-1276, 1558-2248Published: New York IEEE 01.11.2022Published in IEEE transactions on wireless communications (01.11.2022)“… The discrete constraints in the formulations make the problem NP-hard. Then we propose a stochastic projected gradient method augmented by block coordinate descent under various strategies…”
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Inexact Block Coordinate Descent Algorithms for Nonsmooth Nonconvex Optimization
ISSN: 1053-587X, 1941-0476Published: New York IEEE 2020Published in IEEE transactions on signal processing (2020)“…In this paper, we propose an inexact block coordinate descent algorithm for large-scale nonsmooth nonconvex optimization problems…”
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A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion
ISSN: 1936-4954, 1936-4954Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013Published in SIAM journal on imaging sciences (01.01.2013)“… We review some interesting applications and propose a generalized block coordinate descent method…”
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