A Stochastic Proximal Alternating Minimization for Nonsmooth and Nonconvex Optimization

Derek Driggs; Junqi Tang; Jingwei Liang; Mike Davies; Carola-Bibiane Schönlieb

doi:10.1137/20m1387213

A Stochastic Proximal Alternating Minimization for Nonsmooth and Nonconvex Optimization

SIAM Journal on Imaging Sciences ◽

10.1137/20m1387213 ◽

2021 ◽

Vol 14 (4) ◽

pp. 1932-1970

Author(s):

Derek Driggs ◽

Junqi Tang ◽

Jingwei Liang ◽

Mike Davies ◽

Carola-Bibiane Schönlieb

Keyword(s):

Nonconvex Optimization ◽

Alternating Minimization ◽

Nonsmooth And Nonconvex Optimization

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An Inertial Tseng’s Type Proximal Algorithm for Nonsmooth and Nonconvex Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-015-0730-z ◽

2015 ◽

Vol 171 (2) ◽

pp. 600-616 ◽

Cited By ~ 35

Author(s):

Radu Ioan Boţ ◽

Ernö Robert Csetnek

Keyword(s):

Nonconvex Optimization ◽

Optimization Problems ◽

Proximal Algorithm ◽

Nonconvex Optimization Problems ◽

Nonsmooth And Nonconvex Optimization

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Nonsmooth and Nonconvex Optimization for the Design and Order Reduction of Robust Controllers Used in Smart Structures

Computational Methods in Applied Sciences - Computational Methods in Earthquake Engineering ◽

10.1007/978-94-007-6573-3_26 ◽

2013 ◽

pp. 569-589

Author(s):

A. J. Moutsopoulou ◽

A. T. Pouliezos ◽

G. E. Stavroulakis

Keyword(s):

Nonconvex Optimization ◽

Smart Structures ◽

Order Reduction ◽

Robust Controllers ◽

Nonsmooth And Nonconvex Optimization

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Nonsmooth and Nonconvex Optimization via Approximate Difference-of-Convex Decompositions

Journal of Optimization Theory and Applications ◽

10.1007/s10957-019-01500-3 ◽

2019 ◽

Vol 182 (1) ◽

pp. 49-80 ◽

Cited By ~ 6

Author(s):

Wim van Ackooij ◽

Welington de Oliveira

Keyword(s):

Nonconvex Optimization ◽

Difference Of Convex ◽

Nonsmooth And Nonconvex Optimization

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The exact penalty map for nonsmooth and nonconvex optimization

Optimization ◽

10.1080/02331934.2013.830117 ◽

2013 ◽

Vol 64 (4) ◽

pp. 717-738 ◽

Cited By ~ 4

Author(s):

Regina S. Burachik ◽

Alfredo N. Iusem ◽

Jefferson G. Melo

Keyword(s):

Nonconvex Optimization ◽

Exact Penalty ◽

Nonsmooth And Nonconvex Optimization

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Interior Epigraph Directions method for nonsmooth and nonconvex optimization via generalized augmented Lagrangian duality

Journal of Global Optimization ◽

10.1007/s10898-013-0108-4 ◽

2013 ◽

Vol 60 (3) ◽

pp. 501-529 ◽

Cited By ~ 4

Author(s):

Regina S. Burachik ◽

Wilhelm P. Freire ◽

C. Yalçın Kaya

Keyword(s):

Nonconvex Optimization ◽

Augmented Lagrangian ◽

Lagrangian Duality ◽

Nonsmooth And Nonconvex Optimization

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Genetic search - An approach to the nonconvex optimization problem

10.2514/6.1989-1177 ◽

1989 ◽

Cited By ~ 5

Author(s):

P. HAJELA

Keyword(s):

Nonconvex Optimization ◽

Optimization Problem ◽

Genetic Search

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Two-Step Codebook-Assisted Alternating Minimization (CA-AltMin) for Low-Complexity Hybrid Beamforming Design

IEEE Communications Letters ◽

10.1109/lcomm.2021.3061884 ◽

2021 ◽

pp. 1-1

Author(s):

Sin-Sheng Wong ◽

Chieh-Fang Teng ◽

An-Yeu Wu

Keyword(s):

Low Complexity ◽

Alternating Minimization ◽

Hybrid Beamforming

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Constrained Distributed Nonconvex Optimization over Time-varying Directed Graphs

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304164 ◽

2020 ◽

Author(s):

Zhiyu He ◽

Jianping He ◽

Cailian Chen ◽

Xinping Guan

Keyword(s):

Nonconvex Optimization ◽

Directed Graphs ◽

Time Varying ◽

Over Time

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A partially proximal linearized alternating minimization method for finding Dantzig selectors

Computational and Applied Mathematics ◽

10.1007/s40314-021-01450-5 ◽

2021 ◽

Vol 40 (2) ◽

Author(s):

Xiaoyu Mao ◽

Hongjin He ◽

Hong-Kun Xu

Keyword(s):

Alternating Minimization ◽

Minimization Method ◽

Alternating Minimization Method

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An ADMM-based SQP method for separably smooth nonconvex optimization

Journal of Inequalities and Applications ◽

10.1186/s13660-020-02347-3 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Meixing Liu ◽

Jinbao Jian

Keyword(s):

Nonconvex Optimization ◽

Sqp Method

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