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1
Global Convergence of ADMM in Nonconvex Nonsmooth Optimization
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Article
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Global Convergence of ADMM in Nonconvex Nonsmooth Optimization

Journal of scientific computing, 2019-01, Vol.78 (1), p.29-63 [Peer Reviewed Journal]

Springer Science+Business Media, LLC, part of Springer Nature 2018 ;Springer Science+Business Media, LLC, part of Springer Nature 2018. ;ISSN: 0885-7474 ;EISSN: 1573-7691 ;DOI: 10.1007/s10915-018-0757-z

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2
On the Global and Linear Convergence of the Generalized Alternating Direction Method of Multipliers
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Article
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On the Global and Linear Convergence of the Generalized Alternating Direction Method of Multipliers

Journal of scientific computing, 2016-03, Vol.66 (3), p.889-916 [Peer Reviewed Journal]

Springer Science+Business Media New York 2015 ;Springer Science+Business Media New York 2015. ;ISSN: 0885-7474 ;EISSN: 1573-7691 ;DOI: 10.1007/s10915-015-0048-x

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3
A Globally Convergent Algorithm for Nonconvex Optimization Based on Block Coordinate Update
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Article
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A Globally Convergent Algorithm for Nonconvex Optimization Based on Block Coordinate Update

Journal of scientific computing, 2017-08, Vol.72 (2), p.700-734 [Peer Reviewed Journal]

Springer Science+Business Media New York 2017 ;Springer Science+Business Media New York 2017. ;ISSN: 0885-7474 ;EISSN: 1573-7691 ;DOI: 10.1007/s10915-017-0376-0

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4
A New Primal–Dual Algorithm for Minimizing the Sum of Three Functions with a Linear Operator
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Article
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A New Primal–Dual Algorithm for Minimizing the Sum of Three Functions with a Linear Operator

Journal of scientific computing, 2018-09, Vol.76 (3), p.1698-1717 [Peer Reviewed Journal]

Springer Science+Business Media, LLC, part of Springer Nature 2018 ;Springer Science+Business Media, LLC, part of Springer Nature 2018. ;ISSN: 0885-7474 ;EISSN: 1573-7691 ;DOI: 10.1007/s10915-018-0680-3

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5
Optimization algorithms on matrix manifolds
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Book
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Optimization algorithms on matrix manifolds

2008 Princeton University Press ;ISBN: 9780691132983 ;ISBN: 0691132984 ;ISBN: 1400830249 ;ISBN: 9781400830244 ;EISBN: 1400830249 ;EISBN: 9781400830244 ;DOI: 10.1515/9781400830244 ;OCLC: 438732716 ;LCCallNum: QA402.5

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6
Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution
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Article
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Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution

Foundations of computational mathematics, 2020-06, Vol.20 (3), p.451-632 [Peer Reviewed Journal]

The Author(s) 2019 ;ISSN: 1615-3375 ;EISSN: 1615-3383 ;DOI: 10.1007/s10208-019-09429-9

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7
Nonsmooth optimization via quasi-Newton methods
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Article
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Nonsmooth optimization via quasi-Newton methods

Mathematical programming, 2013-10, Vol.141 (1-2), p.135-163 [Peer Reviewed Journal]

Springer and Mathematical Optimization Society 2012 ;Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2013 ;ISSN: 0025-5610 ;EISSN: 1436-4646 ;DOI: 10.1007/s10107-012-0514-2 ;CODEN: MHPGA4

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8
Accelerated gradient methods for nonconvex nonlinear and stochastic programming
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Article
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Accelerated gradient methods for nonconvex nonlinear and stochastic programming

Mathematical programming, 2016-03, Vol.156 (1-2), p.59-99 [Peer Reviewed Journal]

Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2015 ;Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2016 ;ISSN: 0025-5610 ;EISSN: 1436-4646 ;DOI: 10.1007/s10107-015-0871-8 ;CODEN: MHPGA4

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9
On the linear convergence of the alternating direction method of multipliers
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Article
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On the linear convergence of the alternating direction method of multipliers

Mathematical programming, 2017-03, Vol.162 (1-2), p.165-199 [Peer Reviewed Journal]

Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2016 ;Mathematical Programming is a copyright of Springer, 2017. ;ISSN: 0025-5610 ;EISSN: 1436-4646 ;DOI: 10.1007/s10107-016-1034-2 ;CODEN: MHPGA4

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10
Recent advances in trust region algorithms
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Article
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Recent advances in trust region algorithms

Mathematical programming, 2015-06, Vol.151 (1), p.249-281 [Peer Reviewed Journal]

Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2015 ;ISSN: 0025-5610 ;EISSN: 1436-4646 ;DOI: 10.1007/s10107-015-0893-2 ;CODEN: MHPGA4

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11
Parallel Multi-Block ADMM with o(1 / k) Convergence
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Article
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Parallel Multi-Block ADMM with o(1 / k) Convergence

Journal of scientific computing, 2017-05, Vol.71 (2), p.712-736 [Peer Reviewed Journal]

Springer Science+Business Media New York 2016 ;Springer Science+Business Media New York 2016. ;ISSN: 0885-7474 ;EISSN: 1573-7691 ;DOI: 10.1007/s10915-016-0318-2

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12
On the ergodic convergence rates of a first-order primal–dual algorithm
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Article
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On the ergodic convergence rates of a first-order primal–dual algorithm

Mathematical programming, 2016-09, Vol.159 (1-2), p.253-287 [Peer Reviewed Journal]

Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2015 ;Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2016 ;ISSN: 0025-5610 ;EISSN: 1436-4646 ;DOI: 10.1007/s10107-015-0957-3 ;CODEN: MHPGA4

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13
Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis
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Article
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Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis

Computational optimization and applications, 2019-01, Vol.72 (1), p.115-157 [Peer Reviewed Journal]

Springer Science+Business Media, LLC, part of Springer Nature 2018 ;Computational Optimization and Applications is a copyright of Springer, (2018). All Rights Reserved. ;ISSN: 0926-6003 ;EISSN: 1573-2894 ;DOI: 10.1007/s10589-018-0034-y

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14
The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent
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Article
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The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent

Mathematical programming, 2016, Vol.155 (1-2), p.57-79 [Peer Reviewed Journal]

Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2014 ;Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2016 ;ISSN: 0025-5610 ;EISSN: 1436-4646 ;DOI: 10.1007/s10107-014-0826-5 ;CODEN: MHPGA4

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15
Convergence and Complexity Analysis of a Levenberg–Marquardt Algorithm for Inverse Problems
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Article
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Convergence and Complexity Analysis of a Levenberg–Marquardt Algorithm for Inverse Problems

Journal of optimization theory and applications, 2020-06, Vol.185 (3), p.927-944 [Peer Reviewed Journal]

Springer Science+Business Media, LLC, part of Springer Nature 2020 ;Springer Science+Business Media, LLC, part of Springer Nature 2020. ;Distributed under a Creative Commons Attribution 4.0 International License ;ISSN: 0022-3239 ;EISSN: 1573-2878 ;DOI: 10.1007/s10957-020-01666-1

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16
Gradient methods for minimizing composite functions
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Article
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Gradient methods for minimizing composite functions

Mathematical programming, 2013-08, Vol.140 (1), p.125-161 [Peer Reviewed Journal]

Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2012 ;Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2013 ;ISSN: 0025-5610 ;EISSN: 1436-4646 ;DOI: 10.1007/s10107-012-0629-5 ;CODEN: MHPGA4

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17
Stochastic compositional gradient descent: algorithms for minimizing compositions of expected-value functions
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Article
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Stochastic compositional gradient descent: algorithms for minimizing compositions of expected-value functions

Mathematical programming, 2017, Vol.161 (1-2), p.419-449 [Peer Reviewed Journal]

Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2016 ;Mathematical Programming is a copyright of Springer, 2017. ;ISSN: 0025-5610 ;EISSN: 1436-4646 ;DOI: 10.1007/s10107-016-1017-3 ;CODEN: MHPGA4

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18
Dualize, Split, Randomize: Toward Fast Nonsmooth Optimization Algorithms
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Article
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Dualize, Split, Randomize: Toward Fast Nonsmooth Optimization Algorithms

Journal of optimization theory and applications, 2022-10, Vol.195 (1), p.102-130 [Peer Reviewed Journal]

The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 ;The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. ;ISSN: 0022-3239 ;EISSN: 1573-2878 ;DOI: 10.1007/s10957-022-02061-8

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19
A new projection and contraction method for solving split monotone variational inclusion, pseudomonotone variational inequality, and common fixed point problems
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Article
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A new projection and contraction method for solving split monotone variational inclusion, pseudomonotone variational inequality, and common fixed point problems

Computational & applied mathematics, 2023-02, Vol.42 (1), Article 3 [Peer Reviewed Journal]

The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. ;ISSN: 2238-3603 ;EISSN: 1807-0302 ;DOI: 10.1007/s40314-022-02138-0

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20
Global convergence rate analysis of unconstrained optimization methods based on probabilistic models
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Article
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Global convergence rate analysis of unconstrained optimization methods based on probabilistic models

Mathematical programming, 2018-06, Vol.169 (2), p.337-375 [Peer Reviewed Journal]

Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2017 ;Mathematical Programming is a copyright of Springer, (2017). All Rights Reserved. ;ISSN: 0025-5610 ;EISSN: 1436-4646 ;DOI: 10.1007/s10107-017-1137-4

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