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1
Optimization with Sparsity-Inducing Penalties
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Book
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Optimization with Sparsity-Inducing Penalties

Foundations and trends in machine learning, 2012 [Peer Reviewed Journal]

Distributed under a Creative Commons Attribution 4.0 International License ;ISSN: 1935-8237 ;EISSN: 1935-8245 ;DOI: 10.1561/2200000015

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2
The derivatives of Sinkhorn-Knopp converge
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Article
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The derivatives of Sinkhorn-Knopp converge

SIAM journal on optimization, 2023, Vol.33 (3) [Peer Reviewed Journal]

2022. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;Distributed under a Creative Commons Attribution 4.0 International License ;ISSN: 1052-6234 ;EISSN: 2331-8422 ;EISSN: 1095-7189 ;DOI: 10.48550/arxiv.2207.12717

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3
Toric Geometry of Entropic Regularization
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Article
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Toric Geometry of Entropic Regularization

arXiv.org, 2022-02 [Peer Reviewed Journal]

2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://creativecommons.org/licenses/by/4.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2202.01571

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4
Unbalanced Optimal Transport, from Theory to Numerics
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Article
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Unbalanced Optimal Transport, from Theory to Numerics

arXiv.org, 2023-01 [Peer Reviewed Journal]

2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://creativecommons.org/licenses/by/4.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2211.08775

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5
Variance-reduction for Variational Inequality Problems with Bregman Distance Function
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Article
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Variance-reduction for Variational Inequality Problems with Bregman Distance Function

arXiv.org, 2024-05

2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2405.10735

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6
Improved Complexity Analysis of the Sinkhorn and Greenkhorn Algorithms for Optimal Transport
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Article
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Improved Complexity Analysis of the Sinkhorn and Greenkhorn Algorithms for Optimal Transport

arXiv.org, 2023-10

2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://creativecommons.org/licenses/by/4.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2305.14939

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7
high-order proximal point algorithm for the monotone variational inequality problem and its application
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Article
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high-order proximal point algorithm for the monotone variational inequality problem and its application

arXiv.org, 2023-08

2023. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2308.07689

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8
A novel approach to find the minimum of real functions and an anomalous test function
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Article
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A novel approach to find the minimum of real functions and an anomalous test function

arXiv.org, 2023-07

2023. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2307.10427

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9
Optimal Convergence Rate for Mirror Descent Methods with special Time-Varying Step Sizes Rules
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Article
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Optimal Convergence Rate for Mirror Descent Methods with special Time-Varying Step Sizes Rules

arXiv.org, 2024-05

2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2401.04754

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10
Adaptive Variant of Frank-Wolfe Method for Relative Smooth Convex Optimization Problems
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Article
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Adaptive Variant of Frank-Wolfe Method for Relative Smooth Convex Optimization Problems

arXiv.org, 2024-05

2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2405.12948

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11
Effective Front-Descent Algorithms with Convergence Guarantees
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Article
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Effective Front-Descent Algorithms with Convergence Guarantees

arXiv.org, 2024-05

2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2405.08450

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12
Duality-based single-level reformulations of bilevel optimization problems
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Article
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Duality-based single-level reformulations of bilevel optimization problems

arXiv.org, 2024-05

2024. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://creativecommons.org/licenses/by-nc-nd/4.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2405.07672

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13
Projective splitting with backward, half-forward and proximal-Newton steps
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Article
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Projective splitting with backward, half-forward and proximal-Newton steps

arXiv.org, 2024-05

2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://creativecommons.org/licenses/by/4.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2208.10680

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14
Multi-Agent Coverage Control with Transient Behavior Consideration
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Article
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Multi-Agent Coverage Control with Transient Behavior Consideration

arXiv.org, 2024-04

2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2404.05995

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15
Popov Mirror-Prox for solving Variational Inequalities
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Article
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Popov Mirror-Prox for solving Variational Inequalities

arXiv.org, 2024-03

2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://creativecommons.org/licenses/by/4.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2404.00635

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16
Review of Large-Scale Simulation Optimization
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Article
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Review of Large-Scale Simulation Optimization

arXiv.org, 2024-03

2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://creativecommons.org/licenses/by/4.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2403.15669

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17
A Unified Inexact Stochastic ADMM for Composite Nonconvex and Nonsmooth Optimization
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Article
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A Unified Inexact Stochastic ADMM for Composite Nonconvex and Nonsmooth Optimization

arXiv.org, 2024-03

2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2403.02015

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18
Inexact Restoration via random models for unconstrained noisy optimization
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Article
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Inexact Restoration via random models for unconstrained noisy optimization

arXiv.org, 2024-02

2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2402.12069

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19
Accelerated Zero-Order SGD Method for Solving the Black Box Optimization Problem under "Overparametrization" Condition
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Article
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Accelerated Zero-Order SGD Method for Solving the Black Box Optimization Problem under "Overparametrization" Condition

arXiv.org, 2024-02

2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2307.12725

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20
Theoretical smoothing frameworks for general nonsmooth bilevel problems
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Article
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Theoretical smoothing frameworks for general nonsmooth bilevel problems

arXiv.org, 2024-01

2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://creativecommons.org/licenses/by/4.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2401.17852

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