Optimization and Control

[1] Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, No 1. Tsinghua Yuan, Beijing 100084, China Panagiotis E. Souganidis Department of Mathematics, The University of Chicago, 5734 S. University Ave., Chicago, IL 60637, USA Hung V. Tran Department of Mathematics, University of Wisconsin at Madison, 480 Lincoln Drive, Madison, WI 53706, USA

Analysis of PDEs Optimization and Control Probability mathscidoc:2206.03012

Discrete and Continuous Dynamical Systems - S, 11, (5), 915-939, 2018.10
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[2] Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity

Habib Ammari Department of Mathematics and Applications, Ecole Normale Sup ́erieure, 75005 Paris, France Elie Bretin Institut Camille Jordan, INSA de Lyon, Villeurbanne Cedex 69621, France Josselin Garnier Wenjia Jing Department of Mathematics and Applications, Ecole Normale Sup ́erieure, 75005 Paris, France Hyeonbae Kang Department of Mathematics, Inha University, Incheon 402-751, Korea Abdul Wahab Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt. 47040, Pakistan

Analysis of PDEs Optimization and Control mathscidoc:2206.03010

SIAM Journal on Imaging Sciences, 6, (4), 2174-2212, 2013.11
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[3] Target Identification Using Dictionary Matching of Generalized Polarization Tensors

Habib Ammari Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Thomas Boulier Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Josselin Garnier Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, 75205, Paris Cedex 13, France Wenjia Jing Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Hyeonbae Kang Department of Mathematics, Inha University, Incheon, 402-751, Korea Han Wang Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France

Analysis of PDEs Mathematical Physics Numerical Analysis and Scientific Computing Optimization and Control mathscidoc:2206.03006

Foundations of Computational Mathematics, 14, 27-62, 2013.9
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[4] Numerical methods for mean field games based on Gaussian processes and Fourier features

Chenchen Mou Department of Mathematics, City University of Hong Kong, Hong Kong, China Xianjin Yang Yau Mathematical Sciences Center, Tsinghua University, Haidian District, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Chao Zhou Department of Mathematics and Risk Management Institute, National University of Singapore, Singapore

Numerical Analysis and Scientific Computing Optimization and Control mathscidoc:2206.25007

Journal of Computational Physics, 460, (1), 111188, 2022.7
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[5] Tightness and Equivalence of Semidefinite Relaxations for MIMO Detection

Ruichen Jiang Department of Electronic Engineering, Tsinghua University, Beijing 100084, China Ya-Feng Liu State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China Chenglong Bao Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Bo Jiang School of Mathematical Sciences, Key Laboratory for NSLSCS of Jiangsu Province, Nanjing Normal University, Nanjing 210023, China

Optimization and Control mathscidoc:2206.27002

2021.9
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[6] A Semismooth Newton based Augmented Lagrangian Method for Nonsmooth Optimization on Matrix Manifolds

Yuhao Zhou Department of Computer Science and Technology, Tsinghua University, China Chenglong Bao Yau Mathematical Sciences Center, Tsinghua University, China and Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, China Chao Ding Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, China Jun Zhu Department of Computer Science and Technology, Tsinghua University, China

Optimization and Control mathscidoc:2206.27001

2021.11
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[7] The intrinsic Toeplitz structure and its applications in algebraic Riccati equations

Zhen-Chen Guo Department of Mathematics, Nanjing University Xin Liang Yau Mathematical Sciences Center, Tsinghua University, and Yanqi Lake Beijing Insti- tute of Mathematical Sciences and Applications

Optimization and Control mathscidoc:2204.27001

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[8] Kurdyka- Lojasiewicz exponent via inf-projection

Peiran Yu The Hong Kong Polytechnic University, Guoyin Li University of New South Wales Tingkei Pong The Hong Kong Polytechnic University,

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2108.25006

Foundations of Computational Mathematics, 2021.7
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[9] A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test

Haibin Chen Qufu Normal University, Rizhao, China Yannan Chen South China normal University, China Guoyin Li University of New South Wales Liqun Qi The Hong Kong Polytechnic University,

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2108.25005

25, (1), e2125, 2018.11
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[10] Exact Second-Order Cone Programming Relaxations for Some Nonconvex Minimax Quadratic Optimization Problems

V. Jeyakumar University of New South Wales Guoyin Li University of New South Wales

Optimization and Control mathscidoc:2108.27001

SIAM Journal on Optimization, 28, (1), 760–787, 2018.12
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[11] Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems

V. Jeyakumar University of New South Wales J.B. Lasserre LAAS-CNRS and Institute of Mathematics, Toulouse Guoyin Li University of New South Wales T.S. Pham University of Dalat

Numerical Analysis and Scientific Computing Optimization and Control mathscidoc:2108.25004

SIAM Journal on Optimization, 26, (1), 753–780, 2016.7
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[12] A note on alternating projections for ill-posed semidefinite feasibility problems

Dmitriy Drusvyatskiy University of Washington Guoyin Li University of New South Wales Henry Wolkowicz University of Waterloo

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2108.25003

Mathematical Programming, 162, 537-548, 2017.11
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[13] Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization

V. Jeyakumar University of New South Wales Guoyin Li University of New South Wales

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2108.25002

Mathematical Programming, 147, 171-206, 2014.6
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[14] Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets

J.M. Borwein University of Newcastle Guoyin Li University of New South Wales Liangjin Yao University of Newcastle

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2108.25001

SIAM Journal on Optimization, 24, (1), 498–527, 2014.10
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[15] Platform modelling and scheduling game with multiple intelligent cloud-computing pools for big data

Wanyang Dai Nanjing University

Dynamical Systems Optimization and Control Probability Statistics Theory and Methods,Data Analysis mathscidoc:2104.11001

MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 24, (5), 506-552, 2018.9
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[16] Decomposition methods for computing directional stationary solutions of a class of nonsmooth nonconvex optimization problems

Jongshi Pang University of Southern California Min Tao Nanjing University

Optimization and Control mathscidoc:2103.27002

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 28, (2), 1640–1669, 2018.5
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[17] Topological Data Assimilation using Wasserstein Distance

Li Long Department of Mathematics and Center of Geophysics, Harbin Institute of Technology, 150001 Harbin, People’s Republic of China Vidard Arthur Université Grenoble Alpes, Inria, CNRS, Grenoble INP, LJK, 38000 Grenoble, France Le Dimet Francois-Xavier Université Grenoble Alpes, Inria, CNRS, Grenoble INP, LJK, 38000 Grenoble, France Ma Jianwei Department of Mathematics and Center of Geophysics, Harbin Institute of Technology, 150001 Harbin, People’s Republic of China

Optimization and Control mathscidoc:2103.27001

Inverse Problems, 35, (1), 015006, 2019.1
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[18] Run-and-Inspect Method for Nonconvex Optimization and Global Optimality Bounds for R-Local Minimizers

Yifan Chen Yuejiao Sun University of California, Los Angeles Wotao Yin University of California, Los Angeles

Optimization and Control mathscidoc:2005.27001

Mathematical Programming, 2019
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[19] On the linear convergence of the alternating direction method of multipliers

Mingyi Hong University of Minnesota Zhi-Quan Luo Chinese University of Hong Kong (Shenzhen)

Optimization and Control mathscidoc:2004.27019

Mathematical Programming, 162, 2017
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[20] Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems

Mingyi Hong University of Minnesota Zhi-Quan Luo Chinese University of Hong Kong (Shenzhen)) Meisam Razaviyayn University of Southern California

Optimization and Control mathscidoc:2004.27018

Silver Award Paper in 2020

Siam Journal On Optimization, 26, (1), 2016.1
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[21] Distributed Non-Convex First-Order Optimization and Information Processing: Lower Complexity Bounds and Rate Optimal Algorithms

Haoran Sun University of Minnesota Mingyi Hong University of Minnesota

Optimization and Control Machine Learning mathscidoc:2004.27017

IEEE Transactions on Signal Processing, 67, (22), 5912-5928, 2019.9
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[22] Tight Coefficients of Averaged Operators via Scaled Relative Graph

Xinmeng Huang University of Science and Technology of China Ernest K. Ryu University of California, Los Angeles Wotao Yin University of California, Los Angeles

Optimization and Control mathscidoc:2004.27016

Journal of Mathematical Analysis and Applications, 2020.5
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[23] Low-M-Rank Tensor Completion and Robust Tensor PCA

Bo Jiang Shanghai University of Finance and Economics Shiqian Ma University of California, Davis Shuzhong Zhang University of Minnesota

Optimization and Control mathscidoc:2004.27013

IEEE Journal of Selected Topics in Signal Processing, 12, (6), 1390-1404, 2018.12
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[24] RSA: Byzantine-robust stochastic aggregation methods for distributed learning from heterogeneous datasets

Liping Li Wei Xu Tianyi Chen Georgios Giannakis Qing Ling

Optimization and Control mathscidoc:2004.27012

AAAI, 2019
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[25] Primal-dual optimization algorithms over Riemannian manifolds: an iteration complexity analysis

Junyu Zhang University of Minnesota Shiqian Ma University of California, Davis Shuzhong Zhang University of Minnesota

Optimization and Control mathscidoc:2004.27011

Mathematical Programming, 2019.8
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