## So, Anthony Man-Cho

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 Author ID: so.anthony-man-cho Published as: So, Anthony Man-Cho; Man-Cho So, Anthony
 Documents Indexed: 37 Publications since 2005 Co-Authors: 37 Co-Authors with 33 Joint Publications 920 Co-Co-Authors
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### Co-Authors

 4 single-authored 11 Ye, Yinyu 5 Ma, Wing-Kin 5 Yue, Man-Chung 5 Zhang, Jiawei 4 Zhou, Zirui 2 Chang, Tsung-Hui 2 Chen, Shixiang 2 Li, Xiao 2 Liu, Huikang 2 Pan, Jiaxian 2 Wu, Sissi Xiaoxiao 2 Zhu, Zhihui 2 Zhu, Zhisu 1 Cheung, Henry K. F. 1 Cheung, Kam-Fung 1 Cheung, Sin-Shuen 1 Chi, Chong-Yung 1 Chow, Sherman S. M. 1 Deng, Zengde 1 Fu, Xiao 1 Hong, Mingyi 1 Hou, Ke 1 Huang, Kejun 1 Lai, Russell W. F. 1 Li, William Wei-Liang 1 Li, Youming 1 Ma, Shiqian 1 Ni, Sherry Xue-Ying 1 Qu, Qing 1 Shao, Mingjie 1 Sidiropoulos, Nicholas D. 1 Valqui Vidal, René Victor 1 Wang, Kuncheng 1 Wang, Kunyu 1 Win, Moe Z. 1 Wu, Weijie 1 Zhang, Yingjun
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### Serials

 8 IEEE Transactions on Signal Processing 7 Mathematical Programming. Series A. Series B 7 SIAM Journal on Optimization 3 Mathematics of Operations Research 1 Applied and Computational Harmonic Analysis 1 Optimization Methods & Software 1 Journal of the Operations Research Society of China
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### Fields

 28 Operations research, mathematical programming (90-XX) 11 Information and communication theory, circuits (94-XX) 9 Numerical analysis (65-XX) 9 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Combinatorics (05-XX) 3 Probability theory and stochastic processes (60-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 1 Geometry (51-XX)

### Citations contained in zbMATH Open

31 Publications have been cited 278 times in 229 Documents Cited by Year
Theory of semidefinite programming for sensor network localization. Zbl 1278.90482
So, Anthony Man-Cho; Ye, Yinyu
2007
A unified approach to error bounds for structured convex optimization problems. Zbl 1380.65109
Zhou, Zirui; So, Anthony Man-Cho
2017
Deterministic approximation algorithms for sphere constrained homogeneous polynomial optimization problems. Zbl 1230.90156
So, Anthony Man-Cho
2011
On approximating complex quadratic optimization problems via semidefinite programming relaxations. Zbl 1192.90134
So, Anthony Man-Cho; Zhang, Jiawei; Ye, Yinyu
2007
Moment inequalities for sums of random matrices and their applications in optimization. Zbl 1231.60007
So, Anthony Man-Cho
2011
Universal rigidity and edge sparsification for sensor network localization. Zbl 1211.90166
Zhu, Zhisu; So, Anthony Man-Cho; Ye, Yinyu
2010
A perturbation inequality for concave functions of singular values and its applications in low-rank matrix recovery. Zbl 1335.15031
Yue, Man-Chung; So, Anthony Man-Cho
2016
A unified theorem on SDP rank reduction. Zbl 1218.90153
So, Anthony Man-Cho; Ye, Yinyu; Zhang, Jiawei
2008
Probabilistic analysis of the semidefinite relaxation detector in digital communications. Zbl 1288.94005
So, Anthony Man-Cho
2010
Non-asymptotic convergence analysis of inexact gradient methods for machine learning without strong convexity. Zbl 1382.90079
So, Anthony Man-Cho; Zhou, Zirui
2017
On the estimation performance and convergence rate of the generalized power method for phase synchronization. Zbl 1387.90199
Liu, Huikang; Yue, Man-Chung; Man-Cho So, Anthony
2017
Proximal gradient method for nonsmooth optimization over the Stiefel manifold. Zbl 1434.90195
Chen, Shixiang; Ma, Shiqian; Man-Cho So, Anthony; Zhang, Tong
2020
A family of inexact SQA methods for non-smooth convex minimization with provable convergence guarantees based on the Luo-Tseng error bound property. Zbl 1412.49061
Yue, Man-Chung; Zhou, Zirui; So, Anthony Man-Cho
2019
Quadratic optimization with orthogonality constraint: explicit Łojasiewicz exponent and linear convergence of retraction-based line-search and stochastic variance-reduced gradient methods. Zbl 1433.65111
Liu, Huikang; So, Anthony Man-Cho; Wu, Weijie
2019
Linear matrix inequalities with stochastically dependent perturbations and applications to chance-constrained semidefinite optimization. Zbl 1272.65048
Cheung, Sin-Shuen; So, Anthony Man-Cho; Wang, Kuncheng
2012
Theory of semidefinite programming for sensor network localization. Zbl 1297.90110
So, Anthony Man-Cho; Ye, Yinyu
2005
Nonconvex robust low-rank matrix recovery. Zbl 07175265
Li, Xiao; Zhu, Zhihui; Man-Cho So, Anthony; Vidal, René
2020
Hardness and approximation results for $$L_{p}$$-ball constrained homogeneous polynomial optimization problems. Zbl 1310.90091
Hou, Ke; So, Anthony Man-Cho
2014
A semidefinite programming approach to tensegrity theory and realizability of graphs. Zbl 1192.90137
So, Anthony Man-Cho; Ye, Yinyu
2006
Stochastic combinatorial optimization with controllable risk aversion level. Zbl 1218.90146
So, Anthony Man-Cho; Zhang, Jiawei; Ye, Yinyu
2009
Fast and near-optimal matrix completion via randomized basis pursuit. Zbl 1269.15031
Zhu, Zhisu; So, Anthony Man-Cho; Ye, Yinyu
2012
On the quadratic convergence of the cubic regularization method under a local error bound condition. Zbl 1411.90284
Yue, Man-Chung; Zhou, Zirui; Man-Cho So, Anthony
2019
Slow adaptive OFDMA systems through chance constrained programming. Zbl 1392.94304
Li, William Wei-Liang; Zhang, Ying Jun; So, Anthony Man-Cho; Win, Moe Z.
2010
Outage constrained robust transmit optimization for multiuser MISO downlinks: tractable approximations by conic optimization. Zbl 1393.90044
Wang, Kun-Yu; So, Anthony Man-Cho; Chang, Tsung-Hui; Ma, Wing-Kin; Chi, Chong-Yung
2014
Scalable and flexible multiview MAX-VAR canonical correlation analysis. Zbl 1414.94204
Fu, Xiao; Huang, Kejun; Hong, Mingyi; Sidiropoulos, Nicholas D.; So, Anthony Man-Cho
2017
On approximating complex quadratic optimization problems via semidefinite programming relaxations. Zbl 1119.90032
So, Anthony Man-Cho; Zhang, Jiawei; Ye, Yinyu
2005
Physical-layer multicasting by stochastic transmit beamforming and Alamouti space-time coding. Zbl 1393.94090
Wu, Sissi Xiaoxiao; Ma, Wing-Kin; So, Anthony Man-Cho
2013
Improved approximation bound for quadratic optimization problems with orthogonality constraints. Zbl 1423.90169
So, Anthony Man-Cho
2009
Phase retrieval via sensor network localization. Zbl 1424.90281
Ni, Sherry Xue-Ying; Yue, Man-Chung; Cheung, Kam-Fung; So, Anthony Man-Cho
2019
Robust convex approximation methods for TDOA-based localization under NLOS conditions. Zbl 1414.94654
Wang, Gang; So, Anthony Man-Cho; Li, Youming
2016
Weakly convex optimization over Stiefel manifold using Riemannian subgradient-type methods. Zbl 07372957
Li, Xiao; Chen, Shixiang; Deng, Zengde; Qu, Qing; Zhu, Zhihui; Man-Cho So, Anthony
2021
Weakly convex optimization over Stiefel manifold using Riemannian subgradient-type methods. Zbl 07372957
Li, Xiao; Chen, Shixiang; Deng, Zengde; Qu, Qing; Zhu, Zhihui; Man-Cho So, Anthony
2021
Proximal gradient method for nonsmooth optimization over the Stiefel manifold. Zbl 1434.90195
Chen, Shixiang; Ma, Shiqian; Man-Cho So, Anthony; Zhang, Tong
2020
Nonconvex robust low-rank matrix recovery. Zbl 07175265
Li, Xiao; Zhu, Zhihui; Man-Cho So, Anthony; Vidal, René
2020
A family of inexact SQA methods for non-smooth convex minimization with provable convergence guarantees based on the Luo-Tseng error bound property. Zbl 1412.49061
Yue, Man-Chung; Zhou, Zirui; So, Anthony Man-Cho
2019
Quadratic optimization with orthogonality constraint: explicit Łojasiewicz exponent and linear convergence of retraction-based line-search and stochastic variance-reduced gradient methods. Zbl 1433.65111
Liu, Huikang; So, Anthony Man-Cho; Wu, Weijie
2019
On the quadratic convergence of the cubic regularization method under a local error bound condition. Zbl 1411.90284
Yue, Man-Chung; Zhou, Zirui; Man-Cho So, Anthony
2019
Phase retrieval via sensor network localization. Zbl 1424.90281
Ni, Sherry Xue-Ying; Yue, Man-Chung; Cheung, Kam-Fung; So, Anthony Man-Cho
2019
A unified approach to error bounds for structured convex optimization problems. Zbl 1380.65109
Zhou, Zirui; So, Anthony Man-Cho
2017
Non-asymptotic convergence analysis of inexact gradient methods for machine learning without strong convexity. Zbl 1382.90079
So, Anthony Man-Cho; Zhou, Zirui
2017
On the estimation performance and convergence rate of the generalized power method for phase synchronization. Zbl 1387.90199
Liu, Huikang; Yue, Man-Chung; Man-Cho So, Anthony
2017
Scalable and flexible multiview MAX-VAR canonical correlation analysis. Zbl 1414.94204
Fu, Xiao; Huang, Kejun; Hong, Mingyi; Sidiropoulos, Nicholas D.; So, Anthony Man-Cho
2017
A perturbation inequality for concave functions of singular values and its applications in low-rank matrix recovery. Zbl 1335.15031
Yue, Man-Chung; So, Anthony Man-Cho
2016
Robust convex approximation methods for TDOA-based localization under NLOS conditions. Zbl 1414.94654
Wang, Gang; So, Anthony Man-Cho; Li, Youming
2016
Hardness and approximation results for $$L_{p}$$-ball constrained homogeneous polynomial optimization problems. Zbl 1310.90091
Hou, Ke; So, Anthony Man-Cho
2014
Outage constrained robust transmit optimization for multiuser MISO downlinks: tractable approximations by conic optimization. Zbl 1393.90044
Wang, Kun-Yu; So, Anthony Man-Cho; Chang, Tsung-Hui; Ma, Wing-Kin; Chi, Chong-Yung
2014
Physical-layer multicasting by stochastic transmit beamforming and Alamouti space-time coding. Zbl 1393.94090
Wu, Sissi Xiaoxiao; Ma, Wing-Kin; So, Anthony Man-Cho
2013
Linear matrix inequalities with stochastically dependent perturbations and applications to chance-constrained semidefinite optimization. Zbl 1272.65048
Cheung, Sin-Shuen; So, Anthony Man-Cho; Wang, Kuncheng
2012
Fast and near-optimal matrix completion via randomized basis pursuit. Zbl 1269.15031
Zhu, Zhisu; So, Anthony Man-Cho; Ye, Yinyu
2012
Deterministic approximation algorithms for sphere constrained homogeneous polynomial optimization problems. Zbl 1230.90156
So, Anthony Man-Cho
2011
Moment inequalities for sums of random matrices and their applications in optimization. Zbl 1231.60007
So, Anthony Man-Cho
2011
Universal rigidity and edge sparsification for sensor network localization. Zbl 1211.90166
Zhu, Zhisu; So, Anthony Man-Cho; Ye, Yinyu
2010
Probabilistic analysis of the semidefinite relaxation detector in digital communications. Zbl 1288.94005
So, Anthony Man-Cho
2010
Slow adaptive OFDMA systems through chance constrained programming. Zbl 1392.94304
Li, William Wei-Liang; Zhang, Ying Jun; So, Anthony Man-Cho; Win, Moe Z.
2010
Stochastic combinatorial optimization with controllable risk aversion level. Zbl 1218.90146
So, Anthony Man-Cho; Zhang, Jiawei; Ye, Yinyu
2009
Improved approximation bound for quadratic optimization problems with orthogonality constraints. Zbl 1423.90169
So, Anthony Man-Cho
2009
A unified theorem on SDP rank reduction. Zbl 1218.90153
So, Anthony Man-Cho; Ye, Yinyu; Zhang, Jiawei
2008
Theory of semidefinite programming for sensor network localization. Zbl 1278.90482
So, Anthony Man-Cho; Ye, Yinyu
2007
On approximating complex quadratic optimization problems via semidefinite programming relaxations. Zbl 1192.90134
So, Anthony Man-Cho; Zhang, Jiawei; Ye, Yinyu
2007
A semidefinite programming approach to tensegrity theory and realizability of graphs. Zbl 1192.90137
So, Anthony Man-Cho; Ye, Yinyu
2006
Theory of semidefinite programming for sensor network localization. Zbl 1297.90110
So, Anthony Man-Cho; Ye, Yinyu
2005
On approximating complex quadratic optimization problems via semidefinite programming relaxations. Zbl 1119.90032
So, Anthony Man-Cho; Zhang, Jiawei; Ye, Yinyu
2005
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### Cited by 428 Authors

 12 Li, Zhening 11 So, Anthony Man-Cho 9 Liberti, Leo 9 Zhang, Shuzhong 8 Lavor, Carlile Campos 7 Jiang, Bo 6 Mucherino, Antonio 6 Sun, Defeng 5 Qi, Liqun 5 Toh, Kim Chuan 5 Yang, Yuning 5 Yue, Man-Chung 4 Alfakih, Abdo Y. 4 Ferreira, Orizon Pereira 4 Gortler, Steven J. 4 He, Simai 4 Li, Song 4 Liu, Yafeng 4 Németh, Sándor Zoltán 4 Pong, Ting Kei 4 Singer, Amit 4 Yang, Qingzhi 4 Zhu, Zhihui 3 Bandeira, Afonso S. 3 Bartzos, Evangelos 3 Bi, Shujun 3 Connelly, Robert 3 Ding, Chao 3 Emiris, Ioannis Z. 3 Li, Guoyin 3 Li, Xiao 3 Liu, Xin 3 Lu, Cheng 3 Xu, Huifu 3 Ye, Yinyu 3 Zhang, Jin 3 Zhou, Guanglu 2 Boumal, Nicolas 2 Chen, Shixiang 2 Cheng, Lizhi 2 Cui, Ying 2 d’Aspremont, Alexandre 2 Ding, Lijun 2 Drusvyatskiy, Dmitriy 2 Fu, Taoran 2 Ha, Seung-Yeal 2 He, Hongjin 2 Hu, Jiang 2 Hu, ShengLong 2 Hu, Yaohua 2 Huang, Zheng-Hai 2 Javanmard, Adel 2 Jiang, Rujun 2 Kang, Myeongju 2 Kim, Dohyun 2 Kong, Lingchen 2 Krislock, Nathan 2 Lee, Jon 2 Li, Mei 2 Li, Xudong 2 Lin, Qihang 2 Ling, Chen 2 Liu, Huikang 2 Liu, Yongchao 2 Luo, Xinlong 2 Ma, Shiqian 2 Maculan, Nelson F. 2 Pan, Shaohua 2 Qu, Qing 2 Sun, Hailin 2 Tropp, Joel A. 2 Tseng, Paul 2 Tsigaridas, Elias P. 2 Wang, Yiju 2 Wen, Zaiwen 2 Wolkowicz, Henry 2 Wu, Zhijun 2 Xiao, Lianghai 2 Yang, Tianbao 2 Ye, Jane J. 2 Yu, Carisa Kwok Wai 2 Yuan, Xiaoming 2 Yuan, Ya-xiang 2 Zeng, Shangzhi 2 Zhang, Hui 2 Zhang, Liwei 2 Zhang, Weiqiang 2 Zhang, Xinzhen 2 Zhao, Yunbin 2 Zhou, Zirui 1 Abraham, Ittai 1 Absil, Pierre-Antoine 1 Adams, Henry 1 Ahookhosh, Masoud 1 Aloui, Omar 1 Alqahtani, Mohammed 1 Anstreicher, Kurt M. 1 Arias-Castro, Ery 1 Atarashi, Kyohei 1 Aybat, Necdet Serhat ...and 328 more Authors
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### Cited in 77 Serials

 28 SIAM Journal on Optimization 25 Mathematical Programming. Series A. Series B 18 Computational Optimization and Applications 14 Journal of Global Optimization 12 Journal of Optimization Theory and Applications 10 Optimization Letters 6 Applied and Computational Harmonic Analysis 5 Mathematics of Operations Research 5 Linear Algebra and its Applications 5 Foundations of Computational Mathematics 5 Journal of Machine Learning Research (JMLR) 5 Journal of the Operations Research Society of China 4 Discrete & Computational Geometry 4 SIAM Journal on Matrix Analysis and Applications 3 SIAM Journal on Imaging Sciences 2 Inverse Problems 2 Journal of the Franklin Institute 2 Applied Mathematics and Computation 2 Automatica 2 Calcolo 2 SIAM Journal on Computing 2 SIAM Journal on Discrete Mathematics 2 SIAM Journal on Scientific Computing 2 International Transactions in Operational Research 2 Mathematical Problems in Engineering 2 Set-Valued and Variational Analysis 2 Science China. Mathematics 2 SIAM Journal on Mathematics of Data Science 1 Acta Mechanica 1 Discrete Applied Mathematics 1 International Journal of Systems Science 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 The Annals of Probability 1 Memoirs of the American Mathematical Society 1 Operations Research 1 Results in Mathematics 1 Operations Research Letters 1 Combinatorica 1 Optimization 1 Journal of Symbolic Computation 1 Journal of Parallel and Distributed Computing 1 Annals of Operations Research 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 YUJOR. Yugoslav Journal of Operations Research 1 European Journal of Operational Research 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Mathematical Imaging and Vision 1 Cybernetics and Systems Analysis 1 Experimental Mathematics 1 Computational and Applied Mathematics 1 Top 1 Journal of Convex Analysis 1 The Journal of Fourier Analysis and Applications 1 European Journal of Control 1 Optimization Methods & Software 1 Optimization and Engineering 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Analysis and Applications (Singapore) 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Computational Management Science 1 Journal of Industrial and Management Optimization 1 Frontiers of Mathematics in China 1 Inverse Problems and Imaging 1 Electronic Journal of Statistics 1 Discrete and Continuous Dynamical Systems. Series S 1 Algorithms 1 Journal of Computational and Graphical Statistics 1 Numerical Algebra, Control and Optimization 1 Axioms 1 Open Mathematics 1 Mathematical Statistics and Learning 1 Foundations of Data Science
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### Cited in 34 Fields

 177 Operations research, mathematical programming (90-XX) 55 Numerical analysis (65-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 34 Computer science (68-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 17 Convex and discrete geometry (52-XX) 16 Combinatorics (05-XX) 14 Information and communication theory, circuits (94-XX) 11 Probability theory and stochastic processes (60-XX) 11 Statistics (62-XX) 5 Geometry (51-XX) 5 Systems theory; control (93-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 3 Operator theory (47-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)