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## So, Anthony Man-Cho

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 Author ID: so.anthony-man-cho Published as: Man-Cho So, Anthony; So, Anthony Man-Cho
 Documents Indexed: 36 Publications since 2005
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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 Liu, Huikang 2 Pan, Jiaxian 2 Wu, Sissi Xiaoxiao 2 Zhu, Zhisu 1 Chen, Shixiang 1 Cheung, Henry K. F. 1 Cheung, Kam-Fung 1 Cheung, Sin-Shuen 1 Chi, Chong-Yung 1 Chow, Sherman S. M. 1 Fu, Xiao 1 Hong, Mingyi 1 Hou, Ke 1 Huang, Kejun 1 Lai, Russell W. F. 1 Li, Qiang 1 Li, William Wei-Liang 1 Li, Xiao 1 Li, Youming 1 Ma, Shiqian 1 Ni, Sherry Xue-Ying 1 Shao, Mingjie 1 Sidiropoulos, Nicholas D. 1 Valqui Vidal, René Victor 1 Wang, Gang 1 Wang, Kuncheng 1 Wang, Kunyu 1 Win, Moe Z. 1 Wu, Weijie 1 Zhang, Tong 1 Zhang, Yingjun 1 Zhu, Zhihui
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#### Serials

 8 IEEE Transactions on Signal Processing 7 Mathematical Programming. Series A. Series B 6 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

 27 Operations research, mathematical programming (90-XX) 11 Information and communication theory, circuits (94-XX) 9 Computer science (68-XX) 8 Numerical analysis (65-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

28 Publications have been cited 218 times in 176 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 unified theorem on SDP rank reduction. Zbl 1218.90153
So, Anthony Man-Cho; Ye, Yinyu; Zhang, Jiawei
2008
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
Probabilistic analysis of the semidefinite relaxation detector in digital communications. Zbl 1288.94005
So, Anthony Man-Cho
2010
Theory of semidefinite programming for sensor network localization. Zbl 1297.90110
So, Anthony Man-Cho; Ye, Yinyu
2005
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
Non-asymptotic convergence analysis of inexact gradient methods for machine learning without strong convexity. Zbl 1382.90079
So, Anthony Man-Cho; Zhou, Zirui
2017
Hardness and approximation results for $$L_{p}$$-ball constrained homogeneous polynomial optimization problems. Zbl 1310.90091
Hou, Ke; So, Anthony Man-Cho
2014
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
A semidefinite programming approach to tensegrity theory and realizability of graphs. Zbl 1192.90137
So, Anthony Man-Cho; Ye, Yinyu
2006
Fast and near-optimal matrix completion via randomized basis pursuit. Zbl 1269.15031
Zhu, Zhisu; So, Anthony Man-Cho; Ye, Yinyu
2012
Stochastic combinatorial optimization with controllable risk aversion level. Zbl 1218.90146
So, Anthony Man-Cho; Zhang, Jiawei; Ye, Yinyu
2009
Nonconvex robust low-rank matrix recovery. Zbl 07175265
Li, Xiao; Zhu, Zhihui; Man-Cho So, Anthony; Vidal, René
2020
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
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
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
Proximal gradient method for nonsmooth optimization over the Stiefel manifold. Zbl 1434.90195
Chen, Shixiang; Ma, Shiqian; Man-Cho So, Anthony; Zhang, Tong
2020
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
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
Robust convex approximation methods for TDOA-based localization under NLOS conditions. Zbl 1414.94654
Wang, Gang; So, Anthony Man-Cho; Li, Youming
2016
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
Improved approximation bound for quadratic optimization problems with orthogonality constraints. Zbl 1423.90169
So, Anthony Man-Cho
2009
Nonconvex robust low-rank matrix recovery. Zbl 07175265
Li, Xiao; Zhu, Zhihui; Man-Cho So, Anthony; Vidal, René
2020
Proximal gradient method for nonsmooth optimization over the Stiefel manifold. Zbl 1434.90195
Chen, Shixiang; Ma, Shiqian; Man-Cho So, Anthony; Zhang, Tong
2020
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
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
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
A unified approach to error bounds for structured convex optimization problems. Zbl 1380.65109
Zhou, Zirui; So, Anthony Man-Cho
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
Non-asymptotic convergence analysis of inexact gradient methods for machine learning without strong convexity. Zbl 1382.90079
So, Anthony Man-Cho; Zhou, Zirui
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
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#### Cited by 324 Authors

 11 Li, Zhening 10 So, Anthony Man-Cho 9 Liberti, Leo 9 Zhang, Shuzhong 8 Lavor, Carlile Campos 6 Jiang, Bo 6 Mucherino, Antonio 6 Sun, Defeng 5 Qi, Liqun 5 Toh, Kimchuan 4 Alfakih, Abdo Y. 4 Gortler, Steven J. 4 He, Simai 4 Pong, Ting Kei 4 Singer, Amit 4 Yang, Yuning 4 Yue, Man-Chung 3 Bandeira, Afonso S. 3 Connelly, Robert 3 Ding, Chao 3 Ferreira, Orizon Pereira 3 Liu, Xin 3 Liu, Yafeng 3 Lu, Cheng 3 Németh, Sándor Zoltán 3 Xu, Huifu 3 Yang, Qingzhi 3 Ye, Yinyu 3 Zhu, Zhihui 2 Bi, Shujun 2 Boumal, Nicolas 2 Cheng, Lizhi 2 Cui, Ying 2 d’Aspremont, Alexandre 2 Hu, Jiang 2 Hu, ShengLong 2 Huang, Zheng-Hai 2 Javanmard, Adel 2 Krislock, Nathan 2 Lee, Jon 2 Li, Guoyin 2 Li, Song 2 Li, Xiao 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 Sun, Hailin 2 Tropp, Joel A. 2 Tseng, Paul 2 Tsigaridas, Elias P. 2 Wen, Zaiwen 2 Wolkowicz, Henry 2 Wu, Zhijun 2 Xu, Zi 2 Yang, Tianbao 2 Zhang, Hui 2 Zhang, Liwei 2 Zhang, Weiqiang 2 Zhang, Xinzhen 2 Zhao, Yunbin 2 Zhou, Guanglu 2 Zhou, Zirui 1 Abraham, Ittai 1 Absil, Pierre-Antoine 1 Alqahtani, Mohammed 1 Anstreicher, Kurt M. 1 Arias-Castro, Ery 1 Aybat, Necdet Serhat 1 Bach, Francis R. 1 Bahi, Jacques Mohcine 1 Barman, Siddharth 1 Barrera, Javiera 1 Bartzos, Evangelos 1 Barvinok, Alexander I. 1 Basri, Ronen 1 Bernstein, Daniel Irving 1 Birgin, Ernesto G. 1 Blei, Ron C. 1 Boginski, Vladimir L. 1 Boyko, Nikita 1 Bravyi, Sergey B. 1 Bueno, Luís Felipe 1 Burer, Samuel 1 Byrka, Jarosław 1 Caccetta, Louis 1 Cai, Yun 1 Cambier, Léopold 1 Candès, Emmanuel J. 1 Canessa, Gianpiero 1 Cardoso, José Vinícius de M. 1 Carrizosa, Emilio 1 Chaudhury, Kunal Narayan 1 Chechik, Shiri 1 Chen, Bilian 1 Chen, Richard Yuhua ...and 224 more Authors
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#### Cited in 60 Serials

 24 Mathematical Programming. Series A. Series B 21 SIAM Journal on Optimization 14 Computational Optimization and Applications 13 Journal of Global Optimization 7 Optimization Letters 6 Journal of Optimization Theory and Applications 5 Mathematics of Operations Research 5 Linear Algebra and its Applications 5 Journal of the Operations Research Society of China 4 Discrete & Computational Geometry 4 SIAM Journal on Matrix Analysis and Applications 4 Foundations of Computational Mathematics 4 Journal of Machine Learning Research (JMLR) 2 Applied Mathematics and Computation 2 SIAM Journal on Computing 2 Operations Research Letters 2 SIAM Journal on Discrete Mathematics 2 Applied and Computational Harmonic Analysis 2 International Transactions in Operational Research 2 Mathematical Problems in Engineering 2 SIAM Journal on Imaging Sciences 2 Science China. Mathematics 1 Discrete Applied Mathematics 1 International Journal of Systems Science 1 Inverse Problems 1 Journal of the Franklin Institute 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 Automatica 1 Calcolo 1 Memoirs of the American Mathematical Society 1 Operations Research 1 Combinatorica 1 Journal of Symbolic Computation 1 Journal of Parallel and Distributed Computing 1 Annals of Operations Research 1 Journal of Mathematical Imaging and Vision 1 Cybernetics and Systems Analysis 1 Experimental Mathematics 1 SIAM Journal on Scientific Computing 1 Top 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 Discrete and Continuous Dynamical Systems. Series S 1 Algorithms 1 Axioms 1 Open Mathematics 1 Mathematical Statistics and Learning
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#### Cited in 33 Fields

 139 Operations research, mathematical programming (90-XX) 39 Numerical analysis (65-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 28 Computer science (68-XX) 16 Convex and discrete geometry (52-XX) 15 Combinatorics (05-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Information and communication theory, circuits (94-XX) 9 Probability theory and stochastic processes (60-XX) 8 Statistics (62-XX) 5 Geometry (51-XX) 4 Systems theory; control (93-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-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 Partial differential equations (35-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 deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)