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Author ID: yuan.xiaoming Recent zbMATH articles by "Yuan, Xiaoming"
Published as: Yuan, Xiaoming; Yuan, Xiao-Ming; Yuan, X. M.; Yuan, Xiao-ming; Yuan, XiaoMing
Homepage: http://www.math.hkbu.edu.hk/~xmyuan/
External Links: ORCID · dblp · GND
all top 5

Co-Authors

6 single-authored
47 He, Bingsheng
15 Li, Min
15 Tao, Min
12 Han, Deren
12 Zhang, Jin
11 Zeng, Shangzhi
10 Song, YongCun
10 Yue, Hangrui
8 Zhang, Wenxing
7 Ng, Michael Kwok-Po
6 Liao, Li-Zhi
6 Ma, Feng
5 Tian, Wenyi
5 Ye, Jane J.
4 Chan, Raymond Hon-Fu
4 Chen, Caihua
4 Li, Xinxin
4 Liu, Han
4 Liu, Risheng
4 Xu, Shengjie
4 Yang, Hai
4 Yang, Junfeng
3 Cai, Xingju
3 Caraballo, Edgar J.
3 Debiasi, Marco
3 Glowinski, Roland
3 Jiang, Jianlin
3 Liu, Yongchao
3 Serrani, Andrea
3 Wang, Xiangfeng
3 Wu, Hao-Ning
3 Xu, Minghua
2 An, Congpei
2 Bauschke, Heinz H.
2 Fraser, Donald A. S.
2 Gu, GuoYong
2 McDunnough, Philip
2 Mu, Pan
2 Myatt, James H.
2 Qi, Houduo
2 Reid, Nancy
2 Shen, Wei
2 Wang, Fan
2 Wang, Shawn Xianfu
2 Xu, Ya
2 Yang, Zhenhuan
2 Ying, Yiming
2 Zhang, Jianzhong
1 Ai, Tian-Chun
1 Bai, Zhengjian
1 Baraniuk, Richard G.
1 Biccari, Umberto
1 Bnouhachem, Abdellah
1 Chen, Chuan
1 Chen, Meixiang
1 Corman, Etienne
1 Dai, Yu-Hong
1 Esser, Ernie
1 Fang, Ethan X.
1 Fu, Xiaoling
1 Goldstein, Tom
1 Guo, Ke
1 He, Hongjin
1 Hou, Liusheng
1 Huang, Lei
1 Huang, Long
1 Lai, Mingchih
1 Li, Xingguo
1 Li, Xutao
1 Li, Zenan
1 Liu, Xuan
1 Liu, Zehua
1 Liu, Zhongxian
1 Lu, Juwei
1 Ma, Long
1 Mo, Lili
1 Mordukhovich, Boris S.
1 Ngan, Henry Y. T.
1
1 Özbay, Hitay
1 Tang, Qiulin
1 Wang, Zhaoran
1 Weiss, Pierre
1 Wen, Zaiwen
1 Wu, Meiyun
1 Xiao, Yunhai
1 Xiu, Naihua
1 Xu, Hong-Kun
1 Xu, Wei
1 Yang, Changpeng
1 Yang, Qingzhi
1 Yang, Weihong
1 Yang, Zhenhua
1 Ye, Caihong
1 Ye, Yinyu
1 Yin, Wotao
1 You, Jintao
1 You, Yanfei
1 Zeng, Tianyou
1 Zhang, Ming-Kai
...and 5 more Co-Authors
all top 5

Serials

14 Computational Optimization and Applications
10 Journal of Optimization Theory and Applications
8 SIAM Journal on Imaging Sciences
7 SIAM Journal on Optimization
6 Inverse Problems
6 Mathematics of Computation
6 Mathematical Programming. Series A. Series B
5 SIAM Journal on Numerical Analysis
4 Journal of Scientific Computing
4 European Journal of Operational Research
4 SIAM Journal on Scientific Computing
4 Pacific Journal of Optimization
3 IMA Journal of Numerical Analysis
3 Numerische Mathematik
3 Journal of the Operations Research Society of China
2 Journal of Mathematical Analysis and Applications
2 Journal of Approximation Theory
2 Mathematics of Operations Research
2 Optimization
2 Journal of Global Optimization
2 Journal of Mathematical Imaging and Vision
2 Numerical Linear Algebra with Applications
2 Optimization Methods & Software
2 Journal of Machine Learning Research (JMLR)
2 Journal of Industrial and Management Optimization
2 Set-Valued and Variational Analysis
2 Science China. Mathematics
2 SMAI Journal of Computational Mathematics
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Journal of Computational and Applied Mathematics
1 Journal of Statistical Planning and Inference
1 Operations Research Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Journal of Computational Mathematics
1 Applied Numerical Mathematics
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Annals of Operations Research
1 Multidimensional Systems and Signal Processing
1 IEEE Transactions on Signal Processing
1 Linear Algebra and its Applications
1 SIAM Review
1 Computational Statistics and Data Analysis
1 International Journal of Mathematical and Statistical Sciences
1 Applied and Computational Harmonic Analysis
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 Journal of Yangzhou University. Natural Science Edition
1 IEEE Transactions on Image Processing
1 Communications on Pure and Applied Analysis
1 Analysis and Applications (Singapore)
1 Networks and Spatial Economics
1 Frontiers of Mathematics in China
1 Inverse Problems and Imaging
1 Numerical Mathematics: Theory, Methods and Applications
1 Applied and Computational Mathematics
1 Mathematical Programming Computation
1 International Journal of Mathematical Modelling and Numerical Optimisation
1 Numerical Algebra, Control and Optimization
1 East Asian Journal on Applied Mathematics
1 Annals of Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

131 Publications have been cited 3,340 times in 1,404 Documents Cited by Year
On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
298
2012
The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent. Zbl 1332.90193
Chen, Caihua; He, Bingsheng; Ye, Yinyu; Yuan, Xiaoming
197
2016
Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152
He, Bingsheng; Tao, Min; Yuan, Xiaoming
155
2012
Convergence analysis of primal-dual algorithms for a saddle-point problem: from contraction perspective. Zbl 1250.90066
He, Bingsheng; Yuan, Xiaoming
144
2012
Recovering low-rank and sparse components of matrices from incomplete and noisy observations. Zbl 1218.90115
Tao, Min; Yuan, Xiaoming
144
2011
Linearized augmented Lagrangian and alternating direction methods for nuclear norm minimization. Zbl 1263.90062
Yang, Junfeng; Yuan, Xiaoming
103
2013
On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers. Zbl 1320.90060
He, Bingsheng; Yuan, Xiaoming
91
2015
A note on the alternating direction method of multipliers. Zbl 1255.90093
Han, Deren; Yuan, Xiaoming
85
2012
An approximate proximal-extragradient type method for monotone variational inequalities. Zbl 1068.65087
He, Bing-sheng; Yang, Zhen-hua; Yuan, Xiao-ming
81
2004
Solving constrained total-variation image restoration and reconstruction problems via alternating direction methods. Zbl 1217.65071
Ng, Michael K.; Weiss, Pierre; Yuan, Xiaoming
80
2010
Constrained total variation deblurring models and fast algorithms based on alternating direction method of multipliers. Zbl 1279.68322
Chan, Raymond H.; Tao, Min; Yuan, Xiaoming
71
2013
A strictly contractive Peaceman-Rachford splitting method for convex programming. Zbl 1327.90210
He, Bingsheng; Liu, Han; Wang, Zhaoran; Yuan, Xiaoming
69
2014
On full Jacobian decomposition of the augmented Lagrangian method for separable convex programming. Zbl 1327.90209
He, Bingsheng; Hou, Liusheng; Yuan, Xiaoming
61
2015
Local linear convergence of the alternating direction method of multipliers for quadratic programs. Zbl 1285.90033
Han, Deren; Yuan, Xiaoming
59
2013
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
57
2012
A generalized proximal point algorithm and its convergence rate. Zbl 1311.90099
Corman, Etienne; Yuan, Xiaoming
52
2014
A splitting method for separable convex programming. Zbl 1310.65062
He, Bingsheng; Tao, Min; Yuan, Xiaoming
51
2015
Convergence study on the symmetric version of ADMM with larger step sizes. Zbl 1381.90066
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
50
2016
The linearized alternating direction method of multipliers for Dantzig selector. Zbl 1263.90061
Wang, Xiangfeng; Yuan, Xiaoming
49
2012
An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing. Zbl 1311.90100
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
48
2014
On the convergence of primal-dual hybrid gradient algorithm. Zbl 1308.90129
He, Bingsheng; You, Yanfei; Yuan, Xiaoming
44
2014
On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function. Zbl 1372.90079
Cai, Xingju; Han, Deren; Yuan, Xiaoming
43
2017
Alternating direction method for image inpainting in wavelet domains. Zbl 1234.68448
Chan, Raymond H.; Yang, Junfeng; Yuan, Xiaoming
40
2011
Generalized alternating direction method of multipliers: new theoretical insights and applications. Zbl 1353.90110
Fang, Ethan X.; He, Bingsheng; Liu, Han; Yuan, Xiaoming
40
2015
Inexact alternating direction methods for image recovery. Zbl 1234.94013
Ng, Michael K.; Wang, Fan; Yuan, Xiaoming
37
2011
Solving large-scale least squares semidefinite programming by alternating direction methods. Zbl 1243.49039
He, Bingsheng; Xu, Minghua; Yuan, Xiaoming
37
2011
Comparison of two kinds of prediction-correction methods for monotone variational inequalities. Zbl 1061.90111
He, Bingsheng; Yuan, Xiaoming; Zhang, Jason J. Z.
37
2004
Alternating direction method for covariance selection models. Zbl 1255.65031
Yuan, Xiaoming
36
2012
Sparse and low-rank matrix decomposition via alternating direction method. Zbl 1269.90061
Yuan, Xiaoming; Yang, Junfeng
36
2013
On the convergence rate of Douglas-Rachford operator splitting method. Zbl 1327.90211
He, Bingsheng; Yuan, Xiaoming
34
2015
On the proximal Jacobian decomposition of ALM for multiple-block separable convex minimization problems and its relationship to ADMM. Zbl 1371.65052
He, Bingsheng; Xu, Hong-Kun; Yuan, Xiaoming
34
2016
Customized proximal point algorithms for linearly constrained convex minimization and saddle-point problems: a unified approach. Zbl 1303.90080
Gu, Guoyong; He, Bingsheng; Yuan, Xiaoming
33
2014
On the \(O(1/t)\) convergence rate of alternating direction method with logarithmic-quadratic proximal regularization. Zbl 1263.90103
Tao, Min; Yuan, Xiaoming
32
2012
An LQP-based decomposition method for solving a class of variational inequalities. Zbl 1241.65063
Yuan, Xiaoming; Li, Min
31
2011
A descent method for structured monotone variational inequalities. Zbl 1196.90118
Ye, Caihong; Yuan, Xiaoming
29
2007
An alternating direction-based contraction method for linearly constrained separable convex programming problems. Zbl 1273.90122
He, Bingsheng; Tao, Min; Xu, Minghua; Yuan, Xiaoming
29
2013
A customized proximal point algorithm for convex minimization with linear constraints. Zbl 1287.90048
He, Bingsheng; Yuan, Xiaoming; Zhang, Wenxing
29
2013
Feedback control of subsonic cavity flows using reduced-order models. Zbl 1113.76008
Samimy, M.; Debiasi, M.; Caraballo, E.; Serrani, A.; Yuan, X.; Little, J.; Myatt, J. H.
28
2007
A customized Douglas-Rachford splitting algorithm for separable convex minimization with linear constraints. Zbl 1295.90046
Han, Deren; He, Hongjin; Yang, Hai; Yuan, Xiaoming
28
2014
An ADM-based splitting method for separable convex programming. Zbl 1269.90078
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing; Cai, Xingju
27
2013
A proximal point algorithm revisit on the alternating direction method of multipliers. Zbl 1292.65062
Cai, XingJu; Gu, GuoYong; He, BingSheng; Yuan, XiaoMing
27
2013
Coupled variational image decomposition and restoration model for blurred cartoon-plus-texture images with missing pixels. Zbl 1373.94301
Ng, Michael K.; Yuan, Xiaoming; Zhang, Wenxing
25
2013
Convergence rate analysis for the alternating direction method of multipliers with a substitution procedure for separable convex programming. Zbl 1371.90103
He, Bingsheng; Tao, Min; Yuan, Xiaoming
25
2017
Convergence analysis of Douglas-Rachford splitting method for “strongly + weakly” convex programming. Zbl 1368.47038
Guo, Ke; Han, Deren; Yuan, Xiaoming
24
2017
An LQP based interior prediciton-correction method for nonlinear complementarity problems. Zbl 1109.65054
He, Bingsheng; Liao, Lizhi; Yuan, Xiaoming
22
2006
Computing the nearest Euclidean distance matrix with low embedding dimensions. Zbl 1304.49051
Qi, Hou-Duo; Yuan, Xiaoming
22
2014
A logarithmic-quadratic proximal prediction-correction method for structured monotone variational inequalities. Zbl 1121.90119
He, Bing-Sheng; Xu, Ya; Yuan, Xiao-Ming
21
2006
Optimally linearizing the alternating direction method of multipliers for convex programming. Zbl 1432.90111
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
20
2020
An algorithmic framework of generalized primal-dual hybrid gradient methods for saddle point problems. Zbl 1387.90186
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
19
2017
Bregman distances and Chebyshev sets. Zbl 1175.49017
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
19
2009
A sequential updating scheme of the Lagrange multiplier for separable convex programming. Zbl 1348.90520
Dai, Yu-Hong; Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
19
2017
Block-wise alternating direction method of multipliers for multiple-block convex programming and beyond. Zbl 1418.90193
He, Bingsheng; Yuan, Xiaoming
19
2015
A proximal strictly contractive Peaceman-Rachford splitting method for convex programming with applications to imaging. Zbl 1327.90215
Li, Xinxin; Yuan, Xiaoming
17
2015
Linearized alternating direction method of multipliers with Gaussian back substitution for separable convex programming. Zbl 1264.90139
He, Bingsheng; Yuan, Xiaoming
17
2013
The flare package for high dimensional linear regression and precision matrix estimation in R. Zbl 1337.62007
Li, Xingguo; Zhao, Tuo; Yuan, Xiaoming; Liu, Han
17
2015
Optimal proximal augmented Lagrangian method and its application to full Jacobian splitting for multi-block separable convex minimization problems. Zbl 1462.65066
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
17
2020
Linearized alternating direction method of multipliers for sparse group and fused Lasso models. Zbl 1506.62112
Li, Xinxin; Mo, Lili; Yuan, Xiaoming; Zhang, Jianzhong
16
2014
A heuristic algorithm for constrained multi-source Weber problem - the variational inequality approach. Zbl 1149.90091
Jiang, Jian-Lin; Yuan, Xiao-Ming
15
2008
New parallel descent-like method for solving a class of variational inequalities. Zbl 1197.90335
Jiang, Z. K.; Yuan, X. M.
15
2010
A Lagrangian dual approach to the single-source localization problem. Zbl 1393.94401
Qi, Hou-Duo; Xiu, Naihua; Yuan, Xiaoming
15
2013
A strictly contractive Peaceman-Rachford splitting method with logarithmic-quadratic proximal regularization for convex programming. Zbl 1329.90106
Li, Min; Yuan, Xiaoming
14
2015
Discerning the linear convergence of ADMM for structured convex optimization through the lens of variational analysis. Zbl 1504.90096
Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
14
2020
Variational analysis perspective on linear convergence of some first order methods for nonsmooth convex optimization problems. Zbl 1484.90082
Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
14
2021
A class of ADMM-based algorithms for three-block separable convex programming. Zbl 1393.90085
He, Bingsheng; Yuan, Xiaoming
13
2018
On the optimal linear convergence rate of a generalized proximal point algorithm. Zbl 06858875
Tao, Min; Yuan, Xiaoming
12
2018
The GUS-property of second-order cone linear complementarity problems. Zbl 1291.90268
Yang, Wei Hong; Yuan, Xiaoming
12
2013
Linearized alternating direction method for constrained linear least-squares problem. Zbl 1284.68624
Chan, Raymond H.; Tao, Min; Yuan, Xiaoming
12
2012
An efficient simultaneous method for the constrained multiple-sets split feasibility problem. Zbl 1282.90131
Zhang, Wenxing; Han, Deren; Yuan, Xiaoming
11
2012
Partial error bound conditions and the linear convergence rate of the alternating direction method of multipliers. Zbl 1402.90121
Liu, Yongchao; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
11
2018
A hybrid inexact logarithmic-quadratic proximal method for nonlinear complementarity problems. Zbl 1104.90049
Xu, Ya; He, Bingsheng; Yuan, Xiaoming
10
2006
The prediction-correction approach to nonlinear complementarity problems. Zbl 1102.90064
Yuan, Xiao-Ming
10
2007
An accelerated inexact proximal point algorithm for convex minimization. Zbl 1256.90033
He, Bingsheng; Yuan, Xiaoming
10
2012
Inexact alternating direction methods of multipliers with logarithmic-quadratic proximal regularization. Zbl 1282.90197
Li, Min; Liao, Li-Zhi; Yuan, Xiaoming
10
2013
Block-wise ADMM with a relaxation factor for multiple-block convex programming. Zbl 1424.90204
He, Bing-Sheng; Xu, Ming-Hua; Yuan, Xiao-Ming
10
2018
A modified descent method for co-coercive variational inequalities. Zbl 1148.90334
Li, Min; Liao, Li-Zhi; Yuan, Xiao-Ming
9
2008
An inexact parallel splitting augmented Lagrangian method for monotone variational inequalities with separable structures. Zbl 1269.90119
Tao, Min; Yuan, Xiaoming
8
2012
An improved general extra-gradient method with refined step size for nonlinear monotone variational inequalities. Zbl 1128.49026
Xu, M. H.; Yuan, X. M.; Huang, Q. L.
8
2007
Linearized primal-dual methods for linear inverse problems with total variation regularization and finite element discretization. Zbl 1356.65151
Tian, Wenyi; Yuan, Xiaoming
8
2016
An improved proximal alternating direction method for monotone variational inequalities with separable structure. Zbl 1219.90174
Yuan, Xiaoming
8
2011
On Glowinski’s open question on the alternating direction method of multipliers. Zbl 1407.90259
Tao, Min; Yuan, Xiaoming
8
2018
A globally convergent proximal Newton-type method in nonsmooth convex optimization. Zbl 1512.90171
Mordukhovich, Boris S.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
8
2023
Likelihood centered asymptotic model exponential and location model versions. Zbl 0953.62017
Cakmak, S.; Fraser, D. A. S.; McDunnough, P.; Reid, N.; Yuan, X.
7
1998
Proximal point algorithms for general variational inequalities. Zbl 1198.90374
Li, M.; Liao, L. Z.; Yuan, X. M.
7
2009
Applications of the alternating direction method of multipliers to the semidefinite inverse quadratic eigenvalue problem with a partial eigenstructure. Zbl 1280.65036
Bai, Zhengjian; Chen, Meixiang; Yuan, Xiaoming
7
2013
A unified framework of some proximal-based decomposition methods for monotone variational inequalities with separable structures. Zbl 1286.90149
He, Bingsheng; Yuan, Xiaoming
7
2012
Extended LQP method for monotone nonlinear complementarity problems. Zbl 1146.90078
Bnouhachem, A.; Yuan, X. M.
6
2007
A Barzilai-Borwein-based heuristic algorithm for locating multiple facilities with regional demand. Zbl 1243.90097
Jiang, Jianlin; Yuan, Xiaoming
6
2012
Convergence analysis of the generalized alternating direction method of multipliers with logarithmic-quadratic proximal regularization. Zbl 1307.90138
Li, Min; Li, Xinxin; Yuan, Xiaoming
6
2015
Median filtering-based methods for static background extraction from surveillance video. Zbl 1349.94023
Li, Xinxin; Ng, Michael K.; Yuan, Xiaoming
6
2015
Bilinear optimal control of an advection-reaction-diffusion system. Zbl 1487.49038
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui
6
2022
An ADMM numerical approach to linear parabolic state constrained optimal control problems. Zbl 1436.49042
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming
6
2020
Alternating algorithms for total variation image reconstruction from random projections. Zbl 1260.94023
Xiao, Yunhai; Yang, Junfeng; Yuan, Xiaoming
6
2012
Bregman distances and Klee sets. Zbl 1172.52005
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
5
2009
The improvement with relative errors of He et al.’s inexact alternating direction method for monotone variational inequalities. Zbl 1081.49010
Yuan, Xiao-Ming
5
2005
Application of the strictly contractive Peaceman-Rachford splitting method to multi-block separable convex programming. Zbl 1372.65172
He, Bingsheng; Liu, Han; Lu, Juwei; Yuan, Xiaoming
5
2016
Convergence analysis of the direct extension of ADMM for multiple-block separable convex minimization. Zbl 1393.90089
Tao, Min; Yuan, Xiaoming
5
2018
Total variation based tensor decomposition for multi-dimensional data with time dimension. Zbl 1349.65141
Chen, Chuan; Li, Xutao; Ng, Michael K.; Yuan, Xiaoming
4
2015
An inexact Uzawa algorithmic framework for nonlinear saddle point problems with applications to elliptic optimal control problem. Zbl 1429.49008
Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui
4
2019
Perturbation techniques for convergence analysis of proximal gradient method and other first-order algorithms via variational analysis. Zbl 1487.90643
Wang, Xiangfeng; Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
4
2022
Convergence analysis of primal-dual based methods for total variation minimization with finite element approximation. Zbl 1397.65196
Tian, WenYi; Yuan, Xiaoming
4
2018
A globally convergent proximal Newton-type method in nonsmooth convex optimization. Zbl 1512.90171
Mordukhovich, Boris S.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
8
2023
Difference of convex algorithms for bilevel programs with applications in hyperparameter selection. Zbl 1515.90110
Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
1
2023
Bilinear optimal control of an advection-reaction-diffusion system. Zbl 1487.49038
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui
6
2022
Perturbation techniques for convergence analysis of proximal gradient method and other first-order algorithms via variational analysis. Zbl 1487.90643
Wang, Xiangfeng; Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
4
2022
On convergence of the Arrow-Hurwicz method for saddle point problems. Zbl 07630564
He, Bingsheng; Xu, Shengjie; Yuan, Xiaoming
3
2022
A generalized primal-dual algorithm with improved convergence condition for saddle point problems. Zbl 1494.94009
He, Bingsheng; Ma, Feng; Xu, Shengjie; Yuan, Xiaoming
2
2022
Application of the alternating direction method of multipliers to control constrained parabolic optimal control problems and beyond. Zbl 1499.49090
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui
1
2022
The springback penalty for robust signal recovery. Zbl 1496.94010
An, Congpei; Wu, Hao-Ning; Yuan, Xiaoming
1
2022
Variational analysis perspective on linear convergence of some first order methods for nonsmooth convex optimization problems. Zbl 1484.90082
Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
14
2021
An ADMM-Newton-CNN numerical approach to a TV model for identifying discontinuous diffusion coefficients in elliptic equations: convex case with gradient observations. Zbl 1478.65109
Tian, Wenyi; Yuan, Xiaoming; Yue, Hangrui
2
2021
Discrete approximation scheme in distributionally robust optimization. Zbl 1488.90246
Liu, Yongchao; Yuan, Xiaoming; Zhang, Jin
1
2021
On the optimal proximal parameter of an ADMM-like splitting method for separable convex programming. Zbl 07468060
He, Bingsheng; Yuan, Xiaoming
1
2021
Optimally linearizing the alternating direction method of multipliers for convex programming. Zbl 1432.90111
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
20
2020
Optimal proximal augmented Lagrangian method and its application to full Jacobian splitting for multi-block separable convex minimization problems. Zbl 1462.65066
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
17
2020
Discerning the linear convergence of ADMM for structured convex optimization through the lens of variational analysis. Zbl 1504.90096
Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
14
2020
An ADMM numerical approach to linear parabolic state constrained optimal control problems. Zbl 1436.49042
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming
6
2020
Stability and optimization error of stochastic gradient descent for pairwise learning. Zbl 1490.68191
Shen, Wei; Yang, Zhenhuan; Ying, Yiming; Yuan, Xiaoming
3
2020
An inexact Uzawa algorithmic framework for nonlinear saddle point problems with applications to elliptic optimal control problem. Zbl 1429.49008
Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui
4
2019
An alternating direction method of multipliers with a worst-case \(O(1/n^2)\) convergence rate. Zbl 1414.90272
Tian, Wenyi; Yuan, Xiaoming
3
2019
An accelerated primal-dual iterative scheme for the \(L^2\)-TV regularized model of linear inverse problems. Zbl 07027449
Tian, Wenyi; Yuan, Xiaoming
2
2019
A class of ADMM-based algorithms for three-block separable convex programming. Zbl 1393.90085
He, Bingsheng; Yuan, Xiaoming
13
2018
On the optimal linear convergence rate of a generalized proximal point algorithm. Zbl 06858875
Tao, Min; Yuan, Xiaoming
12
2018
Partial error bound conditions and the linear convergence rate of the alternating direction method of multipliers. Zbl 1402.90121
Liu, Yongchao; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
11
2018
Block-wise ADMM with a relaxation factor for multiple-block convex programming. Zbl 1424.90204
He, Bing-Sheng; Xu, Ming-Hua; Yuan, Xiao-Ming
10
2018
On Glowinski’s open question on the alternating direction method of multipliers. Zbl 1407.90259
Tao, Min; Yuan, Xiaoming
8
2018
Convergence analysis of the direct extension of ADMM for multiple-block separable convex minimization. Zbl 1393.90089
Tao, Min; Yuan, Xiaoming
5
2018
Convergence analysis of primal-dual based methods for total variation minimization with finite element approximation. Zbl 1397.65196
Tian, WenYi; Yuan, Xiaoming
4
2018
Implementing the alternating direction method of multipliers for big datasets: a case study of least absolute shrinkage and selection operator. Zbl 1398.65147
Yue, Hangrui; Yang, Qingzhi; Wang, Xiangfeng; Yuan, Xiaoming
3
2018
The generalized proximal point algorithm with step size 2 is not necessarily convergent. Zbl 1393.90088
Tao, Min; Yuan, Xiaoming
2
2018
On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function. Zbl 1372.90079
Cai, Xingju; Han, Deren; Yuan, Xiaoming
43
2017
Convergence rate analysis for the alternating direction method of multipliers with a substitution procedure for separable convex programming. Zbl 1371.90103
He, Bingsheng; Tao, Min; Yuan, Xiaoming
25
2017
Convergence analysis of Douglas-Rachford splitting method for “strongly + weakly” convex programming. Zbl 1368.47038
Guo, Ke; Han, Deren; Yuan, Xiaoming
24
2017
An algorithmic framework of generalized primal-dual hybrid gradient methods for saddle point problems. Zbl 1387.90186
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
19
2017
A sequential updating scheme of the Lagrange multiplier for separable convex programming. Zbl 1348.90520
Dai, Yu-Hong; Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
19
2017
Accelerated Uzawa methods for convex optimization. Zbl 1360.90206
Tao, Min; Yuan, Xiaoming
3
2017
Primal-dual hybrid gradient method for distributionally robust optimization problems. Zbl 1409.90124
Liu, Yongchao; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
3
2017
On the iteration complexity of some projection methods for monotone linear variational inequalities. Zbl 1362.90350
Chen, Caihua; Fu, Xiaoling; He, Bingsheng; Yuan, Xiaoming
1
2017
Lattice-based patterned fabric inspection by using total variation with sparsity and low-rank representations. Zbl 1401.90160
Ng, Michael K.; Ngan, Henry Y. T.; Yuan, Xiaoming; Zhang, Wenxing
1
2017
The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent. Zbl 1332.90193
Chen, Caihua; He, Bingsheng; Ye, Yinyu; Yuan, Xiaoming
197
2016
Convergence study on the symmetric version of ADMM with larger step sizes. Zbl 1381.90066
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
50
2016
On the proximal Jacobian decomposition of ALM for multiple-block separable convex minimization problems and its relationship to ADMM. Zbl 1371.65052
He, Bingsheng; Xu, Hong-Kun; Yuan, Xiaoming
34
2016
Linearized primal-dual methods for linear inverse problems with total variation regularization and finite element discretization. Zbl 1356.65151
Tian, Wenyi; Yuan, Xiaoming
8
2016
Application of the strictly contractive Peaceman-Rachford splitting method to multi-block separable convex programming. Zbl 1372.65172
He, Bingsheng; Liu, Han; Lu, Juwei; Yuan, Xiaoming
5
2016
Alternating direction method of multipliers for linear programming. Zbl 1365.90200
He, Bing-Sheng; Yuan, Xiao-Ming
1
2016
On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers. Zbl 1320.90060
He, Bingsheng; Yuan, Xiaoming
91
2015
On full Jacobian decomposition of the augmented Lagrangian method for separable convex programming. Zbl 1327.90209
He, Bingsheng; Hou, Liusheng; Yuan, Xiaoming
61
2015
A splitting method for separable convex programming. Zbl 1310.65062
He, Bingsheng; Tao, Min; Yuan, Xiaoming
51
2015
Generalized alternating direction method of multipliers: new theoretical insights and applications. Zbl 1353.90110
Fang, Ethan X.; He, Bingsheng; Liu, Han; Yuan, Xiaoming
40
2015
On the convergence rate of Douglas-Rachford operator splitting method. Zbl 1327.90211
He, Bingsheng; Yuan, Xiaoming
34
2015
Block-wise alternating direction method of multipliers for multiple-block convex programming and beyond. Zbl 1418.90193
He, Bingsheng; Yuan, Xiaoming
19
2015
A proximal strictly contractive Peaceman-Rachford splitting method for convex programming with applications to imaging. Zbl 1327.90215
Li, Xinxin; Yuan, Xiaoming
17
2015
The flare package for high dimensional linear regression and precision matrix estimation in R. Zbl 1337.62007
Li, Xingguo; Zhao, Tuo; Yuan, Xiaoming; Liu, Han
17
2015
A strictly contractive Peaceman-Rachford splitting method with logarithmic-quadratic proximal regularization for convex programming. Zbl 1329.90106
Li, Min; Yuan, Xiaoming
14
2015
Convergence analysis of the generalized alternating direction method of multipliers with logarithmic-quadratic proximal regularization. Zbl 1307.90138
Li, Min; Li, Xinxin; Yuan, Xiaoming
6
2015
Median filtering-based methods for static background extraction from surveillance video. Zbl 1349.94023
Li, Xinxin; Ng, Michael K.; Yuan, Xiaoming
6
2015
Total variation based tensor decomposition for multi-dimensional data with time dimension. Zbl 1349.65141
Chen, Chuan; Li, Xutao; Ng, Michael K.; Yuan, Xiaoming
4
2015
Further study on the convergence rate of alternating direction method of multipliers with logarithmic-quadratic proximal regularization. Zbl 1327.90199
Chen, Caihua; Li, Min; Yuan, Xiaoming
3
2015
A strictly contractive Peaceman-Rachford splitting method for convex programming. Zbl 1327.90210
He, Bingsheng; Liu, Han; Wang, Zhaoran; Yuan, Xiaoming
69
2014
A generalized proximal point algorithm and its convergence rate. Zbl 1311.90099
Corman, Etienne; Yuan, Xiaoming
52
2014
An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing. Zbl 1311.90100
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
48
2014
On the convergence of primal-dual hybrid gradient algorithm. Zbl 1308.90129
He, Bingsheng; You, Yanfei; Yuan, Xiaoming
44
2014
Customized proximal point algorithms for linearly constrained convex minimization and saddle-point problems: a unified approach. Zbl 1303.90080
Gu, Guoyong; He, Bingsheng; Yuan, Xiaoming
33
2014
A customized Douglas-Rachford splitting algorithm for separable convex minimization with linear constraints. Zbl 1295.90046
Han, Deren; He, Hongjin; Yang, Hai; Yuan, Xiaoming
28
2014
Computing the nearest Euclidean distance matrix with low embedding dimensions. Zbl 1304.49051
Qi, Hou-Duo; Yuan, Xiaoming
22
2014
Linearized alternating direction method of multipliers for sparse group and fused Lasso models. Zbl 1506.62112
Li, Xinxin; Mo, Lili; Yuan, Xiaoming; Zhang, Jianzhong
16
2014
Linearized augmented Lagrangian and alternating direction methods for nuclear norm minimization. Zbl 1263.90062
Yang, Junfeng; Yuan, Xiaoming
103
2013
Constrained total variation deblurring models and fast algorithms based on alternating direction method of multipliers. Zbl 1279.68322
Chan, Raymond H.; Tao, Min; Yuan, Xiaoming
71
2013
Local linear convergence of the alternating direction method of multipliers for quadratic programs. Zbl 1285.90033
Han, Deren; Yuan, Xiaoming
59
2013
Sparse and low-rank matrix decomposition via alternating direction method. Zbl 1269.90061
Yuan, Xiaoming; Yang, Junfeng
36
2013
An alternating direction-based contraction method for linearly constrained separable convex programming problems. Zbl 1273.90122
He, Bingsheng; Tao, Min; Xu, Minghua; Yuan, Xiaoming
29
2013
A customized proximal point algorithm for convex minimization with linear constraints. Zbl 1287.90048
He, Bingsheng; Yuan, Xiaoming; Zhang, Wenxing
29
2013
An ADM-based splitting method for separable convex programming. Zbl 1269.90078
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing; Cai, Xingju
27
2013
A proximal point algorithm revisit on the alternating direction method of multipliers. Zbl 1292.65062
Cai, XingJu; Gu, GuoYong; He, BingSheng; Yuan, XiaoMing
27
2013
Coupled variational image decomposition and restoration model for blurred cartoon-plus-texture images with missing pixels. Zbl 1373.94301
Ng, Michael K.; Yuan, Xiaoming; Zhang, Wenxing
25
2013
Linearized alternating direction method of multipliers with Gaussian back substitution for separable convex programming. Zbl 1264.90139
He, Bingsheng; Yuan, Xiaoming
17
2013
A Lagrangian dual approach to the single-source localization problem. Zbl 1393.94401
Qi, Hou-Duo; Xiu, Naihua; Yuan, Xiaoming
15
2013
The GUS-property of second-order cone linear complementarity problems. Zbl 1291.90268
Yang, Wei Hong; Yuan, Xiaoming
12
2013
Inexact alternating direction methods of multipliers with logarithmic-quadratic proximal regularization. Zbl 1282.90197
Li, Min; Liao, Li-Zhi; Yuan, Xiaoming
10
2013
Applications of the alternating direction method of multipliers to the semidefinite inverse quadratic eigenvalue problem with a partial eigenstructure. Zbl 1280.65036
Bai, Zhengjian; Chen, Meixiang; Yuan, Xiaoming
7
2013
A phase model for point spread function estimation in ground-based astronomy. Zbl 1303.90104
Chan, Raymond Honfu; Yuan, Xiaoming; Zhang, Wenxing
3
2013
Forward-backward-based descent methods for composite variational inequalities. Zbl 1282.90196
He, Bingsheng; Yuan, Xiaoming
1
2013
On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
298
2012
Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152
He, Bingsheng; Tao, Min; Yuan, Xiaoming
155
2012
Convergence analysis of primal-dual algorithms for a saddle-point problem: from contraction perspective. Zbl 1250.90066
He, Bingsheng; Yuan, Xiaoming
144
2012
A note on the alternating direction method of multipliers. Zbl 1255.90093
Han, Deren; Yuan, Xiaoming
85
2012
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
57
2012
The linearized alternating direction method of multipliers for Dantzig selector. Zbl 1263.90061
Wang, Xiangfeng; Yuan, Xiaoming
49
2012
Alternating direction method for covariance selection models. Zbl 1255.65031
Yuan, Xiaoming
36
2012
On the \(O(1/t)\) convergence rate of alternating direction method with logarithmic-quadratic proximal regularization. Zbl 1263.90103
Tao, Min; Yuan, Xiaoming
32
2012
Linearized alternating direction method for constrained linear least-squares problem. Zbl 1284.68624
Chan, Raymond H.; Tao, Min; Yuan, Xiaoming
12
2012
An efficient simultaneous method for the constrained multiple-sets split feasibility problem. Zbl 1282.90131
Zhang, Wenxing; Han, Deren; Yuan, Xiaoming
11
2012
An accelerated inexact proximal point algorithm for convex minimization. Zbl 1256.90033
He, Bingsheng; Yuan, Xiaoming
10
2012
An inexact parallel splitting augmented Lagrangian method for monotone variational inequalities with separable structures. Zbl 1269.90119
Tao, Min; Yuan, Xiaoming
8
2012
A unified framework of some proximal-based decomposition methods for monotone variational inequalities with separable structures. Zbl 1286.90149
He, Bingsheng; Yuan, Xiaoming
7
2012
A Barzilai-Borwein-based heuristic algorithm for locating multiple facilities with regional demand. Zbl 1243.90097
Jiang, Jianlin; Yuan, Xiaoming
6
2012
Alternating algorithms for total variation image reconstruction from random projections. Zbl 1260.94023
Xiao, Yunhai; Yang, Junfeng; Yuan, Xiaoming
6
2012
Recovering low-rank and sparse components of matrices from incomplete and noisy observations. Zbl 1218.90115
Tao, Min; Yuan, Xiaoming
144
2011
Alternating direction method for image inpainting in wavelet domains. Zbl 1234.68448
Chan, Raymond H.; Yang, Junfeng; Yuan, Xiaoming
40
2011
Inexact alternating direction methods for image recovery. Zbl 1234.94013
Ng, Michael K.; Wang, Fan; Yuan, Xiaoming
37
2011
Solving large-scale least squares semidefinite programming by alternating direction methods. Zbl 1243.49039
He, Bingsheng; Xu, Minghua; Yuan, Xiaoming
37
2011
...and 31 more Documents
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Cited by 1,984 Authors

79 Yuan, Xiaoming
52 Han, Deren
36 Bnouhachem, Abdellah
36 He, Bingsheng
31 Cai, Xingju
31 Li, Min
26 Huang, Ting-Zhu
23 He, Hongjin
22 Shehu, Yekini
18 Ng, Michael Kwok-Po
18 Sun, Min
18 Zhang, Wenxing
17 Ma, Feng
17 Noor, Muhammad Aslam
16 Yao, Jen-Chih
16 Zhao, Xile
15 Shen, Yuan
15 Wu, Zhongming
14 Bai, Jianchao
14 Liu, Sanyang
14 Ma, Shiqian
13 Chang, Xiaokai
13 Xiao, Yunhai
13 Yang, Junfeng
12 Sun, Defeng
12 Tao, Min
12 Toh, Kim Chuan
12 Tran Dinh Quoc
11 Tang, Yuchao
11 Wang, Kai
11 Yin, Wotao
11 Zhang, Shuzhong
10 Jian, Jinbao
10 Wu, Chunlin
10 Zeng, Tie Yong
9 Fu, Xiaoling
9 Guo, Ke
9 Jiang, Fan
9 Jiang, Jianlin
9 Kong, Lingchen
9 Li, Jicheng
9 Wang, Xiangfeng
9 Xu, Yangyang
9 Zhang, Hongchao
8 Chen, Caihua
8 Dong, Qiaoli
8 Iyiola, Olaniyi Samuel
8 Li, Xinxin
8 Liu, Jing
8 Liu, Jun
8 Ma, Tian-Hui
8 Pang, Zhifeng
8 Pock, Thomas
8 Valkonen, Tuomo
8 Wu, Tingting
8 Yang, Yufei
8 Zhang, Jin
7 Cholamjiak, Prasit
7 Fang, Yaping
7 Gonçalves, Max L. N.
7 Gu, GuoYong
7 He, Songnian
7 Hu, Rong
7 Jia, ZeHui
7 Lan, Guanghui
7 Lanza, Alessandro
7 Liao, Li-Zhi
7 Liu, Pengjie
7 Lv, Xiaoguang
7 Ni, Mingfang
7 Peng, Jigen
7 Peng, Zheng
7 Pong, Ting Kei
7 Sgallari, Fiorella
7 Song, YongCun
7 Tai, Xuecheng
7 Wen, Zaiwen
7 Xiu, Naihua
7 Xu, Hong-Kun
7 Yang, Weihong
7 Yao, Yonghong
7 Zhang, Lei-Hong
7 Zhang, Su
6 Ansari, Qamrul Hasan
6 Ceng, Lu-Chuan
6 Cheng, Lizhi
6 Deng, Zhao
6 Goldfarb, Donald
6 Gu, Yan
6 Izuchukwu, Chinedu
6 Jin, Zhengfen
6 Khalfaoui, Mohamed
6 Li, Qingna
6 Liou, Yeongcheng
6 Liu, Xin
6 Melo, Jefferson G.
6 Morigi, Serena
6 Peng, Jianwen
6 Shen, Chungen
6 Sun, Hongpeng
...and 1,884 more Authors
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Cited in 204 Serials

82 Computational Optimization and Applications
60 SIAM Journal on Optimization
59 Journal of Scientific Computing
51 Journal of Optimization Theory and Applications
47 Applied Mathematics and Computation
42 Journal of Computational and Applied Mathematics
39 Optimization
39 SIAM Journal on Imaging Sciences
36 Journal of Global Optimization
35 Journal of Industrial and Management Optimization
33 Numerical Algorithms
32 Mathematical Programming. Series A. Series B
32 Journal of Inequalities and Applications
31 Journal of the Operations Research Society of China
26 Inverse Problems
24 Applied Numerical Mathematics
23 Optimization Letters
22 Mathematical Problems in Engineering
22 Inverse Problems and Imaging
20 Computers & Mathematics with Applications
19 Journal of Mathematical Imaging and Vision
19 Computational and Applied Mathematics
18 Abstract and Applied Analysis
18 Optimization Methods & Software
16 Advances in Computational Mathematics
15 Journal of Applied Mathematics and Computing
13 Asia-Pacific Journal of Operational Research
13 Applied Mathematical Modelling
12 Journal of the Franklin Institute
12 European Journal of Operational Research
11 Mathematics of Computation
11 Information Sciences
11 International Journal of Computer Mathematics
11 SIAM Journal on Scientific Computing
11 Journal of Machine Learning Research (JMLR)
10 Mathematical Programming Computation
10 Science China. Mathematics
10 Numerical Algebra, Control and Optimization
9 Optimization and Engineering
8 SIAM Journal on Numerical Analysis
7 Mathematics of Operations Research
7 Multidimensional Systems and Signal Processing
7 Computational Statistics and Data Analysis
7 International Journal of Computer Vision
7 Fixed Point Theory and Applications
7 Frontiers of Mathematics in China
6 Journal of Mathematical Analysis and Applications
6 Calcolo
6 Numerical Functional Analysis and Optimization
6 Numerische Mathematik
6 Linear Algebra and its Applications
6 Journal of Convex Analysis
6 Journal of Applied Mathematics
6 Set-Valued and Variational Analysis
6 Journal of Nonlinear and Variational Analysis
5 Applied Mathematics and Optimization
5 Mathematical Methods of Operations Research
5 East Asian Journal on Applied Mathematics
4 Automatica
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Bulletin of the Iranian Mathematical Society
4 Neural Networks
4 Machine Learning
4 Japan Journal of Industrial and Applied Mathematics
4 Numerical Linear Algebra with Applications
4 Journal of Inverse and Ill-Posed Problems
4 INFORMS Journal on Computing
4 Acta Mathematica Sinica. English Series
4 Networks and Spatial Economics
4 Electronic Journal of Statistics
4 Advances in Applied Mathematics and Mechanics
4 Journal of Computational and Graphical Statistics
3 International Journal of Modern Physics B
3 Journal of Computational Physics
3 Journal of the American Statistical Association
3 Journal of Approximation Theory
3 Optimal Control Applications & Methods
3 Operations Research Letters
3 Circuits, Systems, and Signal Processing
3 Computational Statistics
3 Journal of Statistical Computation and Simulation
3 Applied and Computational Harmonic Analysis
3 ETNA. Electronic Transactions on Numerical Analysis
3 Discrete Dynamics in Nature and Society
3 Foundations of Computational Mathematics
3 4OR
3 Journal of Fixed Point Theory and Applications
3 Advances in Data Analysis and Classification. ADAC
3 Journal of Nonlinear Science and Applications
3 Advances in Operations Research
3 Journal of Function Spaces
3 SMAI Journal of Computational Mathematics
3 OJMO. Open Journal of Mathematical Optimization
2 Bulletin of the Australian Mathematical Society
2 Mathematical Methods in the Applied Sciences
2 Annals of the Institute of Statistical Mathematics
2 The Annals of Statistics
2 Journal of Multivariate Analysis
2 Systems & Control Letters
2 Statistics & Probability Letters
...and 104 more Serials
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Cited in 42 Fields

930 Operations research, mathematical programming (90-XX)
673 Numerical analysis (65-XX)
293 Calculus of variations and optimal control; optimization (49-XX)
248 Information and communication theory, circuits (94-XX)
182 Computer science (68-XX)
171 Operator theory (47-XX)
117 Statistics (62-XX)
64 Linear and multilinear algebra; matrix theory (15-XX)
37 Biology and other natural sciences (92-XX)
28 Partial differential equations (35-XX)
25 Systems theory; control (93-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Convex and discrete geometry (52-XX)
12 Functional analysis (46-XX)
10 Real functions (26-XX)
10 Ordinary differential equations (34-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Approximations and expansions (41-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Probability theory and stochastic processes (60-XX)
8 Mechanics of deformable solids (74-XX)
7 Fluid mechanics (76-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Combinatorics (05-XX)
4 Optics, electromagnetic theory (78-XX)
4 Quantum theory (81-XX)
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1 Integral equations (45-XX)
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1 Astronomy and astrophysics (85-XX)
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