Edit Profile (opens in new tab) Yin, Wotao Co-Author Distance Author ID: yin.wotao Published as: Yin, Wotao; Yin, Wo-Tao Homepage: http://www.math.ucla.edu/~wotaoyin/ External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 148 Publications since 1999, including 1 Book and 45 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 148 Co-Authors with 147 Joint Publications 5,603 Co-Co-Authors all top 5 Co-Authors 2 single-authored 21 Osher, Stanley Joel 13 Wen, Zaiwen 13 Xu, Yangyang 11 Sun, Yuejiao 10 Goldfarb, Donald 10 Yuan, Kun 9 Chen, Tianyi 9 Zhang, Yin 8 Chow, Yat Tin 8 Liu, Jialin 8 Liu, Yanli 8 Ryu, Ernest K. 6 Cai, Hanqin 6 Hannah, Robert 6 Huang, Xinmeng 6 Ling, Qing 6 Mckenzie, Daniel 6 Yan, Ming 5 Heaton, Howard 5 Peng, Zhimin 4 Chen, Xiaohan 4 Chen, Yiming 4 Chen, Ziang 4 Darbon, Jerome 4 Feng, Fei 4 Li, Wuchen 4 Shi, Wei 4 Sun, Tao 4 Wang, Xinshang 4 Wu, Tianyu 4 Zeng, Jinshan 4 Zhang, Hui 3 Baraniuk, Richard G. 3 Davis, Damek Shea 3 Fung, Samy Wu 3 Jin, Rong 3 Lai, Mingjun 3 Wang, Yilun 3 Wang, Zhangyang 3 Wu, Gang 3 Xu, Yi 3 Yang, Junfeng 3 Yang, Tianbao 2 Cheng, Lizhi 2 Deng, Wei 2 Ding, Lisang 2 Glowinski, Roland 2 Guo, Weihong 2 Guo, Zhishuai 2 Hale, Elaine T. 2 Li, Qiuwei 2 Lu, Jianfeng 2 Mao, Xianghui 2 Pan, Pan 2 Sankaranarayanan, Aswin C. 2 Sayed, Ali H. 2 Sun, Mou 2 Xiao, Quan 2 Zhang, Zhenliang 1 Azencot, Omri 1 Bertozzi, Andrea Louise 1 Burger, Martin 1 Chartrand, Rick 1 Chen, Tianlong 1 Chen, Wuyang 1 Chen, Yifan 1 Chen, Yunmei 1 Diggavi, Suhas N. 1 Dong, Bin 1 Dong, Yiqiu 1 Du, Simon S. 1 Edmunds, Brent 1 Fang, Cong 1 Fedkiw, Ron 1 Gangbo, Wilfrid 1 Garcia-Cardona, Cristina 1 Giannakis, Georgios B. 1 Gibali, Aviv 1 Gu, Xianfeng 1 Gu, Yuantao 1 Guo, Ziye 1 Hager, William W. 1 Hao, Ruru 1 He, Yutong 1 Hegde, Chinmay 1 Henderson, Johnny Lee 1 Hu, Hanbin 1 Hu, Yubin 1 Huang, Feng 1 Huang, Ting-Zhu 1 Jiang, Hong 1 Jin, Kexin 1 Jin, Xiao 1 Karakus, Can 1 Kim, Bumsu 1 Lai, Rongjie 1 Laska, Jason N. 1 Lee, Byungjoon 1 Li, Chengbo 1 Li, Huan ...and 49 more Co-Authors all top 5 Serials 15 Journal of Scientific Computing 12 SIAM Journal on Imaging Sciences 11 IEEE Transactions on Signal Processing 7 SIAM Journal on Scientific Computing 5 Mathematical Programming. Series A. Series B 5 SIAM Journal on Optimization 3 Journal of Computational Mathematics 3 Computational Optimization and Applications 3 Communications in Mathematical Sciences 3 Inverse Problems and Imaging 2 Journal of Computational Physics 2 Journal of Optimization Theory and Applications 2 Applied and Computational Harmonic Analysis 2 Journal of Machine Learning Research (JMLR) 2 Multiscale Modeling & Simulation 2 Mathematical Programming Computation 2 Journal of the Operations Research Society of China 2 Annals of Mathematical Sciences and Applications 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Operations Research 1 SIAM Journal on Numerical Analysis 1 Mathematica Numerica Sinica 1 Applied Mathematics Letters 1 Computational Statistics and Data Analysis 1 Advances in Computational Mathematics 1 Optimization Methods & Software 1 SIAM Journal on Applied Dynamical Systems 1 Frontiers of Mathematics in China 1 Set-Valued and Variational Analysis 1 Information and Inference 1 SIAM Journal on Mathematics of Data Science 1 Scientific Computation 1 Fixed Point Theory and Algorithms for Sciences and Engineering all top 5 Fields 72 Operations research, mathematical programming (90-XX) 69 Numerical analysis (65-XX) 29 Information and communication theory, circuits (94-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 23 Computer science (68-XX) 8 Operator theory (47-XX) 5 Partial differential equations (35-XX) 5 Systems theory; control (93-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 4,040 times in 2,582 Documents Cited by ▼ Year ▼ An iterative regularization method for total variation-based image restoration. Zbl 1090.94003 Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao 308 2005 A new alternating minimization algorithm for total variation image reconstruction. Zbl 1187.68665 Wang, Yilun; Yang, Junfeng; Yin, Wotao; Zhang, Yin 290 2008 Bregman iterative algorithms for \(\ell_1\)-minimization with applications to compressed sensing. Zbl 1203.90153 Yin, Wotao; Osher, Stanley; Goldfarb, Donald; Darbon, Jerome 284 2008 Fixed-point continuation for \(\ell _1\)-minimization: methodology and convergence. Zbl 1180.65076 Hale, Elaine T.; Yin, Wotao; Zhang, Yin 181 2008 A feasible method for optimization with orthogonality constraints. Zbl 1281.49030 Wen, Zaiwen; Yin, Wotao 174 2013 A block coordinate descent method for regularized multiconvex optimization with applications to nonnegative tensor factorization and completion. Zbl 1280.49042 Xu, Yangyang; Yin, Wotao 167 2013 Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072 Wang, Yu; Yin, Wotao; Zeng, Jinshan 162 2019 On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036 Deng, Wei; Yin, Wotao 155 2016 Improved iteratively reweighted least squares for unconstrained smoothed \(\ell_q\) minimization. Zbl 1268.49038 Lai, Ming-Jun; Xu, Yangyang; Yin, Wotao 138 2013 EXTRA: an exact first-order algorithm for decentralized consensus optimization. Zbl 1328.90107 Shi, Wei; Ling, Qing; Wu, Gang; Yin, Wotao 127 2015 Alternating direction augmented Lagrangian methods for semidefinite programming. Zbl 1206.90088 Wen, Zaiwen; Goldfarb, Donald; Yin, Wotao 120 2010 Solving a low-rank factorization model for matrix completion by a nonlinear successive over-relaxation algorithm. Zbl 1271.65083 Wen, Zaiwen; Yin, Wotao; Zhang, Yin 118 2012 A three-operator splitting scheme and its optimization applications. Zbl 1464.47041 Davis, Damek; Yin, Wotao 108 2017 Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121 Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao 80 2017 An efficient TVL1 algorithm for deblurring multichannel images corrupted by impulsive noise. Zbl 1195.68110 Yang, Junfeng; Zhang, Yin; Yin, Wotao 79 2009 Convergence rate analysis of several splitting schemes. Zbl 1372.65168 Davis, Damek; Yin, Wotao 75 2016 A fast algorithm for sparse reconstruction based on shrinkage, subspace optimization, and continuation. Zbl 1215.49039 Wen, Zaiwen; Yin, Wotao; Goldfarb, Donald; Zhang, Yin 74 2010 On the linear convergence of the ADMM in decentralized consensus optimization. Zbl 1394.94532 Shi, Wei; Ling, Qing; Yuan, Kun; Wu, Gang; Yin, Wotao 71 2014 Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002 65 2016 An alternating direction algorithm for matrix completion with nonnegative factors. Zbl 1323.65044 Xu, Yangyang; Yin, Wotao; Wen, Zaiwen; Zhang, Yin 64 2012 A fast algorithm for edge-preserving variational multichannel image restoration. Zbl 1181.68304 Yang, Junfeng; Yin, Wotao; Zhang, Yin; Wang, Yilun 57 2009 Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040 Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao 51 2010 Parallel matrix factorization for low-rank tensor completion. Zbl 1359.15021 Xu, Yangyang; Hao, Ruru; Yin, Wotao; Su, Zhixun 51 2015 On the convergence of decentralized gradient descent. Zbl 1345.90068 Yuan, Kun; Ling, Qing; Yin, Wotao 49 2016 Analysis and generalizations of the linearized Bregman method. Zbl 1211.68491 Yin, Wotao 46 2010 Faster convergence rates of relaxed Peaceman-Rachford and ADMM under regularity assumptions. Zbl 1379.65035 Davis, Damek; Yin, Wotao 45 2017 A new detail-preserving regularization scheme. Zbl 1299.65130 Guo, Weihong; Qin, Jing; Yin, Wotao 43 2014 A globally convergent algorithm for nonconvex optimization based on block coordinate update. Zbl 1378.65126 Xu, Yangyang; Yin, Wotao 43 2017 Second-order cone programming methods for total variation-based image restoration. Zbl 1094.68108 Goldfarb, Donald; Yin, Wotao 41 2005 ARock: an algorithmic framework for asynchronous parallel coordinate updates. Zbl 1350.49041 Peng, Zhimin; Xu, Yangyang; Yan, Ming; Yin, Wotao 40 2016 Fixed-point continuation applied to compressed sensing: Implementation and numerical experiments. Zbl 1224.65153 Hale, Elaine T.; Yin, Wotao; Zhang, Yin 32 2010 Augmented \(\ell_1\) and nuclear-norm models with a globally linearly convergent algorithm. Zbl 1279.68329 Lai, Ming-Jun; Yin, Wotao 32 2013 Cauchy noise removal by nonconvex ADMM with convergence guarantees. Zbl 06858871 Mei, Jin-Jin; Dong, Yiqiu; Huang, Ting-Zhu; Yin, Wotao 31 2018 A proximal gradient algorithm for decentralized composite optimization. Zbl 1394.94531 Shi, Wei; Ling, Qing; Wu, Gang; Yin, Wotao 31 2015 Sparse signal reconstruction via iterative support detection. Zbl 1206.68340 Wang, Yilun; Yin, Wotao 29 2010 The total variation regularized \(L^1\) model for multiscale decomposition. Zbl 1355.49037 Yin, Wotao; Goldfarb, Donald; Osher, Stanley 28 2007 A parallel method for earth mover’s distance. Zbl 1398.65124 Li, Wuchen; Ryu, Ernest K.; Osher, Stanley; Yin, Wotao; Gangbo, Wilfrid 28 2018 Block stochastic gradient iteration for convex and nonconvex optimization. Zbl 1342.93125 Xu, Yangyang; Yin, Wotao 27 2015 Necessary and sufficient conditions of solution uniqueness in 1-norm minimization. Zbl 1308.65102 Zhang, Hui; Yin, Wotao; Cheng, Lizhi 23 2015 An efficient augmented Lagrangian method with applications to total variation minimization. Zbl 1287.90066 Li, Chengbo; Yin, Wotao; Jiang, Hong; Zhang, Yin 22 2013 Trust, buy verify: fast and accurate signal recovery from 1-bit compressive measurements. Zbl 1393.94314 Laska, Jason N.; Wen, Zaiwen; Yin, Wotao; Baraniuk, Richard G. 22 2011 Folding-free global conformal mapping for genus-0 surfaces by harmonic energy minimization. Zbl 1298.30007 Lai, Rongjie; Wen, Zaiwen; Yin, Wotao; Gu, Xianfeng; Lui, Lok Ming 21 2014 Coordinate-friendly structures, algorithms and applications. Zbl 1432.65076 Peng, Zhimin; Wu, Tianyu; Xu, Yangyang; Yan, Ming; Yin, Wotao 21 2016 On the convergence of an active-set method for \(\ell_1\) minimization. Zbl 1244.49055 Wen, Zaiwen; Yin, Wotao; Zhang, Hongchao; Goldfarb, Donald 20 2012 Self equivalence of the alternating direction method of multipliers. Zbl 1372.65186 Yan, Ming; Yin, Wotao 20 2016 Image cartoon-texture decomposition and feature selection using the total variation regularized \(L^{1}\) functional. Zbl 1159.68610 Yin, Wotao; Goldfarb, Donald; Osher, Stanley 19 2005 Fast algorithms for image reconstruction with application to partially parallel MR imaging. Zbl 1247.90212 Chen, Yunmei; Hager, William; Huang, Feng; Phan, Dzung; Ye, Xiaojing; Yin, Wotao 18 2012 Parametric maximum flow algorithms for fast total variation minimization. Zbl 1198.49040 Goldfarb, Donald; Yin, Wotao 18 2009 Error forgetting of Bregman iteration. Zbl 1263.65059 Yin, Wotao; Osher, Stanley 18 2013 A curvilinear search method for \(p\)-harmonic flows on spheres. Zbl 1193.49030 Goldfarb, Donald; Wen, Zaiwen; Yin, Wotao 16 2009 On nonconvex decentralized gradient descent. Zbl 1414.90295 Zeng, Jinshan; Yin, Wotao 15 2018 Algorithm for overcoming the curse of dimensionality for time-dependent non-convex Hamilton-Jacobi equations arising from optimal control and differential games problems. Zbl 1381.65048 Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao 14 2017 One condition for solution uniqueness and robustness of both \(\ell_1\)-synthesis and \(\ell_1\)-analysis minimizations. Zbl 1362.65064 Zhang, Hui; Yan, Ming; Yin, Wotao 13 2016 Positive solutions and nonlinear eigenvalue problems for functional-differential equations. Zbl 0934.34056 Henderson, J.; Yin, W. 12 1999 Edge guided reconstruction for compressive imaging. Zbl 1259.65102 Guo, Weihong; Yin, Wotao 12 2012 Algorithm for overcoming the curse of dimensionality for state-dependent Hamilton-Jacobi equations. Zbl 1452.49016 Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao 11 2019 Algorithm for Hamilton-Jacobi equations in density space via a generalized Hopf formula. Zbl 1422.91102 Chow, Yat Tin; Li, Wuchen; Osher, Stanley; Yin, Wotao 11 2019 Multilevel optimal transport: a fast approximation of Wasserstein-1 distances. Zbl 1456.49038 Liu, Jialin; Yin, Wotao; Li, Wuchen; Chow, Yat Tin 9 2021 Decentralized accelerated gradient methods with increasing penalty parameters. Zbl 07591075 Li, Huan; Fang, Cong; Yin, Wotao; Lin, Zhouchen 9 2020 A new use of Douglas-Rachford splitting for identifying infeasible, unbounded, and pathological conic programs. Zbl 1515.47098 Liu, Yanli; Ryu, Ernest K.; Yin, Wotao 9 2019 A fast hybrid algorithm for large-scale \(l_{1}\)-regularized logistic regression. Zbl 1242.62078 Shi, Jianing; Yin, Wotao; Osher, Stanley; Sajda, Paul 8 2010 Sparse recovery via differential inclusions. Zbl 1360.94090 Osher, Stanley; Ruan, Feng; Xiong, Jiechao; Yao, Yuan; Yin, Wotao 8 2016 Douglas-Rachford splitting and ADMM for pathological convex optimization. Zbl 1427.90223 Ryu, Ernest K.; Liu, Yanli; Yin, Wotao 8 2019 A fast patch-dictionary method for whole image recovery. Zbl 1395.94071 Xu, Yangyang; Yin, Wotao 8 2016 Acceleration of primal-dual methods by preconditioning and simple subproblem procedures. Zbl 1464.49018 Liu, Yanli; Xu, Yunbei; Yin, Wotao 8 2021 Solving stochastic compositional optimization is nearly as easy as solving stochastic optimization. Zbl 07591674 Chen, Tianyi; Sun, Yuejiao; Yin, Wotao 8 2021 Algorithm for overcoming the curse of dimensionality for certain non-convex Hamilton-Jacobi equations, projections and differential games. Zbl 1415.35087 Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao 8 2018 Cyclic coordinate-update algorithms for fixed-point problems: analysis and applications. Zbl 1368.90104 Chow, Yat Tin; Wu, Tianyu; Yin, Wotao 7 2017 Copula density estimation by total variation penalized likelihood with linear equality constraints. Zbl 1239.62038 Qu, Leming; Yin, Wotao 6 2012 Consistent dynamic mode decomposition. Zbl 1428.37098 Azencot, Omri; Yin, Wotao; Bertozzi, Andrea 6 2019 Large-scale convex optimization. Algorithms & analyses via monotone operators. Zbl 1519.90178 Ryu, Ernest K.; Yin, Wotao 6 2023 On unbounded delays in asynchronous parallel fixed-point algorithms. Zbl 1415.65138 Hannah, Robert; Yin, Wotao 6 2018 ExtraPush for convex smooth decentralized optimization over directed networks. Zbl 1413.90211 Zeng, Jinshan; Yin, Wotao 6 2017 A dual algorithm for a class of augmented convex signal recovery models. Zbl 1321.65102 Zhang, Hui; Cheng, Lizhi; Yin, Wotao 5 2015 Parallel redistancing using the Hopf-Lax formula. Zbl 1395.65118 Royston, Michael; Pradhana, Andre; Lee, Byungjoon; Chow, Yat Tin; Yin, Wotao; Teran, Joseph; Osher, Stanley 5 2018 NuMax: a convex approach for learning near-isometric linear embeddings. Zbl 1395.94037 Hegde, Chinmay; Sankaranarayanan, Aswin C.; Yin, Wotao; Baraniuk, Richard G. 5 2015 Nonconvex sparse regularization and splitting algorithms. Zbl 1372.65167 Chartrand, Rick; Yin, Wotao 4 2016 Moreau envelope augmented Lagrangian method for nonconvex optimization with linear constraints. Zbl 1494.90091 Zeng, Jinshan; Yin, Wotao; Zhou, Ding-Xuan 4 2022 Decentralized jointly sparse optimization by reweighted \(\ell_q\) minimization. Zbl 1393.94338 Ling, Qing; Wen, Zaiwen; Yin, Wotao 4 2013 On the convergence of asynchronous parallel iteration with unbounded delays. Zbl 1424.65086 Peng, Zhimin; Xu, Yangyang; Yan, Ming; Yin, Wotao 4 2019 Proximal-proximal-gradient method. Zbl 1463.65142 Ryu, Ernest K.; Yin, Wotao 3 2019 Wasserstein-based projections with applications to inverse problems. Zbl 1492.94019 Heaton, Howard; Fung, Samy Wu; Lin, Alex Tong; Osher, Stanley; Yin, Wotao 3 2022 An envelope for Davis-Yin splitting and strict saddle-point avoidance. Zbl 07063787 Liu, Yanli; Yin, Wotao 3 2019 Redundancy techniques for straggler mitigation in distributed optimization and learning. Zbl 1492.90126 Karakus, Can; Sun, Yifan; Diggavi, Suhas; Yin, Wotao 3 2019 First- and second-order methods for online convolutional dictionary learning. Zbl 1401.94019 Liu, Jialin; Garcia-Cardona, Cristina; Wohlberg, Brendt; Yin, Wotao 3 2018 Slope and \(G\)-set characterization of set-valued functions and applications to non-differentiable optimization problems. Zbl 1094.65064 Scherzer, Otmar; Yin, Wotao; Osher, Stanley 2 2005 Feasibility-based fixed point networks. Zbl 07525625 Heaton, Howard; Wu Fung, Samy; Gibali, Aviv; Yin, Wotao 2 2021 From the simplex to the sphere: faster constrained optimization using the Hadamard parametrization. Zbl 07720181 Li, Qiuwei; McKenzie, Daniel; Yin, Wotao 2 2023 Walkman: a communication-efficient random-walk algorithm for decentralized optimization. Zbl 07590909 Mao, Xianghui; Yuan, Kun; Hu, Yubin; Gu, Yuantao; Sayed, Ali H.; Yin, Wotao 2 2020 Tight coefficients of averaged operators via scaled relative graph. Zbl 1441.47084 Huang, Xinmeng; Ryu, Ernest K.; Yin, Wotao 2 2020 Learning circulant sensing kernels. Zbl 1332.94018 Xu, Yangyang; Yin, Wotao; Osher, Stanley 1 2014 Zeroth-order regularized optimization (ZORO): approximately sparse gradients and adaptive sampling. Zbl 1491.90184 Cai, HanQin; McKenzie, Daniel; Yin, Wotao; Zhang, Zhenliang 1 2022 A multiscale semi-smooth Newton method for optimal transport. Zbl 1494.65042 Liu, Yiyang; Wen, Zaiwen; Yin, Wotao 1 2022 A mean field game inverse problem. Zbl 1493.91016 Ding, Lisang; Li, Wuchen; Osher, Stanley; Yin, Wotao 1 2022 Scaled relative graphs: nonexpansive operators via 2D Euclidean geometry. Zbl 07550212 Ryu, Ernest K.; Hannah, Robert; Yin, Wotao 1 2022 Decentralized learning with lazy and approximate dual gradients. Zbl 07591422 Liu, Yanli; Sun, Yuejiao; Yin, Wotao 1 2021 Large-scale convex optimization. Algorithms & analyses via monotone operators. Zbl 1519.90178 Ryu, Ernest K.; Yin, Wotao 6 2023 From the simplex to the sphere: faster constrained optimization using the Hadamard parametrization. Zbl 07720181 Li, Qiuwei; McKenzie, Daniel; Yin, Wotao 2 2023 Moreau envelope augmented Lagrangian method for nonconvex optimization with linear constraints. Zbl 1494.90091 Zeng, Jinshan; Yin, Wotao; Zhou, Ding-Xuan 4 2022 Wasserstein-based projections with applications to inverse problems. Zbl 1492.94019 Heaton, Howard; Fung, Samy Wu; Lin, Alex Tong; Osher, Stanley; Yin, Wotao 3 2022 Zeroth-order regularized optimization (ZORO): approximately sparse gradients and adaptive sampling. Zbl 1491.90184 Cai, HanQin; McKenzie, Daniel; Yin, Wotao; Zhang, Zhenliang 1 2022 A multiscale semi-smooth Newton method for optimal transport. Zbl 1494.65042 Liu, Yiyang; Wen, Zaiwen; Yin, Wotao 1 2022 A mean field game inverse problem. Zbl 1493.91016 Ding, Lisang; Li, Wuchen; Osher, Stanley; Yin, Wotao 1 2022 Scaled relative graphs: nonexpansive operators via 2D Euclidean geometry. Zbl 07550212 Ryu, Ernest K.; Hannah, Robert; Yin, Wotao 1 2022 Multilevel optimal transport: a fast approximation of Wasserstein-1 distances. Zbl 1456.49038 Liu, Jialin; Yin, Wotao; Li, Wuchen; Chow, Yat Tin 9 2021 Acceleration of primal-dual methods by preconditioning and simple subproblem procedures. Zbl 1464.49018 Liu, Yanli; Xu, Yunbei; Yin, Wotao 8 2021 Solving stochastic compositional optimization is nearly as easy as solving stochastic optimization. Zbl 07591674 Chen, Tianyi; Sun, Yuejiao; Yin, Wotao 8 2021 Feasibility-based fixed point networks. Zbl 07525625 Heaton, Howard; Wu Fung, Samy; Gibali, Aviv; Yin, Wotao 2 2021 Decentralized learning with lazy and approximate dual gradients. Zbl 07591422 Liu, Yanli; Sun, Yuejiao; Yin, Wotao 1 2021 Decentralized accelerated gradient methods with increasing penalty parameters. Zbl 07591075 Li, Huan; Fang, Cong; Yin, Wotao; Lin, Zhouchen 9 2020 Walkman: a communication-efficient random-walk algorithm for decentralized optimization. Zbl 07590909 Mao, Xianghui; Yuan, Kun; Hu, Yubin; Gu, Yuantao; Sayed, Ali H.; Yin, Wotao 2 2020 Tight coefficients of averaged operators via scaled relative graph. Zbl 1441.47084 Huang, Xinmeng; Ryu, Ernest K.; Yin, Wotao 2 2020 Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072 Wang, Yu; Yin, Wotao; Zeng, Jinshan 162 2019 Algorithm for overcoming the curse of dimensionality for state-dependent Hamilton-Jacobi equations. Zbl 1452.49016 Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao 11 2019 Algorithm for Hamilton-Jacobi equations in density space via a generalized Hopf formula. Zbl 1422.91102 Chow, Yat Tin; Li, Wuchen; Osher, Stanley; Yin, Wotao 11 2019 A new use of Douglas-Rachford splitting for identifying infeasible, unbounded, and pathological conic programs. Zbl 1515.47098 Liu, Yanli; Ryu, Ernest K.; Yin, Wotao 9 2019 Douglas-Rachford splitting and ADMM for pathological convex optimization. Zbl 1427.90223 Ryu, Ernest K.; Liu, Yanli; Yin, Wotao 8 2019 Consistent dynamic mode decomposition. Zbl 1428.37098 Azencot, Omri; Yin, Wotao; Bertozzi, Andrea 6 2019 On the convergence of asynchronous parallel iteration with unbounded delays. Zbl 1424.65086 Peng, Zhimin; Xu, Yangyang; Yan, Ming; Yin, Wotao 4 2019 Proximal-proximal-gradient method. Zbl 1463.65142 Ryu, Ernest K.; Yin, Wotao 3 2019 An envelope for Davis-Yin splitting and strict saddle-point avoidance. Zbl 07063787 Liu, Yanli; Yin, Wotao 3 2019 Redundancy techniques for straggler mitigation in distributed optimization and learning. Zbl 1492.90126 Karakus, Can; Sun, Yifan; Diggavi, Suhas; Yin, Wotao 3 2019 Cauchy noise removal by nonconvex ADMM with convergence guarantees. Zbl 06858871 Mei, Jin-Jin; Dong, Yiqiu; Huang, Ting-Zhu; Yin, Wotao 31 2018 A parallel method for earth mover’s distance. Zbl 1398.65124 Li, Wuchen; Ryu, Ernest K.; Osher, Stanley; Yin, Wotao; Gangbo, Wilfrid 28 2018 On nonconvex decentralized gradient descent. Zbl 1414.90295 Zeng, Jinshan; Yin, Wotao 15 2018 Algorithm for overcoming the curse of dimensionality for certain non-convex Hamilton-Jacobi equations, projections and differential games. Zbl 1415.35087 Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao 8 2018 On unbounded delays in asynchronous parallel fixed-point algorithms. Zbl 1415.65138 Hannah, Robert; Yin, Wotao 6 2018 Parallel redistancing using the Hopf-Lax formula. Zbl 1395.65118 Royston, Michael; Pradhana, Andre; Lee, Byungjoon; Chow, Yat Tin; Yin, Wotao; Teran, Joseph; Osher, Stanley 5 2018 First- and second-order methods for online convolutional dictionary learning. Zbl 1401.94019 Liu, Jialin; Garcia-Cardona, Cristina; Wohlberg, Brendt; Yin, Wotao 3 2018 A three-operator splitting scheme and its optimization applications. Zbl 1464.47041 Davis, Damek; Yin, Wotao 108 2017 Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121 Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao 80 2017 Faster convergence rates of relaxed Peaceman-Rachford and ADMM under regularity assumptions. Zbl 1379.65035 Davis, Damek; Yin, Wotao 45 2017 A globally convergent algorithm for nonconvex optimization based on block coordinate update. Zbl 1378.65126 Xu, Yangyang; Yin, Wotao 43 2017 Algorithm for overcoming the curse of dimensionality for time-dependent non-convex Hamilton-Jacobi equations arising from optimal control and differential games problems. Zbl 1381.65048 Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao 14 2017 Cyclic coordinate-update algorithms for fixed-point problems: analysis and applications. Zbl 1368.90104 Chow, Yat Tin; Wu, Tianyu; Yin, Wotao 7 2017 ExtraPush for convex smooth decentralized optimization over directed networks. Zbl 1413.90211 Zeng, Jinshan; Yin, Wotao 6 2017 On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036 Deng, Wei; Yin, Wotao 155 2016 Convergence rate analysis of several splitting schemes. Zbl 1372.65168 Davis, Damek; Yin, Wotao 75 2016 Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002 65 2016 On the convergence of decentralized gradient descent. Zbl 1345.90068 Yuan, Kun; Ling, Qing; Yin, Wotao 49 2016 ARock: an algorithmic framework for asynchronous parallel coordinate updates. Zbl 1350.49041 Peng, Zhimin; Xu, Yangyang; Yan, Ming; Yin, Wotao 40 2016 Coordinate-friendly structures, algorithms and applications. Zbl 1432.65076 Peng, Zhimin; Wu, Tianyu; Xu, Yangyang; Yan, Ming; Yin, Wotao 21 2016 Self equivalence of the alternating direction method of multipliers. Zbl 1372.65186 Yan, Ming; Yin, Wotao 20 2016 One condition for solution uniqueness and robustness of both \(\ell_1\)-synthesis and \(\ell_1\)-analysis minimizations. Zbl 1362.65064 Zhang, Hui; Yan, Ming; Yin, Wotao 13 2016 Sparse recovery via differential inclusions. Zbl 1360.94090 Osher, Stanley; Ruan, Feng; Xiong, Jiechao; Yao, Yuan; Yin, Wotao 8 2016 A fast patch-dictionary method for whole image recovery. Zbl 1395.94071 Xu, Yangyang; Yin, Wotao 8 2016 Nonconvex sparse regularization and splitting algorithms. Zbl 1372.65167 Chartrand, Rick; Yin, Wotao 4 2016 EXTRA: an exact first-order algorithm for decentralized consensus optimization. Zbl 1328.90107 Shi, Wei; Ling, Qing; Wu, Gang; Yin, Wotao 127 2015 Parallel matrix factorization for low-rank tensor completion. Zbl 1359.15021 Xu, Yangyang; Hao, Ruru; Yin, Wotao; Su, Zhixun 51 2015 A proximal gradient algorithm for decentralized composite optimization. Zbl 1394.94531 Shi, Wei; Ling, Qing; Wu, Gang; Yin, Wotao 31 2015 Block stochastic gradient iteration for convex and nonconvex optimization. Zbl 1342.93125 Xu, Yangyang; Yin, Wotao 27 2015 Necessary and sufficient conditions of solution uniqueness in 1-norm minimization. Zbl 1308.65102 Zhang, Hui; Yin, Wotao; Cheng, Lizhi 23 2015 A dual algorithm for a class of augmented convex signal recovery models. Zbl 1321.65102 Zhang, Hui; Cheng, Lizhi; Yin, Wotao 5 2015 NuMax: a convex approach for learning near-isometric linear embeddings. Zbl 1395.94037 Hegde, Chinmay; Sankaranarayanan, Aswin C.; Yin, Wotao; Baraniuk, Richard G. 5 2015 On the linear convergence of the ADMM in decentralized consensus optimization. Zbl 1394.94532 Shi, Wei; Ling, Qing; Yuan, Kun; Wu, Gang; Yin, Wotao 71 2014 A new detail-preserving regularization scheme. Zbl 1299.65130 Guo, Weihong; Qin, Jing; Yin, Wotao 43 2014 Folding-free global conformal mapping for genus-0 surfaces by harmonic energy minimization. Zbl 1298.30007 Lai, Rongjie; Wen, Zaiwen; Yin, Wotao; Gu, Xianfeng; Lui, Lok Ming 21 2014 Learning circulant sensing kernels. Zbl 1332.94018 Xu, Yangyang; Yin, Wotao; Osher, Stanley 1 2014 A feasible method for optimization with orthogonality constraints. Zbl 1281.49030 Wen, Zaiwen; Yin, Wotao 174 2013 A block coordinate descent method for regularized multiconvex optimization with applications to nonnegative tensor factorization and completion. Zbl 1280.49042 Xu, Yangyang; Yin, Wotao 167 2013 Improved iteratively reweighted least squares for unconstrained smoothed \(\ell_q\) minimization. Zbl 1268.49038 Lai, Ming-Jun; Xu, Yangyang; Yin, Wotao 138 2013 Augmented \(\ell_1\) and nuclear-norm models with a globally linearly convergent algorithm. Zbl 1279.68329 Lai, Ming-Jun; Yin, Wotao 32 2013 An efficient augmented Lagrangian method with applications to total variation minimization. Zbl 1287.90066 Li, Chengbo; Yin, Wotao; Jiang, Hong; Zhang, Yin 22 2013 Error forgetting of Bregman iteration. Zbl 1263.65059 Yin, Wotao; Osher, Stanley 18 2013 Decentralized jointly sparse optimization by reweighted \(\ell_q\) minimization. Zbl 1393.94338 Ling, Qing; Wen, Zaiwen; Yin, Wotao 4 2013 Solving a low-rank factorization model for matrix completion by a nonlinear successive over-relaxation algorithm. Zbl 1271.65083 Wen, Zaiwen; Yin, Wotao; Zhang, Yin 118 2012 An alternating direction algorithm for matrix completion with nonnegative factors. Zbl 1323.65044 Xu, Yangyang; Yin, Wotao; Wen, Zaiwen; Zhang, Yin 64 2012 On the convergence of an active-set method for \(\ell_1\) minimization. Zbl 1244.49055 Wen, Zaiwen; Yin, Wotao; Zhang, Hongchao; Goldfarb, Donald 20 2012 Fast algorithms for image reconstruction with application to partially parallel MR imaging. Zbl 1247.90212 Chen, Yunmei; Hager, William; Huang, Feng; Phan, Dzung; Ye, Xiaojing; Yin, Wotao 18 2012 Edge guided reconstruction for compressive imaging. Zbl 1259.65102 Guo, Weihong; Yin, Wotao 12 2012 Copula density estimation by total variation penalized likelihood with linear equality constraints. Zbl 1239.62038 Qu, Leming; Yin, Wotao 6 2012 Trust, buy verify: fast and accurate signal recovery from 1-bit compressive measurements. Zbl 1393.94314 Laska, Jason N.; Wen, Zaiwen; Yin, Wotao; Baraniuk, Richard G. 22 2011 Alternating direction augmented Lagrangian methods for semidefinite programming. Zbl 1206.90088 Wen, Zaiwen; Goldfarb, Donald; Yin, Wotao 120 2010 A fast algorithm for sparse reconstruction based on shrinkage, subspace optimization, and continuation. Zbl 1215.49039 Wen, Zaiwen; Yin, Wotao; Goldfarb, Donald; Zhang, Yin 74 2010 Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040 Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao 51 2010 Analysis and generalizations of the linearized Bregman method. Zbl 1211.68491 Yin, Wotao 46 2010 Fixed-point continuation applied to compressed sensing: Implementation and numerical experiments. Zbl 1224.65153 Hale, Elaine T.; Yin, Wotao; Zhang, Yin 32 2010 Sparse signal reconstruction via iterative support detection. Zbl 1206.68340 Wang, Yilun; Yin, Wotao 29 2010 A fast hybrid algorithm for large-scale \(l_{1}\)-regularized logistic regression. Zbl 1242.62078 Shi, Jianing; Yin, Wotao; Osher, Stanley; Sajda, Paul 8 2010 An efficient TVL1 algorithm for deblurring multichannel images corrupted by impulsive noise. Zbl 1195.68110 Yang, Junfeng; Zhang, Yin; Yin, Wotao 79 2009 A fast algorithm for edge-preserving variational multichannel image restoration. Zbl 1181.68304 Yang, Junfeng; Yin, Wotao; Zhang, Yin; Wang, Yilun 57 2009 Parametric maximum flow algorithms for fast total variation minimization. Zbl 1198.49040 Goldfarb, Donald; Yin, Wotao 18 2009 A curvilinear search method for \(p\)-harmonic flows on spheres. Zbl 1193.49030 Goldfarb, Donald; Wen, Zaiwen; Yin, Wotao 16 2009 A new alternating minimization algorithm for total variation image reconstruction. Zbl 1187.68665 Wang, Yilun; Yang, Junfeng; Yin, Wotao; Zhang, Yin 290 2008 Bregman iterative algorithms for \(\ell_1\)-minimization with applications to compressed sensing. Zbl 1203.90153 Yin, Wotao; Osher, Stanley; Goldfarb, Donald; Darbon, Jerome 284 2008 Fixed-point continuation for \(\ell _1\)-minimization: methodology and convergence. Zbl 1180.65076 Hale, Elaine T.; Yin, Wotao; Zhang, Yin 181 2008 The total variation regularized \(L^1\) model for multiscale decomposition. Zbl 1355.49037 Yin, Wotao; Goldfarb, Donald; Osher, Stanley 28 2007 An iterative regularization method for total variation-based image restoration. Zbl 1090.94003 Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao 308 2005 Second-order cone programming methods for total variation-based image restoration. Zbl 1094.68108 Goldfarb, Donald; Yin, Wotao 41 2005 Image cartoon-texture decomposition and feature selection using the total variation regularized \(L^{1}\) functional. Zbl 1159.68610 Yin, Wotao; Goldfarb, Donald; Osher, Stanley 19 2005 Slope and \(G\)-set characterization of set-valued functions and applications to non-differentiable optimization problems. Zbl 1094.65064 Scherzer, Otmar; Yin, Wotao; Osher, Stanley 2 2005 Positive solutions and nonlinear eigenvalue problems for functional-differential equations. Zbl 0934.34056 Henderson, J.; Yin, W. 12 1999 all cited Publications top 5 cited Publications all top 5 Cited by 4,137 Authors 53 Osher, Stanley Joel 48 Yin, Wotao 46 Huang, Ting-Zhu 32 Zhao, Xile 30 Ng, Michael Kwok-Po 30 Wen, Zaiwen 27 Xu, Yangyang 26 Yuan, Xiaoming 25 Han, Deren 25 Ma, Shiqian 23 Tai, Xuecheng 22 Burger, Martin 20 Zeng, Tie Yong 19 Lou, Yifei 17 Steidl, Gabriele 17 Wu, Chunlin 17 Zhang, Xiaoqun 16 Cai, Xingju 16 Cheng, Lizhi 16 Jung, Miyoun 15 Kang, Myungjoo 15 Li, Wuchen 15 Liu, Xin 15 Pan, Shaohua 15 Sun, Defeng 15 Zhang, Hui 15 Zhang, Shuzhong 14 Glowinski, Roland 14 Lv, Xiaoguang 14 Pang, Zhifeng 14 Shen, Lixin 13 Chen, Ke 13 Deng, Liangjian 13 Lai, Rongjie 13 Schönlieb, Carola-Bibiane 13 Shen, Zuowei 13 Tang, Yuchao 13 Toh, Kim Chuan 13 Yang, Yufei 13 Yuan, Ya-xiang 13 Zhu, Wei 12 Chang, Huibin 12 Duan, Yuping 12 Liu, Jun 12 Ma, Tian-Hui 12 Shen, Yuan 12 Wu, Boying 12 Wu, Zhongming 12 Yang, Junfeng 11 Goldfarb, Donald 11 He, Bingsheng 11 Ji, Hui 11 Li, Fang 11 Lu, Zhaosong 11 Lui, Lok Ming 11 Ma, Feng 11 Patrinos, Panagiotis 11 Ryu, Ernest K. 11 Xiao, Yunhai 11 Yan, Ming 10 Bi, Shujun 10 Chen, Wengu 10 Kang, Myeongmin 10 Li, Min 10 Qi, Liqun 10 Tao, Min 10 Tran Dinh Quoc 10 Xin, Jack X. 10 Xiu, Naihua 10 Xu, Yuesheng 10 Zhang, Hongchao 10 Zhang, Xiongjun 9 Boyd, Stephen Poythress 9 Cai, Jian-Feng 9 Chen, Yunmei 9 Cheng, Wanyou 9 Dai, Yu-Hong 9 Darbon, Jerome 9 Dong, Bin 9 Fadili, Jalal M. 9 Jiang, Bo 9 Li, Huaqing 9 Liang, Jingwei 9 Liu, Sanyang 9 So, Anthony Man-Cho 9 Villa, Silvia 9 Wang, Zheng 9 Yashtini, Maryam 8 Bai, Yanqin 8 Chang, Xiaokai 8 Chow, Yat Tin 8 Gelb, Anne 8 Gilboa, Guy 8 Huang, Zheng-Hai 8 Ji, Teng-Yu 8 Jiao, Yuling 8 Lin, Zhouchen 8 Lorenz, Dirk Alfred 8 Lu, Xiliang 8 Möller, Michael ...and 4,037 more Authors all top 5 Cited in 298 Serials 161 Journal of Scientific Computing 123 SIAM Journal on Optimization 106 Computational Optimization and Applications 103 SIAM Journal on Imaging Sciences 68 SIAM Journal on Scientific Computing 67 Journal of Computational and Applied Mathematics 64 Mathematical Programming. Series A. Series B 64 Journal of Mathematical Imaging and Vision 61 Inverse Problems 58 Journal of Optimization Theory and Applications 56 Automatica 54 Inverse Problems and Imaging 49 Journal of Global Optimization 45 Applied Mathematics and Computation 41 Information Sciences 41 Applied and Computational Harmonic Analysis 39 Mathematical Problems in Engineering 39 Optimization Methods & Software 36 Numerical Algorithms 36 Journal of Machine Learning Research (JMLR) 33 Journal of Computational Physics 32 Computers & Mathematics with Applications 30 Computational and Applied Mathematics 29 Journal of the Operations Research Society of China 28 Advances in Computational Mathematics 27 Applied Mathematical Modelling 25 Journal of the Franklin Institute 24 Applied Numerical Mathematics 24 Optimization Letters 23 Mathematics of Computation 22 Optimization 22 Journal of Industrial and Management Optimization 20 Mathematical Programming Computation 19 Science China. Mathematics 16 Neural Networks 16 International Journal of Computer Mathematics 16 Journal of Inequalities and Applications 15 SIAM Journal on Matrix Analysis and Applications 15 Multidimensional Systems and Signal Processing 15 International Journal of Computer Vision 15 Abstract and Applied Analysis 14 Set-Valued and Variational Analysis 13 Numerische Mathematik 13 SIAM Journal on Numerical Analysis 11 Computational Statistics and Data Analysis 11 Journal of Applied Mathematics 11 Inverse Problems in Science and Engineering 11 SIAM Journal on Mathematics of Data Science 10 Mathematics of Operations Research 10 Machine Learning 10 Analysis and Applications (Singapore) 10 Computational & Mathematical Methods in Medicine 9 Linear Algebra and its Applications 9 ETNA. Electronic Transactions on Numerical Analysis 9 Foundations of Computational Mathematics 9 Journal of Applied Mathematics and Computing 9 International Journal of Wavelets, Multiresolution and Information Processing 8 Mathematical Methods in the Applied Sciences 8 SIAM Journal on Control and Optimization 8 Systems & Control Letters 8 Operations Research Letters 8 European Journal of Operational Research 8 Journal of Computational and Graphical Statistics 8 Numerical Algebra, Control and Optimization 8 Journal of Nonlinear and Variational Analysis 7 Journal of Mathematical Analysis and Applications 7 Calcolo 7 Optimal Control Applications & Methods 7 International Journal of Robust and Nonlinear Control 7 Journal of Inverse and Ill-Posed Problems 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 BIT 6 Journal of the American Statistical Association 6 Neural Computation 6 SIAM Journal on Applied Mathematics 6 The Journal of Fourier Analysis and Applications 6 INFORMS Journal on Computing 6 Communications in Computational Physics 5 Computer Methods in Applied Mechanics and Engineering 5 International Journal of Control 5 Applied Mathematics and Optimization 5 Journal of Multivariate Analysis 5 Numerical Functional Analysis and Optimization 5 Circuits, Systems, and Signal Processing 5 Journal of Computational Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Asia-Pacific Journal of Operational Research 5 Pattern Recognition 5 Soft Computing 5 Multiscale Modeling & Simulation 5 Journal of Fixed Point Theory and Applications 5 Frontiers of Mathematics in China 5 Statistics and Computing 5 East Asian Journal on Applied Mathematics 4 Linear and Multilinear Algebra 4 The Annals of Statistics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Operations Research 4 Signal Processing 4 Annals of Operations Research ...and 198 more Serials all top 5 Cited in 49 Fields 1,325 Operations research, mathematical programming (90-XX) 1,254 Numerical analysis (65-XX) 687 Information and communication theory, circuits (94-XX) 526 Computer science (68-XX) 412 Calculus of variations and optimal control; optimization (49-XX) 253 Statistics (62-XX) 181 Linear and multilinear algebra; matrix theory (15-XX) 157 Operator theory (47-XX) 140 Systems theory; control (93-XX) 127 Partial differential equations (35-XX) 107 Biology and other natural sciences (92-XX) 47 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 30 Probability theory and stochastic processes (60-XX) 26 Functional analysis (46-XX) 23 Differential geometry (53-XX) 22 Combinatorics (05-XX) 20 Ordinary differential equations (34-XX) 20 Global analysis, analysis on manifolds (58-XX) 20 Mechanics of deformable solids (74-XX) 19 Real functions (26-XX) 17 Dynamical systems and ergodic theory (37-XX) 17 Approximations and expansions (41-XX) 17 Fluid mechanics (76-XX) 16 Optics, electromagnetic theory (78-XX) 16 Geophysics (86-XX) 9 Quantum theory (81-XX) 8 Convex and discrete geometry (52-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Integral equations (45-XX) 5 General topology (54-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 3 Algebraic geometry (14-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mathematics education (97-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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