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Toh, Kim-Chuan

  1. SDPNAL+: A Majorized Semismooth Newton-CG Augmented Lagrangian Method for Semidefinite Programming with Nonnegative Constraints
    2014/06/04 by Yang, Liuqin, Sun, Defeng, Toh, Kim-Chuan · 9 citations
    #65F10 #90C06 #90C22 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
  2. A highly efficient semismooth Newton augmented Lagrangian method for solving Lasso problems
    2016/07/19 by Xudong Li, Li, Xudong, Defeng Sun +3 · 10 citations
    Engineering · Mathematics · #65F10 #90C06 #90C25 #90C31 #FOS: Mathematics #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Statistical Methods and Inference
  3. Convex Clustering: Model, Theoretical Guarantee and Efficient Algorithm
    2018/10/04 by Defeng Sun, Sun, Defeng, Kim-Chuan Toh +3 · 4 citations
    Business, Management and Accounting · Engineering · Medicine · #Bone and Joint Diseases #FOS: Computer and information sciences #FOS: Mathematics #Facility Location and Emergency Management #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
  4. On efficiently solving the subproblems of a level-set method for fused lasso problems
    2017/06/27 by Li, Xudong, Sun, Defeng, Toh, Kim-Chuan · 3 citations
    #90C06 #90C20 #90C22 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
  5. Solving the OSCAR and SLOPE Models Using a Semismooth Newton-Based Augmented Lagrangian Method
    2018/03/28 by Ziyan Luo, Luo, Ziyan, Defeng Sun +6 · 4 citations
    Engineering · Mathematics · #Sparse and Compressive Sensing Techniques #Statistical Methods and Inference #Control Systems and Identification
  6. Dissolving Constraints for Riemannian Optimization
    2022/03/19 by Nachuan Xiao, Xin Liu, Xiao, Nachuan +3 · 5 citations
    Biochemistry, Genetics and Molecular Biology · Mathematics · #Bone Metabolism and Diseases #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Optimization and Control (math.OC)
  7. A Convergent 3-Block Semi-Proximal Alternating Direction Method of Multipliers for Conic Programming with 4-Type of Constraints
    2014/04/22 by Sun, Defeng, Toh, Kim-Chuan, Yang, Liuqin · 2 citations
    #65F10 #90C06 #90C22 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
  8. A Majorized ADMM with Indefinite Proximal Terms for Linearly Constrained Convex Composite Optimization
    2014/12/05 by Li, Min, Sun, Defeng, Toh, Kim-Chuan · 2 citations
    #FOS: Mathematics #Optimization and Control (math.OC)
  9. Doubly nonnegative relaxations are equivalent to completely positive reformulations of quadratic optimization problems with block-clique graph structures
    2019/03/18 by Sunyoung Kim, Masakazu Kojima, Kim, Sunyoung +3 · 2 citations
    Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Complexity and Algorithms in Graphs #FOS: Mathematics #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
  10. QSDPNAL: A two-phase augmented Lagrangian method for convex quadratic semidefinite programming
    2015/12/30 by Li, Xudong, Sun, Defeng, Toh, Kim-Chuan · 2 citations
    #65F10 #90C06 #90C20 #90C22 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
  11. A feasible method for general convex low-rank SDP problems
    2023/12/13 by Tianyun Tang, Kim-Chuan Toh, Tang, Tianyun +1 · 6 citations
    Computer Science · Engineering · Mathematics · #90C06 #90C22 #90C30 #Advanced Image and Video Retrieval Techniques #Advanced Optimization Algorithms Research #FOS: Mathematics #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
  12. QPPAL: A two-phase proximal augmented Lagrangian method for high dimensional convex quadratic programming problems
    2021/03/24 by Ling Liang, Liang, Ling, Xudong Li +5 · 3 citations
    Mathematics · Computer Science · Engineering · #Advanced Optimization Algorithms Research #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
  13. An asymptotically superlinearly convergent semismooth Newton augmented Lagrangian method for Linear Programming
    2019/03/22 by Li, Xudong, Sun, Defeng, Toh, Kim-Chuan · 2 citations
    #65F10 #90C05 #90C06 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
  14. On the R-superlinear convergence of the KKT residues generated by the augmented Lagrangian method for convex composite conic programming
    2017/06/27 by Cui, Ying, Sun, Defeng, Toh, Kim-Chuan · 2 citations
    #FOS: Mathematics #Optimization and Control (math.OC)
  15. An Improved Unconstrained Approach for Bilevel Optimization
    2022/08/01 by Hu, Xiaoyin, Xiao, Nachuan, Liu, Xin +1 · 2 citations
    #15A18 #65F15 #65K05 #90C06 #FOS: Mathematics #Optimization and Control (math.OC)
  16. Spectral Operators of Matrices
    2014/01/10 by Ding, Chao, Sun, Defeng, Sun, Jie +1 · 1 citation
    #49J50 #49J52 #65K05 #90C06 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
  17. Inexact Bregman Proximal Gradient Method and its Inertial Variant with Absolute and Partial Relative Stopping Criteria
    2021/09/13 by Lei Yang, Yang, Lei, Kim-Chuan Toh +1 · 2 citations
    Computer Science · Engineering · Mathematics · #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
  18. Nonconvex Stochastic Bregman Proximal Gradient Method with Application to Deep Learning
    2023/06/26 by Kuangyu Ding, Ding, Kuangyu, Jingyang Li +3 · 2 citations
    Computer Science · Engineering · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning and ELM #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
  19. Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity
    2016/07/05 by Tillmann Weißer, Jean B. Lasserre, Weisser, Tillmann +3 · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Control Systems Optimization #Advanced Optimization Algorithms Research #Complexity and Algorithms in Graphs #FOS: Mathematics #Optimization and Control (math.OC)
  20. Max-Norm Optimization for Robust Matrix Recovery
    2016/09/24 by Fang, Ethan X., Liu, Han, Toh, Kim-Chuan +1 · 1 citation
    #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Optimization and Control (math.OC)
  21. A low-rank augmented Lagrangian method for doubly nonnegative relaxations of mixed-binary quadratic programs
    2025/02/19 by Di Hou, Hou, Di, Tianyun Tang +3 · 6 citations
    Computer Science · Mathematics · #90C20 #90C22 #90C30 #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Optimization and Variational Analysis
  22. A New Homotopy Proximal Variable-Metric Framework for Composite Convex Minimization
    2018/12/13 by Tran-Dinh, Quoc, Ling, Liang, Toh, Kim-Chuan · 1 citation
    #90-08 #90C06 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
  23. A sparse semismooth Newton based proximal majorization-minimization algorithm for nonconvex square-root-loss regression problems
    2019/03/27 by Peipei Tang, Tang, Peipei, Chengjing Wang +5 · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Face and Expression Recognition #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
  24. On Partial Optimal Transport: Revising the Infeasibility of Sinkhorn and Efficient Gradient Methods
    2023/12/21 by Nguyen, Anh Duc, Nguyen, Tuan Dung, Nguyen, Quang Minh +3 · 2 citations
    #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC)
  25. Stochastic Bregman Subgradient Methods for Nonsmooth Nonconvex Optimization Problems
    2024/04/26 by Kuangyu Ding, Kim-Chuan Toh, Ding, Kuangyu +1 · 2 citations
    Computer Science · #Optimization and Variational Analysis #Stochastic Gradient Optimization Techniques
  26. An Inexact Augmented Lagrangian Method for Second-order Cone Programming with Applications
    2020/10/17 by Ling Liang, Defeng Sun, Liang, Ling +3 · 2 citations
    Computer Science · Engineering · Mathematics · #90C06 #90C22 #90C25 #Advanced Optimization Algorithms Research #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
  27. An augmented Lagrangian method with constraint generation for shape-constrained convex regression problems
    2020/12/09 by Lin, Meixia, Sun, Defeng, Toh, Kim-Chuan · 1 citation
    #FOS: Mathematics #Optimization and Control (math.OC)
  28. An Inexact Projected Gradient Method with Rounding and Lifting by Nonlinear Programming for Solving Rank-One Semidefinite Relaxation of Polynomial Optimization
    2021/05/28 by Heng Yang, Yang, Heng, Ling Liang +5 · 1 citation
    Computer Science · Engineering · Mathematics · #90C06 #90C22 #90C23 #90C55 #Advanced Optimization Algorithms Research #Advanced Vision and Imaging #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
  29. Bregman Proximal Point Algorithm Revisited: A New Inexact Version and its Inertial Variant
    2021/05/21 by Lei Yang, Kim-Chuan Toh, Yang, Lei +1 · 1 citation
    Engineering · Mathematics · Computer Science · #Sparse and Compressive Sensing Techniques #Point processes and geometric inequalities #Stochastic Gradient Optimization Techniques
  30. A Dimension Reduction Technique for Large-scale Structured Sparse Optimization Problems with Application to Convex Clustering
    2021/08/17 by Yancheng Yuan, Tsung‐Hui Chang, Yuan, Yancheng +5 · 1 citation
    Computer Science · Engineering · #90C06 #90C25 #90C90 #FOS: Mathematics #Machine Learning and ELM #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
  31. Wasserstein distributionally robust optimization and its tractable regularization formulations
    2024/02/06 by Hong T. M. Chu, Meixia Lin, Chu, Hong T. M. +3 · 2 citations
    Decision Sciences · #FOS: Mathematics #Optimization and Control (math.OC) #Probabilistic and Robust Engineering Design
  32. A Constraint Dissolving Approach for Nonsmooth Optimization over the Stiefel Manifold
    2022/05/21 by Hu, Xiaoyin, Xiao, Nachuan, Liu, Xin +1 · 2 citations
    #FOS: Mathematics #Optimization and Control (math.OC)
  33. A Fast Globally Linearly Convergent Algorithm for the Computation of\n Wasserstein Barycenters
    2018/09/12 by Jia Li, Yang, Lei, Defeng Sun +5 · 1 citation
    Computer Science · Engineering · #Advanced Image Processing Techniques #FOS: Computer and information sciences #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Image and Signal Denoising Methods #Machine Learning (stat.ML) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
  34. Towards Understanding Why FixMatch Generalizes Better Than Supervised Learning
    2024/10/15 by Li, Jingyang, Pan, Jiachun, Tan, Vincent Y. F. +2 · 2 citations
    #FOS: Computer and information sciences #Machine Learning (cs.LG)
  35. Best Nonnegative Rank-One Approximations of Tensors
    2018/10/31 by Hu, Shenglong, Sun, Defeng, Toh, Kim-Chuan · 1 citation
    #15A18 #15A42 #15A69 #90C22 #FOS: Mathematics #Optimization and Control (math.OC)
  36. A feasible method for solving an SDP relaxation of the quadratic knapsack problem
    2023/03/12 by Tang, Tianyun, Toh, Kim-Chuan · 2 citations
    #90C06 #90C10 #90C22 #FOS: Mathematics #Optimization and Control (math.OC)
  37. A Riemannian Dimension-reduced Second Order Method with Application in Sensor Network Localization
    2023/04/20 by Tang, Tianyun, Toh, Kim-Chuan, Xiao, Nachuan +1 · 1 citation
    #FOS: Mathematics #Optimization and Control (math.OC)
  38. Adam-family Methods for Nonsmooth Optimization with Convergence Guarantees
    2023/05/06 by Xiao, Nachuan, Hu, Xiaoyin, Liu, Xin +1 · 1 citation
    #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC)
  39. Stochastic Subgradient Methods with Guaranteed Global Stability in Nonsmooth Nonconvex Optimization
    2023/07/19 by Xiao, Nachuan, Hu, Xiaoyin, Toh, Kim-Chuan · 1 citation
    #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC)
  40. Adam-family Methods with Decoupled Weight Decay in Deep Learning
    2023/10/13 by Ding, Kuangyu, Xiao, Nachuan, Toh, Kim-Chuan · 1 citation
    #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC)
  41. An Inexact Bregman Proximal Difference-of-Convex Algorithm with Two Types of Relative Stopping Criteria
    2024/06/07 by Lei Yang, Yang, Lei, Jingjing Hu +3 · 2 citations
    Computer Science · Engineering · #Distributed Control Multi-Agent Systems #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
  42. LoCo: Low-Bit Communication Adaptor for Large-scale Model Training
    2024/07/05 by Xingyu Xie, Zhijie Lin, Xie, Xingyu +5 · 1 citation
    Computer Science · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC) #Parallel Computing and Optimization Techniques
  43. Optimization Hyper-parameter Laws for Large Language Models
    2024/09/07 by Xie, Xingyu, Kuangyu Ding, Shuicheng Yan +5 · 1 citation
    Computer Science · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Natural Language Processing Techniques #Optimization and Control (math.OC) #Topic Modeling
  44. CDOpt: A Python Package for a Class of Riemannian Optimization
    2022/12/06 by Xiao, Nachuan, Hu, Xiaoyin, Liu, Xin +1 · 2 citations
    #FOS: Computer and information sciences #FOS: Mathematics #Mathematical Software (cs.MS) #Optimization and Control (math.OC)
  45. An Exact Penalty Approach for Equality Constrained Optimization over a Convex Set
    2025/05/05 by Xiao, Nachuan, Tang, Tianyun, Wang, Shiwei +1 · 3 citations
    #FOS: Mathematics #Optimization and Control (math.OC)
  46. RiNNAL+: a Riemannian ALM Solver for SDP-RLT Relaxations of Mixed-Binary Quadratic Programs
    2025/07/18 by Hou, Di, Tang, Tianyun, Toh, Kim-Chuan · 2 citations
    #FOS: Mathematics #Optimization and Control (math.OC)