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Efficiency of coordinate descent methods on huge-scale optimization problems

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Cited by:

  1. Quoc Tran-Dinh, 2019. "Proximal alternating penalty algorithms for nonsmooth constrained convex optimization," Computational Optimization and Applications, Springer, vol. 72(1), pages 1-43, January.
  2. Sarah Perrin & Thierry Roncalli, 2019. "Machine Learning Optimization Algorithms & Portfolio Allocation," Papers 1909.10233, arXiv.org.
  3. Sjur Didrik Flåm, 2024. "Via Order Markets Towards Price-Taking Equilibrium," Journal of Optimization Theory and Applications, Springer, vol. 201(3), pages 977-994, June.
  4. Ion Necoara & Yurii Nesterov & François Glineur, 2017. "Random Block Coordinate Descent Methods for Linearly Constrained Optimization over Networks," Journal of Optimization Theory and Applications, Springer, vol. 173(1), pages 227-254, April.
  5. Reza Eghbali & Maryam Fazel, 2017. "Decomposable norm minimization with proximal-gradient homotopy algorithm," Computational Optimization and Applications, Springer, vol. 66(2), pages 345-381, March.
  6. Malka N. Halgamuge & Eshan Daminda & Ampalavanapillai Nirmalathas, 2020. "Best optimizer selection for predicting bushfire occurrences using deep learning," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 103(1), pages 845-860, August.
  7. Ron Shefi & Marc Teboulle, 2016. "On the rate of convergence of the proximal alternating linearized minimization algorithm for convex problems," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 4(1), pages 27-46, February.
  8. Edit Csizmás & Rajmund Drenyovszki & Tamás Szántai & Csaba I. Fábián, 2025. "Random Descent Steps in a Probability Maximization Scheme," Journal of Optimization Theory and Applications, Springer, vol. 205(1), pages 1-26, April.
  9. Jinlong Lei & Uday V. Shanbhag, 2020. "Asynchronous Schemes for Stochastic and Misspecified Potential Games and Nonconvex Optimization," Operations Research, INFORMS, vol. 68(6), pages 1742-1766, November.
  10. Lee, Dongkyu & Song, Junho, 2023. "Risk-informed operation and maintenance of complex lifeline systems using parallelized multi-agent deep Q-network," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
  11. Adrien B. Taylor & Julien M. Hendrickx & François Glineur, 2018. "Exact Worst-Case Convergence Rates of the Proximal Gradient Method for Composite Convex Minimization," Journal of Optimization Theory and Applications, Springer, vol. 178(2), pages 455-476, August.
  12. Majid Jahani & Naga Venkata C. Gudapati & Chenxin Ma & Rachael Tappenden & Martin Takáč, 2021. "Fast and safe: accelerated gradient methods with optimality certificates and underestimate sequences," Computational Optimization and Applications, Springer, vol. 79(2), pages 369-404, June.
  13. Lebeau, Alexis & Petitet, Marie & Quemin, Simon & Saguan, Marcelo, 2024. "Long-term issues with the Energy-Only Market design in the context of deep decarbonization," Energy Economics, Elsevier, vol. 132(C).
  14. Aviad Aberdam & Amir Beck, 2022. "An Accelerated Coordinate Gradient Descent Algorithm for Non-separable Composite Optimization," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 219-246, June.
  15. Abbaszadehpeivasti, Hadi & de Klerk, Etienne & Zamani, Moslem, 2023. "Convergence rate analysis of randomized and cyclic coordinate descent for convex optimization through semidefinite programming," Other publications TiSEM 88512ac0-c26a-4a99-b840-3, Tilburg University, School of Economics and Management.
  16. Anastasiya Ivanova & Pavel Dvurechensky & Evgeniya Vorontsova & Dmitry Pasechnyuk & Alexander Gasnikov & Darina Dvinskikh & Alexander Tyurin, 2022. "Oracle Complexity Separation in Convex Optimization," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 462-490, June.
  17. Aleksandr Lobanov & Nail Bashirov & Alexander Gasnikov, 2024. "The “Black-Box” Optimization Problem: Zero-Order Accelerated Stochastic Method via Kernel Approximation," Journal of Optimization Theory and Applications, Springer, vol. 203(3), pages 2451-2486, December.
  18. Sjur Didrik Flåm, 2020. "Emergence of price-taking Behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 847-870, October.
  19. R. Lopes & S. A. Santos & P. J. S. Silva, 2019. "Accelerating block coordinate descent methods with identification strategies," Computational Optimization and Applications, Springer, vol. 72(3), pages 609-640, April.
  20. Ruoyu Sun & Zhi-Quan Luo & Yinyu Ye, 2020. "On the Efficiency of Random Permutation for ADMM and Coordinate Descent," Mathematics of Operations Research, INFORMS, vol. 45(1), pages 233-271, February.
  21. Yangyang Xu, 2019. "Asynchronous parallel primal–dual block coordinate update methods for affinely constrained convex programs," Computational Optimization and Applications, Springer, vol. 72(1), pages 87-113, January.
  22. Stephan Eckstein & Michael Kupper & Mathias Pohl, 2020. "Robust risk aggregation with neural networks," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1229-1272, October.
  23. Jin Zhang & Xide Zhu, 2022. "Linear Convergence of Prox-SVRG Method for Separable Non-smooth Convex Optimization Problems under Bounded Metric Subregularity," Journal of Optimization Theory and Applications, Springer, vol. 192(2), pages 564-597, February.
  24. TAYLOR, Adrien B. & HENDRICKX, Julien M. & François GLINEUR, 2016. "Exact worst-case performance of first-order methods for composite convex optimization," LIDAM Discussion Papers CORE 2016052, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  25. Leandro Farias Maia & David Huckleberry Gutman & Ryan Christopher Hughes, 2024. "The Inexact Cyclic Block Proximal Gradient Method and Properties of Inexact Proximal Maps," Journal of Optimization Theory and Applications, Springer, vol. 201(2), pages 668-698, May.
  26. Flavia Chorobura & Ion Necoara, 2024. "Coordinate descent methods beyond smoothness and separability," Computational Optimization and Applications, Springer, vol. 88(1), pages 107-149, May.
  27. Masoud Ahookhosh & Le Thi Khanh Hien & Nicolas Gillis & Panagiotis Patrinos, 2021. "Multi-block Bregman proximal alternating linearized minimization and its application to orthogonal nonnegative matrix factorization," Computational Optimization and Applications, Springer, vol. 79(3), pages 681-715, July.
  28. Ion Necoara & Andrei Patrascu, 2014. "A random coordinate descent algorithm for optimization problems with composite objective function and linear coupled constraints," Computational Optimization and Applications, Springer, vol. 57(2), pages 307-337, March.
  29. Jinlong Lei & Uday V. Shanbhag & Jong-Shi Pang & Suvrajeet Sen, 2020. "On Synchronous, Asynchronous, and Randomized Best-Response Schemes for Stochastic Nash Games," Mathematics of Operations Research, INFORMS, vol. 45(1), pages 157-190, February.
  30. Guillaume Olikier & André Uschmajew & Bart Vandereycken, 2025. "Gauss–Southwell Type Descent Methods for Low-Rank Matrix Optimization," Journal of Optimization Theory and Applications, Springer, vol. 206(1), pages 1-32, July.
  31. Filip Hanzely & Peter Richtárik, 2021. "Fastest rates for stochastic mirror descent methods," Computational Optimization and Applications, Springer, vol. 79(3), pages 717-766, July.
  32. Mingyi Hong & Tsung-Hui Chang & Xiangfeng Wang & Meisam Razaviyayn & Shiqian Ma & Zhi-Quan Luo, 2020. "A Block Successive Upper-Bound Minimization Method of Multipliers for Linearly Constrained Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 45(3), pages 833-861, August.
  33. Nicolas Loizou & Peter Richtárik, 2020. "Momentum and stochastic momentum for stochastic gradient, Newton, proximal point and subspace descent methods," Computational Optimization and Applications, Springer, vol. 77(3), pages 653-710, December.
  34. Hu, Chaoming & Wan, Zhao Man & Zhu, Saihua & Wan, Zhong, 2022. "An integrated stochastic model and algorithm for constrained multi-item newsvendor problems by two-stage decision-making approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 280-300.
  35. Olivier Fercoq & Zheng Qu, 2020. "Restarting the accelerated coordinate descent method with a rough strong convexity estimate," Computational Optimization and Applications, Springer, vol. 75(1), pages 63-91, January.
  36. Dvurechensky, Pavel & Gorbunov, Eduard & Gasnikov, Alexander, 2021. "An accelerated directional derivative method for smooth stochastic convex optimization," European Journal of Operational Research, Elsevier, vol. 290(2), pages 601-621.
  37. ARAVENA, Ignacio & PAPAVASILIOU, Anthony, 2016. "An Asynchronous Distributed Algorithm for solving Stochastic Unit Commitment," LIDAM Discussion Papers CORE 2016038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  38. Yen, Yu-Min & Yen, Tso-Jung, 2014. "Solving norm constrained portfolio optimization via coordinate-wise descent algorithms," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 737-759.
  39. Tao Sun & Yuejiao Sun & Yangyang Xu & Wotao Yin, 2020. "Markov chain block coordinate descent," Computational Optimization and Applications, Springer, vol. 75(1), pages 35-61, January.
  40. A. Ghaffari-Hadigheh & L. Sinjorgo & R. Sotirov, 2024. "On convergence of a q-random coordinate constrained algorithm for non-convex problems," Journal of Global Optimization, Springer, vol. 90(4), pages 843-868, December.
  41. Abbaszadehpeivasti, Hadi, 2024. "Performance analysis of optimization methods for machine learning," Other publications TiSEM 3050a62d-1a1f-494e-99ef-7, Tilburg University, School of Economics and Management.
  42. Khan, Mohd Shariq & I.A. Karimi, & Bahadori, Alireza & Lee, Moonyong, 2015. "Sequential coordinate random search for optimal operation of LNG (liquefied natural gas) plant," Energy, Elsevier, vol. 89(C), pages 757-767.
  43. Elson Tomás & Susana Vinga & Alexandra M. Carvalho, 2017. "Unsupervised learning of pharmacokinetic responses," Computational Statistics, Springer, vol. 32(2), pages 409-428, June.
  44. Varron, Davit, 2016. "Empirical likelihood confidence tubes for functional parameters in plug-in estimation," Journal of Multivariate Analysis, Elsevier, vol. 152(C), pages 100-118.
  45. Fu, Sheng & Zhang, Sanguo & Liu, Yufeng, 2018. "Adaptively weighted large-margin angle-based classifiers," Journal of Multivariate Analysis, Elsevier, vol. 166(C), pages 282-299.
  46. Du, Kui, 2024. "Regularized randomized iterative algorithms for factorized linear systems," Applied Mathematics and Computation, Elsevier, vol. 466(C).
  47. Rachael Tappenden & Peter Richtárik & Jacek Gondzio, 2016. "Inexact Coordinate Descent: Complexity and Preconditioning," Journal of Optimization Theory and Applications, Springer, vol. 170(1), pages 144-176, July.
  48. Andrei Patrascu & Ion Necoara, 2015. "Efficient random coordinate descent algorithms for large-scale structured nonconvex optimization," Journal of Global Optimization, Springer, vol. 61(1), pages 19-46, January.
  49. Qin Wang & Weiguo Li & Wendi Bao & Feiyu Zhang, 2022. "Accelerated Randomized Coordinate Descent for Solving Linear Systems," Mathematics, MDPI, vol. 10(22), pages 1-20, November.
  50. Andrea Cristofari, 2019. "An almost cyclic 2-coordinate descent method for singly linearly constrained problems," Computational Optimization and Applications, Springer, vol. 73(2), pages 411-452, June.
  51. Immanuel Bomze & Francesco Rinaldi & Damiano Zeffiro, 2025. "Projection free methods on product domains," Computational Optimization and Applications, Springer, vol. 91(2), pages 511-540, June.
  52. Kimon Fountoulakis & Rachael Tappenden, 2018. "A flexible coordinate descent method," Computational Optimization and Applications, Springer, vol. 70(2), pages 351-394, June.
  53. Isaac M. Ross, 2023. "Derivation of Coordinate Descent Algorithms from Optimal Control Theory," SN Operations Research Forum, Springer, vol. 4(2), pages 1-11, June.
  54. Mareček, Jakub & Richtárik, Peter & Takáč, Martin, 2017. "Matrix completion under interval uncertainty," European Journal of Operational Research, Elsevier, vol. 256(1), pages 35-43.
  55. V. S. Amaral & R. Andreani & E. G. Birgin & D. S. Marcondes & J. M. Martínez, 2022. "On complexity and convergence of high-order coordinate descent algorithms for smooth nonconvex box-constrained minimization," Journal of Global Optimization, Springer, vol. 84(3), pages 527-561, November.
  56. Martin Morin & Pontus Giselsson, 2025. "Sampling and Update Frequencies in Proximal Variance-Reduced Stochastic Gradient Methods," Journal of Optimization Theory and Applications, Springer, vol. 205(3), pages 1-23, June.
  57. Chenxi Chen & Yunmei Chen & Yuyuan Ouyang & Eduardo Pasiliao, 2018. "Stochastic Accelerated Alternating Direction Method of Multipliers with Importance Sampling," Journal of Optimization Theory and Applications, Springer, vol. 179(2), pages 676-695, November.
  58. Sjur Didrik Flåm, 2019. "Blocks of coordinates, stochastic programming, and markets," Computational Management Science, Springer, vol. 16(1), pages 3-16, February.
  59. Yangyang Xu & Shuzhong Zhang, 2018. "Accelerated primal–dual proximal block coordinate updating methods for constrained convex optimization," Computational Optimization and Applications, Springer, vol. 70(1), pages 91-128, May.
  60. Zhigang Li & Mingchuan Zhang & Junlong Zhu & Ruijuan Zheng & Qikun Zhang & Qingtao Wu, 2018. "Stochastic Block-Coordinate Gradient Projection Algorithms for Submodular Maximization," Complexity, Hindawi, vol. 2018, pages 1-11, December.
  61. Laura Palagi & Ruggiero Seccia, 2020. "Block layer decomposition schemes for training deep neural networks," Journal of Global Optimization, Springer, vol. 77(1), pages 97-124, May.
  62. Md Sarowar Morshed & Md Saiful Islam & Md. Noor-E-Alam, 2020. "Accelerated sampling Kaczmarz Motzkin algorithm for the linear feasibility problem," Journal of Global Optimization, Springer, vol. 77(2), pages 361-382, June.
  63. Andrej Čopar & Blaž Zupan & Marinka Zitnik, 2019. "Fast optimization of non-negative matrix tri-factorization," PLOS ONE, Public Library of Science, vol. 14(6), pages 1-15, June.
  64. Veprikov, Andrey & Bogdanov, Alexander & Minashkin, Vladislav & Beznosikov, Aleksandr, 2024. "New aspects of black box conditional gradient: Variance reduction and one point feedback," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
  65. Xuefei Lu & Alessandro Rudi & Emanuele Borgonovo & Lorenzo Rosasco, 2020. "Faster Kriging: Facing High-Dimensional Simulators," Operations Research, INFORMS, vol. 68(1), pages 233-249, January.
  66. Cassioli, A. & Di Lorenzo, D. & Sciandrone, M., 2013. "On the convergence of inexact block coordinate descent methods for constrained optimization," European Journal of Operational Research, Elsevier, vol. 231(2), pages 274-281.
  67. Jean-Charles Richard & Thierry Roncalli, 2019. "Constrained Risk Budgeting Portfolios: Theory, Algorithms, Applications & Puzzles," Papers 1902.05710, arXiv.org.
  68. David Kozak & Stephen Becker & Alireza Doostan & Luis Tenorio, 2021. "A stochastic subspace approach to gradient-free optimization in high dimensions," Computational Optimization and Applications, Springer, vol. 79(2), pages 339-368, June.
  69. David Degras, 2021. "Sparse group fused lasso for model segmentation: a hybrid approach," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 15(3), pages 625-671, September.
  70. Masoud Ahookhosh & Le Thi Khanh Hien & Nicolas Gillis & Panagiotis Patrinos, 2021. "A Block Inertial Bregman Proximal Algorithm for Nonsmooth Nonconvex Problems with Application to Symmetric Nonnegative Matrix Tri-Factorization," Journal of Optimization Theory and Applications, Springer, vol. 190(1), pages 234-258, July.
  71. Ching-pei Lee & Stephen J. Wright, 2020. "Inexact Variable Metric Stochastic Block-Coordinate Descent for Regularized Optimization," Journal of Optimization Theory and Applications, Springer, vol. 185(1), pages 151-187, April.
  72. Duy Khuong Nguyen & Tu Bao Ho, 2017. "Accelerated parallel and distributed algorithm using limited internal memory for nonnegative matrix factorization," Journal of Global Optimization, Springer, vol. 68(2), pages 307-328, June.
  73. Aharon Ben-Tal & Arkadi Nemirovski, 2015. "On Solving Large-Scale Polynomial Convex Problems by Randomized First-Order Algorithms," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 474-494, February.
  74. Ahmed Khaled & Othmane Sebbouh & Nicolas Loizou & Robert M. Gower & Peter Richtárik, 2023. "Unified Analysis of Stochastic Gradient Methods for Composite Convex and Smooth Optimization," Journal of Optimization Theory and Applications, Springer, vol. 199(2), pages 499-540, November.
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