{"id":9,"date":"2024-08-14T15:04:46","date_gmt":"2024-08-14T15:04:46","guid":{"rendered":"https:\/\/mitmgmtfaculty.mit.edu\/hlu\/research-publications\/"},"modified":"2024-10-01T13:33:27","modified_gmt":"2024-10-01T13:33:27","slug":"research-publications","status":"publish","type":"page","link":"https:\/\/mitmgmtfaculty.mit.edu\/hlu\/research-publications\/","title":{"rendered":"Research &#038; Publications"},"content":{"rendered":"<div id=\"pl-9\"  class=\"panel-layout\" ><div id=\"pg-9-0\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-9-0-0\"  class=\"panel-grid-cell\" ><div id=\"panel-9-0-0-0\" class=\"so-panel widget widget_mit-pf-wysiwyg widget_mit_pf_wysiwyg panel-first-child\" data-index=\"0\" ><h2 class=\"widget-title\">Google Scholar<\/h2><div class=\"textwidget\"><p>For recent update on publications, please see <a title=\"https:\/\/scholar.google.com\/citations?user=DnRJBwUAAAAJ&amp;hl=en&amp;oi=ao\" href=\"https:\/\/scholar.google.com\/citations?user=DnRJBwUAAAAJ&amp;hl=en&amp;oi=ao\" data-outlook-id=\"f261fc61-9209-4944-a4e4-8958657abb54\">Google Scholar<\/a>.<\/p>\n<\/div><\/div><div id=\"panel-9-0-0-1\" class=\"so-panel widget widget_mit_faculty_research_publications panel-last-child\" data-index=\"1\" ><h3 class=\"widget-title\">Research &#038; Publications<\/h3>\t\t\t<ul class=\"nav nav-tabs nav-tabs--publications\">\n\t\t\t\t<li class=\"publication-type-select\">\n\t\t\t\t\t<span class=\"nav-tab--selected\">Articles<\/span>\n\t\t\t\t\t<i class='fa fa-angle-down'><\/i>\n\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"nav-item nav-tab active\">\n\t\t\t\t\t\t<a href=\"#articles\" class=\"active\" data-toggle=\"tab\">\n\t\t\t\t\t\t\t<div class=\"nav-dropdown-spacer\">Articles<\/div>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"nav-item nav-tab\">\n\t\t\t\t\t\t<a href=\"#working-papers\" class=\"\" data-toggle=\"tab\">\n\t\t\t\t\t\t\t<div class=\"nav-dropdown-spacer\">Working Papers<\/div>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t<\/ul>\n\n\t\t\t<div class=\"tab-content\">\n\t\t\t\t\t\t\t\t\t<ul class=\"tab-pane active\" id=\"articles\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4>\"A New Crossover Algorithm for LP Inspired by the Spiral Dynamic of PDHG.\"<\/h4> Liu, Tianhao and Haihao Lu. <i>INFORMS Journal on Computing<\/i>. Forthcoming. <a target=\"_blank\" href=https:\/\/doi.org\/10.48550\/arXiv.2409.14715>arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1007\/s10107-025-02241-0\">\"A Practical and Optimal First-Order Method for Large-Scale Convex Quadratic Programming.\"<\/a><\/h4> Lu, Haihao and Jinwen Yang. <i>Mathematical Programming<\/i> Vol. 215, (2026): 771-808.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1287\/opre.2023.0603\">\"On the Sparsity of Optimal Linear Decision Rules for a Class of Robust Optimization Problems with Box Uncertainty Sets.\"<\/a><\/h4> Lu, Haihao and Bradley Sturt. <i>Operations Research<\/i> Vol. 74, No. 1 (2026): 500-516.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1287\/opre.2024.1069\">\"cuPDLP. jl: A GPU Implementation of Restarted Primal-Dual Hybrid Gradient for Linear Programming in Julia.\"<\/a><\/h4> Lu, Haihao and Jinwen Yang. <i>Operations Research<\/i> Vol. 73, No. 6 (2025): 3440-3452. <a target=\"_blank\" href=\"https:\/\/doi.org\/10.48550\/arXiv.2311.12180\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1287\/mksc.2023.0640\">\"Optimizing Scalable Targeted Marketing Policies with Constraints.\"<\/a><\/h4> Lu, Haihao, Duncan Simester, and Yuting Zhu. <i>Marketing Science<\/i> Vol. 44, No. 5 (2025): 1082-1103. <a target=\"_blank\" href=\"https:\/\/papers.ssrn.com\/sol3\/papers.cfm?abstract_id=4668582\">SSRN<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1287\/msom.2022.0212\">\"Regularized Online Allocation Problems: Fairness and Beyond.\"<\/a><\/h4> Balseiro, Santiago, Haihao Lu, and Vahab Mirrokni. <i>Manufacturing and Service Operations Management<\/i> Vol. 27, No. 3 (2025): 679-992. <a target=\"_blank\" href=\"https:\/\/pubsonline.informs.org\/doi\/suppl\/10.1287\/msom.2022.0212\">Supplemental Material<\/a>. <a target=\"_blank\" href=\"https:\/\/proceedings.mlr.press\/v139\/balseiro21a.html\">Conference Paper<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1145\/3699824.3699838\">\"Auto-bidding and Auctions in Online Advertising: A Survey.\"<\/a><\/h4> Aggarwal, Gagan, Ashwinkumar Badanidiyuru, Santiago R. Balseiro, et al. <i>ACM SIGecom Exchanges<\/i> Vol. 22, No. 1 (2024): 159-183.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"https:\/\/proceedings.mlr.press\/v235\/balseiro24a.html\">\"A Field Guide for Pacing Budget and ROS Constraints.\"<\/a><\/h4> Balseiro, Santiago R., Kshipra Bhawalkar, Zhe Feng, Haihao Lu, Vahab Mirrokni, Balasubramanian Sivan, and Di Wang. <i>Proceedings of the 41st International Conference on Machine Learning<\/i> Vol. 235, (2024): 2607-2638.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1007\/s10107-024-02109-9\">\"On the Geometry and Refined Rate of Primal-dual Hybrid Gradient for Linear Programming.\"<\/a><\/h4> Lu, Haihao, and Jinwen Yang. <i>Mathematical Programming<\/i> (2024).\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1007\/s10107-023-01957-1\">\"A J-symmetric Quasi-newton Method for Minimax Problems.\"<\/a><\/h4> Asl, Azam, Haihao Lu, and Jinwen Yang. <i>Mathematical Programming<\/i> Vol. 204, No. 1-2 (2024): 207-254.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1137\/22M1510467\">\"Infeasibility Detection with Primal-dual Hybrid Gradient for Large-scale Linear Programming.\"<\/a><\/h4> Applegate, David, Mateo D\u00edaz, Haihao Lu, and Miles Lubin. <i>SIAM Journal on Optimization<\/i> Vol. 34, No. 1 (2024).\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1287\/ijoo.2022.0004\">\"On the Linear Convergence of Extra-gradient Methods for Nonconvex-nonconcave Minimax Problems.\"<\/a><\/h4> Hajizadeh, Saeed, Haihao Lu, and Benjamin Grimmer. <i>INFORMS Journal on Optimization<\/i> Vol. 6, No. 1 (2024): 19-31. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/2201.06167\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"https:\/\/proceedings.neurips.cc\/paper_files\/paper\/2023\/hash\/84bad835faaf48f24d990072bb5b80ee-Abstract-Conference.html\">\"Online Ad Procurement in Non-stationary Autobidding Worlds.\"<\/a><\/h4> Liang, Jason Cheuk Nam, Haihao Lu, and Baoyu Zhou. <i>Proceedings of the 37th Conference on Neural Information Processing Systems<\/i> (2023): 1-24.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1007\/s10107-022-01901-9\">\"Faster First-order Primal-dual Methods for Linear Programming Using Restarts and Sharpness.\"<\/a><\/h4> Applegate, David, Oliver Hinder, Haihao Lu, and Miles Lubin. <i>Mathematical Programming<\/i> Vol. 201, No. 1-2 (2023): 133-184.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1007\/s10107-022-01910-8\">\"The Landscape of the Proximal Point Method for Nonconvex\u2013nonconcave Minimax Optimization.\"<\/a><\/h4> Grimmer, Benjamin, Haihao Lu, Pratik Worah, and Vahab Mirrokni. <i>Mathematical Programming<\/i> Vol. 201, No. 1-2 (2023): 373-407.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1287\/opre.2021.2242\">\"The Best of Many Worlds: Dual Mirror Descent for Online Allocation Problems.\"<\/a><\/h4> Balseiro, Santiago R., Haihao Lu, and Vahab Mirrokni. <i>Operations Research<\/i> Vol. 71, No. 1 (2023): 101-119.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1007\/s10107-021-01669-4\">\"An O(sr)-Resolution ODE Framework for Discrete-time Optimization Algorithms and Applications to the Linear Convergence of Minimax Problems.\"<\/a><\/h4> Lu, Haihao. <i>Mathematical Programming<\/i> Vol. 194, No. 1-2 (2022): 1061-1112.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"https:\/\/proceedings.mlr.press\/v167\/grimmer22a.html\">\"Limiting Behaviors of Nonconvex-nonconcave Minimax Optimization via Continuous-time Systems.\"<\/a><\/h4> Grimmer, Benjamin, Haihao Lu, Pratik Worah, and Vahab Mirrokni. <i>Proceedings of The 33rd International Conference on Algorithmic Learning Theory<\/i> Vol. 167, (2022): 465-487.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1137\/20M1387869\">\"Frank-Wolfe Methods with an Unbounded Feasible Region and Applications to Structured Learning.\"<\/a><\/h4> Wang, Haoyue, Haihao Lu, and Rahul Mazumder. <i>SIAM Journal on Optimization<\/i> Vol. 32, No. 4 (2022): 2938-2968.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"https:\/\/proceedings.neurips.cc\/paper_files\/paper\/2021\/hash\/a8fbbd3b11424ce032ba813493d95ad7-Abstract.html\">\"Practical Large-Scale Linear Programming using Primal-dual Hybrid Gradient.\"<\/a><\/h4> Applegate, David, Mateo Diaz, Oliver Hinder, Haihao Lu, Miles Lubin, Brendan O'Donoghue, and Warren Schudy. <i>Proceedings of the 35th Conference on Neural Information Processing Systems<\/i> (2021): 1-15.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1007\/s10107-020-01480-7\">\"Generalized Stochastic Frank\u2013Wolfe Algorithm with Stochastic 'Substitute' Gradient for Structured Convex Optimization.\"<\/a><\/h4> Lu, Haihao and Robert M. Freund. <i>Mathematical Programming<\/i> Vol. 187, No. 1-2 (2021): 317-349. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/1807.07680\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"https:\/\/proceedings.neurips.cc\/paper_files\/paper\/2020\/hash\/0e1bacf07b14673fcdb553da51b999a5-Abstract.html\">\"Contextual Reserve Price Optimization in Auctions via Mixed Integer Programming.\"<\/a><\/h4> Huchette, Joey, Haihao Lu, Hossein Esfandiari, and Vahab Mirrokni. <i>Proceedings of the 34th Conference on Neural Information Processing Systems<\/i> (2020): 1-11.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"https:\/\/proceedings.mlr.press\/v108\/lu20a.html\">\"Accelerating Gradient Boosting Machines.\"<\/a><\/h4> Lu, Haihao, Sai Praneeth Karimireddy, Natalia Ponomareva, and Vahab Mirrokni. <i>Proceedings of the 23rd International Conference on Artificial Intelligence and Statistics<\/i> Vol. 108, (2020): 516-526.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"https:\/\/proceedings.mlr.press\/v108\/kawaguchi20a.html\">\"Ordered SGD: A New Stochastic Optimization Framework for Empirical Risk Minimization.\"<\/a><\/h4> Kawaguchi, Kenji and Haihao Lu. <i>Proceedings of the 23rd International Conference on Artificial Intelligence and Statistics<\/i> Vol. 108, (2020): 669-679.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"https:\/\/proceedings.mlr.press\/v119\/balseiro20a.html\">\"Dual Mirror Descent for Online Allocation Problems.\"<\/a><\/h4> Balseiro, Santiago, Haihao Lu, and Vahab Mirrokni. <i>Proceedings of the 37th International Conference on Machine Learning<\/i> Vol. 119, (2020): 613-628.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1137\/18M1223277\">\"Randomized Gradient Boosting Machine.\"<\/a><\/h4> Lu, Haihao, and Rahul Mazumder. <i>SIAM Journal on Optimization<\/i> Vol. 30, No. 4 (2020): 2780-2808.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1287\/ijoo.2018.0008\">\"'Relative Continuity' for Non-Lipschitz Nonsmooth Convex Optimization Using Stochastic (or Deterministic) Mirror Descent.\"<\/a><\/h4> Lu, Haihao. <i>INFORMS Journal on Optimization<\/i> Vol. 1, No. 4 (2019): 288-303.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1007\/s10107-017-1164-1\">\"New Computational Guarantees for Solving Convex Optimization Problems with First Order Methods, Via a Function Growth Condition Measure.\"<\/a><\/h4> Freund, Robert M. and Haihao Lu. <i>Mathematical Programming<\/i> Vol. 170, No. 1-2 (2018): 445-477.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"https:\/\/proceedings.mlr.press\/v80\/lu18b.html\">\"Accelerating Greedy Coordinate Descent Methods.\"<\/a><\/h4> Lu, Haihao, Robert M. Freund, and Vahab Mirrokni. <i>Proceedings of the 35th International Conference on Machine Learning<\/i> Vol. 80, (2018): 3257-3266.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"https:\/\/proceedings.mlr.press\/v80\/wang18m.html\">\"Approximate Leave-one-out for Fast Parameter Tuning in High Dimensions.\"<\/a><\/h4> Wang, Shuaiwen, Wenda Zhou, Haihao Lu, Arian Maleki, and Vahab Mirrokni. <i>Proceedings of the 35th International Conference on Machine Learning<\/i> Vol. 80, (2018): 5228-5237.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1137\/16M1099546\">\"Relatively Smooth Convex Optimization by First-order Methods, and Applications.\"<\/a><\/h4> Lu, Haihao, Robert M. Freund, and Yurii Nesterov. <i>SIAM Journal on Optimization<\/i> Vol. 28, No. 1 (2018): 333-354. <a target=\"_blank\" href=\"https:\/\/mitsloan.mit.edu\/shared\/ods\/documents?PublicationDocumentID=9641\">Working Paper<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1088\/1367-2630\/18\/8\/083028\">\"Stochastic Linearization of Turbulent Dynamics of Dispersive Waves in Equilibrium and Non-equilibrium State.\"<\/a><\/h4> Jiang, Shixiao W., Haihao Lu, Douglas Zhou, and David Cai. <i>New Journal of Physics<\/i> Vol. 18, No. 8 (2016): 083028.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.1103\/PhysRevE.90.032925\">\"Renormalized Dispersion Relations of \ud835\udefd-Fermi-Pasta-Ulam Chains in Equilibrium and Nonequilibrium States.\"<\/a><\/h4> Jiang, Shi-xiao W., Haihao Lu, Douglas Zhou, and David Cai. <i>Physical Review E<\/i> Vol. 90, No. 3 (2014): 032925.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t<\/ul><!-- @end .tab-pane -->\n\t\t\t\t\t\t\t\t\t<ul class=\"tab-pane \" id=\"working-papers\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2507.14051\">\"cuPDLPx: A Further Enhanced GPU-Based First-Order Solver for Linear Programming.\"<\/a><\/h4> Lu, Haihao, Zedong Peng, Jinwen Yang, MIT Sloan Working Paper 7317-25. Cambridge, MA: MIT Sloan School of Management, September 2025.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2506.02174\">\"An Overview of GPU-based First-Order Methods for Linear Programming and Extensions.\"<\/a><\/h4> Lu, Haihao and Jinwen Yang, MIT Sloan Working Paper 7318-25. Cambridge, MA: MIT Sloan School of Management, June 2025.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2505.15775\">\"New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming.\"<\/a><\/h4> Ding, Lijun, Haihao Lu, and Jinwen Yang, MIT Sloan Working Paper 7319-25. Cambridge, MA: MIT Sloan School of Management, May 2025.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2501.07018\">\"PDLP: A Practical First-Order Method for Large-Scale Linear Programming.\"<\/a><\/h4> Applegate, David, Mateo D\u00edaz, Oliver Hinder, Haihao Lu, Miles Lubin, Brendan O'Donoghue, and Warren Schudy, MIT Sloan Working Paper 7320-25. Cambridge, MA: MIT Sloan School of Management, January 2025.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2412.09734\">\"MPAX: Mathematical Programming in JAX.\"<\/a><\/h4> Lu, Haihao, Zedong Peng, and Jinwen Yang, Working Paper. December 2024.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2407.19689\">\"PDOT: a Practical Primal-Dual Algorithm and a GPU-Based Solver for Optimal Transport.\"<\/a><\/h4> Lu, Haihao and Jinwen Yang, MIT Sloan Working Paper 7124-24. Cambridge, MA: MIT Sloan School of Management, July 2024. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/2407.19689\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2407.16144\">\"Restarted Halpern PDHG for Linear Programming.\"<\/a><\/h4> Lu, Haihao and Jinwen Yang, MIT Sloan Working Paper 7125-24. Cambridge, MA: MIT Sloan School of Management, July 2024. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/2407.16144\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2111.05530\">\"Nearly Optimal Linear Convergence of Stochastic Primal-Dual Methods for Linear Programming.\"<\/a><\/h4> Lu, Haihao and Jinwen Yang, MIT Sloan Working Paper 7127-21. Cambridge, MA: MIT Sloan School of Management, December 2023. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/2111.05530\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2202.06152\">\"Analysis of Dual-based PID Controllers Through Convolutional Mirror Descent.\"<\/a><\/h4> Balseiro, Santiago R., Haihao Lu, Vahab Mirrokni, and Balasubramanian Sivan, MIT Sloan Working Paper 7110-22. Cambridge, MA: MIT Sloan School of Management, December 2023. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/2202.06152\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2312.05996\">\"Achieving Fairness and Accuracy in Regressive Property Taxation.\"<\/a><\/h4> Candogan, Ozan, Feiyu Han, and Haihao Lu, MIT Sloan Working Paper 7126-23. Cambridge, MA: MIT Sloan School of Management, December 2023. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/2312.05996\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2309.01244\">\"On the Convergence of L-shaped Algorithms for Two-stage Stochastic Programming.\"<\/a><\/h4> Birge, John R., Haihao Lu, and Baoyu Zhou, MIT Sloan Working Paper 7104-23. Cambridge, MA: MIT Sloan School of Management, September 2023. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/2309.01244\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2305.02165\">\"On a Unified and Simplified Proof for the Ergodic Convergence Rates of PPM, PDHG and ADMM.\"<\/a><\/h4> Lu, Haihao and Jinwen Yang, MIT Sloan Working Paper 7106-23. Cambridge, MA: MIT Sloan School of Management, May 2023. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/2305.02165\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2206.12061\">\"On the Infimal Sub-differential Size of Primal-dual Hybrid Gradient Method and Beyond.\"<\/a><\/h4> Lu, Haihao and Jinwen Yang, MIT Sloan Working Paper 7108-22. Cambridge, MA: MIT Sloan School of Management, March 2023. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/2206.12061\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.2007.00514\">\"Regularized Online Allocation Problems: Fairness and Beyond.\"<\/a><\/h4> Balseiro, Santiago R., Haihao Lu, Vahab Mirrokni, MIT Sloan Working Paper 7111-20. Cambridge, MA: MIT Sloan School of Management, November 2021. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/2007.00514\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.1810.02716\">\"Approximate Leave-One-Out for High-Dimensional Non-Differentiable Learning Problems.\"<\/a><\/h4> Wang, Shuaiwen, Wenda Zhou, Arian Maleki, Haihao Lu, and Vahab Mirrokni, MIT Sloan Working Paper 7128-18. Cambridge, MA: MIT Sloan School of Management, October 2018. <a target=\"_blank\" href=\"https:\/\/arxiv.org\/pdf\/1810.02716\">arXiv Preprint<\/a>.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<li class=\"wpb_text_column wpb_content_element\">\n\t\t\t\t\t\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\t\t\t\t\t<h4><a target=\"_blank\" href=\"http:\/\/doi.org\/10.48550\/arXiv.1702.08580\">\"Depth Creates No Bad Local Minima.\"<\/a><\/h4> Lu, Haihao and Kenji Kawaguchi, Working Paper. May 2017.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t<\/ul><!-- @end .tab-pane -->\n\t\t\t\t\t\t\t<\/div><!-- @end .tab-content -->\n\n\t\t<\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>Google ScholarFor recent update on publications, please see Google Scholar. Research &#038; Publications Articles Articles Working Papers &#8220;A New Crossover Algorithm for LP Inspired by the Spiral Dynamic of PDHG.&#8221; Liu, Tianhao and Haihao Lu. INFORMS Journal on Computing. Forthcoming. arXiv Preprint. &#8220;A Practical and Optimal First-Order Method for Large-Scale Convex Quadratic Programming.&#8221; Lu, Haihao [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-two-column.php","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"class_list":["post-9","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.0 (Yoast SEO v25.8) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Research &amp; Publications | Haihao Lu | MIT Sloan School of Management<\/title>\n<meta name=\"description\" content=\"Research from Haihao Lu, Assistant Professor of Operations Research and Statistics at the MIT Sloan School of Management.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mitmgmtfaculty.mit.edu\/hlu\/research-publications\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Research &amp; 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