{"id":671,"date":"2021-01-30T20:24:20","date_gmt":"2021-01-30T20:24:20","guid":{"rendered":"https:\/\/elo-x.eu\/?p=671"},"modified":"2025-06-23T21:18:26","modified_gmt":"2025-06-23T21:18:26","slug":"renzi-wang","status":"publish","type":"post","link":"https:\/\/elo-x.eu\/?p=671","title":{"rendered":"Renzi Wang"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"671\" class=\"elementor elementor-671\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-11ad091 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"11ad091\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4645320\" data-id=\"4645320\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9a05e75 elementor-widget elementor-widget-page-title\" data-id=\"9a05e75\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"page-title.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\n\t\t<div class=\"hfe-page-title hfe-page-title-wrapper elementor-widget-heading\">\n\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/www.google.com\/url?sa=t&#038;source=web&#038;rct=j&#038;opi=89978449&#038;url=https:\/\/scholar.google.com\/citations%3Fuser%3DnFMAQmIAAAAJ%26hl%3Den&#038;ved=2ahUKEwjLwpznlr-HAxVsVaQEHb1PCEsQFnoECBIQAQ&#038;usg=AOvVaw2F7iMlC0N_R8JdU1SqJFpB\">\n\t\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\n\t\t\t\t\t\t\t\t\n\t\t\t\tRenzi Wang  \n\t\t\t<\/h2 > \n\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ca86f70 my-divider elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"ca86f70\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bf21411 elementor-widget elementor-widget-text-editor\" data-id=\"bf21411\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: #352a87;\"><span style=\"font-size: 24px;\">PhD Candidate in Engineering Science<\/span><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d04271b elementor-widget elementor-widget-text-editor\" data-id=\"d04271b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div style=\"width: 1120px; margin-bottom: 5px;\" data-id=\"571d48f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\"><p><span style=\"color: #333333;\"><b>Department of Electrical Engineering (ESAT), STADIUS division<\/b><\/span><\/p><p><span style=\"color: #333333;\"><b>KU Leuven<\/b><\/span><\/p><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9fe98ef elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9fe98ef\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-6f52f17\" data-id=\"6f52f17\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2ca30c2 elementor-widget elementor-widget-image\" data-id=\"2ca30c2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/elo-x.eu\/wp-content\/uploads\/2021\/09\/Renzi_Wang-1024x682.jpg\" class=\"attachment-large size-large wp-image-672\" alt=\"\" srcset=\"https:\/\/elo-x.eu\/wp-content\/uploads\/2021\/09\/Renzi_Wang-1024x682.jpg 1024w, https:\/\/elo-x.eu\/wp-content\/uploads\/2021\/09\/Renzi_Wang-300x200.jpg 300w, https:\/\/elo-x.eu\/wp-content\/uploads\/2021\/09\/Renzi_Wang-768x512.jpg 768w, https:\/\/elo-x.eu\/wp-content\/uploads\/2021\/09\/Renzi_Wang-1536x1023.jpg 1536w, https:\/\/elo-x.eu\/wp-content\/uploads\/2021\/09\/Renzi_Wang-2048x1365.jpg 2048w\" sizes=\"100vw\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9205397 elementor-widget elementor-widget-video\" data-id=\"9205397\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=LDUC8jMWdac&amp;t&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-4b93b98\" data-id=\"4b93b98\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8d2ff49 elementor-widget elementor-widget-text-editor\" data-id=\"8d2ff49\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Renzi Wang received her bachelor\u2019s degree in mechatronics with a focus on robotics from Harbin Institute of Technology, China, in 2018, and her master\u2019s degree in mechatronics with a focus on control theory from Karlsruhe Institute of Technology, Germany, in 2021. During her master&#8217;s study, she took one exchange semester at EPFL, Switzerland, and completed her master thesis with a topic on extending a data-enabled predictive control method on nonlinear systems there.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6009267 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6009267\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9156808\" data-id=\"9156808\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-67e3347 my-divider elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"67e3347\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-bcef1d3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"bcef1d3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-668d476\" data-id=\"668d476\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0d3490a elementor-widget elementor-widget-heading\" data-id=\"0d3490a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Project description<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6887ee1 elementor-widget elementor-widget-text-editor\" data-id=\"6887ee1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Autonomous navigation in uncertain environments, where vehicles (autonomous cars, robots, drones) must interact with other vehicles or other users (e.g., pedestrians) was identified as a highly challenging control task. Thus, Renzi developed MPC strategies that took into account interaction and uncertainty. Traditional means of handling uncertainty such as robust or stochastic approaches were demonstrated to be either too conservative or too risk-prone. Moreover, existing MPC methodologies typically assumed that the uncertain behavior of surrounding users was completely exogenous, thus failing to take interaction into account. To explicitly account for interactions, Renzi developed stochastic models for surrounding users whose probabilistic structure depended on the states of other users. The parameter models were learned through historical trajectories using machine learning. The resulting NMPC formulations led to optimal control problems that were more complex and of larger scale than what state-of-the-art embedded solvers could handle. Renzi&#8217;s project successfully developed optimization algorithms for interaction-aware MPC for autonomous navigation in uncertain environments, including a novel EM++ parameter learning framework for stochastic switching systems and risk-sensitive MPC approaches with sequential convexification algorithms.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2627dc9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2627dc9\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3d794ab\" data-id=\"3d794ab\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2776d4d elementor-align-center elementor-widget elementor-widget-button\" data-id=\"2776d4d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/elo-x.eu\/?p=2211\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Read more about this project<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5b46b6a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5b46b6a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b6f452b\" data-id=\"b6f452b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3f457c7 my-divider elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"3f457c7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-acc7be4 elementor-widget elementor-widget-heading\" data-id=\"acc7be4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Publications<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dc07069 elementor-widget elementor-widget-shortcode\" data-id=\"dc07069\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><div class=\"teachpress_pub_list\"><form name=\"tppublistform\" method=\"get\"><a name=\"tppubs\" id=\"tppubs\"><\/a><div class=\"tp_search_input\"><input type=\"hidden\" name=\"p\" id=\"page_id\" value=\"671\"\/><input name=\"tsr\" id=\"tp_search_input_field\" type=\"search\" placeholder=\"Enter search word\" value=\"\" tabindex=\"1\"\/><div class=\"teachpress_search_button\"><input name=\"tps_button\" class=\"tp_search_button\" type=\"submit\" tabindex=\"10\" value=\"Search\"\/><\/div><\/div><\/form><div class=\"teachpress_publication_list\"><div class=\"tp_publication tp_publication_workingpaper\"><div class=\"tp_pub_number\">1.<\/div><div class=\"tp_pub_info\"><p class=\"tp_pub_author\"> Wang, Renzi;  Schuurmans, Mathijs;  Patrinos, Panagiotis<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('124','tp_links')\" style=\"cursor:pointer;\">Risk-Sensitive Model Predictive Control for Interaction-Aware Planning--A Sequential Convexification Algorithm<\/a> <span class=\"tp_pub_type tp_  workingpaper\">Working paper<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_year\">2025<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_124\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('124','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_124\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('124','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_124\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('124','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_124\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@workingpaper{wang2025risk,<br \/>\r\ntitle = {Risk-Sensitive Model Predictive Control for Interaction-Aware Planning--A Sequential Convexification Algorithm},<br \/>\r\nauthor = {Renzi Wang and Mathijs Schuurmans and Panagiotis Patrinos},<br \/>\r\nurl = {https:\/\/doi.org\/10.48550\/arXiv.2503.14328},<br \/>\r\nyear  = {2025},<br \/>\r\ndate = {2025-03-18},<br \/>\r\nabstract = {This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable convex upper bounds to both the objective function, and to frequently used penalty terms for collision avoidance, allowing us to efficiently solve the generally nonconvex optimal control problem as a sequence of convex problems. Simulations of a robot navigating a corridor demonstrate the effectiveness and the computational advantage of the proposed approach.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {workingpaper}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('124','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_124\" style=\"display:none;\"><div class=\"tp_abstract_entry\">This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable convex upper bounds to both the objective function, and to frequently used penalty terms for collision avoidance, allowing us to efficiently solve the generally nonconvex optimal control problem as a sequence of convex problems. Simulations of a robot navigating a corridor demonstrate the effectiveness and the computational advantage of the proposed approach.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('124','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_124\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-globe\"><\/i><a class=\"tp_pub_list\" href=\"https:\/\/doi.org\/10.48550\/arXiv.2503.14328\" title=\"https:\/\/doi.org\/10.48550\/arXiv.2503.14328\" target=\"_blank\">https:\/\/doi.org\/10.48550\/arXiv.2503.14328<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('124','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_workingpaper\"><div class=\"tp_pub_number\">2.<\/div><div class=\"tp_pub_info\"><p class=\"tp_pub_author\"> Wang, Renzi;  Acerbo, Flavia Sofia;  Son, Tong Duy;  Patrinos, Panagiotis<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('102','tp_links')\" style=\"cursor:pointer;\">Imitation Learning from Observations: An Autoregressive Mixture of Experts Approach<\/a> <span class=\"tp_pub_type tp_  workingpaper\">Working paper<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_year\">2024<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_102\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('102','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_102\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('102','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_102\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('102','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_102\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@workingpaper{wang2024imitation,<br \/>\r\ntitle = {Imitation Learning from Observations: An Autoregressive Mixture of Experts Approach},<br \/>\r\nauthor = {Renzi Wang and Flavia Sofia Acerbo and Tong Duy Son and Panagiotis Patrinos},<br \/>\r\nurl = {https:\/\/doi.org\/10.48550\/arXiv.2411.08232<br \/>\r\n},<br \/>\r\nyear  = {2024},<br \/>\r\ndate = {2024-11-12},<br \/>\r\nabstract = {This paper presents a novel approach to imitation learning from observations, where an autoregressive mixture of experts model is deployed to fit the underlying policy. The parameters of the model are learned via a two-stage framework. By leveraging the existing dynamics knowledge, the first stage of the framework estimates the control input sequences and hence reduces the problem complexity. At the second stage, the policy is learned by solving a regularized maximum-likelihood estimation problem using the estimated control input sequences. We further extend the learning procedure by incorporating a Lyapunov stability constraint to ensure asymptotic stability of the identified model, for accurate multi-step predictions. The effectiveness of the proposed framework is validated using two autonomous driving datasets collected from human demonstrations, demonstrating its practical applicability in modelling complex nonlinear dynamics.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {workingpaper}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('102','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_102\" style=\"display:none;\"><div class=\"tp_abstract_entry\">This paper presents a novel approach to imitation learning from observations, where an autoregressive mixture of experts model is deployed to fit the underlying policy. The parameters of the model are learned via a two-stage framework. By leveraging the existing dynamics knowledge, the first stage of the framework estimates the control input sequences and hence reduces the problem complexity. At the second stage, the policy is learned by solving a regularized maximum-likelihood estimation problem using the estimated control input sequences. We further extend the learning procedure by incorporating a Lyapunov stability constraint to ensure asymptotic stability of the identified model, for accurate multi-step predictions. The effectiveness of the proposed framework is validated using two autonomous driving datasets collected from human demonstrations, demonstrating its practical applicability in modelling complex nonlinear dynamics.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('102','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_102\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-globe\"><\/i><a class=\"tp_pub_list\" href=\"https:\/\/doi.org\/10.48550\/arXiv.2411.08232\" title=\"https:\/\/doi.org\/10.48550\/arXiv.2411.08232\" target=\"_blank\">https:\/\/doi.org\/10.48550\/arXiv.2411.08232<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('102','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_workingpaper\"><div class=\"tp_pub_number\">3.<\/div><div class=\"tp_pub_info\"><p class=\"tp_pub_author\"> Wang, Renzi;  Bodard, Alexander;  Schuurmans, Mathijs;  Patrinos, Panagiotis<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('101','tp_links')\" style=\"cursor:pointer;\">EM++: A parameter learning framework for stochastic switching systems<\/a> <span class=\"tp_pub_type tp_  workingpaper\">Working paper<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_year\">2024<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_101\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('101','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_101\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('101','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_101\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('101','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_101\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@workingpaper{wang2024em++,,<br \/>\r\ntitle = {EM++: A parameter learning framework for stochastic switching systems},<br \/>\r\nauthor = {Renzi Wang and Alexander Bodard and Mathijs Schuurmans and Panagiotis Patrinos},<br \/>\r\nurl = {https:\/\/doi.org\/10.48550\/arXiv.2407.16359<br \/>\r\n},<br \/>\r\nyear  = {2024},<br \/>\r\ndate = {2024-07-01},<br \/>\r\nabstract = {This paper proposes a general switching dynamical system model, and a custom majorization-minimization-based algorithm EM++ for identifying its parameters. For certain families of distributions, such as Gaussian distributions, this algorithm reduces to the well-known expectation-maximization method. We prove global convergence of the algorithm under suitable assumptions, thus addressing an important open issue in the switching system identification literature. The effectiveness of both the proposed model and algorithm is validated through extensive numerical experiments.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {workingpaper}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('101','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_101\" style=\"display:none;\"><div class=\"tp_abstract_entry\">This paper proposes a general switching dynamical system model, and a custom majorization-minimization-based algorithm EM++ for identifying its parameters. For certain families of distributions, such as Gaussian distributions, this algorithm reduces to the well-known expectation-maximization method. We prove global convergence of the algorithm under suitable assumptions, thus addressing an important open issue in the switching system identification literature. The effectiveness of both the proposed model and algorithm is validated through extensive numerical experiments.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('101','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_101\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-globe\"><\/i><a class=\"tp_pub_list\" href=\"https:\/\/doi.org\/10.48550\/arXiv.2407.16359\" title=\"https:\/\/doi.org\/10.48550\/arXiv.2407.16359\" target=\"_blank\">https:\/\/doi.org\/10.48550\/arXiv.2407.16359<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('101','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_inproceedings\"><div class=\"tp_pub_number\">4.<\/div><div class=\"tp_pub_info\"><p class=\"tp_pub_author\"> Wang, Renzi;  Schuurmans, Mathijs;  Patrinos, Panagiotis<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('21','tp_links')\" style=\"cursor:pointer;\">Interaction-aware Model Predictive Control for Autonomous Driving<\/a> <span class=\"tp_pub_type tp_  inproceedings\">Proceedings Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_booktitle\">2023 European Control Conference (ECC), <\/span><span class=\"tp_pub_additional_pages\">pp. 1-6, <\/span><span class=\"tp_pub_additional_publisher\">IEEE, <\/span><span class=\"tp_pub_additional_address\">Bucharest, Romania, <\/span><span class=\"tp_pub_additional_year\">2023<\/span>, <span class=\"tp_pub_additional_isbn\">ISBN: 978-3-907144-08-4<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_21\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('21','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_21\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('21','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_21\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('21','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_21\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@inproceedings{Wang2023,<br \/>\r\ntitle = {Interaction-aware Model Predictive Control for Autonomous Driving},<br \/>\r\nauthor = {Renzi Wang and Mathijs Schuurmans and Panagiotis Patrinos},<br \/>\r\nurl = {https:\/\/ieeexplore.ieee.org\/document\/10178332<br \/>\r\nhttps:\/\/arxiv.org\/abs\/2211.17053},<br \/>\r\ndoi = {https:\/\/doi.org\/10.23919\/ECC57647.2023.10178332},<br \/>\r\nisbn = {978-3-907144-08-4},<br \/>\r\nyear  = {2023},<br \/>\r\ndate = {2023-07-17},<br \/>\r\nurldate = {2023-07-17},<br \/>\r\nbooktitle = {2023 European Control Conference (ECC)},<br \/>\r\npages = {1-6},<br \/>\r\npublisher = {IEEE},<br \/>\r\naddress = {Bucharest, Romania},<br \/>\r\nabstract = {We propose an interaction-aware stochastic model predictive control (MPC) strategy for lane merging tasks in automated driving. The MPC strategy is integrated with an online learning framework, which models a given driver\u2019s cooperation level as an unknown parameter in a state-dependent probability distribution. The online learning framework adaptively estimates the surrounding vehicle\u2019s cooperation level with the vehicle\u2019s past state trajectory and combines this with a kinematic vehicle model to predict the distribution of a multimodal future state trajectory. Learning is conducted using logistic regression, enabling fast online computations. The multi-future prediction is used in the MPC algorithm to compute the optimal control input while satisfying safety constraints. We demonstrate our algorithm in an interactive lane changing scenario with drivers in different randomly selected cooperation levels.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {inproceedings}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('21','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_21\" style=\"display:none;\"><div class=\"tp_abstract_entry\">We propose an interaction-aware stochastic model predictive control (MPC) strategy for lane merging tasks in automated driving. The MPC strategy is integrated with an online learning framework, which models a given driver\u2019s cooperation level as an unknown parameter in a state-dependent probability distribution. The online learning framework adaptively estimates the surrounding vehicle\u2019s cooperation level with the vehicle\u2019s past state trajectory and combines this with a kinematic vehicle model to predict the distribution of a multimodal future state trajectory. Learning is conducted using logistic regression, enabling fast online computations. The multi-future prediction is used in the MPC algorithm to compute the optimal control input while satisfying safety constraints. We demonstrate our algorithm in an interactive lane changing scenario with drivers in different randomly selected cooperation levels.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('21','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_21\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-globe\"><\/i><a class=\"tp_pub_list\" href=\"https:\/\/ieeexplore.ieee.org\/document\/10178332\" title=\"https:\/\/ieeexplore.ieee.org\/document\/10178332\" target=\"_blank\">https:\/\/ieeexplore.ieee.org\/document\/10178332<\/a><\/li><li><i class=\"ai ai-arxiv\"><\/i><a class=\"tp_pub_list\" href=\"https:\/\/arxiv.org\/abs\/2211.17053\" title=\"https:\/\/arxiv.org\/abs\/2211.17053\" target=\"_blank\">https:\/\/arxiv.org\/abs\/2211.17053<\/a><\/li><li><i class=\"ai ai-doi\"><\/i><a class=\"tp_pub_list\" href=\"https:\/\/dx.doi.org\/https:\/\/doi.org\/10.23919\/ECC57647.2023.10178332\" title=\"Follow DOI:https:\/\/doi.org\/10.23919\/ECC57647.2023.10178332\" target=\"_blank\">doi:https:\/\/doi.org\/10.23919\/ECC57647.2023.10178332<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('21','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><\/div><\/div><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Department of Electrical Engineering (ESAT), STADIUS division, KU Leuven<\/p>\n","protected":false},"author":2,"featured_media":672,"comment_status":"open","ping_status":"open","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"footnotes":""},"categories":[9,8],"tags":[],"class_list":["post-671","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-esr","category-people"],"_links":{"self":[{"href":"https:\/\/elo-x.eu\/index.php?rest_route=\/wp\/v2\/posts\/671","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/elo-x.eu\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/elo-x.eu\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/elo-x.eu\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/elo-x.eu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=671"}],"version-history":[{"count":20,"href":"https:\/\/elo-x.eu\/index.php?rest_route=\/wp\/v2\/posts\/671\/revisions"}],"predecessor-version":[{"id":3074,"href":"https:\/\/elo-x.eu\/index.php?rest_route=\/wp\/v2\/posts\/671\/revisions\/3074"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/elo-x.eu\/index.php?rest_route=\/wp\/v2\/media\/672"}],"wp:attachment":[{"href":"https:\/\/elo-x.eu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=671"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/elo-x.eu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=671"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/elo-x.eu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=671"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}