{"id":712,"date":"2022-02-28T19:22:34","date_gmt":"2022-02-28T18:22:34","guid":{"rendered":"https:\/\/people.unipi.it\/mauro_passacantando\/?page_id=712"},"modified":"2022-07-13T09:04:43","modified_gmt":"2022-07-13T07:04:43","slug":"omgt2122","status":"publish","type":"page","link":"https:\/\/people.unipi.it\/mauro_passacantando\/teaching-2\/omgt2122\/","title":{"rendered":"Optimization Methods and Game Theory &#8211; 2021\/22"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/esami.unipi.it\/esami2\/programma.php?c=52613\" target=\"_blank\" rel=\"noreferrer noopener\">General information on the course<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/unimap.unipi.it\/registri\/dettregistriNEW.php?re=3324452::::&amp;ri=9762\" target=\"_blank\" rel=\"noreferrer noopener\">Lectures schedule<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/unipiit.sharepoint.com\/:f:\/s\/a__td_52613\/Eqr8qtd6dlpOs9WKalhy1xsB5WXVbzZfVp1O1nEIBNXAmw?e=VEghZC\" target=\"_blank\" rel=\"noreferrer noopener\">Video recordings of lectures<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Suggested textbooks:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>S. Boyd, L. Vandenberghe, <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/www.stanford.edu\/~boyd\/cvxbook\" target=\"_blank\"> Convex optimization<\/a>, Cambridge University Press, 2004<\/li><li>M.S. Bazaraa, H.D. Sherali, C.M. Shetty, Nonlinear programming:  theory and algorithms, Wiley &amp; Sons, 2006 (Chapters 1-6, 8-9)<\/li><li>J. Nocedal, S. Wright, Numerical Optimization, Springer Series in  Operations Research and Financial Engineering, 2006 (Chapters 1-3, 5,  12, 16, 17)<\/li><li>J. Gondzio, <a rel=\"noreferrer noopener\" aria-label=\"Interior point methods 25 years later (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/05\/Gondzio-IP_methods_25_years.pdf\" target=\"_blank\">Interior point methods 25 years later<\/a>, European Journal of Operational Research, vol. 218 (2012), pp. 587-601<\/li><li>A.R. Conn, K. Scheinberg, L.N. Vicente, Introduction to Derivative-Free Optimization, SIAM series on Optimization, 2009  (Chapters 1, 7)<\/li><li>N. Cristianini, J. Shawe-Taylor, An Introduction to Support Vector Machines, Cambridge University Press, 2004.<\/li><li>A.J. Smola, B. Scholkopf, A tutorial on support vector regression, Statistics and Computing, vol. 14 (2004), pp. 199-222. <\/li><li>M. Teboulle, A Unified Continuous Optimization Framework for Center-Based Clustering Methods, Journal of Machine Learning Research, vol. 8 (2007), pp. 65-102. <\/li><li>D.T. Luc, Theory of Vector Optimization, Springer, 1989 (Chapters 2, 4)<\/li><li>Y. Sawaragi, H. Nakayama, T. Tanino, Theory of Multiobjective Optimization, Academic Press, 1985 (Chapters 3, 7)<\/li><li>M.J. Osborne, A. Rubinstein, <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/books.osborne.economics.utoronto.ca\/\" target=\"_blank\">A Course in Game Theory<\/a>, MIT press, 1994 (Chapters 1-4)<\/li><li>N. Nisan, T. Roughgarden, E. Tardos, V.V. Vazirani,  Algorithmic Game Theory, Cambridge University Press, 2007 (Chapter 3)<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Slides:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/02\/0-introduction.pdf\" target=\"_blank\">0 &#8211; Introduction<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/02\/1-convexity.pdf\" target=\"_blank\">1 &#8211; Preliminaries on convex sets and convex functions<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/03\/2-existence_optimality.pdf\" target=\"_blank\">2 &#8211; Existence of optimal solutions and optimality conditions<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/03\/3-duality.pdf\" target=\"_blank\">3 &#8211; Lagrangian duality<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/03\/4-classification.pdf\" target=\"_blank\">4 &#8211; Support Vector Machines for supervised classification problems<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/03\/5-regression.pdf\" target=\"_blank\">5 &#8211; Regression problems<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/04\/6-clustering.pdf\" target=\"_blank\">6 &#8211; Clustering problems<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/04\/7-methods_uncon_opt.pdf\" target=\"_blank\">7 &#8211; Solution methods for unconstrained optimization problems<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/04\/8-methods_con_opt.pdf\" target=\"_blank\">8 &#8211; Solution methods for constrained optimization problems<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/05\/9-multiobjective_opt.pdf\" target=\"_blank\">9 &#8211; Multiobjective optimization problems<\/a><\/li><li><a href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/05\/10-noncoop_gt.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">10 &#8211; Non-cooperative game theory<\/a><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/05\/OMGT_Diagrams_Gjoni.pdf\" target=\"_blank\">Diagrams of &#8220;Optimization Methods and Game Theory&#8221;<\/a> (by Luigi Gjoni, former student of OMGT)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Exercises:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/03\/matlab_cheat_sheet.pdf\" target=\"_blank\">MATLAB cheat sheet<\/a><\/li><li>Ch. 2-3 \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2020\/03\/exercises_opt_theory.pdf\" target=\"_blank\">Nonlinear optimization theory<\/a><\/li><li>Ch. 3: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/3-dual.m\" target=\"_blank\">Lagrangian dual of a nonconvex problem<\/a><\/li><li>Ch. 4 \u2013 SVM for classification problems:<ul><li>Data sets: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/4-1.txt\" target=\"_blank\">4-1.txt<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/4-4.txt\" target=\"_blank\">4-4.txt<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/4-5.txt\" target=\"_blank\">4-5.txt<\/a><\/li><li>Solutions: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol4_1.m\" target=\"_blank\">4-1.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol4_2.m\" target=\"_blank\">4-2.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol4_4.m\" target=\"_blank\">4-4.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol4_5.m\" target=\"_blank\">4.5.m<\/a><\/li><\/ul><\/li><li>Ch. 5 &#8211; Regression problems<ul><li>Data sets: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/5-1.txt\" target=\"_blank\">5-1.txt<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/5-2.txt\" target=\"_blank\">5-2.txt<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/5-6.txt\" target=\"_blank\">5-6.txt<\/a><\/li><li>Solutions: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_1.m\" target=\"_blank\">5.1.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_2.m\" target=\"_blank\">5.2.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_3.m\" target=\"_blank\">5.3.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_4.m\" target=\"_blank\">5.4.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_5.m\" target=\"_blank\">5.5.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_6.m\" target=\"_blank\">5.6.m<\/a><\/li><\/ul><\/li><li>Ch. 6 \u2013 Clustering problems:<ul><li>Data sets: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/6-1.txt\" target=\"_blank\">6-1.txt<\/a><\/li><li>Solutions: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol6_1ab.m\" target=\"_blank\">6-1ab.m<\/a> &#8211; <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/kmeans.m\" target=\"_blank\">kmeans.m<\/a> &#8211; <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol6_1c.m\" target=\"_blank\">6-1c.m<\/a> &#8211; <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol6_2ab.m\" target=\"_blank\">6-2ab.m<\/a> &#8211; <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/kmedian.m\" target=\"_blank\">kmedian.m<\/a> &#8211; <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol6_2c.m\" target=\"_blank\">6-2c.m<\/a><\/li><\/ul><\/li><li>Ch. 7 \u2013 Solution methods for unconstrained optimization:<ul><li>Solutions: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/f.m\" target=\"_blank\">f.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol7_1.m\" target=\"_blank\">7.1.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol7_2.m\" target=\"_blank\">7.2.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol7_3.m\" target=\"_blank\">7.3.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol7_4.m\" target=\"_blank\">7.4.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol7_5.m\" target=\"_blank\">7.5.m<\/a><\/li><\/ul><\/li><li>Ch. 8 \u2013 Solution methods for constrained optimization:<ul><li>Solutions: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol8_2.m\" target=\"_blank\">8.2.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol8_3.m\" target=\"_blank\">8.3.m<\/a><\/li><\/ul><\/li><li>Ch. 9 \u2013 Multiobjective optimization:<ul><li>Solutions: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol9_1.m\" target=\"_blank\">9.1.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol9_4.m\" target=\"_blank\">9.4.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol9_5.m\" target=\"_blank\">9.5.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol9_6.m\" target=\"_blank\">9.6.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol9_7.m\" target=\"_blank\">9.7.m<\/a><\/li><\/ul><\/li><li>Ch. 10 \u2013 Non-cooperative game theory:<ul><li>Solutions: <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol10_2.m\" target=\"_blank\">10.2.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol10_5.m\" target=\"_blank\">10.5.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/gap.m\" target=\"_blank\">gap.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/reggap.m\" target=\"_blank\">reggap.m<\/a> \u2013 <a rel=\"noreferrer noopener\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/Dgap.m\" target=\"_blank\">Dgap.m<\/a><\/li><\/ul><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Further exercises:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/05\/exercises_active_set_method.pdf\" target=\"_blank\">Exercises on the active-set method<\/a><\/li><li><a rel=\"noreferrer noopener\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/05\/exercises_multiobjective.pdf\" target=\"_blank\">Exercises on multiobjective optimization<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\"Exercises on noncooperative games (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2020\/05\/exercises_games.pdf\" target=\"_blank\">Exercises on non-cooperative games<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\"Exam exercises (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/05\/exercises_exam.pdf\" target=\"_blank\">Exercises from old exams<\/a> <\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Oral Exams:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>21 July 2022 from 14:00 &#8211; room C31 &#8211; <a rel=\"noreferrer noopener\" href=\"https:\/\/esami.unipi.it\/esami\/findcourse.php?id=52613\" target=\"_blank\">subscribe<\/a><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>General information on the course Lectures schedule Video recordings of lectures Suggested textbooks: S. Boyd, L. Vandenberghe, Convex optimization, Cambridge&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/people.unipi.it\/mauro_passacantando\/teaching-2\/omgt2122\/\">Leggi tutto&#8230;<\/a><\/p>\n","protected":false},"author":230,"featured_media":0,"parent":48,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-712","page","type-page","status-publish","hentry"],"acf":[],"featured_image_src":null,"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Optimization Methods and Game Theory - 2021\/22 - Mauro Passacantando<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/people.unipi.it\/mauro_passacantando\/teaching-2\/omgt2122\/\" \/>\n<meta property=\"og:locale\" content=\"it_IT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Optimization Methods and Game Theory - 2021\/22 - Mauro Passacantando\" \/>\n<meta property=\"og:description\" content=\"General information on the course Lectures schedule Video recordings of lectures Suggested textbooks: S. 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