{"id":125,"date":"2019-09-09T15:11:46","date_gmt":"2019-09-09T13:11:46","guid":{"rendered":"http:\/\/people.unipi.it\/mauro_passacantando\/?page_id=125"},"modified":"2022-05-10T18:04:30","modified_gmt":"2022-05-10T16:04:30","slug":"omgt","status":"publish","type":"page","link":"https:\/\/people.unipi.it\/mauro_passacantando\/teaching-2\/omgt\/","title":{"rendered":"Optimization Methods and Game Theory &#8211; 2020\/21"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/esami.unipi.it\/docenti\/viewProgCorso.php?c=48210&amp;language=all\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\">General information on the course<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"https:\/\/unimap.unipi.it\/registri\/dettregistriNEW.php?re=3311717::::&amp;ri=9762\" target=\"_blank\">Lectures schedule<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a rel=\"noreferrer noopener\" aria-label=\"video recordings of lessons (apre in una nuova scheda)\" href=\"https:\/\/unipiit.sharepoint.com\/sites\/a__td_48210\/Shared%20Documents\/Forms\/AllItems.aspx?viewid=f7a559fc%2D7fe3%2D41ae%2D8da5%2D83fb9410f36f&amp;id=%2Fsites%2Fa%5F%5Ftd%5F48210%2FShared%20Documents%2FGeneral%2FRecordings\" target=\"_blank\">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 href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/05\/Gondzio-IP_methods_25_years.pdf\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"Interior point methods 25 years later (apre in una nuova scheda)\">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\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/03\/0-introduction.pdf\" target=\"_blank\">0 &#8211; Introduction<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/03\/1-convexity.pdf\" target=\"_blank\">1 &#8211; Preliminaries on convex sets and convex functions<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\"2 - Existence of optimal solutions and optimality conditions (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/03\/2-existence_optimality.pdf\" target=\"_blank\">2 &#8211; Existence of optimal solutions and optimality conditions<\/a><\/li><li><a href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2022\/03\/3-duality.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">3 &#8211; Lagrangian duality<\/a><\/li><li><a href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/03\/4-classification.pdf\">4 &#8211; Support Vector Machines for classification problems<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\"5 - Regression problems (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/04\/5-regression.pdf\" target=\"_blank\">5 &#8211; Regression problems<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\"6 - Clustering problems (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/04\/6-clustering.pdf\" target=\"_blank\">6 &#8211; Clustering problems<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/04\/7-methods_uncon_opt.pdf\" target=\"_blank\">7 &#8211; Solution methods for unconstrained optimization problems<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/04\/8-methods_con_opt.pdf\" target=\"_blank\">8 &#8211; Solution methods for constrained optimization problems<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\"9 - Multiobjective optimization problems (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/05\/9-multiobjective_opt.pdf\" target=\"_blank\">9 &#8211; Multiobjective optimization problems<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\"10 - Noncooperative game theory (apre in una nuova scheda)\" href=\"http:\/\/people.unipi.it\/mauro_passacantando\/wp-content\/uploads\/sites\/208\/2021\/05\/10-noncoop_gt.pdf\" target=\"_blank\">10 &#8211; Noncooperative game theory<\/a><\/li><\/ul>\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\" aria-label=\"MATLAB cheat sheet (apre in una nuova scheda)\" 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 &#8211; <a rel=\"noreferrer noopener\" aria-label=\"Nonlinear optimization theory (apre in una nuova scheda)\" 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\" aria-label=\"Lagrangian dual of a nonconvex problem (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/3-dual.m\" target=\"_blank\">Lagrangian dual of a nonconvex problem<\/a><\/li><li>Ch. 4 &#8211; SVM for classification problems:<ul><li>Data sets:  <a rel=\"noreferrer noopener\" aria-label=\"4-1.txt (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/4-1.txt\" target=\"_blank\">4-1.txt<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\"4-4.txt (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/4-4.txt\" target=\"_blank\">4-4.txt<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\"4-5.txt (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/4-5.txt\" target=\"_blank\">4-5.txt<\/a><\/li><li>Solutions:  <a rel=\"noreferrer noopener\" aria-label=\"4_1.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol4_1.m\" target=\"_blank\">4.1.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol4_2.m\" target=\"_blank\">4.2.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol4_4.m\" target=\"_blank\">4.4.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" 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\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/5-1.txt\" target=\"_blank\">5-1.txt<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/5-2.txt\" target=\"_blank\">5-2.txt<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/5-6.txt\" target=\"_blank\">5-6.txt<\/a><\/li><li>Solutions:  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_1.m\" target=\"_blank\">5.1.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_2.m\" target=\"_blank\">5.2.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_3.m\" target=\"_blank\">5.3.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_4.m\" target=\"_blank\">5.4.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_5.m\" target=\"_blank\">5.5.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol5_6.m\" target=\"_blank\">5.6.m<\/a><\/li><\/ul><\/li><li>Ch. 6 &#8211; Clustering problems:<ul><li>Data sets:  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/6-1.txt\" target=\"_blank\">6-1.txt<\/a><\/li><li>Solutions: <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol6_1.m\" target=\"_blank\">6.1.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol6_2.m\" target=\"_blank\">6.2.m<\/a><\/li><\/ul><\/li><li>Ch. 7 &#8211; Solution methods for unconstrained optimization:<ul><li>Solutions:   <a rel=\"noreferrer noopener\" aria-label=\"f.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/f.m\" target=\"_blank\">f.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol7_1.m\" target=\"_blank\">7.1.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol7_2.m\" target=\"_blank\">7.2.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol7_3.m\" target=\"_blank\">7.3.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\" (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol7_4.m\" target=\"_blank\">7.4.m<\/a>  &#8211;   <a rel=\"noreferrer noopener\" aria-label=\"7.5.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol7_5.m\" target=\"_blank\">7.5.m<\/a><\/li><\/ul><\/li><li>Ch. 8 &#8211; Solution methods for constrained optimization:<ul><li>Solutions: <a rel=\"noreferrer noopener\" aria-label=\"8.2.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol8_2.m\" target=\"_blank\">8.2.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\"8.3.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol8_3.m\" target=\"_blank\">8.3.m<\/a><\/li><\/ul><\/li><li>Ch. 9 &#8211; Multiobjective optimization:<ul><li>Solutions:  <a rel=\"noreferrer noopener\" aria-label=\"9.1.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol9_1.m\" target=\"_blank\">9.1.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\"9.4.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol9_4.m\" target=\"_blank\">9.4.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\"9.5.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol9_5.m\" target=\"_blank\">9.5.m<\/a>  &#8211;   <a rel=\"noreferrer noopener\" aria-label=\"9.6.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol9_6.m\" target=\"_blank\">9.6.m<\/a>  &#8211;   <a rel=\"noreferrer noopener\" aria-label=\"9.7.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol9_7.m\" target=\"_blank\">9.7.m<\/a>  <\/li><\/ul><\/li><li>Ch. 10 &#8211; Noncooperative game theory:<ul><li>Solutions:  <a rel=\"noreferrer noopener\" aria-label=\"10.2.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol10_2.m\" target=\"_blank\">10.2.m<\/a>  &#8211;  <a rel=\"noreferrer noopener\" aria-label=\"10.5.m (apre in una nuova scheda)\" href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/sol10_5.m\" target=\"_blank\">10.5.m<\/a>  &#8211;  <a href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/gap.m\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"gap.m (apre in una nuova scheda)\">gap.m<\/a>  &#8211;  <a href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/reggap.m\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"reggap.m (apre in una nuova scheda)\">reggap.m<\/a>  &#8211;  <a href=\"http:\/\/pages.di.unipi.it\/passacantando\/omgt\/Dgap.m\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"Dgap.m (apre in una nuova scheda)\">Dgap.m<\/a><\/li><\/ul><\/li><\/ul>\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\" aria-label=\"Exercises on the active-set method (apre in una nuova scheda)\" 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\" aria-label=\"Exercises on multiobjective optimization (apre in una nuova scheda)\" 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 noncooperative 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\">Exam exercises<\/a> <\/li><\/ul>\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\/omgt\/\">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-125","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 - 2020\/21 - 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\/omgt\/\" \/>\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 - 2020\/21 - 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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