{"id":392,"date":"2019-04-14T16:29:24","date_gmt":"2019-04-14T15:29:24","guid":{"rendered":"http:\/\/pageperso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/?page_id=392"},"modified":"2019-04-14T16:54:57","modified_gmt":"2019-04-14T15:54:57","slug":"second-week-8-12-july","status":"publish","type":"page","link":"https:\/\/perso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/accueil\/master-school-on-data-science-and-geometry\/second-week-8-12-july\/","title":{"rendered":"Second Week 8-12 July"},"content":{"rendered":"<p><span style=\"color: #ff99cc;font-size: 14pt\">Geometry Lecture (10h) <em>Analysis on manifolds<\/em><\/span><\/p>\n<p><span style=\"font-size: 14pt\">J\u00e9r\u00f4me Bertrand<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 14pt\">Lecture 1 (2 hours) Manifolds with boundary, Bishop inequality, Laplacian of the distance function.<\/span><\/li>\n<li><span style=\"font-size: 14pt\">Lecture 2 (2 hours) Differential operators and their formal adjoints, the Hodge-de Rham theorem. Basic spectral geometry.<\/span><\/li>\n<li><span style=\"font-size: 14pt\">Lecture 3 (2 hours) Some examples of Spectra, The minimax principle.<\/span><\/li>\n<li><span style=\"font-size: 14pt\">Lecture 4 (2 hours) Eigenvalues estimates, Bishop\u2019s theorem, Lower bounds for the first eigenvalue.<\/span><\/li>\n<li><span style=\"font-size: 14pt\">Lecture 5 (2 hours) Paul Levy\u2019s isoperimetric inequality<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #ff99cc;font-size: 14pt\">Statistics Lecture (10h)\u00a0 <em>Statistical Learning<\/em><\/span><\/p>\n<p><span style=\"font-size: 14pt\">Jean-Michel Loubes and Laurent Risser<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 14pt\">Lecture 1 (2 hours) From linear regression to non linear regression. GLM and other extensions.<\/span><\/li>\n<li><span style=\"font-size: 14pt\">Lecture 2 and 3 (4 hours) Regression trees. Bagging. Boosting.<\/span><\/li>\n<li><span style=\"font-size: 14pt\">Lecture 4 (2 hours) Introduction to deep learning.<\/span><\/li>\n<li><span style=\"font-size: 14pt\">Lecture 5 (2 or 4 hours) Stochastic gradient for online learning<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Geometry Lecture (10h) Analysis on manifolds J\u00e9r\u00f4me Bertrand Lecture 1 (2 hours) Manifolds with boundary, Bishop inequality, Laplacian of the distance function. Lecture 2 (2 hours) Differential operators and their formal adjoints, the Hodge-de Rham theorem. Basic spectral geometry. Lecture 3 (2 hours) Some examples of Spectra, The minimax principle. Lecture 4 (2 hours) Eigenvalues [&hellip;]<\/p>\n","protected":false},"author":203,"featured_media":0,"parent":377,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"template-full-width.php","meta":{"footnotes":""},"class_list":["post-392","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/wp-json\/wp\/v2\/pages\/392","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/wp-json\/wp\/v2\/users\/203"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/wp-json\/wp\/v2\/comments?post=392"}],"version-history":[{"count":5,"href":"https:\/\/perso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/wp-json\/wp\/v2\/pages\/392\/revisions"}],"predecessor-version":[{"id":412,"href":"https:\/\/perso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/wp-json\/wp\/v2\/pages\/392\/revisions\/412"}],"up":[{"embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/wp-json\/wp\/v2\/pages\/377"}],"wp:attachment":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/statistics-geometry-and-topology\/wp-json\/wp\/v2\/media?parent=392"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}