{"id":4644,"date":"2024-10-30T17:30:29","date_gmt":"2024-10-30T17:30:29","guid":{"rendered":"https:\/\/www.stat.matf.bg.ac.rs\/?p=4644"},"modified":"2024-11-04T16:50:40","modified_gmt":"2024-11-04T16:50:40","slug":"%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%ba%d0%b0%d1%82%d0%b5%d0%b4%d1%80%d0%b5-%d0%b7%d0%b0-%d0%b2%d0%b5%d1%80%d0%be%d0%b2%d0%b0%d1%82%d0%bd%d0%be%d1%9b%d1%83-%d0%b8-%d1%81%d1%82%d0%b0%d1%82-19","status":"publish","type":"post","link":"https:\/\/www.stat.matf.bg.ac.rs\/en\/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%ba%d0%b0%d1%82%d0%b5%d0%b4%d1%80%d0%b5-%d0%b7%d0%b0-%d0%b2%d0%b5%d1%80%d0%be%d0%b2%d0%b0%d1%82%d0%bd%d0%be%d1%9b%d1%83-%d0%b8-%d1%81%d1%82%d0%b0%d1%82-19\/","title":{"rendered":"Seminar of the Department of Probability and Statistics"},"content":{"rendered":"
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<\/p>\n

\u0423 \u0441\u0440\u0435\u0434\u0443 6. \u043d\u043e\u0432\u0435\u043c\u0431\u0440\u0430 2024. \u0443 16:15 \u0447\u0430\u0441\u043e\u0432\u0430, \u0443 \u0441\u0430\u043b\u0438  840, \u041b\u0435\u0430 \u041a\u0443\u043d\u043a\u0435\u043b (\u0418\u043d\u0441\u0442\u0438\u0442\u0443\u0442 \u0437\u0430 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0458\u0443 \u0443 \u041a\u0430\u0440\u043b\u0441\u0440\u0443\u0435\u0443, \u041d\u0435\u043c\u0430\u0447\u043a\u0430) \u045b\u0435 \u043e\u0434\u0440\u0436\u0430\u0442\u0438 \u043f\u0440\u0435\u0434\u0430\u0432\u0430\u045a\u0435<\/p>\n

A WASSERSTEIN PERSPECTIVE OF VANILLA GAN’S <\/p>\n

Summary:<\/strong> Generative Adversarial Networks <\/em>(GANs) have attracted much attention since their introduction by Goodfellow el al. (2014), initially due to impressive results in the creation of photorealistic images. Meanwhile, the areas of application have expanded far beyond this, and GANs serve as a prototypical example of the rapidly developing experimental and theoretical research area of generative models.<\/p>\n

The statistical literature focuses mainly on Wasserstein GANs and their generalizations, which allow for good dimension reduction properties. Statistical results for vanilla GANs, the original optimization problem, are still rather limited and require assumptions such as smooth activation functions and equal dimensions of the latent space and the ambient space. <\/p>\n

To bridge this gap, we draw a connection from vanilla GANs to the Wasserstein distance. In doing so, existing results for Wasserstein GANs can be extended to vanilla GANs. In particular, we obtain an oracle inequality for vanilla GANs in Wasserstein distance. The assumptions of this oracle inequality are designed to be satisfied by commonly used network architectures, such as feedforward ReLU networks. By providing a quantitative result for the approximation of a Lipschitz function by a feedforward ReLU network with bounded H\u00f6lder norm, we conclude a convergence rate for Vanilla GANs.<\/p>\n

\u041b\u0438\u043d\u043a \u0437\u0430 \u043f\u0440\u0438\u0441\u0442\u0443\u043f \u0458\u0435<\/p>\n

https:\/\/zoom.us\/j\/97192573234?pwd=2yQRNLUNCMkWbyFO1UHu96A0yAefeX.1<\/a><\/p>\n

\nMeeting ID: 954 8688 5765
Passcode: 258075<\/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<\/div>","protected":false},"excerpt":{"rendered":"

\u0423 \u0441\u0440\u0435\u0434\u0443 6. \u043d\u043e\u0432\u0435\u043c\u0431\u0440\u0430 2024. \u0443 16:15 \u0447\u0430\u0441\u043e\u0432\u0430, \u0443 \u0441\u0430\u043b\u0438  840, \u041b\u0435\u0430 \u041a\u0443\u043d\u043a\u0435\u043b (\u0418\u043d\u0441\u0442\u0438\u0442\u0443\u0442 \u0437\u0430 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0458\u0443 \u0443 \u041a\u0430\u0440\u043b\u0441\u0440\u0443\u0435\u0443, \u041d\u0435\u043c\u0430\u0447\u043a\u0430) \u045b\u0435 \u043e\u0434\u0440\u0436\u0430\u0442\u0438 \u043f\u0440\u0435\u0434\u0430\u0432\u0430\u045a\u0435 A WASSERSTEIN PERSPECTIVE OF VANILLA GAN’S  \u0420\u0435\u0437\u0438\u043c\u0435: Generative Adversarial Networks (GANs) have attracted much attention since their introduction by Goodfellow el al. (2014), initially due to impressive results in the creation of photorealistic […]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-4644","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/www.stat.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/posts\/4644","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.stat.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.stat.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.stat.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/www.stat.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/comments?post=4644"}],"version-history":[{"count":13,"href":"https:\/\/www.stat.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/posts\/4644\/revisions"}],"predecessor-version":[{"id":4658,"href":"https:\/\/www.stat.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/posts\/4644\/revisions\/4658"}],"wp:attachment":[{"href":"https:\/\/www.stat.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/media?parent=4644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.stat.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/categories?post=4644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.stat.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/tags?post=4644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}