{"id":278480,"date":"2016-04-18T11:35:03","date_gmt":"2016-04-18T07:35:03","guid":{"rendered":"http:\/\/savepearlharbor.com\/?p=278480"},"modified":"-0001-11-30T00:00:00","modified_gmt":"-0001-11-29T21:00:00","slug":"","status":"publish","type":"post","link":"https:\/\/savepearlharbor.com\/?p=278480","title":{"rendered":"\u041d\u0435\u0439\u0440\u043e\u0441\u0435\u0442\u0438 vs \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043d\u0430 \u0433\u043b\u0430\u0437\u043e\u043a"},"content":{"rendered":"\n<p>\u0421\u0435\u0433\u043e\u0434\u043d\u044f \u044f \u0443\u0437\u043d\u0430\u043b, \u0447\u0442\u043e \u043b\u044e\u0434\u0438 \u043c\u043e\u0433\u0443\u0442 \u043d\u0430 \u0433\u043b\u0430\u0437 \u043f\u0440\u0438\u043a\u0438\u0434\u044b\u0432\u0430\u0442\u044c \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b!<br \/>  (\u043d\u0430\u043f\u043e\u043c\u043d\u044e, \u0440\u0430\u043d\u0433 \u2014 \u044d\u0442\u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043b\u0438\u043d\u0435\u0439\u043d\u043e \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0441\u0442\u0440\u043e\u043a \u0438\u043b\u0438 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432)<\/p>\n<p>  <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/habrastorage.org\/files\/87f\/67b\/c87\/87f67bc874eb489eab29c4e9ef0b2491.png\" alt=\"image\"\/><\/p>\n<p>  <\/p>\n<p>\u0422\u0438\u043f\u0430, \u0432\u043e\u0442 \u0441\u043c\u043e\u0442\u0440\u044f\u0442 \u043d\u0430 \u0432\u043e\u0442 \u044d\u0442\u043e \u0438 \u0433\u043e\u0432\u043e\u0440\u044f\u0442, \u0447\u0442\u043e \u0440\u0430\u043d\u0433 \u2014 <\/p>\n<p>  <\/p>\n<div class=\"spoiler\"><b class=\"spoiler_title\">\u043d\u0443! \u043d\u0443!<\/b><\/p>\n<div class=\"spoiler_text\">\n<p>3<\/p>\n<\/div>\n<\/div>\n<p>  <\/p>\n<p>\u041a\u0430\u043a \u0436\u0435 \u0443\u0441\u0442\u043e\u044f\u0442\u044c \u0438 \u043d\u0435 \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u0442\u044c \u043e\u0431\u0443\u0447\u0438\u0442\u044c \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0442\u044c \u043d\u0435\u0439\u0440\u043e\u0441\u0435\u0442\u044c, \u043f\u043e\u0434\u0443\u043c\u0430\u043b\u0438 <del>\u0443\u043a\u0443\u0440\u043a\u0438<\/del> c\u0442\u0443\u0434\u0435\u043d\u0442\u044b \u0438\u0437 Carnegie Mellon?<\/p>\n<p><a name=\"habracut\"><\/a>  <\/p>\n<p>\u0422\u043e \u0435\u0441\u0442\u044c, \u0432\u043e\u0442 \u0432\u0437\u044f\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443, \u043f\u0435\u0440\u0435\u0432\u0435\u0441\u0442\u0438 \u0432 \u0442\u0430\u043a\u0443\u044e \u043a\u0430\u0440\u0442\u0438\u043d\u043a\u0443 \u0438 \u0434\u0430\u0442\u044c \u043d\u0430 \u0432\u0445\u043e\u0434 CNN, \u0447\u0442\u043e\u0431\u044b \u043e\u043d\u0430 \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u044b\u0432\u0430\u043b\u0430 \u0440\u0430\u043d\u0433 \u0438\u043b\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0432\u044b\u0440\u043e\u0436\u0434\u0435\u043d\u043d\u043e\u0439.<\/p>\n<p>  <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/habrastorage.org\/files\/ad5\/845\/fa7\/ad5845fa7823463aabebcff6b03ab65c.png\" alt=\"image\"\/><\/p>\n<p>  <\/p>\n<p>\u0421\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u043d\u0430 \u0431\u043e\u043b\u0434. \u0412\u043e\u0442 \u043e\u043d\u043e, \u0431\u0443\u0434\u0443\u0449\u0435\u0435 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u043e\u0432.<\/p>\n<p>  <\/p>\n<p>\u0421\u0442\u0430\u0442\u044c\u044f <a href=\"http:\/\/www.oneweirdkerneltrick.com\/rank.pdf\">\u0437\u0434\u0435\u0441\u044c<\/a> \u0438 \u0432 \u043d\u0435\u0439 \u0432\u0435\u043b\u0438\u043a\u043e\u043b\u0435\u043f\u043d\u044b \u0438 \u0441\u043b\u043e\u0433, \u0438 \u043f\u043e\u0434\u043d\u0438\u043c\u0430\u0435\u043c\u044b\u0435 \u0432\u043e\u043f\u0440\u043e\u0441\u044b, \u0438 \u0441\u043f\u0438\u0441\u043e\u043a \u0430\u0432\u0442\u043e\u0440\u043e\u0432, \u0438 \u0432\u043e\u043e\u0431\u0449\u0435 \u0432\u0441\u0435.<\/p>\n<p>  <\/p>\n<p>\u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0434\u0430\u043b\u044c\u0448\u0435 \u043e\u043d\u0438 \u044d\u0442\u043e\u0442 \u0436\u0435 \u043f\u043e\u0434\u0445\u043e\u0434 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044e\u0442 \u043a \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044e \u043c\u0430\u0442\u0440\u0438\u0446 \u0438 \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044e \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439:<\/p>\n<p>  <\/p>\n<blockquote><p>We then use this data to train the network with<br \/>  stochastic gradient descent on a mean square error<br \/>  (MSE) loss for 100 epochs. Some qualitative predictions<br \/>  on unseen data are shown in Figures 7 and 8.<br \/>  We found the multiplication task to be easily solved<br \/>  by our network architecture, but the inversion task<br \/>  proved much more challenging, as shown by the<br \/>  higher MSE values. <b>We note that this is analogous to<br \/>  humans taking Linear Algebra 101<\/b>.<\/p><\/blockquote>\n<p>  <\/p>\n<p>\u0420\u0436\u0443 \u043d\u0438\u043c\u0430\u0433\u0443.<br \/>  \u041d\u0430 \u0441\u043b\u0430\u0434\u043a\u043e\u0435 \u2014 <a href=\"http:\/\/www.oneweirdkerneltrick.com\/rank_slides.pdf\">\u0441\u043b\u0430\u0439\u0434\u044b<\/a>.<\/p>\n<div class=\"clear\"><\/div>\n<p> \u0441\u0441\u044b\u043b\u043a\u0430 \u043d\u0430 \u043e\u0440\u0438\u0433\u0438\u043d\u0430\u043b \u0441\u0442\u0430\u0442\u044c\u0438 <a href=\"https:\/\/habrahabr.ru\/post\/281817\/\"> https:\/\/habrahabr.ru\/post\/281817\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"\n<p>\u0421\u0435\u0433\u043e\u0434\u043d\u044f \u044f \u0443\u0437\u043d\u0430\u043b, \u0447\u0442\u043e \u043b\u044e\u0434\u0438 \u043c\u043e\u0433\u0443\u0442 \u043d\u0430 \u0433\u043b\u0430\u0437 \u043f\u0440\u0438\u043a\u0438\u0434\u044b\u0432\u0430\u0442\u044c \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b!<br \/>  (\u043d\u0430\u043f\u043e\u043c\u043d\u044e, \u0440\u0430\u043d\u0433 \u2014 \u044d\u0442\u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043b\u0438\u043d\u0435\u0439\u043d\u043e \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0441\u0442\u0440\u043e\u043a \u0438\u043b\u0438 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432)<\/p>\n<p>  <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/habrastorage.org\/files\/87f\/67b\/c87\/87f67bc874eb489eab29c4e9ef0b2491.png\" alt=\"image\"\/><\/p>\n<p>  <\/p>\n<p>\u0422\u0438\u043f\u0430, \u0432\u043e\u0442 \u0441\u043c\u043e\u0442\u0440\u044f\u0442 \u043d\u0430 \u0432\u043e\u0442 \u044d\u0442\u043e \u0438 \u0433\u043e\u0432\u043e\u0440\u044f\u0442, \u0447\u0442\u043e \u0440\u0430\u043d\u0433 \u2014 <\/p>\n<p>  <\/p>\n<div class=\"spoiler\"><b class=\"spoiler_title\">\u043d\u0443! \u043d\u0443!<\/b><\/p>\n<div class=\"spoiler_text\">\n<p>3<\/p>\n<\/div>\n<\/div>\n<p>  <\/p>\n<p>\u041a\u0430\u043a \u0436\u0435 \u0443\u0441\u0442\u043e\u044f\u0442\u044c \u0438 \u043d\u0435 \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u0442\u044c \u043e\u0431\u0443\u0447\u0438\u0442\u044c \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0442\u044c \u043d\u0435\u0439\u0440\u043e\u0441\u0435\u0442\u044c, \u043f\u043e\u0434\u0443\u043c\u0430\u043b\u0438 <del>\u0443\u043a\u0443\u0440\u043a\u0438<\/del> c\u0442\u0443\u0434\u0435\u043d\u0442\u044b \u0438\u0437 Carnegie Mellon?<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-278480","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/278480","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=278480"}],"version-history":[{"count":0,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/278480\/revisions"}],"wp:attachment":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=278480"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=278480"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=278480"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}