{"id":847,"date":"2022-06-16T13:28:07","date_gmt":"2022-06-16T13:28:07","guid":{"rendered":"https:\/\/web.eecs.umich.edu\/~girasole\/?p=847"},"modified":"2022-06-16T13:28:09","modified_gmt":"2022-06-16T13:28:09","slug":"k-subspaces-algorithm-results-at-icml","status":"publish","type":"post","link":"https:\/\/web.eecs.umich.edu\/~girasole\/?p=847","title":{"rendered":"K-Subspaces Algorithm Results at ICML"},"content":{"rendered":"\n<p>I&#8217;m excited that our results for the K-Subspaces algorithm were accepted to ICML. My postdoc <a href=\"https:\/\/peng8wang.github.io\/\" rel=\"nofollow\">Peng Wang<\/a> will be presenting his excellent work; you may <a href=\"https:\/\/arxiv.org\/abs\/2206.05553\" rel=\"nofollow\">read the paper here<\/a> or attend his session if you are interested. K-Subspaces (KSS) is a natural generalization of K-Means to higher dimensional centers, originally proposed by Bradley and Mangasarian in 2000. Peng not only showed that KSS converges locally, but that a simple spectral initialization guarantees a close-enough initialization in the case of data drawn randomly from arbitrary subspaces. This makes a giant step in a line of questioning that has been open for more than 20 years. Great work Peng! <\/p>\n","protected":false},"excerpt":{"rendered":"<p>I&#8217;m excited that our results for the K-Subspaces algorithm were accepted to ICML. My postdoc Peng Wang will be presenting his excellent work; you may read the paper here or attend his session if you are interested. K-Subspaces (KSS) is a natural generalization of K-Means to higher dimensional centers, originally proposed by Bradley and Mangasarian [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[4,13],"tags":[],"_links":{"self":[{"href":"https:\/\/web.eecs.umich.edu\/~girasole\/index.php?rest_route=\/wp\/v2\/posts\/847"}],"collection":[{"href":"https:\/\/web.eecs.umich.edu\/~girasole\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/web.eecs.umich.edu\/~girasole\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/web.eecs.umich.edu\/~girasole\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/web.eecs.umich.edu\/~girasole\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=847"}],"version-history":[{"count":2,"href":"https:\/\/web.eecs.umich.edu\/~girasole\/index.php?rest_route=\/wp\/v2\/posts\/847\/revisions"}],"predecessor-version":[{"id":849,"href":"https:\/\/web.eecs.umich.edu\/~girasole\/index.php?rest_route=\/wp\/v2\/posts\/847\/revisions\/849"}],"wp:attachment":[{"href":"https:\/\/web.eecs.umich.edu\/~girasole\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/web.eecs.umich.edu\/~girasole\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/web.eecs.umich.edu\/~girasole\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}