{"id":188317,"date":"2024-04-28T22:24:02","date_gmt":"2024-04-29T03:24:02","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2024\/04\/divergences-dissimilarities-discrepancies-discriminations-displacements-diversities-affinities"},"modified":"2024-04-28T22:24:02","modified_gmt":"2024-04-29T03:24:02","slug":"divergences-dissimilarities-discrepancies-discriminations-displacements-diversities-affinities","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2024\/04\/divergences-dissimilarities-discrepancies-discriminations-displacements-diversities-affinities","title":{"rendered":"Divergences (dissimilarities, discrepancies, discriminations, displacements, diversities, affinities)"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/divergences-dissimilarities-discrepancies-discriminations-displacements-diversities-affinities2.jpg\"><\/a><\/p>\n<p>Taxonomy of principal distances and divergences v\/ Frank Nielsen.<\/p>\n<hr>\n<p>We define duo Bregman divergences, duo Fenchel-Young divergences, duo Jensen divergences. We show how those divergences occur naturally when calculating the Kullback-Leibler divergence and skew Bhattacharyya distances between densities belonging to nested exponential families. We report the KLD between truncated normal distributions as a duo Bregman divergence. Demo code:<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Taxonomy of principal distances and divergences v\/ Frank Nielsen. We define duo Bregman divergences, duo Fenchel-Young divergences, duo Jensen divergences. We show how those divergences occur naturally when calculating the Kullback-Leibler divergence and skew Bhattacharyya distances between densities belonging to nested exponential families. We report the KLD between truncated normal distributions as a duo Bregman [\u2026]<\/p>\n","protected":false},"author":709,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-188317","post","type-post","status-publish","format-standard","hentry","category-futurism"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/188317","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/709"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=188317"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/188317\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=188317"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=188317"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=188317"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}