{"id":3419,"date":"2025-09-15T01:18:46","date_gmt":"2025-09-15T01:18:46","guid":{"rendered":"https:\/\/172-234-197-23.ip.linodeusercontent.com\/?page_id=3419"},"modified":"2025-09-15T01:18:46","modified_gmt":"2025-09-15T01:18:46","slug":"multi-subspace-faiss-with-entropy-gating-and-whitening-a-mode-aware-exemplar-search-approach","status":"publish","type":"page","link":"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/?page_id=3419","title":{"rendered":"Multi-Subspace FAISS with Entropy Gating and Whitening: A Mode-Aware Exemplar Search Approach"},"content":{"rendered":"\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/wp-content\/uploads\/2025\/09\/Multi-Subspace-FAISS-with-Entropy-Gating-and-Whitening-A-Mode-Aware-Exemplar-Search-Approach-Benjamin-J-Gilbert-College-of-the-Mainland-Robotic-Process-Automation.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of Multi-Subspace FAISS with Entropy Gating and Whitening A Mode-Aware Exemplar Search Approach Benjamin J Gilbert College of the Mainland Robotic Process Automation.\"><\/object><a id=\"wp-block-file--media-bfd22ab5-5a01-4f39-9078-264f45636bca\" href=\"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/wp-content\/uploads\/2025\/09\/Multi-Subspace-FAISS-with-Entropy-Gating-and-Whitening-A-Mode-Aware-Exemplar-Search-Approach-Benjamin-J-Gilbert-College-of-the-Mainland-Robotic-Process-Automation.pdf\">Multi-Subspace FAISS with Entropy Gating and Whitening A Mode-Aware Exemplar Search Approach Benjamin J Gilbert College of the Mainland Robotic Process Automation<\/a><a href=\"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/wp-content\/uploads\/2025\/09\/Multi-Subspace-FAISS-with-Entropy-Gating-and-Whitening-A-Mode-Aware-Exemplar-Search-Approach-Benjamin-J-Gilbert-College-of-the-Mainland-Robotic-Process-Automation.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-bfd22ab5-5a01-4f39-9078-264f45636bca\">Download<\/a><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">We present a mode-aware exemplar index that<br>learns K subspaces via Gaussian mixture models, K-means, or<br>Bayesian Gaussian mixture models, and routes queries using<br>soft cluster responsibilities with entropy gating and optional<br>per-subspace whitening. The approach demonstrates improved<br>retrieval accuracy through adaptive subspace selection while<br>maintaining computational efficiency. Goal-aware sparsity masks<br>are applied before scaling and whitening for both indexing and<br>search operations, enabling fine-grained feature control.<br>Index Terms\u2014Vector search, FAISS, subspace learning, mixture models, entropy gating, whitening, exemplar retrieval<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/mastodon.social\/@Bgilbert1984\"><img loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"791\" src=\"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/wp-content\/uploads\/2025\/09\/image-66.png\" alt=\"\" class=\"wp-image-3421\" srcset=\"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/wp-content\/uploads\/2025\/09\/image-66.png 768w, https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/wp-content\/uploads\/2025\/09\/image-66-291x300.png 291w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>We present a mode-aware exemplar index thatlearns K subspaces via Gaussian mixture models, K-means, orBayesian Gaussian mixture models, and routes queries usingsoft cluster responsibilities with entropy gating and optionalper-subspace whitening. The approach demonstrates improvedretrieval accuracy through adaptive subspace selection whilemaintaining computational efficiency. Goal-aware sparsity masksare applied before scaling and whitening for both indexing andsearch operations,&hellip;&nbsp;<\/p>\n","protected":false},"author":2,"featured_media":3421,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","footnotes":""},"class_list":["post-3419","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/index.php?rest_route=\/wp\/v2\/pages\/3419","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3419"}],"version-history":[{"count":0,"href":"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/index.php?rest_route=\/wp\/v2\/pages\/3419\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/index.php?rest_route=\/wp\/v2\/media\/3421"}],"wp:attachment":[{"href":"https:\/\/neurosphere-2.tail52f848.ts.net\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3419"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}