{"id":2924,"date":"2026-07-27T04:00:00","date_gmt":"2026-07-27T04:00:00","guid":{"rendered":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/"},"modified":"2026-07-27T17:59:10","modified_gmt":"2026-07-27T17:59:10","slug":"2607-22263","status":"publish","type":"post","link":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/","title":{"rendered":"Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages"},"content":{"rendered":"<p><br \/>\n<br \/>arXiv:2607.22263v1 Announce Sort: cross<br \/>\nSummary: A knowledge-driven inverse optimization drawback (DDIOP) is the issue of estimating the objective-function parameters (weights) that designate noticed optimal-solution knowledge, and it arises in lots of purposes, together with integer linear programming (ILP). It&#8217;s identified that, by making use of gradient-based optimization strategies to the suboptimality loss, the inverse optimization of ILPs will be solved precisely inside finitely many oracle iterations, and that the required variety of iterations is bounded as $T=O(1\/gamma(ell_{mathrm{sub}})^2)$ by way of a problem-dependent geometric fixed $gamma(ell_{mathrm{sub}})$. Nonetheless, no technique of bounding $gamma(ell_{mathrm{sub}})$ from beneath as a operate of the issue dimension has been out there, and therefore the variety of iterations couldn&#8217;t be given as an specific operate of the issue dimension. We subsequently give, when the ahead drawback is an integer linear program (ILP), the variety of iterations ample for projected subgradient descent utilized to the suboptimality loss to attain precise consistency with the noticed knowledge, as a completely specific operate of the variety of samples, the dimension of the options, the ranges of the options, and the construction of the constraint coefficient matrix, as much as polynomial elements within the primary constants (the diameter of the load set, the step-size parameter, and the Lipschitz fixed of the suboptimality loss).<br \/>\n<br \/><br \/>\n<br \/><a href=\"https:\/\/arxiv.org\/abs\/2607.22263\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>arXiv:2607.22263v1 Announce Sort: cross Summary: A knowledge-driven inverse optimization drawback (DDIOP) is the issue of estimating the objective-function parameters (weights) that designate noticed optimal-solution knowledge, and it arises in lots of purposes, together with integer linear programming (ILP). It&#8217;s identified that, by making use of gradient-based optimization strategies to the suboptimality loss, the inverse optimization [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2926,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png","fifu_image_alt":"","jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[],"jnews_override_bookmark_settings":[],"jnews_social_meta":[],"jnews_override_counter":[],"footnotes":""},"categories":[2],"tags":[272,3373,3372,3370,3375,3374,3371,2055,1691,3376],"class_list":["post-2924","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ai-research-breakthroughs","tag-complexity","tag-datadriven","tag-exact","tag-explicit","tag-integer","tag-inverse","tag-iteration","tag-linear","tag-optimization","tag-programs"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages - Future News 24<\/title>\n<meta name=\"description\" content=\"Abstract page for arXiv paper 2607.22263: Explicit Iteration Complexity of Exact Data-Driven Inverse Optimization for Integer Linear Programs\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages - Future News 24\" \/>\n<meta property=\"og:description\" content=\"Abstract page for arXiv paper 2607.22263: Explicit Iteration Complexity of Exact Data-Driven Inverse Optimization for Integer Linear Programs\" \/>\n<meta property=\"og:url\" content=\"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/\" \/>\n<meta property=\"og:site_name\" content=\"Future News 24\" \/>\n<meta property=\"article:published_time\" content=\"2026-07-27T04:00:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-07-27T17:59:10+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png\" \/>\n<meta name=\"author\" content=\"Future News 24\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Future News 24\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/\"},\"author\":{\"name\":\"Future News 24\",\"@id\":\"https:\\\/\\\/futurenews24.com\\\/#\\\/schema\\\/person\\\/cecad1bde21cfc357cf70128144d6c83\"},\"headline\":\"Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages\",\"datePublished\":\"2026-07-27T04:00:00+00:00\",\"dateModified\":\"2026-07-27T17:59:10+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/\"},\"wordCount\":240,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/futurenews24.com\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/arxiv.org\\\/static\\\/browse\\\/0.3.4\\\/images\\\/arxiv-logo-fb.png\",\"keywords\":[\"complexity\",\"DataDriven\",\"Exact\",\"Explicit\",\"Integer\",\"Inverse\",\"Iteration\",\"linear\",\"Optimization\",\"Programs\"],\"articleSection\":[\"AI Research &amp; Breakthroughs\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/\",\"url\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/\",\"name\":\"Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages - Future News 24\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/futurenews24.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/arxiv.org\\\/static\\\/browse\\\/0.3.4\\\/images\\\/arxiv-logo-fb.png\",\"datePublished\":\"2026-07-27T04:00:00+00:00\",\"dateModified\":\"2026-07-27T17:59:10+00:00\",\"description\":\"Abstract page for arXiv paper 2607.22263: Explicit Iteration Complexity of Exact Data-Driven Inverse Optimization for Integer Linear Programs\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/#primaryimage\",\"url\":\"http:\\\/\\\/arxiv.org\\\/static\\\/browse\\\/0.3.4\\\/images\\\/arxiv-logo-fb.png\",\"contentUrl\":\"http:\\\/\\\/arxiv.org\\\/static\\\/browse\\\/0.3.4\\\/images\\\/arxiv-logo-fb.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/2026\\\/07\\\/27\\\/2607-22263\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/futurenews24.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/futurenews24.com\\\/#website\",\"url\":\"https:\\\/\\\/futurenews24.com\\\/\",\"name\":\"Future News 24\",\"description\":\"The Smart Hub for AI and Next-Gen Innovation\",\"publisher\":{\"@id\":\"https:\\\/\\\/futurenews24.com\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/futurenews24.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/futurenews24.com\\\/#organization\",\"name\":\"Future News 24\",\"url\":\"https:\\\/\\\/futurenews24.com\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/futurenews24.com\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/futurenews24.com\\\/wp-content\\\/uploads\\\/2026\\\/06\\\/fn24-favicon.png\",\"contentUrl\":\"https:\\\/\\\/futurenews24.com\\\/wp-content\\\/uploads\\\/2026\\\/06\\\/fn24-favicon.png\",\"width\":250,\"height\":250,\"caption\":\"Future News 24\"},\"image\":{\"@id\":\"https:\\\/\\\/futurenews24.com\\\/#\\\/schema\\\/logo\\\/image\\\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/futurenews24.com\\\/#\\\/schema\\\/person\\\/cecad1bde21cfc357cf70128144d6c83\",\"name\":\"Future News 24\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/d57f07142d73cb5503ab2446ea7bc9ef3d0a5ba378d64a6157692311e42bf097?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/d57f07142d73cb5503ab2446ea7bc9ef3d0a5ba378d64a6157692311e42bf097?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/d57f07142d73cb5503ab2446ea7bc9ef3d0a5ba378d64a6157692311e42bf097?s=96&d=mm&r=g\",\"caption\":\"Future News 24\"},\"sameAs\":[\"https:\\\/\\\/futurenews24.com\"],\"url\":\"https:\\\/\\\/futurenews24.com\\\/index.php\\\/author\\\/mridulpahuja20\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages - Future News 24","description":"Abstract page for arXiv paper 2607.22263: Explicit Iteration Complexity of Exact Data-Driven Inverse Optimization for Integer Linear Programs","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/","og_locale":"en_US","og_type":"article","og_title":"Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages - Future News 24","og_description":"Abstract page for arXiv paper 2607.22263: Explicit Iteration Complexity of Exact Data-Driven Inverse Optimization for Integer Linear Programs","og_url":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/","og_site_name":"Future News 24","article_published_time":"2026-07-27T04:00:00+00:00","article_modified_time":"2026-07-27T17:59:10+00:00","og_image":[{"url":"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png","type":"","width":"","height":""}],"author":"Future News 24","twitter_card":"summary_large_image","twitter_image":"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png","twitter_misc":{"Written by":"Future News 24","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/#article","isPartOf":{"@id":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/"},"author":{"name":"Future News 24","@id":"https:\/\/futurenews24.com\/#\/schema\/person\/cecad1bde21cfc357cf70128144d6c83"},"headline":"Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages","datePublished":"2026-07-27T04:00:00+00:00","dateModified":"2026-07-27T17:59:10+00:00","mainEntityOfPage":{"@id":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/"},"wordCount":240,"commentCount":0,"publisher":{"@id":"https:\/\/futurenews24.com\/#organization"},"image":{"@id":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/#primaryimage"},"thumbnailUrl":"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png","keywords":["complexity","DataDriven","Exact","Explicit","Integer","Inverse","Iteration","linear","Optimization","Programs"],"articleSection":["AI Research &amp; Breakthroughs"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/","url":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/","name":"Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages - Future News 24","isPartOf":{"@id":"https:\/\/futurenews24.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/#primaryimage"},"image":{"@id":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/#primaryimage"},"thumbnailUrl":"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png","datePublished":"2026-07-27T04:00:00+00:00","dateModified":"2026-07-27T17:59:10+00:00","description":"Abstract page for arXiv paper 2607.22263: Explicit Iteration Complexity of Exact Data-Driven Inverse Optimization for Integer Linear Programs","breadcrumb":{"@id":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/#primaryimage","url":"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png","contentUrl":"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png"},{"@type":"BreadcrumbList","@id":"https:\/\/futurenews24.com\/index.php\/2026\/07\/27\/2607-22263\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/futurenews24.com\/"},{"@type":"ListItem","position":2,"name":"Specific Iteration Complexity of Actual Information-Pushed Inverse Optimization for Integer Linear Packages"}]},{"@type":"WebSite","@id":"https:\/\/futurenews24.com\/#website","url":"https:\/\/futurenews24.com\/","name":"Future News 24","description":"The Smart Hub for AI and Next-Gen Innovation","publisher":{"@id":"https:\/\/futurenews24.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/futurenews24.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/futurenews24.com\/#organization","name":"Future News 24","url":"https:\/\/futurenews24.com\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/futurenews24.com\/#\/schema\/logo\/image\/","url":"https:\/\/futurenews24.com\/wp-content\/uploads\/2026\/06\/fn24-favicon.png","contentUrl":"https:\/\/futurenews24.com\/wp-content\/uploads\/2026\/06\/fn24-favicon.png","width":250,"height":250,"caption":"Future News 24"},"image":{"@id":"https:\/\/futurenews24.com\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/futurenews24.com\/#\/schema\/person\/cecad1bde21cfc357cf70128144d6c83","name":"Future News 24","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/d57f07142d73cb5503ab2446ea7bc9ef3d0a5ba378d64a6157692311e42bf097?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/d57f07142d73cb5503ab2446ea7bc9ef3d0a5ba378d64a6157692311e42bf097?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d57f07142d73cb5503ab2446ea7bc9ef3d0a5ba378d64a6157692311e42bf097?s=96&d=mm&r=g","caption":"Future News 24"},"sameAs":["https:\/\/futurenews24.com"],"url":"https:\/\/futurenews24.com\/index.php\/author\/mridulpahuja20\/"}]}},"_links":{"self":[{"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/posts\/2924","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/comments?post=2924"}],"version-history":[{"count":1,"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/posts\/2924\/revisions"}],"predecessor-version":[{"id":2925,"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/posts\/2924\/revisions\/2925"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/media\/2926"}],"wp:attachment":[{"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/media?parent=2924"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/categories?post=2924"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/futurenews24.com\/index.php\/wp-json\/wp\/v2\/tags?post=2924"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}