{"id":8340,"date":"2023-12-15T20:06:58","date_gmt":"2023-12-15T20:06:58","guid":{"rendered":"https:\/\/dailyai.com\/?p=8340"},"modified":"2023-12-16T12:09:40","modified_gmt":"2023-12-16T12:09:40","slug":"deepmind-makes-major-breakthrough-in-mathematical-machine-learning","status":"publish","type":"post","link":"https:\/\/dailyai.com\/sv\/2023\/12\/deepmind-makes-major-breakthrough-in-mathematical-machine-learning\/","title":{"rendered":"DeepMind g\u00f6r stort genombrott inom matematisk maskininl\u00e4rning"},"content":{"rendered":"<p><b>DeepMind-forskare presenterade \"FunSearch\", en ny metod som utnyttjar stora spr\u00e5kmodeller (LLM) f\u00f6r att hitta nya l\u00f6sningar inom matematik och datavetenskap.\u00a0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Uppsatsen, som publicerades i <a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06924-6\">Natur<\/a>beskriver FunSearch, som kombinerar en f\u00f6rtr\u00e4nad LLM som f\u00e5r i uppgift att hitta uppfinningsrika kodbaserade l\u00f6sningar med en automatiserad utv\u00e4rderare som minskar felaktigheter i probleml\u00f6sningsprocessen.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Det b\u00f6rjar med att LLM anv\u00e4nds f\u00f6r att generera kreativa l\u00f6sningar i form av datorkod. D\u00e4refter kontrollerar det automatiserade systemet dessa l\u00f6sningar f\u00f6r att s\u00e4kerst\u00e4lla att de \u00e4r korrekta och anv\u00e4ndbara. Denna process upprepas och l\u00f6sningarna f\u00f6rfinas ytterligare f\u00f6r varje cykel, varvid de ursprungliga id\u00e9erna utvecklas till ny, verifierad kunskap.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Enkelt uttryckt \u00e4r FunSearch som en brainstorming mellan en mycket kreativ t\u00e4nkare (LLM) och en strikt faktagranskare, som arbetar tillsammans f\u00f6r att hitta innovativa svar p\u00e5 komplexa problem.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Denna iterativa process g\u00f6r det m\u00f6jligt f\u00f6r initiala id\u00e9er att utvecklas till verifierad ny kunskap. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">I DeepMinds nuvarande experiment har FunSearch framg\u00e5ngsrikt gett nya insikter i viktiga matematiska problem, inklusive cap set-problemet och bin-packing-problemet.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Hantering av cap set-problemet<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">En av de fr\u00e4msta framg\u00e5ngarna med <a href=\"https:\/\/www.nature.com\/articles\/d41586-023-04043-w\">FunSearch<\/a> \u00e4r dess prestanda i cap set-problemet, en komplex utmaning inom matematisk teori.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">H\u00e4r \u00e4r en djupare titt p\u00e5 detta problem:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Cap set-problemet \u00e4r baserat p\u00e5 ett h\u00f6gdimensionellt rum, d\u00e4r m\u00e5let \u00e4r att hitta den st\u00f6rsta m\u00f6jliga upps\u00e4ttningen punkter (en cap set) d\u00e4r inga tre punkter ligger i en rak linje.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Utmaningen ligger i den exponentiella tillv\u00e4xten av m\u00f6jliga kombinationer i takt med att utrymmets dimensionalitet \u00f6kar, vilket g\u00f6r att traditionella ber\u00e4kningsmetoder blir ineffektiva.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">FunSearchs genombrott ligger i att generera program som identifierade st\u00f6rre cap-set \u00e4n vad som tidigare varit k\u00e4nt, vilket visar p\u00e5 en o\u00f6vertr\u00e4ffad f\u00f6rm\u00e5ga att \u00f6vertr\u00e4ffa m\u00e4nskligt driven matematisk kunskap.<\/span><\/li>\n<\/ul>\n<p>Ett mer praktiskt problem som hanteras av FunSearch \u00e4r bin packing-problemet, som s\u00f6ker optimala strategier f\u00f6r att packa f\u00f6rem\u00e5l av varierande storlek i containrar, en utmaning som \u00e4r relevant b\u00e5de i fysiska scenarier, som att organisera fraktcontainrar, och inom datavetenskap, som att organisera ber\u00e4kningsuppgifter f\u00f6r effektivitet.<\/p>\n<p>Traditionella metoder inneb\u00e4r vanligtvis att f\u00f6rem\u00e5len packas i det f\u00f6rsta lediga utrymmet eller i det utrymme d\u00e4r det finns minst utrymme kvar.<\/p>\n<p>FunSearch introducerade dock effektiva metoder som strategiskt undviker att l\u00e4mna ofyllbara sm\u00e5 luckor.<\/p>\n<h2><span style=\"font-weight: 400;\">FunSearchs potentiella anv\u00e4ndningsomr\u00e5den<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Jordan Ellenberg, professor i matematik vid University of Wisconsin-Madison och medf\u00f6rfattare till artikeln, betonade FunSearchs betydelse f\u00f6r framtiden f\u00f6r interaktion mellan m\u00e4nniska och maskin inom datavetenskap och matematik.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\"Vad jag tycker \u00e4r riktigt sp\u00e4nnande, till och med mer \u00e4n de specifika resultat vi hittade, \u00e4r de utsikter som det antyder f\u00f6r framtiden f\u00f6r interaktion mellan m\u00e4nniska och maskin i matematik\", s\u00e4ger Ellenberg. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Han fortsatte: \"Ist\u00e4llet f\u00f6r att generera en l\u00f6sning genererar FunSearch ett program som hittar l\u00f6sningen. En l\u00f6sning p\u00e5 ett specifikt problem kanske inte ger mig n\u00e5gon insikt i hur man l\u00f6ser andra relaterade problem.\"<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\"Men ett program som hittar l\u00f6sningen, det \u00e4r n\u00e5got som en m\u00e4nniska kan l\u00e4sa och tolka och f\u00f6rhoppningsvis d\u00e4rigenom generera id\u00e9er f\u00f6r n\u00e4sta problem och n\u00e4sta och n\u00e4sta.\"<\/span><\/p>\n<p>H\u00e4r kan du l\u00e4sa mer om hur FunSearch bryter ny mark inom maskininl\u00e4rning:<\/p>\n<ul>\n<li><strong>Kreativ probleml\u00f6sning med kodgenerering<\/strong>: Till skillnad fr\u00e5n m\u00e5nga AI-system som fokuserar p\u00e5 dataanalys eller m\u00f6nsterigenk\u00e4nning \u00e4r FunSearch specialiserat p\u00e5 att generera kreativa l\u00f6sningar i datorkod. Det g\u00f6r det m\u00f6jligt att ta itu med problem som inte bara handlar om att tolka data utan ocks\u00e5 om att skapa nya s\u00e4tt att l\u00f6sa komplexa fr\u00e5gor.<\/li>\n<li><strong>Iterativ f\u00f6rfining<\/strong>: FunSearch anv\u00e4nder en iterativ process f\u00f6r att kontinuerligt f\u00f6rb\u00e4ttra l\u00f6sningarna. Det b\u00f6rjar med en f\u00f6rsta id\u00e9 som genereras av LLM, som sedan f\u00f6rfinas genom en serie utv\u00e4rderingar och f\u00f6rb\u00e4ttringar. Denna process efterliknar hur m\u00e4nniskor ofta l\u00f6ser problem - genom att b\u00f6rja med en grov id\u00e9 och f\u00f6rb\u00e4ttra den \u00f6ver tid.<\/li>\n<li><strong>Kreativitet och noggrannhet<\/strong>: FunSearch \u00f6verbryggar klyftan mellan kreativ probleml\u00f6sning och rigor\u00f6s utv\u00e4rdering. LLM bidrar med kreativitet och innovation och genererar nya och outforskade l\u00f6sningar, medan den automatiska utv\u00e4rderaren s\u00e4kerst\u00e4ller att dessa l\u00f6sningar \u00e4r korrekta och genomf\u00f6rbara. Denna dubbla strategi \u00e4r avg\u00f6rande inom vetenskapliga omr\u00e5den d\u00e4r innovation m\u00e5ste kombineras med precision.<\/li>\n<li><strong>\u00d6ppenhet och insyn:<\/strong> En av de unika aspekterna med FunSearch \u00e4r dess f\u00f6rm\u00e5ga att ge transparenta och tolkningsbara resultat. Ist\u00e4llet f\u00f6r att ge ett slutgiltigt svar genereras ett program som beskriver hur man kom fram till l\u00f6sningen. Denna transparens \u00e4r viktig f\u00f6r vetenskaplig forskning, d\u00e4r det \u00e4r lika viktigt att f\u00f6rst\u00e5 processen som resultatet.<\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Pushmeet Kohli, chef f\u00f6r AI for science p\u00e5 DeepMind, f\u00f6rklarade hur FunSearch \u00f6ppnar upp f\u00f6r en ny form av forskning inom maskininl\u00e4rning: \"Det h\u00e4r kommer faktiskt att f\u00f6r\u00e4ndra hur m\u00e4nniskor n\u00e4rmar sig datavetenskap och algoritmiska uppt\u00e4ckter. F\u00f6r f\u00f6rsta g\u00e5ngen ser vi att LLM inte tar \u00f6ver, men definitivt hj\u00e4lper till att flytta fram gr\u00e4nserna f\u00f6r vad som \u00e4r m\u00f6jligt i algoritmer.\"<\/span><\/p>\n<p>Genom att kombinera LLM:s kreativa f\u00f6rm\u00e5ga med rigor\u00f6s utv\u00e4rdering illustrerar FunSearch ett nytt s\u00e4tt att ta itu med komplexa \u00f6ppna problem. Dess praktiska anv\u00e4ndningsomr\u00e5den kommer att bli fascinerande.<\/p>","protected":false},"excerpt":{"rendered":"<p>DeepMind-forskare presenterade \"FunSearch\", en ny metod som utnyttjar stora spr\u00e5kmodeller (LLM) f\u00f6r att hitta nya l\u00f6sningar inom matematik och datavetenskap.  I artikeln, som publicerades i Nature, beskrivs FunSearch, som kombinerar en f\u00f6rtr\u00e4nad LLM som f\u00e5r i uppgift att ta fram uppfinningsrika kodbaserade l\u00f6sningar och en automatiserad utv\u00e4rderare som minskar felaktigheter i probleml\u00f6sningsprocessen.  I f\u00f6rsta hand anv\u00e4nds LLM f\u00f6r att generera kreativa l\u00f6sningar i form av datorkod. D\u00e4refter kontrollerar det automatiserade systemet att l\u00f6sningarna \u00e4r korrekta och anv\u00e4ndbara. Processen upprepas och l\u00f6sningarna f\u00f6rfinas ytterligare f\u00f6r varje cykel, varvid de ursprungliga id\u00e9erna utvecklas till ny, verifierad kunskap.  Enkelt uttryckt kan FunSearch beskrivas som<\/p>","protected":false},"author":2,"featured_media":5647,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[84],"tags":[147,102,105],"class_list":["post-8340","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-industry","tag-deepmind","tag-google","tag-machine-learning"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>DeepMind makes major breakthrough in mathematical machine learning | DailyAI<\/title>\n<meta name=\"description\" content=\"DeepMind researchers unveiled &quot;FunSearch,&quot; a novel method leveraging Large Language Models (LLMs) to unearth new mathematics and computer science solutions.\u00a0\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" 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