{"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\/da\/2023\/12\/deepmind-makes-major-breakthrough-in-mathematical-machine-learning\/","title":{"rendered":"DeepMind f\u00e5r stort gennembrud inden for matematisk maskinl\u00e6ring"},"content":{"rendered":"<p><b>DeepMind-forskere afsl\u00f8rede \"FunSearch\", en ny metode, der udnytter store sprogmodeller (LLM'er) til at finde nye l\u00f8sninger inden for matematik og datalogi.\u00a0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Artiklen er udgivet i <a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06924-6\">Naturen<\/a>beskriver FunSearch, som kombinerer en pr\u00e6tr\u00e6net LLM, der f\u00e5r til opgave at finde opfindsomme kodebaserede l\u00f8sninger, og en automatiseret evaluator, der mindsker un\u00f8jagtigheder i probleml\u00f8sningsprocessen.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Det starter med at bruge LLM til at generere kreative l\u00f8sninger i form af computerkode. Derefter kontrollerer det automatiserede system disse l\u00f8sninger for at sikre, at de er korrekte og brugbare. Denne proces gentages, og l\u00f8sningerne forfines yderligere for hver cyklus, s\u00e5 de oprindelige ideer udvikles til ny, verificeret viden.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">FunSearch er kort sagt en brainstorming mellem en meget kreativ t\u00e6nker (LLM'eren) og en streng faktatjekker, der arbejder sammen om at finde innovative svar p\u00e5 komplekse problemer.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Denne iterative proces g\u00f8r det muligt for de f\u00f8rste ideer at udvikle sig til verificeret ny viden. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">I DeepMinds nuv\u00e6rende eksperimenter har FunSearch med succes givet ny indsigt i vigtige matematiske problemer, herunder cap set-problemet og bin-packing-problemet.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">H\u00e5ndtering af cap set-problemet<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">En af de prim\u00e6re succeser med <a href=\"https:\/\/www.nature.com\/articles\/d41586-023-04043-w\">FunSearch<\/a> er dens pr\u00e6station i cap set-problemet, en kompleks udfordring inden for matematisk teori.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Her er et dybere kig p\u00e5 dette problem:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Cap set-problemet er baseret p\u00e5 et h\u00f8jdimensionelt rum, hvor m\u00e5let er at finde det st\u00f8rst mulige s\u00e6t af punkter (et cap set), hvor ingen af de tre punkter ligger p\u00e5 en lige linje.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Udfordringen stammer fra den eksponentielle v\u00e6kst i mulige kombinationer, n\u00e5r rummets dimensionalitet \u00f8ges, hvilket g\u00f8r traditionelle beregningsmetoder ineffektive.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">FunSearchs gennembrud ligger i at generere programmer, der identificerede st\u00f8rre s\u00e6t af kasketter end tidligere kendt, hvilket demonstrerer en hidtil uset evne til at overg\u00e5 menneskedrevet matematisk viden.<\/span><\/li>\n<\/ul>\n<p>Et mere praktisk problem, der tackles af FunSearch, er bin packing-problemet, som s\u00f8ger optimale strategier til at pakke varer af forskellig st\u00f8rrelse i containere, en udfordring, der er relevant b\u00e5de i fysiske scenarier, som f.eks. organisering af skibscontainere, og i datalogi, som f.eks. organisering af databehandlingsopgaver med henblik p\u00e5 effektivitet.<\/p>\n<p>Traditionelle metoder g\u00e5r typisk ud p\u00e5 at pakke ting ned i det f\u00f8rste ledige rum eller i det rum, hvor der er mindst plads tilbage.<\/p>\n<p>Men FunSearch introducerede effektive tilgange, der strategisk undg\u00e5r at efterlade uudfyldelige sm\u00e5 huller.<\/p>\n<h2><span style=\"font-weight: 400;\">FunSearchs potentielle anvendelser<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Jordan Ellenberg, matematikprofessor ved University of Wisconsin-Madison og medforfatter til artiklen, understregede betydningen af FunSearch for fremtiden for interaktion mellem menneske og maskine inden for datalogi og matematik.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\"Det, jeg synes er virkelig sp\u00e6ndende, endnu mere end de specifikke resultater, vi fandt, er de udsigter, det giver for fremtiden for interaktion mellem menneske og maskine i matematik\", siger Ellenberg. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Han uddyber: \"I stedet for at generere en l\u00f8sning, genererer FunSearch et program, der finder l\u00f8sningen. En l\u00f8sning p\u00e5 et specifikt problem giver mig m\u00e5ske ingen indsigt i, hvordan man l\u00f8ser andre relaterede problemer.\"<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\"Men et program, der finder l\u00f8sningen, det er noget, et menneske kan l\u00e6se og fortolke og forh\u00e5bentlig derved generere ideer til det n\u00e6ste problem og det n\u00e6ste og det n\u00e6ste.\"<\/span><\/p>\n<p>Her er flere detaljer om, hvordan FunSearch g\u00e5r nye veje inden for maskinl\u00e6ring:<\/p>\n<ul>\n<li><strong>Kreativ probleml\u00f8sning med kodegenerering<\/strong>: I mods\u00e6tning til mange AI-systemer, der fokuserer p\u00e5 dataanalyse eller m\u00f8nstergenkendelse, er FunSearch specialiseret i at generere kreative l\u00f8sninger i computerkode. Det g\u00f8r den i stand til at tackle problemer, der ikke kun handler om at fortolke data, men ogs\u00e5 om at skabe nye m\u00e5der at l\u00f8se komplekse problemer p\u00e5.<\/li>\n<li><strong>Iterativ forfining<\/strong>: FunSearch anvender en iterativ proces, hvor l\u00f8sningerne l\u00f8bende forbedres. Det starter med en indledende id\u00e9 genereret af LLM, som derefter forfines gennem en r\u00e6kke evalueringer og forbedringer. Denne proces efterligner, hvordan mennesker ofte l\u00f8ser problemer - ved at starte med en grov id\u00e9 og forbedre den over tid.<\/li>\n<li><strong>Kreativitet og stringens<\/strong>: FunSearch bygger bro mellem kreativ probleml\u00f8sning og stringent evaluering. LLM bringer kreativitet og innovation og genererer nye og uudforskede l\u00f8sninger, mens den automatiske evaluator sikrer, at disse l\u00f8sninger er n\u00f8jagtige og levedygtige. Denne dobbelte tilgang er afg\u00f8rende inden for videnskabelige omr\u00e5der, hvor innovation skal kombineres med pr\u00e6cision.<\/li>\n<li><strong>Gennemsigtighed:<\/strong> Et af de unikke aspekter ved FunSearch er dens evne til at give gennemsigtige, fortolkelige resultater. I stedet for at give et endeligt svar genererer den et program, der beskriver, hvordan man n\u00e5ede frem til l\u00f8sningen. Denne gennemsigtighed er afg\u00f8rende for videnskabelig forskning, hvor det er lige s\u00e5 vigtigt at forst\u00e5 processen som resultatet.<\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Lederen af AI for videnskab hos DeepMind, Pushmeet Kohli, forklarede, hvordan FunSearch \u00e5bner op for en ny form for forskning i maskinl\u00e6ring: \"Det kommer faktisk til at \u00e6ndre den m\u00e5de, hvorp\u00e5 folk griber datalogi og algoritmisk opdagelse an. For f\u00f8rste gang ser vi, at kandidatstuderende ikke tager over, men helt sikkert hj\u00e6lper med at skubbe gr\u00e6nserne for, hvad der er muligt inden for algoritmer.\"<\/span><\/p>\n<p>Ved at blande LLM'ernes kreative evner med streng evaluering illustrerer FunSearch en ny tilgang til at tackle komplekse, \u00e5bne problemer. Dens praktiske anvendelser vil v\u00e6re fascinerende.<\/p>","protected":false},"excerpt":{"rendered":"<p>DeepMind-forskere har afsl\u00f8ret \"FunSearch\", en ny metode, der udnytter store sprogmodeller (LLM'er) til at finde nye l\u00f8sninger inden for matematik og datalogi.  Artiklen, der er offentliggjort i Nature, beskriver FunSearch, som kombinerer en forudtr\u00e6net LLM, der har til opgave at finde opfindsomme kodebaserede l\u00f8sninger, og en automatiseret evaluator, der mindsker un\u00f8jagtigheder i probleml\u00f8sningsprocessen.  Det starter med at bruge LLM'en til at generere kreative l\u00f8sninger i form af computerkode. Derefter kontrollerer det automatiserede system disse l\u00f8sninger for at sikre, at de er korrekte og brugbare. Denne proces gentages, og l\u00f8sningerne finpudses yderligere for hver cyklus, s\u00e5 de oprindelige ideer udvikles til ny, verificeret viden.  Enkelt sagt er FunSearch 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\" \/>\n<link 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