{"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\/nb\/2023\/12\/deepmind-makes-major-breakthrough-in-mathematical-machine-learning\/","title":{"rendered":"DeepMind gj\u00f8r et stort gjennombrudd innen matematisk maskinl\u00e6ring"},"content":{"rendered":"<p><b>DeepMind-forskere presenterte \"FunSearch\", en ny metode som utnytter store spr\u00e5kmodeller (LLM) for \u00e5 finne nye l\u00f8sninger innen matematikk og informatikk.\u00a0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Artikkelen, som ble publisert i <a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06924-6\">Natur<\/a>beskriver FunSearch, som kombinerer en ferdig oppl\u00e6rt LLM som f\u00e5r i oppgave \u00e5 finne oppfinnsomme kodebaserte l\u00f8sninger, med en automatisert evaluator som reduserer un\u00f8yaktigheter i probleml\u00f8sningsprosessen.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">F\u00f8rst brukes LLM til \u00e5 generere kreative l\u00f8sninger i form av datakode. Deretter kontrollerer det automatiserte systemet disse l\u00f8sningene for \u00e5 sikre at de er korrekte og nyttige. Denne prosessen gjentas, og for hver syklus forfines l\u00f8sningene ytterligere, slik at de opprinnelige ideene utvikles til ny, verifisert kunnskap.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">FunSearch er enkelt sagt som en id\u00e9dugnad mellom en sv\u00e6rt kreativ tenker (LLM-en) og en streng faktasjekker, som jobber sammen for \u00e5 finne innovative svar p\u00e5 komplekse problemer.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Denne iterative prosessen gj\u00f8r det mulig \u00e5 utvikle de f\u00f8rste ideene til ny, verifisert kunnskap. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">I DeepMinds n\u00e5v\u00e6rende eksperimenter har FunSearch gitt ny innsikt i viktige matematiske problemer, deriblant cap set-problemet og bin-packing-problemet.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">L\u00f8sning p\u00e5 problemet med taksett<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">En av de st\u00f8rste suksessene til <a href=\"https:\/\/www.nature.com\/articles\/d41586-023-04043-w\">FunSearch<\/a> er dens prestasjoner i cap set-problemet, en kompleks utfordring innen matematisk teori.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Her ser vi n\u00e6rmere p\u00e5 dette problemet:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Cap set-problemet er basert p\u00e5 et h\u00f8ydimensjonalt rom, der m\u00e5let er \u00e5 finne det st\u00f8rst mulige settet av punkter (et cap set) der ingen av de tre punktene ligger p\u00e5 en rett linje.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Utfordringen skyldes den eksponentielle veksten i antall mulige kombinasjoner etter hvert som dimensjonaliteten i rommet \u00f8ker, noe som gj\u00f8r tradisjonelle beregningsmetoder ineffektive.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">FunSearchs gjennombrudd ligger i \u00e5 generere programmer som identifiserte st\u00f8rre sett med hetter enn tidligere kjent, noe som demonstrerer en enest\u00e5ende evne til \u00e5 overg\u00e5 menneskedrevet matematisk kunnskap.<\/span><\/li>\n<\/ul>\n<p>Et mer praktisk problem som FunSearch tar for seg, er \"bin packing\"-problemet, som s\u00f8ker optimale strategier for \u00e5 pakke gjenstander av ulik st\u00f8rrelse i beholdere, en utfordring som er relevant b\u00e5de i fysiske scenarier, som organisering av fraktcontainere, og i datavitenskap, som organisering av databehandlingsoppgaver for \u00e5 oppn\u00e5 effektivitet.<\/p>\n<p>Tradisjonelle metoder inneb\u00e6rer vanligvis at man pakker gjenstander i det f\u00f8rste ledige rommet eller i det rommet hvor det er minst plass igjen.<\/p>\n<p>FunSearch introduserte imidlertid effektive tiln\u00e6rminger som strategisk unng\u00e5r \u00e5 etterlate sm\u00e5 hull som ikke kan fylles ut.<\/p>\n<h2><span style=\"font-weight: 400;\">FunSearchs potensielle bruksomr\u00e5der<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Jordan Ellenberg, matematikkprofessor ved University of Wisconsin-Madison og medforfatter av artikkelen, la vekt p\u00e5 FunSearchs betydning for fremtidens interaksjon mellom menneske og maskin innen informatikk og matematikk.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\"Det jeg synes er veldig spennende, enda mer enn de spesifikke resultatene vi fant, er utsiktene det gir for fremtidens interaksjon mellom menneske og maskin i matematikk\", sier Ellenberg. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Han utdyper: \"I stedet for \u00e5 generere en l\u00f8sning, genererer FunSearch et program som finner l\u00f8sningen. En l\u00f8sning p\u00e5 et spesifikt problem gir meg kanskje ingen innsikt i hvordan jeg kan l\u00f8se andre beslektede problemer.\"<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\"Men et program som finner l\u00f8sningen, det er noe et menneske kan lese og tolke, og forh\u00e5pentligvis kan det generere ideer til neste problem, og det neste, og det neste, og det neste.\"<\/span><\/p>\n<p>Her kan du lese mer om hvordan FunSearch bryter ny mark innen maskinl\u00e6ring:<\/p>\n<ul>\n<li><strong>Kreativ probleml\u00f8sning med kodegenerering<\/strong>: I motsetning til mange AI-systemer som fokuserer p\u00e5 dataanalyse eller m\u00f8nstergjenkjenning, spesialiserer FunSearch seg p\u00e5 \u00e5 generere kreative l\u00f8sninger i datakode. Dette gj\u00f8r det mulig \u00e5 takle problemer som ikke bare handler om \u00e5 tolke data, men ogs\u00e5 om \u00e5 skape nye m\u00e5ter \u00e5 l\u00f8se komplekse problemer p\u00e5.<\/li>\n<li><strong>Iterativ foredling<\/strong>: FunSearch benytter en iterativ prosess for kontinuerlig forbedring av l\u00f8sningene. Den starter med en f\u00f8rste id\u00e9 generert av LLM, som deretter forfines gjennom en rekke evalueringer og forbedringer. Denne prosessen etterligner hvordan mennesker ofte l\u00f8ser problemer - man starter med en grov id\u00e9 og forbedrer den over tid.<\/li>\n<li><strong>Kreativitet og stringens<\/strong>: FunSearch bygger bro mellom kreativ probleml\u00f8sning og streng evaluering. LLM bidrar med kreativitet og innovasjon og genererer nye og uutforskede l\u00f8sninger, mens den automatiserte evalueringen sikrer at disse l\u00f8sningene er n\u00f8yaktige og levedyktige. Denne tosidige tiln\u00e6rmingen er avgj\u00f8rende p\u00e5 vitenskapelige felt der innovasjon m\u00e5 kombineres med presisjon.<\/li>\n<li><strong>\u00c5penhet:<\/strong> Et av de unike aspektene ved FunSearch er at det gir transparente og tolkbare resultater. I stedet for \u00e5 gi et endelig svar, genereres det et program som beskriver hvordan man kom frem til l\u00f8sningen. Denne \u00e5penheten er avgj\u00f8rende for vitenskapelig forskning, der det \u00e5 forst\u00e5 prosessen er like viktig som resultatet.<\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Pushmeet Kohli, leder for AI for vitenskap hos DeepMind, forklarte hvordan FunSearch \u00e5pner opp for en ny form for maskinl\u00e6ringsforskning: \"Dette kommer faktisk til \u00e5 endre hvordan folk tiln\u00e6rmer seg datavitenskap og algoritmisk forskning. For f\u00f8rste gang ser vi at LLM-er ikke tar over, men definitivt bidrar til \u00e5 flytte grensene for hva som er mulig innen algoritmer.\"<\/span><\/p>\n<p>FunSearch kombinerer LLM-forskernes kreative evner med grundig evaluering, og illustrerer en ny tiln\u00e6rming til \u00e5 l\u00f8se komplekse, \u00e5pne problemer. Den praktiske bruken av FunSearch vil v\u00e6re fascinerende.<\/p>","protected":false},"excerpt":{"rendered":"<p>DeepMind-forskere har avduket \"FunSearch\", en ny metode som utnytter store spr\u00e5kmodeller (Large Language Models, LLM) for \u00e5 finne nye l\u00f8sninger innen matematikk og informatikk.  Artikkelen, som er publisert i Nature, beskriver FunSearch, som kombinerer en forh\u00e5ndstrenet LLM som f\u00e5r i oppgave \u00e5 finne oppfinnsomme kodebaserte l\u00f8sninger, med en automatisert evaluator som reduserer un\u00f8yaktigheter i probleml\u00f8sningsprosessen.  F\u00f8rst brukes LLM til \u00e5 generere kreative l\u00f8sninger i form av datakode. Deretter kontrollerer det automatiserte systemet disse l\u00f8sningene for \u00e5 sikre at de er korrekte og nyttige. Denne prosessen gjentas, og for hver syklus forfines l\u00f8sningene ytterligere, slik at de opprinnelige ideene utvikles til ny, verifisert kunnskap.  FunSearch er enkelt sagt 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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