{"id":9347,"date":"2024-01-18T17:24:24","date_gmt":"2024-01-18T17:24:24","guid":{"rendered":"https:\/\/dailyai.com\/?p=9347"},"modified":"2024-01-19T10:57:11","modified_gmt":"2024-01-19T10:57:11","slug":"alphageometry-ais-landmark-achievement-in-geometry","status":"publish","type":"post","link":"https:\/\/dailyai.com\/sv\/2024\/01\/alphageometry-ais-landmark-achievement-in-geometry\/","title":{"rendered":"AlphaGeometry: AI:s banbrytande prestation inom geometri"},"content":{"rendered":"<p><b>DeepMind-forskare har utvecklat AlphaGeometry, ett AI-system med en aldrig tidigare sk\u00e5dad f\u00f6rm\u00e5ga att l\u00f6sa geometriska problem p\u00e5 olympiadniv\u00e5.\u00a0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Olympiadmatematikproblem \u00e4r komplexa matematiska problem som vanligtvis st\u00e4lls i internationella matematikt\u00e4vlingar, till exempel den internationella matematikolympiaden (IMO). <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Dessa problem kr\u00e4ver en djup f\u00f6rst\u00e5else f\u00f6r matematiska begrepp, kreativ probleml\u00f6sningsf\u00f6rm\u00e5ga och rigor\u00f6sa logiska resonemang inom omr\u00e5den som algebra, kombinatorik och geometri, vilket den h\u00e4r forskningen \u00e4r inriktad p\u00e5.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Den <\/span><a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06747-5\"><span style=\"font-weight: 400;\">DeepMind<\/span><\/a> studie<span style=\"font-weight: 400;\">som publicerats i Nature, utg\u00f6r en milstolpe i utvecklingen av AI:s f\u00f6rm\u00e5ga att l\u00f6sa matematiska problem.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Modellsystemet, som kallas AlphaGeometry, l\u00f6ste framg\u00e5ngsrikt 25 av 30 problem fr\u00e5n den internationella matematikolympiaden, vilket \u00e4r en enorm f\u00f6rb\u00e4ttring j\u00e4mf\u00f6rt med det tidigare AI-systemet, som bara l\u00f6ste 10 problem.\u00a0<\/span><\/p>\n<figure id=\"attachment_9349\" aria-describedby=\"caption-attachment-9349\" style=\"width: 1024px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-9349 size-large\" src=\"https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-1024x586.png\" alt=\"\" width=\"1024\" height=\"586\" srcset=\"https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-1024x586.png 1024w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-300x172.png 300w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-768x439.png 768w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-1536x879.png 1536w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-370x212.png 370w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-800x458.png 800w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-20x11.png 20w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-740x423.png 740w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-1600x915.png 1600w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry-84x48.png 84w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/AlphaGeometry.png 1926w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption id=\"caption-attachment-9349\" class=\"wp-caption-text\">AlphaGeometry krossade tidigare AI-modeller men ligger strax bakom toppmatematiker. K\u00e4lla: <a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06747-5\">DeepMind via naturen<\/a>.<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">Det speglar n\u00e4stan prestationen hos m\u00e4nskliga guldmedalj\u00f6rer, som i genomsnitt l\u00f6ste 25,9 problem - vilket \u00e4r en ganska anm\u00e4rkningsv\u00e4rd nick till f\u00e4rdigheterna i m\u00e4nskliga olympiader. Studief\u00f6rfattaren Trieu H. Trinh beskriver papperet nedan.<br \/>\n<\/span><\/p>\n<p><iframe loading=\"lazy\" title=\"AlfaGeometri\" width=\"1080\" height=\"608\" src=\"https:\/\/www.youtube.com\/embed\/TuZhU1CiC0k?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p><span style=\"font-weight: 400;\">F\u00f6r att uppn\u00e5 detta kombinerar AI-systemet en neural spr\u00e5kmodell med en symbolisk deduktionsmotor. Den neurala modellen f\u00f6resl\u00e5r snabbt potentiella konstruktioner och den symboliska motorn drar noggrant slutsatser om l\u00f6sningar. Detta dubbla tillv\u00e4gag\u00e5ngss\u00e4tt underl\u00e4ttar en balans mellan snabbhet och noggrannhet i probleml\u00f6sningen.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">En nyckel till AlphaGeometrys framg\u00e5ng \u00e4r genereringen av 100 miljoner unika syntetiska tr\u00e4ningsexempel. Detta tillv\u00e4gag\u00e5ngss\u00e4tt gjorde det m\u00f6jligt f\u00f6r AI att tr\u00e4na utan m\u00e4nsklig input, vilket \u00f6vervann en stor dataflaskhals.<\/span><\/p>\n<figure id=\"attachment_9348\" aria-describedby=\"caption-attachment-9348\" style=\"width: 1024px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-9348 size-large\" src=\"https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-1024x508.png\" alt=\"AI DeepMind\" width=\"1024\" height=\"508\" srcset=\"https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-1024x508.png 1024w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-300x149.png 300w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-768x381.png 768w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-1536x763.png 1536w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-370x184.png 370w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-800x397.png 800w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-740x367.png 740w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-20x10.png 20w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-1600x794.png 1600w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata-97x48.png 97w, https:\/\/dailyai.com\/wp-content\/uploads\/2024\/01\/trainingdata.png 1821w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption id=\"caption-attachment-9348\" class=\"wp-caption-text\">Exempel p\u00e5 syntetiska data som anv\u00e4nts f\u00f6r att tr\u00e4na AlphaGeometry. K\u00e4llor: <a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06747-5\">DeepMind via naturen<\/a>.<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">Fields-medalj\u00f6ren och IMO-guldmedalj\u00f6ren Ng\u00f4 B\u1ea3o Ch\u00e2u uttryckte sin f\u00f6rv\u00e5ning \u00f6ver denna prestation, <\/span><a href=\"https:\/\/deepmind.google\/discover\/blog\/alphageometry-an-olympiad-level-ai-system-for-geometry\/\"><span style=\"font-weight: 400;\">som anges i ett Google-blogginl\u00e4gg<\/span><\/a><span style=\"font-weight: 400;\">\"Jag tycker att det \u00e4r helt logiskt att AI-forskare nu f\u00f6rs\u00f6ker sig p\u00e5 IMO:s geometriproblem f\u00f6rst, eftersom det fungerar lite som schack att hitta l\u00f6sningar p\u00e5 dem, eftersom vi har ett ganska litet antal vettiga drag i varje steg. Men jag tycker fortfarande att det \u00e4r fantastiskt att de kunde f\u00e5 det att fungera. Det \u00e4r en imponerande prestation.\"<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Evan Chen, en matematikcoach och tidigare guldmedalj\u00f6r i Olympiaden, ber\u00f6mde ocks\u00e5 AI: \"AlphaGeometrys resultat \u00e4r imponerande eftersom det \u00e4r b\u00e5de verifierbart och rent ... Det anv\u00e4nder klassiska geometriregler med vinklar och liknande trianglar precis som eleverna g\u00f6r.\"<\/span><\/p>\n<p>Kolla in Chens video om olympiaden nedan f\u00f6r att f\u00e5 en k\u00e4nsla av hur uppr\u00f6rande sv\u00e5ra dessa problem \u00e4r.<\/p>\n<p><iframe loading=\"lazy\" title=\"Avsnitt 1 med Evan Chen | MIN v\u00e4g till Olympiaden 2021\" width=\"1080\" height=\"608\" src=\"https:\/\/www.youtube.com\/embed\/JfTOfFOtiwk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p><span style=\"font-weight: 400;\">AlphaGeometrys f\u00f6rm\u00e5ga att l\u00f6sa komplexa geometriska problem p\u00e5 olympiadniv\u00e5 visar inte bara p\u00e5 AI:s v\u00e4xande f\u00f6rm\u00e5ga att resonera logiskt utan \u00f6ppnar ocks\u00e5 nya m\u00f6jligheter inom matematik och AI-utveckling.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Det bidrar till flera banbrytande forskningsresultat fr\u00e5n DeepMind, bland annat <\/span><a href=\"https:\/\/dailyai.com\/sv\/2023\/11\/deepminds-gnome-system-discovered-millions-of-new-materials\/\"><span style=\"font-weight: 400;\">GNoME<\/span><\/a><span style=\"font-weight: 400;\">, <\/span><a href=\"https:\/\/dailyai.com\/sv\/2023\/07\/googles-ai-turns-vision-language-into-robotic-actions\/\"><span style=\"font-weight: 400;\">RT-2<\/span><\/a><span style=\"font-weight: 400;\">, <\/span><a href=\"https:\/\/dailyai.com\/sv\/2024\/01\/google-releases-a-suite-of-advanced-robotic-tools\/\"><span style=\"font-weight: 400;\">AutoRT<\/span><\/a><span style=\"font-weight: 400;\">, <\/span><a href=\"https:\/\/dailyai.com\/sv\/2023\/12\/deepmind-makes-major-breakthrough-in-mathematical-machine-learning\/\"><span style=\"font-weight: 400;\">FunSearch<\/span><\/a><span style=\"font-weight: 400;\">, <\/span><a href=\"https:\/\/dailyai.com\/sv\/2023\/09\/deepminds-alphamissense-accelerates-the-hunt-for-disease-causing-genes\/\"><span style=\"font-weight: 400;\">AlphaMissense<\/span><\/a><span style=\"font-weight: 400;\">, och <\/span><a href=\"https:\/\/dailyai.com\/sv\/2023\/09\/google-turns-25-will-ai-herald-another-25-years-of-success\/\"><span style=\"font-weight: 400;\">AlphaFold<\/span><\/a><span style=\"font-weight: 400;\">f\u00f6r att bara n\u00e4mna n\u00e5gra i f\u00e4rskt minne.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Mer om studien<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">H\u00e4r \u00e4r hur AlphaGeometry fungerar i fem destillerade steg:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Syntetisk generering av teorem<\/b><span style=\"font-weight: 400;\">: AlphaGeometry b\u00f6rjar med att generera en massiv upps\u00e4ttning slumpm\u00e4ssiga geometriska problem. Detta g\u00f6rs genom att skapa en m\u00e4ngd olika geometriska p\u00e5st\u00e5enden, som \"punkt A ligger p\u00e5 linjesegment BC\" eller \"vinkel XYZ \u00e4r 45 grader\". Dessa p\u00e5st\u00e5enden utg\u00f6r premisserna eller utg\u00e5ngspunkterna f\u00f6r potentiella teorem.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Symbolisk deduktion<\/b><span style=\"font-weight: 400;\">: Med hj\u00e4lp av dessa premisser b\u00f6rjar AI:ns symboliska deduktionsmotor att resonera sig fram till slutsatser. Den till\u00e4mpar geometriska regler och logik f\u00f6r att h\u00e4rleda nya p\u00e5st\u00e5enden fr\u00e5n de givna premisserna, och utforskar systematiskt olika kombinationer och relationer.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Skapa hj\u00e4lpkonstruktioner<\/b><span style=\"font-weight: 400;\">: F\u00f6r att l\u00f6sa komplexa geometriska problem m\u00e5ste man ofta inf\u00f6ra nya element (t.ex. ytterligare punkter eller linjer) som inte ing\u00e5r i den ursprungliga uppst\u00e4llningen. Dessa kallas hj\u00e4lpkonstruktioner. AlphaGeometrys motor \u00e4r utformad f\u00f6r att identifiera n\u00e4r och vilka hj\u00e4lpkonstruktioner som beh\u00f6vs f\u00f6r att g\u00e5 vidare mot en l\u00f6sning.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Tr\u00e4ning av spr\u00e5kmodellen<\/b><span style=\"font-weight: 400;\">: En transformatorbaserad spr\u00e5kmodell tr\u00e4nas p\u00e5 de data som genereras fr\u00e5n ovanst\u00e5ende steg. Denna modell l\u00e4r sig att f\u00f6rst\u00e5 m\u00f6nster och logik i geometriska resonemang. Den blir b\u00e4ttre p\u00e5 att f\u00f6ruts\u00e4ga vilka hj\u00e4lpkonstruktioner eller steg som kan beh\u00f6vas f\u00f6r att l\u00f6sa liknande problem i framtiden.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Iterativ probleml\u00f6sning<\/b><span style=\"font-weight: 400;\">: I det sista steget tar AlphaGeometry itu med nya geometriska problem genom att kombinera spr\u00e5kmodellens prediktiva kraft med den logiska noggrannheten hos dess symboliska deduktionsmotor. AI f\u00f6resl\u00e5r hj\u00e4lpkonstruktioner och kontrollerar om de leder till en l\u00f6sning, och upprepar denna process tills den hittar giltiga bevis eller utt\u00f6mmer sina alternativ.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">DeepMinds aptit p\u00e5 att l\u00f6sa forskningsproblem inom maskininl\u00e4rning har verkligen bara \u00f6kat, och detta illustrerar \u00e5terigen AI:s utvecklingstakt. Men l\u00e5t oss inte gl\u00f6mma att m\u00e4nskliga matematikolympiader fortfarande har en f\u00f6rdel - bara.<\/span><\/p>","protected":false},"excerpt":{"rendered":"<p>DeepMind-forskare har utvecklat AlphaGeometry, ett AI-system med en aldrig tidigare sk\u00e5dad f\u00f6rm\u00e5ga att l\u00f6sa geometriproblem p\u00e5 olympiadniv\u00e5.  Matematiska problem p\u00e5 olympiadniv\u00e5 \u00e4r komplexa matematiska problem som vanligtvis st\u00e4lls i internationella matematikt\u00e4vlingar, till exempel den internationella matematikolympiaden (IMO). Dessa problem kr\u00e4ver en djup f\u00f6rst\u00e5else av matematiska begrepp, kreativ probleml\u00f6sningsf\u00f6rm\u00e5ga och rigor\u00f6sa logiska resonemang, som t\u00e4cker omr\u00e5den som algebra, kombinatorik och geometri, som denna forskning riktar sig till.  DeepMind-studien, som publicerades i Nature, utg\u00f6r en milstolpe i utvecklingen av AI:s probleml\u00f6sningsf\u00f6rm\u00e5ga inom matematik. Modellsystemet, som kallas AlphaGeometry, l\u00f6ste framg\u00e5ngsrikt 25 av 30 problem fr\u00e5n den internationella matematikolympiaden, en enorm f\u00f6rb\u00e4ttring j\u00e4mf\u00f6rt med<\/p>","protected":false},"author":2,"featured_media":8908,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[84],"tags":[147,102,105],"class_list":["post-9347","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>AlphaGeometry: AI&#039;s landmark achievement in geometry | DailyAI<\/title>\n<meta name=\"description\" content=\"DeepMind researchers have developed AlphaGeometry, an AI system with unprecedented ability to solve Olympiad-level geometry problems.\u00a0\" \/>\n<meta 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