{"id":25029,"date":"2026-08-03T08:33:58","date_gmt":"2026-08-03T08:33:58","guid":{"rendered":"https:\/\/windowsreport.com\/fr\/openai-devoile-astra-apres-avoir-resolu-10-problemes-mathematiques-de-longue-date-2\/"},"modified":"2026-08-03T08:33:58","modified_gmt":"2026-08-03T08:33:58","slug":"openai-devoile-astra-apres-avoir-resolu-10-problemes-mathematiques-de-longue-date-2","status":"publish","type":"post","link":"https:\/\/windowsreport.com\/fr\/openai-devoile-astra-apres-avoir-resolu-10-problemes-mathematiques-de-longue-date-2\/","title":{"rendered":"OpenAI d\u00e9voile Astra apr\u00e8s avoir r\u00e9solu 10 probl\u00e8mes math\u00e9matiques de longue date"},"content":{"rendered":"\n<p>OpenAI a <a href=\"https:\/\/openai.com\/index\/ten-advances-in-mathematics\/\" target=\"_blank\" rel=\"noopener noreferrer\">d\u00e9voil\u00e9 Astra<\/a>, un futur mod\u00e8le de pointe destin\u00e9 \u00e0 succ\u00e9der \u00e0 la s\u00e9rie GPT-5.6. Une version interne aurait g\u00e9n\u00e9r\u00e9 de nouveaux r\u00e9sultats pour dix probl\u00e8mes de longue date en math\u00e9matiques et en informatique th\u00e9orique.<\/p>\n\n\n\n<p>OpenAI a s\u00e9lectionn\u00e9 des probl\u00e8mes dont les r\u00e9sultats centraux n\u2019avaient connu que peu ou pas de progr\u00e8s depuis au moins dix ans. L\u2019entreprise a d\u00e9sormais publi\u00e9 des documents compl\u00e9mentaires pour que les chercheurs externes puissent examiner le travail du mod\u00e8le.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-astra-produced-the-results-at-a-relatively-low-cost\">Astra a produit ces r\u00e9sultats \u00e0 un co\u00fbt relativement faible<\/h2>\n\n\n\n<p>OpenAI indique qu\u2019Astra n\u2019a pas n\u00e9cessit\u00e9 des quantit\u00e9s inhabituellement importantes de puissance de calcul pour produire ces d\u00e9couvertes.<\/p>\n\n\n\n<p>L\u2019utilisation combin\u00e9e de tokens pour les dix solutions aurait co\u00fbt\u00e9 environ 2\u202f000\u202f$ aux tarifs de l\u2019API GPT-5.6 Sol. Apr\u00e8s avoir identifi\u00e9 les solutions, Astra a \u00e9galement contribu\u00e9 \u00e0 transformer les arguments math\u00e9matiques en manuscrits de recherche.<\/p>\n\n\n\n<p>Les co\u00fbts rapport\u00e9s sugg\u00e8rent que la recherche math\u00e9matique avanc\u00e9e ne n\u00e9cessite pas toujours des budgets d\u2019inf\u00e9rence massifs. Cependant, les chercheurs ind\u00e9pendants doivent encore v\u00e9rifier ces r\u00e9sultats et \u00e9valuer leur importance.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-openai-used-lean-to-verify-astra-s-proofs\">OpenAI a utilis\u00e9 Lean pour v\u00e9rifier les preuves d\u2019Astra<\/h3>\n\n\n\n<p>Astra a formalis\u00e9 chaque argument math\u00e9matique \u00e0 l\u2019aide de Lean, un langage de programmation et un assistant de preuves con\u00e7u pour v\u00e9rifier les preuves formelles.<\/p>\n\n\n\n<p>Les certificats de preuve qui en r\u00e9sultent permettent aux ordinateurs de v\u00e9rifier chaque \u00e9tape logique. Ce processus r\u00e9duit la d\u00e9pendance \u00e0 la seule r\u00e9vision humaine et peut aider les chercheurs \u00e0 identifier des lacunes cach\u00e9es ou des hypoth\u00e8ses incorrectes.<\/p>\n\n\n\n<p>OpenAI publie les manuscrits de recherche, les preuves Lean et les explications g\u00e9n\u00e9r\u00e9es par le mod\u00e8le pour un examen ind\u00e9pendant. Les math\u00e9maticiens peuvent donc examiner \u00e0 la fois les arguments \u00e9crits et leurs versions v\u00e9rifiables par machine.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-researchers-will-now-review-astra-s-work\">Les chercheurs vont maintenant examiner les travaux d\u2019Astra<\/h3>\n\n\n\n<p>OpenAI demande \u00e0 la communaut\u00e9 math\u00e9matique d\u2019examiner les preuves de mani\u00e8re ind\u00e9pendante et de d\u00e9terminer l\u2019importance de chaque r\u00e9sultat.<\/p>\n\n\n\n<p>Les chercheurs devront confirmer que les preuves formelles correspondent aux affirmations math\u00e9matiques vis\u00e9es. Ils \u00e9valueront \u00e9galement si Astra a introduit des techniques v\u00e9ritablement utiles qui pourraient conduire \u00e0 de nouvelles d\u00e9couvertes.<\/p>\n\n\n\n<p>Ces r\u00e9sultats pourraient donner une indication pr\u00e9coce de la mani\u00e8re dont les mod\u00e8les d\u2019IA de pointe pourraient soutenir la recherche math\u00e9matique avanc\u00e9e. Leur importance plus large d\u00e9pendra de la v\u00e9rification ind\u00e9pendante et de l\u2019utilit\u00e9 des m\u00e9thodes qui les sous-tendent.<\/p>\n\n\n\n<p>Autre actualit\u00e9 OpenAI, l\u2019entreprise a r\u00e9cemment r\u00e9duit les prix de l\u2019API GPT-5.6 et a <a href=\"https:\/\/windowsreport.com\/fr\/les-nouveaux-modeles-vocaux-dia-dopenai-ameliorent-la-precision-de-la-transcription\/\" target=\"_blank\" rel=\"noopener noreferrer\">lanc\u00e9 de nouveaux mod\u00e8les de transcription vocale<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>OpenAI a d\u00e9voil\u00e9 Astra, un futur mod\u00e8le de pointe destin\u00e9 \u00e0 succ\u00e9der \u00e0 la s\u00e9rie GPT-5.6. Une version interne aurait g\u00e9n\u00e9r\u00e9 de nouveaux r\u00e9sultats pour dix probl\u00e8mes de longue date en math\u00e9matiques et en informatique th\u00e9orique. OpenAI a s\u00e9lectionn\u00e9 des probl\u00e8mes dont les r\u00e9sultats centraux n\u2019avaient connu que peu ou pas de progr\u00e8s depuis au [&hellip;]<\/p>\n","protected":false},"author":49,"featured_media":25030,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_enabled_clarity":"","footnotes":""},"categories":[1019],"tags":[],"work":[],"class_list":["post-25029","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tutoriels"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.1 (Yoast SEO v28.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>OpenAI d\u00e9voile Astra apr\u00e8s avoir r\u00e9solu 10 probl\u00e8mes math\u00e9matiques de longue date<\/title>\n<meta name=\"description\" content=\"Astra, le successeur pr\u00e9vu de GPT-5.6 par OpenAI, a produit de nouveaux r\u00e9sultats en 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