{"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\/es\/2024\/01\/alphageometry-ais-landmark-achievement-in-geometry\/","title":{"rendered":"AlphaGeometry: El logro hist\u00f3rico de la IA en geometr\u00eda"},"content":{"rendered":"<p><b>Los investigadores de DeepMind han desarrollado AlphaGeometry, un sistema de IA con una capacidad sin precedentes para resolver problemas de geometr\u00eda de nivel ol\u00edmpico.\u00a0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Los problemas matem\u00e1ticos de olimpiada son problemas matem\u00e1ticos complejos que suelen plantearse en competiciones internacionales de matem\u00e1ticas, como la Olimpiada Matem\u00e1tica Internacional (OMI). <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Estos problemas requieren una profunda comprensi\u00f3n de los conceptos matem\u00e1ticos, capacidad creativa para resolver problemas y un razonamiento l\u00f3gico riguroso, que abarque \u00e1reas como el \u00e1lgebra, la combinatoria y la geometr\u00eda, a las que se dirige esta investigaci\u00f3n.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">En <\/span><a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06747-5\"><span style=\"font-weight: 400;\">DeepMind<\/span><\/a> estudiar<span style=\"font-weight: 400;\">publicado en Nature, marca un hito en la capacidad de la IA para resolver problemas matem\u00e1ticos.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">El sistema modelo, bautizado como AlphaGeometry, resolvi\u00f3 con \u00e9xito 25 de los 30 problemas de la Olimpiada Matem\u00e1tica Internacional, lo que supone una enorme mejora con respecto al anterior sistema de IA de \u00faltima generaci\u00f3n, que s\u00f3lo resolvi\u00f3 10.\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 pulveriz\u00f3 los modelos de IA anteriores, pero se sit\u00faa justo por detr\u00e1s de los mejores matem\u00e1ticos. Fuente: <a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06747-5\">DeepMind v\u00eda Nature<\/a>.<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">Casi refleja el rendimiento de los medallistas de oro humanos, que resolvieron una media de 25,9 problemas, lo que supone un gui\u00f1o bastante notable a las habilidades de los ol\u00edmpicos humanos. El autor del estudio, Trieu H. Trinh describe el trabajo a continuaci\u00f3n.<br \/>\n<\/span><\/p>\n<p><iframe loading=\"lazy\" title=\"AlfaGeometr\u00eda\" 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;\">Para lograrlo, el sistema de IA combina un modelo de lenguaje neuronal con un motor de deducci\u00f3n simb\u00f3lica. El modelo neuronal sugiere r\u00e1pidamente posibles construcciones, y el motor simb\u00f3lico deduce rigurosamente las soluciones. Este doble enfoque facilita un equilibrio entre velocidad y precisi\u00f3n en la resoluci\u00f3n de problemas.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Una de las claves del \u00e9xito de AlphaGeometry es la generaci\u00f3n de 100 millones de ejemplos de entrenamiento sint\u00e9ticos \u00fanicos. Este enfoque permiti\u00f3 a la IA entrenarse sin intervenci\u00f3n humana, superando un importante cuello de botella de datos.<\/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=\"IA 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\">Ejemplos de datos sint\u00e9ticos utilizados para entrenar AlphaGeometry. Fuente: <a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06747-5\">DeepMind v\u00eda Nature<\/a>.<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">El medallista Fields y medalla de oro de la OMI Ng\u00f4 B\u1ea3o Ch\u00e2u expres\u00f3 su asombro ante este logro, <\/span><a href=\"https:\/\/deepmind.google\/discover\/blog\/alphageometry-an-olympiad-level-ai-system-for-geometry\/\"><span style=\"font-weight: 400;\">en una entrada del blog de Google<\/span><\/a><span style=\"font-weight: 400;\">Para m\u00ed tiene mucho sentido que los investigadores en Inteligencia Artificial se dediquen primero a los problemas de geometr\u00eda de la OMI, porque encontrar soluciones se parece un poco al ajedrez, en el sentido de que tenemos un n\u00famero bastante reducido de movimientos sensatos en cada paso. Pero me sigue pareciendo asombroso que hayan podido hacerlo funcionar. Es un logro impresionante\".<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Evan Chen, entrenador de matem\u00e1ticas y antiguo medallista de oro en las Olimpiadas, tambi\u00e9n elogi\u00f3 la IA: \"Los resultados de AlphaGeometry son impresionantes porque son verificables y limpios... Utiliza las reglas cl\u00e1sicas de la geometr\u00eda con \u00e1ngulos y tri\u00e1ngulos semejantes, igual que hacen los estudiantes\".<\/span><\/p>\n<p>Echa un vistazo al v\u00eddeo de Chen sobre la Olimpiada para hacerte una idea de lo escandalosamente dif\u00edciles que son estos problemas.<\/p>\n<p><iframe loading=\"lazy\" title=\"Episodio 1 con el Sr. Evan Chen | MIN Camino a la Olimpiada 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;\">La capacidad de AlphaGeometry para resolver complejos problemas de geometr\u00eda a nivel ol\u00edmpico no s\u00f3lo demuestra la creciente capacidad de razonamiento l\u00f3gico de la IA, sino que tambi\u00e9n abre nuevas posibilidades en el desarrollo de las matem\u00e1ticas y la IA.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Contribuye a varias investigaciones revolucionarias de DeepMind, entre ellas <\/span><a href=\"https:\/\/dailyai.com\/es\/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\/es\/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\/es\/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\/es\/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\/es\/2023\/09\/deepminds-alphamissense-accelerates-the-hunt-for-disease-causing-genes\/\"><span style=\"font-weight: 400;\">AlphaMissense<\/span><\/a><span style=\"font-weight: 400;\">y <\/span><a href=\"https:\/\/dailyai.com\/es\/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;\">por nombrar s\u00f3lo algunos de los m\u00e1s recientes.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">M\u00e1s informaci\u00f3n sobre el estudio<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">He aqu\u00ed c\u00f3mo funciona AlphaGeometry en cinco pasos destilados:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Generaci\u00f3n de teoremas sint\u00e9ticos<\/b><span style=\"font-weight: 400;\">: AlphaGeometry comienza generando un conjunto masivo de problemas geom\u00e9tricos aleatorios. Esto se hace mediante la creaci\u00f3n de una variedad de enunciados geom\u00e9tricos, como \"el punto A est\u00e1 en el segmento de l\u00ednea BC\" o \"el \u00e1ngulo XYZ es de 45 grados\". Estos enunciados forman las premisas o puntos de partida de teoremas potenciales.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Deducci\u00f3n simb\u00f3lica<\/b><span style=\"font-weight: 400;\">: A partir de estas premisas, el motor de deducci\u00f3n simb\u00f3lica de la IA empieza a razonar las conclusiones. Aplica reglas geom\u00e9tricas y l\u00f3gicas para deducir nuevas afirmaciones a partir de las premisas dadas, explorando sistem\u00e1ticamente distintas combinaciones y relaciones.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Crear construcciones auxiliares<\/b><span style=\"font-weight: 400;\">: A menudo, para resolver problemas geom\u00e9tricos complejos es necesario introducir nuevos elementos (como puntos o l\u00edneas adicionales) que no forman parte de la configuraci\u00f3n original. Estos elementos se denominan construcciones auxiliares. El motor de AlphaGeometry est\u00e1 dise\u00f1ado para identificar cu\u00e1ndo y qu\u00e9 construcciones auxiliares son necesarias para avanzar hacia una soluci\u00f3n.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Entrenamiento del modelo ling\u00fc\u00edstico<\/b><span style=\"font-weight: 400;\">: Se entrena un modelo de lenguaje basado en transformadores a partir de los datos generados en los pasos anteriores. Este modelo aprende a comprender los patrones y la l\u00f3gica del razonamiento geom\u00e9trico. Mejora en la predicci\u00f3n de qu\u00e9 construcciones auxiliares o pasos podr\u00edan ser necesarios para resolver problemas similares en el futuro.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Resoluci\u00f3n iterativa de problemas<\/b><span style=\"font-weight: 400;\">: En el \u00faltimo paso, AlphaGeometry aborda nuevos problemas de geometr\u00eda combinando el poder predictivo de su modelo ling\u00fc\u00edstico con el rigor l\u00f3gico de su motor de deducci\u00f3n simb\u00f3lica. La IA propone construcciones auxiliares y comprueba si conducen a una soluci\u00f3n, iterando este proceso hasta que encuentra una prueba v\u00e1lida o agota sus opciones.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">El apetito de DeepMind por resolver problemas de investigaci\u00f3n en aprendizaje autom\u00e1tico no ha hecho m\u00e1s que crecer, lo que ilustra una vez m\u00e1s el ritmo de desarrollo de la IA. Sin embargo, no hay que olvidar que las olimpiadas matem\u00e1ticas humanas siguen teniendo ventaja... por poco.<\/span><\/p>","protected":false},"excerpt":{"rendered":"<p>Investigadores de DeepMind han desarrollado AlphaGeometry, un sistema de IA con una capacidad sin precedentes para resolver problemas de geometr\u00eda de nivel ol\u00edmpico.  Los problemas matem\u00e1ticos de olimpiada son problemas matem\u00e1ticos complejos que suelen plantearse en competiciones internacionales de matem\u00e1ticas, como la Olimpiada Matem\u00e1tica Internacional (IMO). Estos problemas requieren una comprensi\u00f3n profunda de los conceptos matem\u00e1ticos, habilidades creativas para resolver problemas y un razonamiento l\u00f3gico riguroso, abarcando \u00e1reas como el \u00e1lgebra, la combinatoria y la geometr\u00eda, a las que se dirige esta investigaci\u00f3n.  El estudio de DeepMind, publicado en Nature, marca un hito en la capacidad de la IA para resolver problemas matem\u00e1ticos. El sistema modelo, apodado AlphaGeometry, resolvi\u00f3 con \u00e9xito 25 de los 30 problemas de la Olimpiada Matem\u00e1tica Internacional, lo que supone una enorme mejora respecto a<\/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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