{"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\/it\/2024\/01\/alphageometry-ais-landmark-achievement-in-geometry\/","title":{"rendered":"AlphaGeometry: La pietra miliare dell'AI in geometria"},"content":{"rendered":"<p><b>I ricercatori di DeepMind hanno sviluppato AlphaGeometry, un sistema di intelligenza artificiale con una capacit\u00e0 senza precedenti di risolvere problemi di geometria di livello olimpico.\u00a0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">I problemi matematici delle Olimpiadi sono problemi matematici complessi tipicamente posti nelle competizioni matematiche internazionali, come le Olimpiadi Matematiche Internazionali (IMO). <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Questi problemi richiedono una profonda comprensione dei concetti matematici, capacit\u00e0 di risolvere i problemi in modo creativo e un ragionamento logico rigoroso, che copre aree come l'algebra, il calcolo combinatorio e la geometria, a cui questa ricerca si rivolge.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Il <\/span><a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06747-5\"><span style=\"font-weight: 400;\">DeepMind<\/span><\/a> studio<span style=\"font-weight: 400;\">pubblicato su Nature, segna una pietra miliare nella capacit\u00e0 dell'intelligenza artificiale di risolvere problemi matematici.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Il sistema modello, denominato AlphaGeometry, ha risolto con successo 25 dei 30 problemi delle Olimpiadi Internazionali di Matematica, un enorme miglioramento rispetto al precedente sistema di intelligenza artificiale all'avanguardia, che ne aveva risolti soltanto 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 ha distrutto i precedenti modelli di intelligenza artificiale, ma \u00e8 appena dietro ai migliori matematici. Fonte: <a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06747-5\">DeepMind via Nature<\/a>.<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">Il risultato rispecchia quasi le prestazioni dei medagliati d'oro umani, che hanno risolto in media 25,9 problemi - un cenno piuttosto notevole alle capacit\u00e0 delle Olimpiadi umane. L'autore dello studio Trieu H. Trinh descrive il lavoro qui di seguito.<br \/>\n<\/span><\/p>\n<p><iframe loading=\"lazy\" title=\"AlfaGeometria\" 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;\">Per raggiungere questo obiettivo, il sistema di intelligenza artificiale combina un modello linguistico neurale con un motore di deduzione simbolica. Il modello neurale suggerisce rapidamente i potenziali costrutti, mentre il motore simbolico deduce rigorosamente le soluzioni. Questo duplice approccio facilita l'equilibrio tra velocit\u00e0 e precisione nella risoluzione dei problemi.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">La chiave del successo di AlphaGeometry \u00e8 la generazione di 100 milioni di esempi sintetici unici di addestramento. Questo approccio ha permesso all'intelligenza artificiale di allenarsi senza l'intervento dell'uomo, superando un importante collo di bottiglia dei dati.<\/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\">Esempi di dati sintetici utilizzati per addestrare AlphaGeometry. Fonte: <a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06747-5\">DeepMind via Nature<\/a>.<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">La medaglia Fields e la medaglia d'oro IMO Ng\u00f4 B\u1ea3o Ch\u00e2u hanno espresso il loro stupore per questo risultato, <\/span><a href=\"https:\/\/deepmind.google\/discover\/blog\/alphageometry-an-olympiad-level-ai-system-for-geometry\/\"><span style=\"font-weight: 400;\">dichiarando in un post sul blog di Google<\/span><\/a><span style=\"font-weight: 400;\">Mi sembra perfettamente sensato che i ricercatori di IA si cimentino per primi con i problemi di geometria IMO, perch\u00e9 la ricerca di soluzioni \u00e8 un po' come gli scacchi, nel senso che abbiamo un numero piuttosto ridotto di mosse sensate a ogni passo. Ma trovo comunque sbalorditivo che siano riusciti a farlo funzionare. \u00c8 un risultato impressionante\".<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Anche Evan Chen, allenatore di matematica ed ex medaglia d'oro alle Olimpiadi, ha elogiato l'IA: \"I risultati di AlphaGeometry sono impressionanti perch\u00e9 sono verificabili e puliti... Utilizza le regole della geometria classica con angoli e triangoli simili proprio come fanno gli studenti\".<\/span><\/p>\n<p>Guardate il video di Chen sulle Olimpiadi qui sotto per farvi un'idea di quanto siano difficili questi problemi.<\/p>\n<p><iframe loading=\"lazy\" title=\"Episodio 1 con Evan Chen | MIN Road To Olympiad 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 capacit\u00e0 di AlphaGeometry di risolvere complessi problemi di geometria a livello olimpico non solo dimostra la crescente capacit\u00e0 dell'intelligenza artificiale di ragionare logicamente, ma apre anche nuove possibilit\u00e0 di sviluppo della matematica e dell'intelligenza artificiale.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Contribuisce a diverse ricerche rivoluzionarie di DeepMind, tra cui <\/span><a href=\"https:\/\/dailyai.com\/it\/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\/it\/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\/it\/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\/it\/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\/it\/2023\/09\/deepminds-alphamissense-accelerates-the-hunt-for-disease-causing-genes\/\"><span style=\"font-weight: 400;\">AlfaMissense<\/span><\/a><span style=\"font-weight: 400;\">, e <\/span><a href=\"https:\/\/dailyai.com\/it\/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;\">per citarne solo alcuni di recente memoria.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Per saperne di pi\u00f9 sullo studio<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Ecco come funziona AlphaGeometry in cinque fasi:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Generazione di teoremi sintetici<\/b><span style=\"font-weight: 400;\">: AlphaGeometry inizia generando un'enorme serie di problemi geometrici casuali. Questo avviene creando una serie di affermazioni geometriche, come \"il punto A \u00e8 sul segmento BC\" o \"l'angolo XYZ \u00e8 di 45 gradi\". Queste affermazioni costituiscono le premesse o i punti di partenza di potenziali teoremi.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Deduzione simbolica<\/b><span style=\"font-weight: 400;\">: Utilizzando queste premesse, il motore di deduzione simbolica dell'intelligenza artificiale inizia a ragionare sulle conclusioni. Applica regole geometriche e logiche per ricavare nuove affermazioni dalle premesse date, esplorando sistematicamente diverse combinazioni e relazioni.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Creare costruzioni ausiliarie<\/b><span style=\"font-weight: 400;\">: Spesso la soluzione di problemi geometrici complessi richiede l'introduzione di nuovi elementi (come punti o linee supplementari) che non fanno parte dell'impostazione originale. Questi elementi sono chiamati costruzioni ausiliarie. Il motore di AlphaGeometry \u00e8 progettato per identificare quando e quali costruzioni ausiliarie sono necessarie per avanzare verso una soluzione.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Addestramento del modello linguistico<\/b><span style=\"font-weight: 400;\">: Un modello linguistico basato su trasformatori viene addestrato sui dati generati dalle fasi precedenti. Questo modello impara a comprendere gli schemi e la logica del ragionamento geometrico. Diventa pi\u00f9 bravo a prevedere quali costruzioni o passaggi ausiliari potrebbero essere necessari per risolvere problemi simili in futuro.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Risoluzione di problemi iterativi<\/b><span style=\"font-weight: 400;\">: Nella fase finale, AlphaGeometry affronta nuovi problemi di geometria combinando il potere predittivo del suo modello linguistico con il rigore logico del suo motore di deduzione simbolica. L'intelligenza artificiale propone costruzioni ausiliarie e verifica se portano a una soluzione, iterando questo processo finch\u00e9 non trova una prova valida o esaurisce le sue opzioni.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">L'appetito di DeepMind per la risoluzione di problemi di ricerca nell'ambito dell'apprendimento automatico non ha fatto che crescere e questo dimostra ancora una volta il ritmo di sviluppo dell'IA. Tuttavia, non dimentichiamo che le Olimpiadi della matematica umane sono ancora in vantaggio, ma solo di poco.<\/span><\/p>","protected":false},"excerpt":{"rendered":"<p>I ricercatori di DeepMind hanno sviluppato AlphaGeometry, un sistema di intelligenza artificiale con una capacit\u00e0 senza precedenti di risolvere problemi di geometria a livello di Olimpiadi.  I problemi matematici delle Olimpiadi sono problemi matematici complessi, tipicamente proposti nelle competizioni internazionali di matematica, come le Olimpiadi Matematiche Internazionali (IMO). Questi problemi richiedono una profonda comprensione dei concetti matematici, capacit\u00e0 creative di risoluzione dei problemi e un ragionamento logico rigoroso, che copre aree come l'algebra, il calcolo combinatorio e la geometria, a cui questa ricerca si rivolge.  Lo studio di DeepMind, pubblicato su Nature, segna una pietra miliare nella capacit\u00e0 dell'intelligenza artificiale di risolvere problemi matematici. Il sistema modello, denominato AlphaGeometry, ha risolto con successo 25 dei 30 problemi delle Olimpiadi Internazionali di Matematica, con un enorme miglioramento rispetto a quanto fatto in passato.<\/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\" 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