{"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\/pt\/2023\/12\/deepmind-makes-major-breakthrough-in-mathematical-machine-learning\/","title":{"rendered":"DeepMind faz um grande avan\u00e7o na aprendizagem matem\u00e1tica de m\u00e1quinas"},"content":{"rendered":"<p><b>Os investigadores da DeepMind revelaram o \"FunSearch\", um novo m\u00e9todo que utiliza modelos de linguagem de grande dimens\u00e3o (LLM) para descobrir novas solu\u00e7\u00f5es matem\u00e1ticas e inform\u00e1ticas.\u00a0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">O artigo, publicado em <a href=\"https:\/\/www.nature.com\/articles\/s41586-023-06924-6\">Natureza<\/a>descreve o FunSearch, que combina um LLM pr\u00e9-treinado encarregado de solu\u00e7\u00f5es inventivas baseadas em c\u00f3digo e um avaliador automatizado que atenua as imprecis\u00f5es no processo de resolu\u00e7\u00e3o de problemas.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Come\u00e7a por utilizar o LLM para gerar solu\u00e7\u00f5es criativas sob a forma de c\u00f3digo inform\u00e1tico. Em seguida, o sistema automatizado verifica essas solu\u00e7\u00f5es para garantir que est\u00e3o correctas e s\u00e3o \u00fateis. Este processo repete-se, refinando as solu\u00e7\u00f5es em cada ciclo, transformando as ideias iniciais em conhecimento novo e verificado.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Em termos simples, o FunSearch \u00e9 como uma sess\u00e3o de brainstorming entre um pensador muito criativo (o LLM) e um rigoroso verificador de factos, que trabalham em conjunto para encontrar respostas inovadoras para problemas complexos.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Este processo iterativo permite que as ideias iniciais evoluam para novos conhecimentos comprovados. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nas experi\u00eancias actuais do DeepMind, o FunSearch forneceu com sucesso novos conhecimentos sobre problemas matem\u00e1ticos importantes, incluindo o problema do conjunto de tampas e o problema do empacotamento de caixas.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Resolver o problema do conjunto de limites<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Um dos principais \u00eaxitos do <a href=\"https:\/\/www.nature.com\/articles\/d41586-023-04043-w\">FunSearch<\/a> \u00e9 o seu desempenho no problema do conjunto de tampas, um desafio complexo no \u00e2mbito da teoria matem\u00e1tica.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Aqui est\u00e1 um olhar mais profundo sobre este problema:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">O problema do conjunto de pontos m\u00e1ximo baseia-se num espa\u00e7o de elevada dimens\u00e3o, em que o objetivo \u00e9 encontrar o maior conjunto poss\u00edvel de pontos (um conjunto m\u00e1ximo) em que nenhum dos tr\u00eas pontos se alinhe numa linha reta.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">O desafio resulta do crescimento exponencial das combina\u00e7\u00f5es poss\u00edveis \u00e0 medida que a dimensionalidade do espa\u00e7o aumenta, tornando ineficazes as abordagens computacionais tradicionais.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">A inova\u00e7\u00e3o do FunSearch reside no facto de gerar programas que identificaram conjuntos de tampas maiores do que os anteriormente conhecidos, demonstrando uma capacidade sem precedentes de ultrapassar o conhecimento matem\u00e1tico orientado para o ser humano.<\/span><\/li>\n<\/ul>\n<p>Um problema mais pr\u00e1tico abordado pelo FunSearch \u00e9 o problema de empacotamento de contentores, que procura estrat\u00e9gias \u00f3ptimas para empacotar itens de tamanho variado em contentores, um desafio relevante tanto em cen\u00e1rios f\u00edsicos, como a organiza\u00e7\u00e3o de contentores de transporte, como em ci\u00eancia computacional, como a organiza\u00e7\u00e3o de tarefas computacionais para efici\u00eancia.<\/p>\n<p>Os m\u00e9todos tradicionais envolvem normalmente a embalagem de objectos no primeiro espa\u00e7o dispon\u00edvel ou no espa\u00e7o com menos espa\u00e7o restante.<\/p>\n<p>No entanto, a FunSearch introduziu abordagens eficazes que evitam estrategicamente deixar pequenas lacunas por preencher.<\/p>\n<h2><span style=\"font-weight: 400;\">Potenciais utiliza\u00e7\u00f5es do FunSearch<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Jordan Ellenberg, professor de matem\u00e1tica na Universidade de Wisconsin-Madison e coautor do artigo, sublinhou as implica\u00e7\u00f5es do FunSearch para o futuro da intera\u00e7\u00e3o homem-m\u00e1quina na inform\u00e1tica e na matem\u00e1tica.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\"O que considero realmente excitante, mais ainda do que os resultados espec\u00edficos que encontr\u00e1mos, s\u00e3o as perspectivas que sugere para o futuro da intera\u00e7\u00e3o homem-m\u00e1quina em matem\u00e1tica\", disse Ellenberg. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Em vez de gerar uma solu\u00e7\u00e3o, o FunSearch gera um programa que encontra a solu\u00e7\u00e3o. Uma solu\u00e7\u00e3o para um problema espec\u00edfico pode n\u00e3o me dar nenhuma ideia de como resolver outros problemas relacionados.\"<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\"Mas um programa que encontra a solu\u00e7\u00e3o \u00e9 algo que um ser humano pode ler e interpretar e, esperemos, gerar ideias para o pr\u00f3ximo problema e para o pr\u00f3ximo e para o pr\u00f3ximo\".<\/span><\/p>\n<p>Eis mais pormenores sobre a forma como o FunSearch abre novos caminhos na aprendizagem autom\u00e1tica:<\/p>\n<ul>\n<li><strong>Resolu\u00e7\u00e3o criativa de problemas com gera\u00e7\u00e3o de c\u00f3digo<\/strong>: Ao contr\u00e1rio de muitos sistemas de IA que se centram na an\u00e1lise de dados ou no reconhecimento de padr\u00f5es, o FunSearch especializa-se na gera\u00e7\u00e3o de solu\u00e7\u00f5es criativas em c\u00f3digo inform\u00e1tico. Isto permite-lhe resolver problemas que n\u00e3o se limitam \u00e0 interpreta\u00e7\u00e3o de dados, mas tamb\u00e9m \u00e0 cria\u00e7\u00e3o de novas formas de resolver quest\u00f5es complexas.<\/li>\n<li><strong>Refinamento iterativo<\/strong>: O FunSearch utiliza um processo iterativo de melhoria cont\u00ednua das solu\u00e7\u00f5es. Come\u00e7a com uma ideia inicial gerada pelo LLM, sendo depois aperfei\u00e7oada atrav\u00e9s de uma s\u00e9rie de avalia\u00e7\u00f5es e melhorias. Este processo imita a forma como os seres humanos resolvem frequentemente os problemas - come\u00e7ando com uma ideia aproximada e melhorando-a ao longo do tempo.<\/li>\n<li><strong>Criatividade e rigor<\/strong>: O FunSearch faz a ponte entre a resolu\u00e7\u00e3o criativa de problemas e a avalia\u00e7\u00e3o rigorosa. O LLM traz criatividade e inova\u00e7\u00e3o, gerando solu\u00e7\u00f5es novas e inexploradas, enquanto o avaliador autom\u00e1tico garante que essas solu\u00e7\u00f5es s\u00e3o exactas e vi\u00e1veis. Esta dupla abordagem \u00e9 crucial nos dom\u00ednios cient\u00edficos em que a inova\u00e7\u00e3o deve ser associada \u00e0 precis\u00e3o.<\/li>\n<li><strong>Transpar\u00eancia:<\/strong> Um dos aspectos \u00fanicos do FunSearch \u00e9 a sua capacidade de fornecer resultados transparentes e interpret\u00e1veis. Em vez de oferecer uma resposta final, ele gera um programa que detalha como essa solu\u00e7\u00e3o foi alcan\u00e7ada. Essa transpar\u00eancia \u00e9 vital para a pesquisa cient\u00edfica, onde a compreens\u00e3o do processo \u00e9 t\u00e3o importante quanto o resultado.<\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">O diretor de IA para a ci\u00eancia na DeepMind, Pushmeet Kohli, explicou como o FunSearch abre uma nova forma de investiga\u00e7\u00e3o de aprendizagem autom\u00e1tica: \"Isto vai ser de facto transformador na forma como as pessoas abordam as ci\u00eancias inform\u00e1ticas e a descoberta de algoritmos. Pela primeira vez, n\u00e3o estamos a ver os LLM a assumir o controlo, mas sim a ajudar a alargar os limites do que \u00e9 poss\u00edvel em termos de algoritmos\".<\/span><\/p>\n<p>Ao combinar as capacidades criativas dos LLM com uma avalia\u00e7\u00e3o rigorosa, o FunSearch ilustra uma nova abordagem para resolver problemas abertos complexos. As suas utiliza\u00e7\u00f5es pr\u00e1ticas ser\u00e3o fascinantes.<\/p>","protected":false},"excerpt":{"rendered":"<p>Os investigadores da DeepMind revelaram o \"FunSearch\", um novo m\u00e9todo que utiliza grandes modelos de linguagem (LLM) para descobrir novas solu\u00e7\u00f5es matem\u00e1ticas e inform\u00e1ticas.  O artigo, publicado na Nature, descreve o FunSearch, que combina um LLM pr\u00e9-treinado encarregado de solu\u00e7\u00f5es inventivas baseadas em c\u00f3digo e um avaliador automatizado que atenua as imprecis\u00f5es no processo de resolu\u00e7\u00e3o de problemas.  Come\u00e7a por utilizar o LLM para gerar solu\u00e7\u00f5es criativas sob a forma de c\u00f3digo inform\u00e1tico. Em seguida, o sistema automatizado verifica essas solu\u00e7\u00f5es para garantir que s\u00e3o correctas e \u00fateis. Este processo repete-se, refinando as solu\u00e7\u00f5es em cada ciclo, transformando as ideias iniciais em conhecimento novo e verificado.  Em termos simples, o FunSearch \u00e9 como<\/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\" 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