人工智能驱动的纯数学和理论物理学研究

IF 44.8 1区 物理与天体物理 Q1 PHYSICS, APPLIED
Yang-Hui He  (, )
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引用次数: 0

摘要

过去五年,人工智能(AI)算法在纯数学和理论科学中的应用急剧增加。这似乎有悖常理,因为数学科学需要严格的定义、推导和证明,而实验科学则依赖于带有误差条的数据建模。在本《视角》中,我们将数学和理论发现的方法分为 "自上而下"、"自下而上 "和 "元数学"。我们回顾了过去几年的进展,比较和对比了每种方法的进步和不足。我们认为,虽然理论家在不久的将来不会面临被人工智能系统取代的危险,但人类专业知识与人工智能算法的结合将成为理论研究不可或缺的一部分。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

AI-driven research in pure mathematics and theoretical physics

AI-driven research in pure mathematics and theoretical physics
The past five years have seen a dramatic increase in the usage of artificial intelligence (AI) algorithms in pure mathematics and theoretical sciences. This might appear counter-intuitive as mathematical sciences require rigorous definitions, derivations and proofs, in contrast to the experimental sciences, which rely on the modelling of data with error bars. In this Perspective, we categorize the approaches to mathematical and theoretical discovery as ‘top-down’, ‘bottom-up’ and ‘meta-mathematics’. We review the progress over the past few years, comparing and contrasting both the advances and the shortcomings of each approach. We believe that although the theorist is not in danger of being replaced by AI systems in the near future, the combination of human expertise and AI algorithms will become an integral part of theoretical research. Advances in artificial-intelligence-assisted mathematical investigations suggest that human–machine collaboration will be an integral part of future theoretical research.
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来源期刊
CiteScore
47.80
自引率
0.50%
发文量
122
期刊介绍: Nature Reviews Physics is an online-only reviews journal, part of the Nature Reviews portfolio of journals. It publishes high-quality technical reference, review, and commentary articles in all areas of fundamental and applied physics. The journal offers a range of content types, including Reviews, Perspectives, Roadmaps, Technical Reviews, Expert Recommendations, Comments, Editorials, Research Highlights, Features, and News & Views, which cover significant advances in the field and topical issues. Nature Reviews Physics is published monthly from January 2019 and does not have external, academic editors. Instead, all editorial decisions are made by a dedicated team of full-time professional editors.
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