We review some recent applications of machine learning to algebraic geometry and physics. Since problems in algebraic geometry can typically be reformulated as mappings between tensors, this makes them particularly amenable to supervised learning. Additionally, unsupervised methods can provide insight into the structure of such geometrical data. At the heart of this programme is the question of how geometry can be machine learned, and indeed how AI helps one to do mathematics. This is a chapter contribution to the book Machine learning and Algebraic Geometry, edited by A. Kasprzyk et al.
翻译:我们审查了最近机器学习应用于代数几何学和物理学的一些应用。由于代数几何学的问题通常可以重新拟订为代数几何学之间的绘图,因此它们特别容易接受监督学习。此外,未经监督的方法可以使人们深入了解这类几何数据的结构。本方案的核心是如何学会几何学,以及AI如何帮助一个人进行数学。这是A. Kasprzyk等人编辑的《机器学习和代数几何学》一书的章节。