Feb. 20, 2024, 5:44 a.m. | Ezzeddine El Sai, Parker Gara, Markus J. Pflaum

cs.LG updates on arXiv.org arxiv.org

arXiv:2205.05795v3 Announce Type: replace-cross
Abstract: As datasets used in scientific applications become more complex, studying the geometry and topology of data has become an increasingly prevalent part of the data analysis process. This can be seen for example with the growing interest in topological tools such as persistent homology. However, on the one hand, topological tools are inherently limited to providing only coarse information about the underlying space of the data. On the other hand, more geometric approaches rely predominately …

abstract analysis application applications arxiv become chemistry cs.cg cs.lg data data analysis datasets example geometry machine machine learning math.ag math.mp math-ph part process studying tools topology type

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