Web: http://arxiv.org/abs/2205.05795

May 13, 2022, 1:11 a.m. | Ezzeddine El Sai, Parker Gara, Markus J. Pflaum

cs.LG updates on arXiv.org arxiv.org

As data used in scientific application become more complex, studying their
geometry and topology 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 on the manifold hypothesis, which asserts that …

application arxiv chemistry learning machine machine learning math

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