Web: http://arxiv.org/abs/2204.01119

Sept. 16, 2022, 1:13 a.m. | Joshua Hanson, Maxim Raginsky

stat.ML updates on arXiv.org arxiv.org

This paper describes an approach for fitting an immersed submanifold of a
finite-dimensional Euclidean space to random samples. The reconstruction
mapping from the ambient space to the desired submanifold is implemented as a
composition of an encoder that maps each point to a tuple of (positive or
negative) times and a decoder given by a composition of flows along finitely
many vector fields starting from a fixed initial point. The encoder supplies
the times for the flows. The encoder-decoder map …

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