Web: http://arxiv.org/abs/2201.10000

Jan. 26, 2022, 2:10 a.m. | Zengyi Li, Yubei Chen, Yann LeCun, Friedrich T. Sommer

cs.LG updates on arXiv.org arxiv.org

Given a union of non-linear manifolds, non-linear subspace clustering or
manifold clustering aims to cluster data points based on manifold structures
and also learn to parameterize each manifold as a linear subspace in a feature
space. Deep neural networks have the potential to achieve this goal under
highly non-linear settings given their large capacity and flexibility. We argue
that achieving manifold clustering with neural networks requires two essential
ingredients: a domain-specific constraint that ensures the identification of
the manifolds, and …

arxiv clustering embedding manifold neural

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