# Large sample spectral analysis of graph-based multi-manifold clustering

@article{Trillos2021LargeSS, title={Large sample spectral analysis of graph-based multi-manifold clustering}, author={Nicol{\'a}s Garc{\'i}a Trillos and Pengfei He and Chenghui Li}, journal={ArXiv}, year={2021}, volume={abs/2107.13610} }

In this work we study statistical properties of graph-based algorithms for multi-manifold clustering (MMC). In MMC the goal is to retrieve the multi-manifold structure underlying a given Euclidean data set when this one is assumed to be obtained by sampling a distribution on a union of manifolds M = M1 ∪ · · · ∪ MN that may intersect with each other and that may have different dimensions. We investigate sufficient conditions that similarity graphs on data sets must satisfy in order for their…

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