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arXiv · 1607.03849

Fitting a Simplicial Complex using a Variation of k-means

Piotr Beben
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Abstract

We give a simple and effective two stage algorithm for approximating a point cloud $\mathcal{S}\subset\mathbb{R}^m$ by a simplicial complex $K$. The first stage is an iterative fitting procedure that generalizes k-means clustering, while the second stage involves deleting redundant simplices. A form of dimension reduction of $\mathcal{S}$ is obtained as a consequence.

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Piotr Beben. 2016-07-13. Fitting a Simplicial Complex using a Variation of k-means. https://arxiv.org/abs/1607.03849

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