Data analysis and the metric evolution of hypergraphs

Dalma Bilbao; Hugo Aimar; Diego M. Mateos

Data analysis and the metric evolution of hypergraphs

Information Theory 2022-10-21 v1 Databases Mathematical Physics Dynamical Systems math.IT math.MP

Authors: Dalma Bilbao , Hugo Aimar , Diego M. Mateos

Abstract

In this paper we aim to use different metrics in the Euclidean space and Sobolev type metrics in function spaces in order to produce reliable parameters for the differentiation of point distributions and dynamical systems. The main tool is the analysis of the geometrical evolution of the hypergraphs generated by the growth of the radial parameters for a choice of an appropriate metric in the space containing the data points. Once this geometric dynamics is obtained we use Lebesque and Sobolev type norms in order to compare the basic geometric signals obtained.

Keywords

metric space

Cite

@article{arxiv.2210.11206,
  title  = {Data analysis and the metric evolution of hypergraphs},
  author = {Dalma Bilbao and Hugo Aimar and Diego M. Mateos},
  journal= {arXiv preprint arXiv:2210.11206},
  year   = {2022}
}

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11 pages, 5 figures, 6 tables

Data analysis and the metric evolution of hypergraphs

Abstract

Keywords

Cite

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