Davies-Gaffney-Grigor'yan lemma on simplicial complexes

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arxiv 1702.00529 v1 pith:FZRSRORI submitted 2017-02-02 math.SP

Bobo Hua , Xin Luo This is my paper · ORCID

classification math.SP

keywords complexesdavies-gaffney-grigorlemmasimplicialboundeddiscreteheathodge

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We prove Davies-Gaffney-Grigor'yan lemma for heat kernels of bounded discrete Hodge Laplacians on simplicial complexes.

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HiPoNet: A Multi-View Simplicial Complex Network for High Dimensional Point-Cloud and Single-Cell Data
cs.LG 2025-02 conditional novelty 6.0 of 10

HiPoNet combines learned feature reweighting, Vietoris-Rips complexes, and simplicial scattering transforms to classify high-dimensional point clouds, reporting top accuracy on several single-cell and spatial transcri...