graph diffusion 1metropolis-hastings 1spatial autocorrelation 1spatial clustering 1spectral graph theory 1statistical testing 1
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math.AT2026
Topological optimization with birth and death cochains
Thomas Weighill, Ling Zhou
We introduce the notion of birth and death cochains as generalized versions of birth and death simplices in persistent cohomology. We show that birth and death cochains (unlike bir…
math.AT2026
Through the Grapevine: Vineyard Distance as a Measure of Topological Dissimilarity
Alvan Arulandu, Daniel Gottschalk, Thomas Payne +2
We introduce a new measure of distance between datasets, based on vineyards from topological data analysis, which we call the vineyard distance. Vineyard distance measures the exte…