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math.AT2026
A data structure for quotient flag complexes
Konstantin Sorokin, Aleksandr Levin, Maxim Beketov +1
Vietoris-Rips filtrations, which are standard in topological data analysis, are flag complexes, and a simplex tree stores these without any attaching data. In this paper we ask wha…
cs.LG2026
Reparameterization through Coverings and Topological Weight Priors
Maxim Beketov, Pavel Snopov
We generalise the reparameterization trick (RT) applied in variational autoencoders (VAEs) letting these have latent spaces of non-trivial topology - i.e. that of base manifolds co…