2 citations · 4 across the 8 of their papers we have counts for
9 papers
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…
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…
Iterative Ricci-Foster Curvature Flow with GMM-Based Edge Pruning: A Novel Approach to Community Detection
Arsenii Onuchin, Konstantin Sorokin, Maxim Beketov +1
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on R…
ICML Topological Deep Learning Challenge 2024: Beyond the Graph Domain
Guillermo Bernárdez, Lev Telyatnikov, Marco Montagna +70
This paper describes the 2nd edition of the ICML Topological Deep Learning Challenge that was hosted within the ICML 2024 ELLIS Workshop on Geometry-grounded Representation Learnin…
Fast gradient-free activation maximization for neurons in spiking neural networks
Nikita Pospelov, Andrei Chertkov, Maxim Beketov +2
Elements of neural networks, both biological and artificial, can be described by their selectivity for specific cognitive features. Understanding these features is important for un…
Coverings by open and closed hemispheres
Anton Ayzenberg, Maxim Beketov, German Magai
In this paper we study the nerves of two types of coverings of a sphere : (1) coverings by open hemispheres; (2) antipodal coverings by closed hemispheres. In the first ca…
Global cognitive graph properties dynamics of hippocampal formation
Konstantin Sorokin, Andrey Zaitsew, Aleksandr Levin +3
In the present study we have used a set of methods and metrics to build a graph of relative neural connections in a hippocampus of a rodent. A set of graphs was built on top of tim…
Topology of cognitive maps
Konstantin Sorokin, Anton Ayzenberg, Konstantin Anokhin +4
In present paper we discuss several approaches to reconstructing the topology of the physical space from neural activity data of CA1 fields in mice hippocampus, in particular, havi…
ICLR 2021 Challenge for Computational Geometry & Topology: Design and Results
Nina Miolane, Matteo Caorsi, Umberto Lupo +30
This paper presents the computational challenge on differential geometry and topology that happened within the ICLR 2021 workshop "Geometric and Topological Representation Learning…