2 citations · 3 across the 7 of their papers we have counts for
7 papers
Evaluating SageMath-Augmented LLM Agents for Computational and Experimental Mathematics
Pavel Snopov, German Magai
Recent advances in AI for Mathematics have focused largely on autoformalization and theorem proving, leaving the role of Computer Algebra Systems (CAS) in agentic LLM workflows und…
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…
Topology-Aware Activation Functions in Neural Networks
Pavel Snopov, Oleg R. Musin
This study explores novel activation functions that enhance the ability of neural networks to manipulate data topology during training. Building on the limitations of traditional a…
Vulnerability Detection via Topological Analysis of Attention Maps
Pavel Snopov, Andrey Nikolaevich Golubinskiy
Recently, deep learning (DL) approaches to vulnerability detection have gained significant traction. These methods demonstrate promising results, often surpassing traditional stati…
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…
Porosity and topological properties of triply periodic minimal surfaces
Sergei Ermolenko, Pavel Snopov
Triple periodic minimal surfaces (TPMS) have garnered significant interest due to their structural efficiency and controllable geometry, making them suitable for a wide range of ap…
TopoBench: A Framework for Benchmarking Topological Deep Learning
Lev Telyatnikov, Guillermo Bernardez, Marco Montagna +34
This work introduces TopoBench, an open-source library designed to standardize benchmarking and accelerate research in topological deep learning (TDL). TopoBench decomposes TDL int…