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Fedor Pavutnitskiy

2 accepted papers

2024

Applying language models to algebraic topology: generating simplicial cycles using multi-labeling in Wu's formula

ICML 2024poster

Computing homotopy groups of spheres has long been a fundamental objective in algebraic topology. Various theoretical and algorithmic approaches have been developed to tackle this problem. In this paper we take a step towards the goal of comprehending the group-theoretic structure of the generators…

2022

Quadric Hypersurface Intersection for Manifold Learning in Feature Space

AISTATS 2022poster

The knowledge that data lies close to a particular submanifold of the ambient Euclidean space may be useful in a number of ways. For instance, one may want to automatically mark any point far away from the submanifold as an outlier or to use the geometry to come up with a better distance metric. Man…