3 citations · 3 across the 5 of their papers we have counts for
7 papers
TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes
Anton Lyubinin
Hyper-Connections (HC) improve residual networks by introducing learnable mixing across multiple residual streams, but unconstrained mixing leads to training instability. Manifold-…
Popularity Bias Alignment Estimates
Anton Lyubinin
We are extending Popularity Bias Memorization theorem from arXiv:archive/2404.12008 in several directions. We extend it to arbitrary degree distributions and also prove both upper…
Tannaka duality, coclosed categories and reconstruction for nonarchimedean bialgebras
Anton Lyubinin
The topic of this paper is a generalization of Tannaka duality to coclosed categories. As an application we prove reconstruction theorems for coalgebras (and bialgebras) in categor…
Nonarchimedean coalgebras and coadmissible modules
Anton Lyubinin
We show that basic notions of locally analytic representation theory can be reformulated in the language of topological coalgebras (Hopf algebras) and comodules. We introduce the n…
-adic quantum hyperenveloping algebra for
Anton Lyubinin
We construct an example of quantum hyperenveloping algebra over discretely valued field for the Lie algebra .
On Limits and Colimits Of Comodules over a Coalgebra in a Tensor Category
Anton Lyubinin
We show that the category of comodules over a coassociative coalgebra in a complete, cocomplete and well-powered category has limits and colimits under additional assumptions.
On induced locally analytic representations of locally analytic groups
Anton Lyubinin
Let G be a locally analytic group and H < G - a locally analytic subgroup. The main result is the condition (similar to Frommer-Orlik-Strauch theorem) for induction of locally anal…