Yury Korolev

activity

20182026

collaborators

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math.AP2025

Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization

Martin Burger, Samira Kabri, Yury Korolev +2

The aim of this paper is to provide a mathematical analysis of transformer architectures using a self-attention mechanism with layer normalization. In particular, observed patterns…

math.AP2020

Structural analysis of an $L$ -infinity variational problem and relations to distance functions

Leon Bungert, Yury Korolev, Martin Burger

In this work we analyse the functional $J (u) = ∥\nabla u ∥_{\infty}$ defined on Lipschitz functions with homogeneous Dirichlet boundary conditions. Our analysis is performed di…

Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization

Structural analysis of an L-infinity variational problem and relations to distance functions

Structural analysis of an $L$ -infinity variational problem and relations to distance functions