22 citations · 84 across the 21 of their papers we have counts for
3 papers · 1 filter
Introduction to Nonlinear Spectral Analysis
Leon Bungert, Yury Korolev
These notes are meant as an introduction to the theory of nonlinear spectral theory. We will discuss the variational form of nonlninear eigenvalue problems and the corresponding no…
Fast Inexact Bilevel Optimization for Analytical Deep Image Priors
Mohammad Sadegh Salehi, Tatiana A. Bubba, Yury Korolev
The analytical deep image prior (ADP) introduced by Dittmer et al. (2020) establishes a link between deep image priors and classical regularization theory via bilevel optimization.…
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…