3 citations · 3 across the 2 of their papers we have counts for
3 papers
Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion
Leonid Berlyand, Oleksii Krupchytskyi, Tim Laux
We introduce a 2D free boundary problem with nonlinear diffusion that models a living cell moving on a substrate. We prove that this nonlinearity results in a qualitative of soluti…
Random weights of DNNs and emergence of fixed points
L. Berlyand, O. Krupchytskyi, V. Slavin
This paper is concerned with a special class of deep neural networks (DNNs) where the input and the output vectors have the same dimension. Such DNNs are widely used in application…
Deep Learning Weight Pruning with RMT-SVD: Increasing Accuracy and Reducing Overfitting
Yitzchak Shmalo, Jonathan Jenkins, Oleksii Krupchytskyi
In this work, we present some applications of random matrix theory for the training of deep neural networks. Recently, random matrix theory (RMT) has been applied to the overfittin…