1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.PR2021
Remarks on existence and uniqueness of the solution for stochastic partial differential equations
Benny Avelin, Lauri Viitasaari
In this article we consider existence and uniqueness of the solutions to a large class of stochastic partial differential of form , dri…
math.AP2020★ 1 cited
Approximation of BV functions by neural networks: A regularity theory approach
Benny Avelin, Vesa Julin
In this paper we are concerned with the approximation of functions by single hidden layer neural networks with ReLU activation functions on the unit circle. In particular, we are i…
stat.ML2019
Neural ODEs as the Deep Limit of ResNets with constant weights
Benny Avelin, Kaj Nyström
In this paper we prove that, in the deep limit, the stochastic gradient descent on a ResNet type deep neural network, where each layer shares the same weight matrix, converges to t…