1 citations · 2 across the 7 of their papers we have counts for
8 papers
Absorption cutoff and stationary singularities for rounded Gaussian random dynamical systems
Benny Avelin
We study Gaussian random dynamical systems with coordinatewise nonlinearity, where finite precision is modeled by nearest-grid rounding after each step. Gaussian symmetry r…
Non-parametric estimation of non-linear diffusion coefficient in parabolic SPDEs
Martin Andersson, Benny Avelin, Valentin Garino +2
In this article, we introduce a novel non-parametric predictor, based on conditional expectation, for the unknown diffusion coefficient function in the stochastic partial diffe…
On the Effectiveness of Classical Regression Methods for Optimal Switching Problems
Martin Andersson, Benny Avelin, Marcus Olofsson
Simple regression methods provide robust, near-optimal solutions for optimal switching problems, including high-dimensional ones (up to 50). While the theory requires solving intra…
How iteration order influences convergence and stability in deep learning
Benoit Dherin, Benny Avelin, Anders Karlsson +3
Despite exceptional achievements, training neural networks remains computationally expensive and is often plagued by instabilities that can degrade convergence. While learning rate…
Sequential inductive prediction intervals
Benny Avelin
In this paper we explore the concept of sequential inductive prediction intervals using theory from sequential testing. We furthermore introduce a 3-parameter PAC definition of pre…
Exploring Singularities in point clouds with the graph Laplacian: An explicit approach
Martin Andersson, Benny Avelin
We develop theory and methods that use the graph Laplacian to analyze the geometry of the underlying manifold of datasets. Our theory provides theoretical guarantees and explicit b…
Deep limits and cut-off phenomena for neural networks
Benny Avelin, Anders Karlsson
We consider dynamical and geometrical aspects of deep learning. For many standard choices of layer maps we display semi-invariant metrics which quantify differences between data or…
Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI
Taro Langner, Fredrik K. Gustafsson, Benny Avelin +3
Along with rich health-related metadata, medical images have been acquired for over 40,000 male and female UK Biobank participants, aged 44-82, since 2014. Phenotypes derived from…