21 citations · 31 across the 5 of their papers we have counts for
8 papers
Harnessing Mixed Features for Imbalance Data Oversampling: Application to Bank Customers Scoring
Abdoulaye Sakho, Emmanuel Malherbe, Carl-Erik Gauthier +1
This study investigates rare event detection on tabular data within binary classification. Standard techniques to handle class imbalance include SMOTE, which generates synthetic sa…
Fermi acceleration in rotating drums
Krzysztof Burdzy, Mauricio Duarte, Carl-Erik Gauthier +2
Consider hard balls in a bounded rotating drum. If there is no gravitation then there is no Fermi acceleration, i.e., the energy of the balls remains bounded forever. If there is g…
Billiards with Markovian reflection laws
Clayton Barnes, Krzysztof Burdzy, Carl-Erik Gauthier
We construct a class of reflection laws for billiard processes in the unit interval whose stationary distribution for the billiard position and its velocity is the product of the u…
Knudsen gas in flat tire
Krzysztof Burdzy, Carl-Erik Gauthier
We consider random reflections (according to the Lambertian distribution) of a light ray in a thin variable width (but almost circular) tube. As the width of the tube goes to zero,…
Central Limit Theorem for a Self-Repelling Diffusion
Carl-Erik Gauthier
We prove a Central Limit Theorem for the finite dimensional distributions of the displacement for the 1D self-repelling diffusion which solves \begin{equation*} dX_t =dB_t -\big(G'…
Self-repelling diffusions on a Riemannian manifold
Michel Benaïm, Carl-Erik Gauthier
Let M be a compact connected oriented Riemannian manifold. The purpose of this paper is to investigate the long time behavior of a degenerate stochastic differential equation on th…
Self attracting diffusions on a sphere and application to a periodic case
Carl-Erik Gauthier
This paper proves almost-sure convergence for the self-attracting diffusion on the unit sphere $$dX(t)=σdW_{t}(X(t))-a\int_{0}^{t}\nabla_{\mathbb{S}^n}V_{X_s}(X_t) dsdt,\qquad X(0)…
Self-repelling diffusions via an infinite dimensional approach
Michel Benaim, Ioana Ciotir, Carl-Erik Gauthier
In the present work we study self-interacting diffusions following an infinite dimensional approach. First we prove existence and uniqueness of a solution with Markov property. The…