6 papers
Faster PMNS Multi-precision Multiplications Using Truncated Montgomery Technique
Laurent-Stéphane Didier, Alexy Dutois-Ruiz, Jean-Marc Robert
The Polynomial Modular Number Systems (PMNS) aim to represent elements of fields or rings of large characteristics using polynomials satisfying bounds on some parameters (degree, a…
Quantifying Uncertainty In Wide Two-Layer Neural Networks: On The Law Of The Limiting Fluctuation Process
Arnaud Descours, Arnaud Guillin, Geoffrey Lacour +3
Uncertainty quantification in neural networks prediction is a main issue for usual applications. Our approach seeks at reducing computation costs by directly evaluating uncertainty…
Multi-patient Inverse Estimation of Effective Membrane Diffusion Coefficients in Calcium-Citrate Hemodialysis
Geoffrey Lacour, Nicolae Cîndea, Julien Aniort
We propose a multi-patient inverse modeling framework for identifying effective calcium and citrate diffusion coefficients in hollow-fiber hemodialysis devices. The approach relies…
Weak Solutions for a non-Newtonian Stokes-Transport System
Dimitri Cobb, Geoffrey Lacour
In this article, we study a non-Newtonian Stokes-Transport system. This set of PDEs was introduced as a model for describing the behavior of a cloud of particles in suspension in a…
Null controllability of quasilinear parabolic equations with gradient dependent coefficients
Nicolae Cindea, Geoffrey Lacour
The aim of this paper is to study the null controllability of a class of quasilinear parabolic equations. In a first step we prove that the associated linear parabolic equations wi…
Variational inequality solutions and finite stopping time for a class of shear-thinning flows
Laurent Chupin, Nicolae Cîndea, Geoffrey Lacour
The aim of this paper is to study the existence of a finite stopping time for solutions in the form of variational inequality to fluid flows following a power law (or Ostwald-DeWae…