31 citations · 41 across the 15 of their papers we have counts for
16 papers
Analytical study of the optimal combination of binary classifiers based on classifiers-induced partitioning of the training set
Jean-Marc Brossier, Olivier Lafitte
This paper studies an optimal linear combination of binary classifiers based on a logical structuration of the dataset via truth tables. The given classifiers partition data into e…
Analytic expression of the DOS for a new model of 1d-potential and its random perturbation
Hakim Boumaza, Olivier Lafitte
In this article we present comparisons between the spectrum of a one-dimensional Schrödinger operator for a particular periodic potential and for its restriction to a finite number…
When Analytic Calculus Cracks AdaBoost Code
Jean-Marc Brossier, Olivier Lafitte, Lenny Réthoré
The principle of boosting in supervised learning involves combining multiple weak classifiers to obtain a stronger classifier. AdaBoost has the reputation to be a perfect example o…
The reflection coefficient of a fractional reflector
Laurent Demanet, Olivier Lafitte
This paper considers the question of characterizing the behavior of waves reflected by a fractional singularity of the wave speed profile, i.e., of the form \[ c(x_1, x_2, x_3) = c…
Error estimates for Gaussian beams at a fold caustic
Olivier Lafitte, Olof Runborg
In this work we show an error estimate for a first order Gaussian beam at a fold caustic, approximating time-harmonic waves governed by the Helmholtz equation. For the caustic that…
Analytic solutions and numerical method for a coupled thermo-neutronic problem
Olivier Lafitte, François Dubois
We consider in this contribution a simplified idealized one-dimensional model in a nuclear core reactor coupling the diffusion equation on the neutron flux with the enthalpy equati…