Architecture et numérique, deux ontologies solidaires

Représentations parcimonieuses et applications en communication numérique

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...

Analyse numérique et réduction de réseaux

The algorithmic facet of euclidean lattices is a frequent tool in computer science and mathematics. It mainly relies on the LLL reduction, making worthwile efficiency improvements. Schnorr proved that the LLL algorithm can be speeded up if one computes approximations to the underlying Gram-Schmidt orthogonalisations. Without approximations, these computations dominate the cost of the reduction....

et fort courant avec commande numérique

Simulation moléculaire et effets d'environnement - Une perspective mathématique et numérique

Colinearité et Instabilité Numérique dans le Modèle Linéaire

In this paper we give the expression of the multiple corrélation coefficient in a linear model according to the coefficients of corrélation. This expression makes it possible to analyze from a numerical point ofview the instability of estimâtes in the case of collinear explanatory variables in the linear model or in the autoregressive model. This numerical approach, thaï we show on two examples...