The Johnson-Lindenstrauss random projection lemma gives a simple way to reduce the dimensionality of a set of points while approximately preserving their pairwise distances. The m...
Elimination is a basic algebraic operation which geometrically corresponds to projections. This article describes using the numerical algebraic geometric concept of witness sets t...
Abstract. The simplex method in Linear Programming motivates several problems of asymptotic convex geometry. We discuss some conjectures and known results in two related directions...
We propose a general approach to the reconstruction of brain white matter geometry from diffusion-weighted data. This approach is based on an inverse problem framework. The optimal...
Yann Cointepas, Cyril Poupon, Denis Le Bihan, Jean...
We present new constructions for (n, w, ) optical orthogonal codes (OOC) using techniques from finite projective geometry. In one case codewords correspond to (q - 1)-arcs contain...