10 citations · 17 across the 6 of their papers we have counts for
7 papers
Latent Distance Estimation for Random Geometric Graphs
Ernesto Araya, Yohann De Castro
Random geometric graphs are a popular choice for a latent points generative model for networks. Their definition is based on a sample of points on the Eucl…
SuperMix: Sparse Regularization for Mixtures
Yohann de Castro, Sébastien Gadat, Clément Marteau +1
This paper investigates the statistical estimation of a discrete mixing measure 0 involved in a kernel mixture model. Using some recent advances in l1-regularization over the sp…
Convex Regularization and Representer Theorems
Claire Boyer, Antonin Chambolle, Yohann de Castro +3
We establish a result which states that regularizing an inverse problem with the gauge of a convex set yields solutions which are linear combinations of a few extreme points or…
On Representer Theorems and Convex Regularization
Claire Boyer, Antonin Chambolle, Yohann De Castro +3
We establish a general principle which states that regularizing an inverse problem with a convex function yields solutions which are convex combinations of a small number of atoms.…
D-optimal design for multivariate polynomial regression via the Christoffel function and semidefinite relaxations
Yohann De Castro, F Gamboa, D Henrion +2
We present a new approach to the design of D-optimal experiments with multivariate polynomial regressions on compact semi-algebraic design spaces. We apply the moment-sum-of-square…
Exact solutions to Super Resolution on semi-algebraic domains in higher dimensions
Y De Castro, F Gamboa, D Henrion +1
We investigate the multi-dimensional Super Resolution problem on closed semi-algebraic domains for various sampling schemes such as Fourier or moments. We present a new semidefinit…