5 papers
Gaussian random field's anisotropy using excursion sets
Jean-Marc Azaïs, Federico Dalmao, Yohann De Castro
This paper addresses the problem of detecting and estimating the anisotropy of a stationary real-valued random field from a single realization of one of its excursion sets. This se…
Effective regions and kernels in continuous sparse regularisation, with application to sketched mixtures
Yohann De Castro, Rémi Gribonval, Nicolas Jouvin
This paper advances the general theory of continuous sparse regularisation on measures with the Beurling-LASSO (BLASSO). This TV-regularised convex program on the space of measures…
Node Regression on Latent Position Random Graphs via Local Averaging
Martin Gjorgjevski, Nicolas Keriven, Simon Barthelmé +1
Node regression consists in predicting the value of a graph label at a node, given observations at the other nodes. To gain some insight into the performance of various estimators…
Dual optimal design and the Christoffel-Darboux polynomial
Yohann de Castro, Fabrice Gamboa, Didier Henrion +1
The purpose of this short note is to show that the Christoffel-Darboux polynomial, useful in approximation theory and data science, arises naturally when deriving the dual to the p…
Nonnegative matrix factorization with side information for time series recovery and prediction
Jiali Mei, Yohann De Castro, Yannig Goude +2
Motivated by the reconstruction and the prediction of electricity consumption, we extend Nonnegative Matrix Factorization~(NMF) to take into account side information (column or row…