3 citations · 3 across the 11 of their papers we have counts for
5 papers · 1 filter
Empirical optimal transport potentials: fast rates and a functional central limit theorem
Alberto González-Sanz, Gilles Mordant, Shunan Sheng
Optimal transport potentials are fundamental objects in statistics, economics, and machine learning: their gradients generate optimal transport maps, while the potentials themselve…
Estimation of Algebraic Sets: Extending PCA Beyond Linearity
Alberto González-Sanz, Gilles Mordant, Álvaro Samperio +1
An algebraic set is defined as the zero locus of a system of real polynomial equations. In this paper we address the problem of recovering an unknown algebraic set fr…
The entropic optimal (self-)transport problem: Limit distributions for decreasing regularization with application to score function estimation
Gilles Mordant
We study the statistical properties of the entropic optimal (self) transport problem for smooth probability measures. We provide an accurate description of the limit distribution f…
Regularised optimal self-transport is approximate Gaussian mixture maximum likelihood
Gilles Mordant
We investigate the link between regularised self-transport problems and maximum likelihood estimation in Gaussian mixture models (GMM). This link suggests that self-transport follo…
About limiting spectral distributions of block-rescaled empirical covariance matrices
Gilles Mordant
We establish that the limiting spectral distribution of a block-rescaled empirical covariance matrix is an arcsine law when the ratio between the dimension and the underlying sampl…