10 citations · 17 across the 16 of their papers we have counts for
4 papers · 1 filter
Enhancing time-frequency resolution with optimal transport and barycentric fusion of multiple spectrogram
David Valdivia, Elsa Cazelles, Cédric Févotte
Time-frequency representations, such as the short-time Fourier transform (STFT), are fundamental tools for analyzing non-stationary signals. However, their ability to achieve sharp…
Statistical Estimation of Monge Transport Maps via Brenier Potentials
Elsa Cazelles, Edouard Pauwels, Léo Portales
We introduce and analyze a statistical estimator for Monge transport maps: solutions to the quadratic optimal transport problem in the Euclidean space. For absolutely continuous so…
PCA of probability measures: Sparse and Dense sampling regimes
Gachon Erell, Jérémie Bigot, Elsa Cazelles
A common approach to perform PCA on probability measures is to embed them into a Hilbert space where standard functional PCA techniques apply. While convergence rates for estimatin…
Efficient Gaussian process learning via subspace projections
Elsa Cazelles, Felipe Tobar
We propose a novel training objective for GPs constructed using lower-dimensional linear projections of the data, referred to as \emph{projected likelihood} (PL). We provide a clos…