Search Results for author: Arnaud Breloy

Found 7 papers, 4 papers with code

Sparse PCA with False Discovery Rate Controlled Variable Selection

no code implementations16 Jan 2024 Jasin Machkour, Arnaud Breloy, Michael Muma, Daniel P. Palomar, Frédéric Pascal

Sparse principal component analysis (PCA) aims at mapping large dimensional data to a linear subspace of lower dimension.

Dimensionality Reduction Variable Selection

Natural Bayesian Cramér-Rao Bound with an Application to Covariance Estimation

no code implementations8 Nov 2023 Florent Bouchard, Alexandre Renaux, Guillaume Ginolhac, Arnaud Breloy

In this paper, we propose to develop a new Cram\'er-Rao Bound (CRB) when the parameter to estimate lies in a manifold and follows a prior distribution.

The Fisher-Rao geometry of CES distributions

no code implementations2 Oct 2023 Florent Bouchard, Arnaud Breloy, Antoine Collas, Alexandre Renaux, Guillaume Ginolhac

When dealing with a parametric statistical model, a Riemannian manifold can naturally appear by endowing the parameter space with the Fisher information metric.

Riemannian optimization

Entropic Wasserstein Component Analysis

1 code implementation9 Mar 2023 Antoine Collas, Titouan Vayer, Rémi Flamary, Arnaud Breloy

Dimension reduction (DR) methods provide systematic approaches for analyzing high-dimensional data.

Dimensionality Reduction

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