no code implementations • 16 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.
no code implementations • 8 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.
no code implementations • 2 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.
1 code implementation • 9 Mar 2023 • Antoine Collas, Titouan Vayer, Rémi Flamary, Arnaud Breloy
Dimension reduction (DR) methods provide systematic approaches for analyzing high-dimensional data.
1 code implementation • 21 Oct 2022 • Alexandre Hippert-Ferrer, Florent Bouchard, Ammar Mian, Titouan Vayer, Arnaud Breloy
Graphical models and factor analysis are well-established tools in multivariate statistics.
1 code implementation • 7 Sep 2022 • Antoine Collas, Arnaud Breloy, Chengfang Ren, Guillaume Ginolhac, Jean-Philippe Ovarlez
The proposed Riemannian gradient descent algorithm is leveraged to solve this second minimization problem.
1 code implementation • 23 Feb 2022 • Antoine Collas, Arnaud Breloy, Guillaume Ginolhac, Chengfang Ren, Jean-Philippe Ovarlez
This paper proposes new algorithms for the metric learning problem.