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 • 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.
no code implementations • 20 May 2020 • Florent Bouchard, Ammar Mian, Jialun Zhou, Salem Said, Guillaume Ginolhac, Yannick Berthoumieu
A new Riemannian geometry for the Compound Gaussian distribution is proposed.