Search Results for author: Frédéric Pascal

Found 10 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

Convex Parameter Estimation of Perturbed Multivariate Generalized Gaussian Distributions

no code implementations12 Dec 2023 Nora Ouzir, Frédéric Pascal, Jean-Christophe Pesquet

In robust estimation, imposing classical constraints on the precision matrix, such as sparsity, has been limited by the non-convexity of the resulting cost function.

Choosing the parameter of the Fermat distance: navigating geometry and noise

no code implementations30 Nov 2023 Frédéric Chazal, Laure Ferraris, Pablo Groisman, Matthieu Jonckheere, Frédéric Pascal, Facundo Sapienza

The Fermat distance has been recently established as a useful tool for machine learning tasks when a natural distance is not directly available to the practitioner or to improve the results given by Euclidean distances by exploding the geometrical and statistical properties of the dataset.

Navigate

A Robust and Flexible EM Algorithm for Mixtures of Elliptical Distributions with Missing Data

1 code implementation28 Jan 2022 Florian Mouret, Alexandre Hippert-Ferrer, Frédéric Pascal, Jean-Yves Tourneret

To overcome this issue, a new EM algorithm is investigated for mixtures of elliptical distributions with the property of handling potential missing data.

Imputation

Robust classification with flexible discriminant analysis in heterogeneous data

1 code implementation9 Jan 2022 Pierre Houdouin, Frédéric Pascal, Matthieu Jonckheere, Andrew Wang

Linear and Quadratic Discriminant Analysis are well-known classical methods but can heavily suffer from non-Gaussian distributions and/or contaminated datasets, mainly because of the underlying Gaussian assumption that is not robust.

Classification Robust classification

PCA-based Multi Task Learning: a Random Matrix Approach

no code implementations1 Nov 2021 Malik Tiomoko, Romain Couillet, Frédéric Pascal

The article proposes and theoretically analyses a \emph{computationally efficient} multi-task learning (MTL) extension of popular principal component analysis (PCA)-based supervised learning schemes \cite{barshan2011supervised, bair2006prediction}.

Multi-Task Learning

Riemannian classification of EEG signals with missing values

no code implementations19 Oct 2021 Alexandre Hippert-Ferrer, Ammar Mian, Florent Bouchard, Frédéric Pascal

This paper proposes a strategy to handle missing data for the classification of electroencephalograms using covariance matrices.

Classification EEG

Properties of a new $R$-estimator of shape matrices

no code implementations27 Feb 2020 Stefano Fortunati, Alexandre Renaux, Frédéric Pascal

This paper aims at presenting a simulative analysis of the main properties of a new $R$-estimator of shape matrices in Complex Elliptically Symmetric (CES) distributed observations.

Robust Semiparametric Efficient Estimators in Elliptical Distributions

3 code implementations6 Feb 2020 Stefano Fortunati, Alexandre Renaux, Frédéric Pascal

The class of elliptical distributions can be seen as a semiparametric model where the finite-dimensional vector of interest is given by the location vector and by the (vectorized) covariance/scatter matrix, while the density generator represents an infinite-dimensional nuisance function.

A flexible EM-like clustering algorithm for noisy data

2 code implementations2 Jul 2019 Violeta Roizman, Matthieu Jonckheere, Frédéric Pascal

Though very popular, it is well known that the EM for GMM algorithm suffers from non-Gaussian distribution shapes, outliers and high-dimensionality.

Clustering

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