Search Results for author: Frederic Pascal

Found 5 papers, 0 papers with code

FEMDA: a unified framework for discriminant analysis

no code implementations13 Nov 2023 Pierre Houdouin, Matthieu Jonckheere, Frederic Pascal

Although linear and quadratic discriminant analysis are widely recognized classical methods, they can encounter significant challenges when dealing with non-Gaussian distributions or contaminated datasets.

Algorithme EM régularisé

no code implementations4 Jul 2023 Pierre Houdouin, Matthieu Jonkcheere, Frederic Pascal

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing maximum likelihood estimate when dealing with Gaussian Mixture Model (GMM).

Clustering

FEMDA: Une méthode de classification robuste et flexible

no code implementations4 Jul 2023 Pierre Houdouin, Matthieu Jonckheere, Frederic Pascal

Linear and Quadratic Discriminant Analysis (LDA and QDA) 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

Regularized EM algorithm

no code implementations27 Mar 2023 Pierre Houdouin, Esa Ollila, Frederic Pascal

We show that the theoretical guarantees of convergence hold, leading to better performing EM algorithm for structured covariance matrix models or with low sample settings.

M-estimators of scatter with eigenvalue shrinkage

no code implementations12 Feb 2020 Esa Ollila, Daniel P. Palomar, Frederic Pascal

A popular regularized (shrinkage) covariance estimator is the shrinkage sample covariance matrix (SCM) which shares the same set of eigenvectors as the SCM but shrinks its eigenvalues toward its grand mean.

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