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Séminaire du CIMMUL – Alex Shestopaloff

20 octobre 2023 @ 13 h 30 min - 14 h 10 min

Uncertainty Quantification in Bayesian Reduced-Rank Sparse Regressions

Alex Shestopaloff

Memorial University of Newfoundland


Reduced-rank regression recognises the possibility of a rank-deficient matrix of coefficients, which is particularly useful when the data is high-dimensional. We propose a novel Bayesian model for estimating the rank of the rank of the coefficient matrix, which obviates the need of post-processing steps, and allows for uncertainty quantification. Our method employs a mixture prior on the regression coefficient matrix along with a global-local shrinkage prior on its low-rank decomposition.

Then, we rely on the Signal Adaptive Variable Selector to perform sparsification, and define two novel tools, the Posterior Inclusion Probability uncertainty index and the Relevance Index. The validity of the method is assessed in a simulation study, then its advantages and usefulness are shown in real-data applications on the chemical composition of tobacco and on the photometry of galaxies.

Joint work with Maria F. Pintado, Matteo Iacopini, Luca Rossini.


Le séminaire aura lieu au local 3820 du pavillon Alexandre-Vachon et en ligne.

Pour rejoindre la réunion Zoom :

Meeting ID: 626 8013 6430
Passcode: 693150


Date :
20 octobre 2023
Heure :
13 h 30 min - 14 h 10 min
Catégorie d’Évènement:




Pavillon Vachon
1045 Avenue de la Médecine
Québec, Québec G1V 0A6 Canada
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