Paul Egels (pegels@lpsm.paris)
I do research in mathematics applied to statistics and machine learning. Currently, I am a PhD student at LPSM supervised by Prof.
Ismaël Castillo.
My work focuses on high-dimensional statistics, in particular Bayesian nonparametrics, variational inference and Bayesian deep learning. I am also interested in approximation theory and other theoretical aspects of machine learning.
Preprint(s)
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Posterior and variational inference for deep neural networks with heavy-tailed weights, with Ismaël Castillo, [arXiv].
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Heavy-tailed and Horseshoe priors for regression and sparse Besov rate, with Sergios Agapiou & Ismaël Castillo, [arXiv].
Talks and posters
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St-Flour summer school (St-flour, Jul 2025)
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JDS (Marseille, Jun 2025)
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BISP14 (Milan, May 2025)
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Journées MAS (Poitiers, Aug 2024)
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ISBA world meeting (Venice, Jul 2024)
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BAYSM (poster; Venice, Jun 2024)
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LPSM Doctoral Seminar (Paris, Feb 2024)
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Workshop ANR BACKUP (Paris, Dec 2023)
Teaching
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Practial sessions for the course of Computational Statistics (M1) at Sorbonne University, 2023-24
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Lectures in Probabilty and Statistics for third year engineering students (AGRAL) at Polytech Sorbonne, 2023-25
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TA for the course of Measure and Integration (L3) at Sorbonne University, 2024-26
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TA for the course of Statistics (L3) at Sorbonne University, 2025