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Arnaud Descours

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Books and Theses

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2023
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Arnaud Descours:
Towards a mathematical understanding of deep neural network using a mean field analysis. (Vers une compréhension mathématiques des réseaux neuronaux profonds par une analyse champ moyen). University of Clermont Auvergne, Clermont-Ferrand, France, 2023

Journal Articles

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2024
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Arnaud Descours, Arnaud Guillin, Manon Michel, Boris Nectoux:
Law of Large Numbers and Central Limit Theorem for Wide Two-layer Neural Networks: The Mini-Batch and Noisy Case. J. Mach. Learn. Res. 25: 208:1-208:76 (2024)

Conference and Workshop Papers

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2023
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Arnaud Descours, Tom Huix, Arnaud Guillin, Manon Michel, Éric Moulines, Boris Nectoux:
Law of Large Numbers for Bayesian two-layer Neural Network trained with Variational Inference. COLT 2023: 4657-4695

Informal and Other Publications

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2024
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Arnaud Descours, Tom Huix, Arnaud Guillin, Manon Michel, Éric Moulines, Boris Nectoux:
Central Limit Theorem for Bayesian Neural Network trained with Variational Inference. CoRR abs/2406.09048 (2024)

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