Publications
2025
C Louart, “Operation with concentration inequalities”, Submitted to Annals of Applied Probability [paper].
2024
R Ilbert, M Tiomoko, C Louart, V Feofanov, T Palpanas, I Redko, “Enhancing Multivariate Time Series Forecasting via Multi-Task Learning and Random Matrix Theory”, NeurIPS Workshop on Time Series in the Age of Large Models [paper].
2023
C Louart, “Random matrix theory and concentration of the measure theory for the study of high dimension data processing.” [thesis manuscript].
2022
C Louart, R Couillet, “A Concentration of Measure and Random Matrix Approach to Large Dimensional Robust Statistics”, The Annals of Applied Probability [paper].
2021
MEA.Seddik, C.Louart, R.Couillet, M.Tamaazousti, “The Unexpected Deterministic and Universal Behavior of Large Softmax Classifiers”, AISTATS’2021. [paper] [bibtex][github][interactive julia code (takes some minuts to charge)].
2020
MEA.Seddik, C.Louart, M.Tamaazousti, R.Couillet, “Random Matrix Theory Proves that Deep Learning Representations of GAN-data Behave as Gaussian Mixtures”, ICML’2020. [paper] [arxiv] [slides] [bibtex].
2019
C Louart, R Couillet, “Concentration of Measure and Large Random Matrices with an application to Sample Covariance Matrices”, arXiv preprint arXiv:1805.08295 (2019) [paper] [paper].
M Tiomoko, C Louart, R Couillet, “Large Dimensional Asymptotics of Multi-task Learning”, IEEE International Conference on Acoustics, Speech and Signal Processings (ICASSP’19) [paper].
C. Louart, R. Couillet, “A concentration of measure perspective to robust statistics”, IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP’19)[paper].
2018
C Louart, Z Liao, R Couillet, “A random matrix approach to neural networks”, The Annals of Applied Probability 28 (2), 1190-1248 [paper].
C Louart, R Couillet, “A Random Matrix and Concentration Inequalities Framework for Neural Networks Analysis” IEEE International Conference on Acoustics, Speech and Signal Processings (ICASSP’18) [paper].
2017
C Louart, R Couillet, “Harnessing neural networks: A random matrix approach”, IEEE International Conference on Acoustics, Speech and Signal Processings (ICASSP’17) [paper].