Ph.D. in Statistics and Data Science
- Advised by Professor Theodor Misiakiewicz
Curriculum vitae
Hugo Latourelle-Vigeant
Ph.D. student in Statistics and Data Science
- Department of Statistics and Data Science, Yale University
- New Haven, CT, USA
Research interests
- Random matrix theory
- Machine learning theory
- Statistical-computational trade-offs
- High-dimensional probability
Education
2024-Present Expected 2030
2022-2024
M.Sc. in Mathematics and Statistics
- Thesis: The matrix Dyson equation for machine learning: Correlated linearizations and the test error in random features regression
- Co-advised by Professor Courtney Paquette and Professor Elliot Paquette
Publications & preprints
Generalization, memorization, and overfitting for diffusion models trained in the lazy high-dimensional regime
arXiv preprint arXiv:2608.23938 Preprint
Statistical-Computational Trade-offs in Learning Multi-Index Models via Harmonic Analysis
arXiv preprint arXiv:2602.09959 Preprint
Dyson Equation for Correlated Linearizations and Test Error of Random Features Regression
Random Matrices: Theory and Applications, 15(01), 2550026 Published
Talks & presentations
August 2026
Generalization, Memorization, and Overfitting in Kernel Denoising Score Matching in High Dimensions
Princeton University, Princeton, NJ
March 2024
Introduction to the Matrix Dyson Equation
December 2023
Matrix Dyson Equation for Correlated Linearizations
Montreal, QC
September 2023
Matrix Dyson Equation for Correlated Linearizations
McGill University, Montreal, QC
August 2021
GD and Large Linear Regression: Concentration and Asymptotics for a Spiked Model
McGill University, Montreal, QC
Teaching
Fall 2026
Statistical Inference S&DS4100/6100
Department of Statistics and Data Science
Spring 2026
Theory of Statistics S&DS2420
Department of Statistics and Data Science
Fall 2025
Probability Theory S&DS2410
Department of Statistics and Data Science
Fall 2022, Winter 2023, Winter 2024
Calculus 2 MATH 141
Department of Mathematics and Statistics
Winter 2023, Winter 2024
Convex Optimization MATH 463/563
Department of Mathematics and Statistics
Fall 2022
Linear Optimization MATH 417/517
Department of Mathematics and Statistics
Winter 2022
Optimization MATH 560
Department of Mathematics and Statistics
Academic service
Organization
Review
2026
Volunteering
Experience
Summer 2024
Data Science Intern
- Part of the natural language processing (NLP) team
- Conducted topic modeling and sentiment analysis on large-scale financial documents