Correlation flow governs learning at criticality
Connecting the flow of correlations through deep networks to their learning dynamics at criticality.
Physics · École normale supérieure de Lyon
PhD student in physics
My work has involved various projects centered on temporal and spatial simulations, with a particular focus on stochastic and physical phenomena. On this website, I will present several significant projects broadly covering the field of computational physics. We will explore the numerical resolution of various types of partial differential equations (PDEs) applied to a wide range of physical phenomena
Connecting the flow of correlations through deep networks to their learning dynamics at criticality.
A way to initialise sinusoidal networks that controls gradients and improves how they learn functions and images.
Simulating how microwaves scatter in turbulent plasma, with machine learning to improve turbulence measurements.
Master 1 · ENS de Lyon
Exercises in numerical methods for fluid dynamics. Read the notebooks here, or download them to work through in Jupyter.
Bachelor - L3 · ENS de Lyon
Mathematical basics for the physics, in linear algebra, complex analysis, functional and distribution theory.
ENS de Lyon
ENS Paris · M1 ICFP
ENS de Lyon · M2 Numerical Modelling
ENS Paris
Lycée Joffre, Montpellier
Notes on numerical methods, physics, and machine learning.

Euler methods, Runge–Kutta schemes, and chaotic dynamics.

From finite differences to the two-dimensional Poisson equation.

Periodic functions, aliasing, and the two-thirds filtering rule.

Polynomial interpolation, Chebyshev nodes, and the Runge phenomenon.

Spectral differentiation and the numerical solution of wave equations.

Newton’s method, stability, and the geometry of Newton fractals.
Learning a function from observations and physical constraints.
For questions about my work or teaching, feel free to write.
andrea.combette@ens-lyon.fr