# Matthieu Darcy

## PhD student in Computing and Mathematical Sciences

## California Institute of Technology

I am a third year PhD student in the Computing and Mathematical Sciences Department at Caltech, working under the supervision of Houman Owhadi. I am broadly interested in scientific machine learning, specifically in learning and predicting stochastic (partial) differential equations and stochastic time-series.

My current research includes

Inference of Stochastic Partial Differential Equations.

Numerical Methods for Stochastic Partial Differential Equations.

Operator Learning.

Learning Dynamical Systems.

## Recent news:

I gave a talk at CIRM ( in Marseille) and SciCADE (at NUS) on kernel methods and PINNS for rough partial differential equations (slides).

I gave a talk at SIAM Uncertainty Quantification 2024 on kernel methods for rough partial differential equations (slides).

I gave a talk at the International Conference: Differential Equations for Data Science on the inference of SDEs with kernel methods (slides)

My paper "Kernel methods are competitive for operator learning" is now out in the Journal of Computational Physics.

I gave a talk on "Kernel methods are competitive for Operator Learning" at the 10th International Congress on Industrial and Applied Mathematics - August 22nd 2023 (slides).

My new paper on kernel methods for operator learning is now available: https://arxiv.org/abs/2304.13202 - April 27th 2023.

I gave a talk in the DataSig Rough Path Interest Group on "Kernel methods are competitive for Operator Learning" - March 28th 2023

My paper on "One-shot learning of stochastic differential equations with data adapted kernels" was accepted in Physica D - November 2023.