Search Results for author: Matthieu Darcy

Found 2 papers, 1 papers with code

Kernel Methods are Competitive for Operator Learning

1 code implementation26 Apr 2023 Pau Batlle, Matthieu Darcy, Bamdad Hosseini, Houman Owhadi

We present a general kernel-based framework for learning operators between Banach spaces along with a priori error analysis and comprehensive numerical comparisons with popular neural net (NN) approaches such as Deep Operator Net (DeepONet) [Lu et al.] and Fourier Neural Operator (FNO) [Li et al.].

Operator learning Uncertainty Quantification

One-Shot Learning of Stochastic Differential Equations with Data Adapted Kernels

no code implementations24 Sep 2022 Matthieu Darcy, Boumediene Hamzi, Giulia Livieri, Houman Owhadi, Peyman Tavallali

(2) Complete the graph (approximate unknown functions and random variables) via Maximum a Posteriori Estimation (given the data) with Gaussian Process (GP) priors on the unknown functions.

One-Shot Learning

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