Arnaud Vadeboncoeur
I am a postdoctoral research associate in the Computational Statistics and Machine Learning Lab at the University of Cambridge, working with Prof. Mark Girolami.
My research is at the interface of statistical AI and computational mechanics for engineering applications.
I completed my PhD at Cambridge with Prof. Fehmi Cirak. You can find my thesis here:
Variational Inference and Probabilistic Models for Parametric Partial Differential Equations.
Research Vision
My goal is to bridge the trust gap in applying data-driven machine learning to engineering systems and scientific computing.
I develop statistical machine learning methods to build dependable models of our built environment.
Recently, I have been focusing on developing uncertainty quantification methodologies through learning highly informative priors
from collections of physical systems via generative models.
In particular, in
Efficient Prior Calibration From Indirect Data,
we learn optimal prior parameters of a pushforward model through a distribution matching approach. Furthermore, we concurrently learn a
surrogate model in the form of a Neural Operator through bi-level opitmization to accelerate learning and obtain a scalable algorithm.
Building on this, Efficient Deconvolution in Populational Inverse Problems
extends this methodology to solve the blind deconvolution problem, where we learn the distribution of higly correlated polluting noise.
The proposed methodologies are applied to important problems in engineering and science, namely porous medium flow, elastodynamics, and
simplified models of atmospheric dynamics.
Links & Contact
Publications
- Efficient Prior Calibration From Indirect Data
- O. Deniz Akyildiz, Mark Girolami, Andrew M. Stuart, Arnaud Vadeboncoeur*
- SIAM Journal on Scientific Computing (2025), arxiv and Code
- A Primer on Variational Inference for Physics-Informed Deep Generative Modelling
- Alex Glyn-Davies♯, Arnaud Vadeboncoeur*♯, O. Deniz Akyildiz, Ieva Kazlauskaite and Mark Girolami
- Philosophical Transactions of the Royal Society A, (2025)
- Statistical Finite Element Method: A Theoretical Foundation for Digital Twins
- Connor Duffin, Alex Glyn-Davies*, Arnaud Vadeboncoeur, and Mark Girolami
- Accepted: Quality Engineering, (2025)
- Probabilistic
Super-Resolution for High-Fidelity Physical System Simulations with Uncertainty Quantification
- Pengyu Zhang*, Connor Duffin, Alex Glyn-Davies, Arnaud Vadeboncoeur, and Mark Girolami
- Accepted: 11th International Operational Modal Analysis Conference (IOMAC), (2025)
- Deep Probabilistic Models for Forward and Inverse Problems in Parametric PDEs
- Arnaud Vadeboncoeur*, O. Deniz Akyildiz, Ieva Kazlauskaite, Mark Girolami, Fehmi Cirak
- Journal of Computational Physics, (2023), Code
- Random Grid Neural Processes for Parametric Partial Differential Equations
- Arnaud Vadeboncoeur*, Ieva Kazlauskaite, Yanni Papandreou, Fehmi Cirak, Mark Girolami, O. Deniz Akyildiz
- International Conference on Machine Learning (ICML), (2023), Code
-
Experimental and Analytical Investigation into the Effect of Corrosion on the Flexural Response of Reinforced
Concrete Beams
- Wesam Njeem*, Arnaud Vadeboncoeur, Beatriz Martı́n-Pérez, Ahmad Jrade, Hassan Aoude
- Canadian Society for Civil Engineering Conference Proceedings (2019)
Preprints
* Corresponding author ♯ Equal contribution