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Brian Staber

6 accepted papers

2025

Learning signals defined on graphs with optimal transport and Gaussian process regression

AISTATS 2025poster

In computational physics, machine learning has now emerged as a powerful complementary tool to explore efficiently candidate designs in engineering studies. Outputs in such supervised problems are signals defined on meshes, and a natural question is the extension of general scalar output regression…

Cited by 0SourceScholar
2024

Gaussian process regression with Sliced Wasserstein Weisfeiler-Lehman graph kernels

AISTATS 2024poster

Supervised learning has recently garnered significant attention in the field of computational physics due to its ability to effectively extract complex patterns for tasks like solving partial differential equations, or predicting material properties. Traditionally, such datasets consist of inputs gi…

2023

Kernel Stein Discrepancy thinning: a theoretical perspective of pathologies and a practical fix with regularization

NeurIPS 2023poster

Stein thinning is a promising algorithm proposed by (Riabiz et al., 2022) for post-processing outputs of Markov chain Monte Carlo (MCMC). The main principle is to greedily minimize the kernelized Stein discrepancy (KSD), which only requires the gradient of the log-target distribution, and is thus we…

2023

MMGP: a Mesh Morphing Gaussian Process-based machine learning method for regression of physical problems under nonparametrized geometrical variability

NeurIPS 2023poster

When learning simulations for modeling physical phenomena in industrial designs, geometrical variabilities are of prime interest. While classical regression techniques prove effective for parameterized geometries, practical scenarios often involve the absence of shape parametrization during the infe…