45 citations · 85 across the 5 of their papers we have counts for
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stat.ML2022
Probabilistic learning constrained by realizations using a weak formulation of Fourier transform of probability measures
Christian Soize
This paper deals with the taking into account a given set of realizations as constraints in the Kullback-Leibler minimum principle, which is used as a probabilistic learning algori…
stat.ML2020★ 39 cited
Probabilistic learning on manifolds constrained by nonlinear partial differential equations for small datasets
Christian Soize, Roger Ghanem
A novel extension of the Probabilistic Learning on Manifolds (PLoM) is presented. It makes it possible to synthesize solutions to a wide range of nonlinear stochastic boundary valu…
stat.ML2019
Sampling of Bayesian posteriors with a non-Gaussian probabilistic learning on manifolds from a small dataset
Christian Soize, Roger Ghanem
This paper tackles the challenge presented by small-data to the task of Bayesian inference. A novel methodology, based on manifold learning and manifold sampling, is proposed for s…