110 citations · 238 across the 9 of their papers we have counts for
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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…
math.ST2020
Probabilistic Learning on Manifolds
Christian Soize, Roger Ghanem
This paper presents mathematical results in support of the methodology of the probabilistic learning on manifolds (PLoM) recently introduced by the authors, which has been used wit…