110 citations · 407 across the 19 of their papers we have counts for
Showing 2020 · stat.MLShow all
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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…
stat.ML2020★ 2 cited
Normal-bundle Bootstrap
Ruda Zhang, Roger Ghanem
Probabilistic models of data sets often exhibit salient geometric structure. Such a phenomenon is summed up in the manifold distribution hypothesis, and can be exploited in probabi…