45 citations · 85 across the 5 of their papers we have counts for
8 papers
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…
Stochastic elliptic operators defined by non-gaussian random fields with uncertain spectrum
Christian Soize
This paper present a construction and the analysis of a class of non-Gaussian positive-definite matrix-valued homogeneous random fields with uncertain spectral measure for stochast…
Computational modeling of the nonlinear stochastic dynamics of horizontal drillstrings
Americo Cunha, Christian Soize, Rubens Sampaio
This work intends to analyze the nonlinear stochastic dynamics of drillstrings in horizontal configuration. For this purpose, it considers a beam theory, with effects of rotatory i…
Probabilistic Learning on Manifolds (PLoM) with Partition
Christian Soize, Roger Ghanem
The probabilistic learning on manifolds (PLoM) introduced in 2016 has solved difficult supervised problems for the ``small data'' limit where the number N of points in the training…
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…
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…