Skip to Main content Skip to Navigation
Conference papers

Generation of non-Gaussian tensor-valued random fields using an ISDE-based algorithm

Abstract : A random generator is constructed for non-Gaussian tensorvalued random fields. Specifically, it focuses on the generation of the class of Prior Algebraic Stochastic Models associated with elliptic operators, for which the family of first-order marginal probability distributions is constructed using the MaxEnt principle. The strategy essentially relies on the definition of a family of diffusion processes, the invariant measures of which coincide with the target system of first-order marginal probability distributions. Those processes are defined as the unique stationary solutions of a family of Ito stochastic differential equations, the definition of which involves the construction of a family of normalized Wiener processes. The definition of the later allows spatial dependencies to be generated and the algorithm turns out to be very efficient for high probabilistic dimensions, it does not suffer from the curse of dimensionnality that is inherently exhibited by Gaussian chaos expansions, for instance. The algorithm is finally validated through the generation of a matrix-valued non-Gaussian random field.
Complete list of metadatas

Cited literature [13 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-00806416
Contributor : Christian Soize <>
Submitted on : Wednesday, April 3, 2013 - 8:32:18 AM
Last modification on : Thursday, March 19, 2020 - 11:52:02 AM
Long-term archiving on: : Sunday, April 2, 2017 - 11:01:16 PM

File

conference-2013-ICOSSAR-June-1...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00806416, version 1

Collections

Citation

Johann Guilleminot, Christian Soize. Generation of non-Gaussian tensor-valued random fields using an ISDE-based algorithm. ICOSSAR 2013, 11th International Conference on Structural Safety and Reliability, Columbia University, Jun 2013, New-York, United States. pp.1-6. ⟨hal-00806416⟩

Share

Metrics

Record views

313

Files downloads

339