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math.ST2020★ 17 cited
Learning with tree tensor networks: complexity estimates and model selection
Bertrand Michel, Anthony Nouy
Tree tensor networks, or tree-based tensor formats, are prominent model classes for the approximation of high-dimensional functions in computational and data science. They correspo…
math.ST2013★ 33 cited
Random fields representations for stochastic elliptic boundary value problems and statistical inverse problems
Anthony Nouy, Christian Soize
This paper presents new results allowing an unknown non-Gaussian positive matrix-valued random field to be identified through a stochastic elliptic boundary value problem, solving…