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math.OC2022★ 3 cited
Physically Constrained Covariance Inflation from Location Uncertainty
Yicun Zhen, Valentin Resseguier, Bertrand Chapron
Motivated by the concept of ``location uncertainty", initially introduced in \cite{Memin2013FluidFD}, a scheme is sought to perturb the ``location" of a state variable at every for…
math.OC2022
Bridging Koopman Operator and time-series auto-correlation based Hilbert-Schmidt operator
Yicun Zhen, Bertrand Chapron, Etienne Mémin
Given a stationary continuous-time process , the Hilbert-Schmidt operator can be defined for every finite \cite{Vautard1989SingularSA}. Let be the eigenval…