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math.OC2018
A bilevel learning approach for optimal observation placement in variational data assimilation
Paula Castro, Juan Carlos De los Reyes
In this paper we propose a bilevel optimization approach for the placement of space and time observations in variational data assimilation problems. Within the framework of supervi…
math.OC2018
Total Generalized Variation Regularization in Variational Data Assimilation for Burgers' Equation
J. C. De los Reyes, E. Loayza
We propose a second-order total generalized variation (TGV) regularization for the reconstruction of the initial condition in variational data assimilation problems. After showing…