A neural network learns a state-dependent low-rank approximation of the 4D-Var Hessian and uses it to precondition conjugate gradient, cutting iterations by about 30 percent in a shallow-water test.
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State-dependent preconditioning for the inner-loop in Variational Data Assimilation using Machine Learning
A neural network learns a state-dependent low-rank approximation of the 4D-Var Hessian and uses it to precondition conjugate gradient, cutting iterations by about 30 percent in a shallow-water test.