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Nonlinear filtering based on density approximation and deep BSDE prediction

math.NA · 2025-08-14 · conditional · novelty 6.0

A deep BSDE neural network method approximates unnormalized filtering densities for nonlinear Bayesian filtering, trained offline and applied online, with a hybrid a priori-a posteriori error bound proved under the parabolic Hörmander condition.

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  • Nonlinear filtering based on density approximation and deep BSDE prediction math.NA · 2025-08-14 · conditional · none · ref 48

    A deep BSDE neural network method approximates unnormalized filtering densities for nonlinear Bayesian filtering, trained offline and applied online, with a hybrid a priori-a posteriori error bound proved under the parabolic Hörmander condition.