A semiparametric PDE model with a parametric physical part and a neural-network unknown mechanism is estimated by profiling maximum likelihood, with proofs of optimal nonparametric rates and root-n efficient inference on the physical parameters.
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Deep Semiparametric Partial Differential Equation Models
A semiparametric PDE model with a parametric physical part and a neural-network unknown mechanism is estimated by profiling maximum likelihood, with proofs of optimal nonparametric rates and root-n efficient inference on the physical parameters.