Author

Yumiharu Nakano

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Preprint Oct 2026

Convergence of kernel and neural-network methods for Hamilton--Jacobi--Bellman equations on unbounded domains

We derive error bounds from empirical squared residuals for two non-monotone, mesh-free approximations of Hamilton--Jacobi--Bellman equations on unbounded spatial domains: collocation with Wendland kernels under a native space norm constraint, and physics-informed neural networks with smooth activations under a Sobolev...

Yumiharu Nakano · 0 citations

Preprint Oct 2026

An inverse-stochastic-control Galerkin estimator for drift potentials

We consider the ill-posed inverse problem of recovering the drift potential of an overdamped Langevin diffusion from discrete, possibly irregular position observations. Specializing the suboptimality gap for inverse stochastic control to drift-potential recovery, we parametrize the associated value function in a finite...

Yumiharu Nakano · 0 citations