90 citations · 503 across the 77 of their papers we have counts for
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Deep learning architectures for nonlinear operator functions and nonlinear inverse problems
Maarten V. de Hoop, Matti Lassas, Christopher A. Wong
We develop a theoretical analysis for special neural network architectures, termed operator recurrent neural networks, for approximating nonlinear functions whose inputs are linear…
A weight-adjusted discontinuous Galerkin method for the poroelastic wave equation: penalty fluxes and micro-heterogeneities
Khemraj Shukla, Jesse Chan, Maarten V. de Hoop +1
We introduce a high-order weight-adjusted discontinuous Galerkin (WADG) scheme for the numerical solution of three-dimensional (3D) wave propagation problems in anisotropic porous…
Determination of a compact Finsler manifold from its boundary distance map and an inverse problem in elasticity
Maarten V. De Hoop, Joonas Ilmavirta, Matti Lassas +1
We prove that the boundary distance map of a smooth compact Finsler manifold with smooth boundary determines its topological and differentiable structures. We construct the optimal…