90 citations · 503 across the 77 of their papers we have counts for
7 papers · 1 filter
Dimension-Free Multimodal Sampling via Preconditioned Annealed Langevin Dynamics
Lorenzo Baldassari, Josselin Garnier, Knut Solna +1
Designing sampling algorithms for multimodal targets that remain stable under refinement of the finite-dimensional approximation of an underlying function-space problem is a centra…
The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks
Maarten V. de Hoop, Daniel Zhengyu Huang, Elizabeth Qian +1
The term `surrogate modeling' in computational science and engineering refers to the development of computationally efficient approximations for expensive simulations, such as thos…
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…
Inverse boundary value problem for the Helmholtz equation: Multi-level approach and iterative reconstruction
Elena Beretta, Maarten V. de Hoop, Lingyun Qiu +1
We study the inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map at selected frequency as the data. We develop an explicit reconstruction o…
Multiscale reverse-time-migration-type imaging using the dyadic parabolic decomposition of phase space
Fredrik Andersson, Maarten V. de Hoop, Herwig Wendt
We develop a representation of reverse-time migration in terms of Fourier integral operators the canonical relations of which are graphs. Through the dyadic parabolic decomposition…
Multi-scale discrete approximations of Fourier integral operators associated with canonical transformations and caustics
Maarten V. de Hoop, Gunther Uhlmann, Andras Vasy +1
We develop an algorithm for the computation of general Fourier integral operators associated with canonical graphs. The algorithm is based on dyadic parabolic decomposition using w…
A convergence analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints
Maarten V. de Hoop, Lingyun Qiu, Otmar Scherzer
We consider nonlinear inverse problems described by operator equations in Banach spaces. Assuming conditional stability of the inverse problem, that is, assuming that stability hol…