90 citations · 503 across the 77 of their papers we have counts for
5 papers · 1 filter
Inverse problem for the Rayleigh system with spectral data
Maarten V. de Hoop, Alexei Iantchenko
We analyze an inverse problem associated with the time-harmonic Rayleigh system on a flat elastic half-space concerning the recovery of Lamé parameters in a slab beneath a traction…
Universal Joint Approximation of Manifolds and Densities by Simple Injective Flows
Michael Puthawala, Matti Lassas, Ivan Dokmanić +1
We study approximation of probability measures supported on -dimensional manifolds embedded in by injective flows -- neural networks composed of invertible flows…
Convergence Rates for Learning Linear Operators from Noisy Data
Maarten V. de Hoop, Nikola B. Kovachki, Nicholas H. Nelsen +1
This paper studies the learning of linear operators between infinite-dimensional Hilbert spaces. The training data comprises pairs of random input vectors in a Hilbert space and th…
Stable reconstruction of simple Riemannian manifolds from unknown interior sources
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas +1
Consider the geometric inverse problem: There is a set of delta-sources in spacetime that emit waves travelling at unit speed. If we know all the arrival times at the boundary cyli…
Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas
Dix formulated the inverse problem of recovering an elastic body from the measurements of wave fronts of point sources. We geometrize this problem in the context of seismology, lea…