8 citations · 13 across the 9 of their papers we have counts for
9 papers
Semialgebraic Neural Networks: From roots to representations
S. David Mis, Matti Lassas, Maarten V. de Hoop
Many numerical algorithms in scientific computing -- particularly in areas like numerical linear algebra, PDE simulation, and inverse problems -- produce outputs that can be repres…
Deep Invertible Approximation of Topologically Rich Maps between Manifolds
Michael Puthawala, Matti Lassas, Ivan Dokmanic +2
How can we design neural networks that allow for stable universal approximation of maps between topologically interesting manifolds? The answer is with a coordinate projection. Neu…
Uniqueness in an inverse problem of fractional elasticity
Giovanni Covi, Maarten de Hoop, Mikko Salo
We study an inverse problem for fractional elasticity. In analogy to the classical problem of linear elasticity, we consider the unique recovery of the Lamé parameters associated t…
Semiclassical inverse spectral problem for elastic Rayleigh waves in isotropic media
Maarten V. de Hoop, Alexei Iantchenko, Robert D. van der Hilst +1
We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we extend the treatment of Love waves [arXiv: 1908.10529] to Rayleigh waves. U…
Analysis of dynamic ruptures generating seismic waves in a self-gravitating planet: an iterative coupling scheme and well-posedness
Maarten V. de Hoop, Kundan Kumar, Ruichao Ye
We study the solution of the system of equations describing the dynamical evolution of spontaneous ruptures generated in a prestressed elastic-gravitational deforming body and gove…
Recovery of discontinuous Lamé parameters from local dynamic boundary data
Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1
Consider an isotropic elastic medium whose Lamé parameters are piecewise smooth. In the elastic wave initial value inverse problem, we are given the solutio…
Nonlinear interaction of waves in elastodynamics and an inverse problem
Maarten de Hoop, Gunther Uhlmann, Yiran Wang
We consider nonlinear elastic wave equations generalizing Gol'dberg's five constants model. We analyze the nonlinear interaction of two distorted plane waves and characterize the p…
Unique recovery of piecewise analytic density and stiffness tensor from the elastic-wave Dirichlet-to-Neumann map
Maarten V. de Hoop, Gen Nakamura, Jian Zhai
We study the recovery of piecewise analytic density and stiffness tensor of a three-dimensional domain from the local dynamical Dirichlet-to-Neumann map. We give global uniqueness…
Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction
Maarten de Hoop, Paul Kepley, Lauri Oksanen
In this paper, we study the inverse boundary value problem for the wave equation with a view towards an explicit reconstruction procedure. We consider both the anisotropic problem…