28 citations · 154 across the 37 of their papers we have counts for
4 papers · 2 filters
Convolutional neural networks in phase space and inverse problems
Gunther Uhlmann, Yiran Wang
We study inverse problems consisting on determining medium properties using the responses to probing waves from the machine learning point of view. Based on the understanding of pr…
Singularities generated by the triple interaction of semilinear conormal waves
Antônio Sá Barreto, Yiran Wang
We study the local propagation of conormal singularities for solutions of semilinear wave equations , where is a polynomial of degree in $…
Determination of space-time structures from gravitational perturbations
Gunther Uhlmann, Yiran Wang
We study inverse problems for the Einstein equations with source fields in a general form. Under a microlocal linearization stability condition, we show that by generating small gr…
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…