20 citations · 52 across the 15 of their papers we have counts for
17 papers
Uncertainty Quantification for Landweber Iteration with Randomized Normal-Operator Approximation
Anuj Abhishek, Sean Holman
Iterative methods are extremely popular for solving linear ill-posed inverse problems. While deterministic convergence, or more precisely, semi-convergence of such methods is widel…
Characterization of the spectra of rotating truncated gas planets and inertia-gravity modes
Maarten V. de Hoop, Sean Holman, Alexei Iantchenko
We study the essential spectrum, which corresponds to inertia-gravity modes, of the system of equations governing a rotating and self-gravitating gas planet. With certain boundary…
Boundary Recovery of Anisotropic Electromagnetic Parameters for the Time Harmonic Maxwell's Equations
Sean Holman, Vasiliki Torega
This work concerns inverse boundary value problems for the time-harmonic Maxwell's equations on differential forms. We formulate the boundary value problem on a dimensional…
Ellipsoidal and hyperbolic Radon transforms; microlocal properties and injectivity
James W. Webber, Sean Holman, Eric Todd Quinto
We present novel microlocal and injectivity analyses of ellipsoid and hyperboloid Radon transforms. We introduce a new Radon transform, , which defines the integrals of a compac…
Simultaneous recovery of attenuation and source density in SPECT
Sean Holman, Philip Richardson
We show that under a certain non-cancellation condition the attenuated Radon transform uniquely determines piecewise constant attenuation and piecewise source density …
Data-consistent neural networks for solving nonlinear inverse problems
Yoeri E. Boink, Markus Haltmeier, Sean Holman +1
Data assisted reconstruction algorithms, incorporating trained neural networks, are a novel paradigm for solving inverse problems. One approach is to first apply a classical recons…