The Imaging and Computing Group (ICG) studies inverse problems related to wave scattering and high-frequency data.
The group‘s research directions are in the areas of machine learning, scientific computing, applied harmonic analysis, and recovery theory. The problems we consider are often motivated by real-life questions in seismic imaging.
We are always on the lookout for talented people to join the group!
Research Highlights
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When is superresolution of sparse signals possible? We quantify regimes of stable super-resolved recovery of sparse signals from bandlimited measurements. In the case of adversarial deterministic ...read more
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A scalable solver for the Helmholtz equation. We present a numerical method for the 2D high-frequency Helmholtz equation with online parallel complexity that scales sublinearly as O(N/L), where N is ...read more
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Convex recovery from interferometric measurements. We show a deterministic stability result for the recovery of vectors from interferometric measurements, which have important applications in ...read more
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Matrix probing: randomized fitting for the wave-equation Hessian. What can be determined about the pseudoinverse pinv(A) of a matrix A from one application of A to a vector of random entries? A ...read more
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A butterfly algorithm for synthetic aperture radar imaging. We propose what is perhaps the first O(N log N) controlled-accuracy algorithm for SAR imaging. We use the butterfly scheme, an alternative to ...read more
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Wave computation with Fourier integral operators. We propose a new time upscaling method to avoid the CFL condition for acoustic wave propagation in a smooth heterogeneous medium, by numerically ...read more