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

**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

**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

**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

**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

**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

**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