Nuclear magnetic resonance (NMR) spectroscopy is an important analytical tool in
chemistry, biology, and life science, but it suffers from relatively low sensitivity and long …

This paper studies sparse spikes deconvolution over the space of measures. We focus on
the recovery properties of the support of the measure (ie, the location of the Dirac masses) …

The mathematical theory of super-resolution developed recently by Candès and Fernandes-
Granda states that a continuous, sparse frequency spectrum can be recovered with infinite …

This paper showcases the theoretical and numerical performance of the Sliding Frank–
Wolfe, which is a novel optimization algorithm to solve the BLASSO sparse spikes super …

Gridless direction of arrival (DOA) estimation is addressed for a 1-D non-uniform array
(NUA) of arbitrary geometry. Currently, gridless DOA estimation is solved via convex …

In this paper we offer a review and bibliography of work on Hankel low-rank approximation
and completion, with particular emphasis on how this methodology can be used for time …

We introduce a method to recover a continuous domain representation of a piecewise
constant two-dimensional image from few low-pass Fourier samples. Assuming the edge set …

Many signals are modeled as a superposition of exponential functions in spectroscopy of
chemistry, biology, and medical imaging. This paper studies the problem of recovering …

It is a classic problem to estimate continuous-time sparse signals, like point sources in a
direction-of-arrival problem, or pulses in a time-of-flight measurement. The earliest …

Fourier-domain structured low-rank matrix priors are emerging as powerful alternatives to
traditional image recovery methods such as total variation and wavelet regularization. These …