3 papers
math.OC2019
The dual approach to non-negative super-resolution: impact on primal reconstruction accuracy
Stephane Chretien, Andrew Thompson, Bogdan Toader
We study the problem of super-resolution, where we recover the locations and weights of non-negative point sources from a few samples of their convolution with a Gaussian kernel. I…
math.OC2018
Sparse Inverse Problems Over Measures: Equivalence of the Conditional Gradient and Exchange Methods
Armin Eftekhari, Andrew Thompson
We study an optimization program over nonnegative Borel measures that encourages sparsity in its solution. Efficient solvers for this program are in increasing demand, as it arises…
math.OC2018
Sparse non-negative super-resolution -- simplified and stabilised
Armin Eftekhari, Jared Tanner, Andrew Thompson +2
The convolution of a discrete measure, , with a local window function, , is a common model for a measurement device whose resolution is substantia…