# Support detection in super-resolution

arXiv: https://arxiv.org/abs/1302.3921 · HTML: https://mlsanity.com/paper/1302.3921/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 16 Feb 2013.

## Built on by (most cited first, 2 of 2)

- [FastPart: Over-Parameterized Stochastic Gradient Descent for Sparse optimisation on Measures](https://mlsanity.com/paper/2312.05993/) (2023)
- [On Inverse Problems, Parameter Estimation, and Domain Generalization](https://mlsanity.com/paper/2506.06024/) (2025)

## Abstract (arXiv)

We study the problem of super-resolving a superposition of point sources from noisy low-pass data with a cut-off frequency f. Solving a tractable convex program is shown to locate the elements of the support with high precision as long as they are separated by 2/f and the noise level is small with respect to the amplitude of the signal.
