Sparse non-negative super-resolution -- simplified and stabilised
From MaRDI portal
Publication:2659719
DOI10.1016/j.acha.2019.08.004zbMath1460.94019arXiv1804.01490OpenAlexW2968692119MaRDI QIDQ2659719
Hemant Tyagi, Jared Tanner, Armin Eftekhari, Bogdan Toader, Andrew Thompson
Publication date: 26 March 2021
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.01490
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Probabilistic measure theory (60A10) Sampling theory in information and communication theory (94A20)
Related Items
On the uniqueness of solutions for the basis pursuit in the continuum, Approximate super-resolution of positive measures in all dimensions, Manifold separation-based DOA estimation for nonlinear arrays via compressed super-resolution of positive sources, Super-resolution of positive sources on an arbitrarily fine grid, Sparse Inverse Problems over Measures: Equivalence of the Conditional Gradient and Exchange Methods, Provably optimal sparse solutions to overdetermined linear systems with non-negativity constraints in a least-squares sense by implicit enumeration, A Convex Approach to Superresolution and Regularization of Lines in Images
Cites Work
- Robust recovery of stream of pulses using convex optimization
- Exact reconstruction using Beurling minimal extrapolation
- Super-resolution from noisy data
- Support recovery for sparse super-resolution of positive measures
- Exact support recovery for sparse spikes deconvolution
- A lower bound for the smallest singular value of a matrix
- M-matrix characterizations. I: nonsingular M-matrices
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Generalized Wasserstein distance and its application to transport equations with source
- Spike detection from inaccurate samplings
- Super-Resolution of Positive Sources: The Discrete Setup
- Near Minimax Line Spectral Estimation
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Decoding by Linear Programming
- Superresolution via Sparsity Constraints
- Innovation Rate Sampling of Pulse Streams With Application to Ultrasound Imaging
- Recovery of Sparse Translation-Invariant Signals With Continuous Basis Pursuit
- Robust Recovery of Positive Stream of Pulses
- Superresolution Rates in Prokhorov Metric
- Superresolution without separation
- Compressed Sensing Off the Grid
- Deconvolution of Point Sources: A Sampling Theorem and Robustness Guarantees
- Towards a Mathematical Theory of Super‐resolution
- Compressed sensing
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item