Support recovery for sparse super-resolution of positive measures
From MaRDI portal
Publication:682872
DOI10.1007/s00041-016-9502-xzbMath1417.65223arXiv1506.08264OpenAlexW2524857034MaRDI QIDQ682872
Gabriel Peyré, Quentin Denoyelle, Vincent Duval
Publication date: 5 February 2018
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.08264
Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for integral equations (65R32)
Related Items (27)
Sparse non-negative super-resolution -- simplified and stabilised ⋮ Stable super-resolution limit and smallest singular value of restricted Fourier matrices ⋮ When does OMP achieve exact recovery with continuous dictionaries? ⋮ Approximate super-resolution of positive measures in all dimensions ⋮ Convex optimization in sums of Banach spaces ⋮ A note on spike localization for line spectrum estimation ⋮ Variational regularization in inverse problems and machine learning ⋮ Linear inverse problems with nonnegativity constraints: singularity of optimisers ⋮ Splines Are Universal Solutions of Linear Inverse Problems with Generalized TV Regularization ⋮ Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space ⋮ Dynamic Spike Superresolution and Applications to Ultrafast Ultrasound Imaging ⋮ The geometry of off-the-grid compressed sensing ⋮ The MLE is a reliable source: sharp performance guarantees for localization problems ⋮ Dynamic super-resolution in particle tracking problems ⋮ Tomographic inverse problems: mathematical challenges and novel applications. Abstracts from the workshop held April 30 -- May 5, 2023 ⋮ Sparse spikes super-resolution on thin grids II: the continuous basis pursuit ⋮ TV-based reconstruction of periodic functions ⋮ A unifying representer theorem for inverse problems and machine learning ⋮ A mathematical theory of computational resolution limit in multi-dimensional spaces * ⋮ MultiDimensional Sparse Super-Resolution ⋮ The sliding Frank–Wolfe algorithm and its application to super-resolution microscopy ⋮ Approximate support recovery of atomic line spectral estimation: a tale of resolution and precision ⋮ Super-resolution of positive sources on an arbitrarily fine grid ⋮ Modern regularization methods for inverse problems ⋮ Sparse Inverse Problems over Measures: Equivalence of the Conditional Gradient and Exchange Methods ⋮ Sparsest piecewise-linear regression of one-dimensional data ⋮ Multikernel Regression with Sparsity Constraint
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact reconstruction using Beurling minimal extrapolation
- Super-resolution from noisy data
- Exact support recovery for sparse spikes deconvolution
- MUSIC for single-snapshot spectral estimation: stability and super-resolution
- Spike detection from inaccurate samplings
- Super-Resolution of Positive Sources: The Discrete Setup
- Linear Inversion of Band-Limited Reflection Seismograms
- Superresolution via Sparsity Constraints
- Atomic Decomposition by Basis Pursuit
- Inverse problems in spaces of measures
- Towards a Mathematical Theory of Super‐resolution
This page was built for publication: Support recovery for sparse super-resolution of positive measures
