The geometry of off-the-grid compressed sensing
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Publication:2684465
DOI10.1007/s10208-021-09545-5OpenAlexW3213644387MaRDI QIDQ2684465
Nicolas Keriven, Clarice Poon, Gabriel Peyré
Publication date: 16 February 2023
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.08464
Ridge regression; shrinkage estimators (Lasso) (62J07) Numerical mathematical programming methods (65K05) Convex programming (90C25) Optimal transportation (49Q22)
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Cites Work
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- A mathematical introduction to compressive sensing
- Classical and quantum Fisher information in the geometrical formulation of quantum mechanics
- Exact reconstruction using Beurling minimal extrapolation
- Super-resolution from noisy data
- Fisher information distance: a geometrical reading
- Prony's method in several variables
- Support recovery for sparse super-resolution of positive measures
- Exact support recovery for sparse spikes deconvolution
- A multivariate generalization of Prony's method
- MUSIC for single-snapshot spectral estimation: stability and super-resolution
- Free boundaries in optimal transport and Monge-Ampère obstacle problems
- Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures
- Unbalanced optimal transport: dynamic and Kantorovich formulations
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- On some extensions of Bernstein's inequality for self-adjoint operators
- Spike detection from inaccurate samplings
- Atomic Decomposition by Basis Pursuit
- Synopses for Massive Data: Samples, Histograms, Wavelets, Sketches
- Exact Solutions to Super Resolution on Semi-Algebraic Domains in Higher Dimensions
- A Continuous Exact $\ell_0$ Penalty (CEL0) for Least Squares Regularized Problem
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Greed is Good: Algorithmic Results for Sparse Approximation
- An Extended Cencov Characterization of the Information Metric
- MultiDimensional Sparse Super-Resolution
- Convergence rates of convex variational regularization
- An elementary proof of a theorem of Johnson and Lindenstrauss
- Inverse problems in spaces of measures
- The sliding Frank–Wolfe algorithm and its application to super-resolution microscopy
- Superresolution without separation
- Sparse regularization on thin grids I: the Lasso
- A Probabilistic and RIPless Theory of Compressed Sensing
- Recovering Low-Rank Matrices From Few Coefficients in Any Basis
- Compressed Sensing Off the Grid
- Breaking the Curse of Dimensionality with Convex Neural Networks
- Towards a Mathematical Theory of Super‐resolution
- The Alternating Descent Conditional Gradient Method for Sparse Inverse Problems
- Compressed sensing
