Accuracy of noisy Spike-Train Reconstruction: a Singularity Theory point of view
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Publication:4558428
DOI10.5427/jsing.2018.18uzbMath1404.58056arXiv1801.02177OpenAlexW2962980983WikidataQ128949667 ScholiaQ128949667MaRDI QIDQ4558428
Gil Goldman, Yehonatan Salman, Yosef Yomdin
Publication date: 22 November 2018
Published in: Journal of Singularities (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.02177
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Geometry of error amplification in solving the Prony system with near-colliding nodes ⋮ On algebraic properties of low rank approximations of Prony systems
Cites Work
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- A comparison of different notions of ranks of symmetric tensors
- Fast ESPRIT algorithms based on partial singular value decompositions
- Super-resolution from noisy data
- Singularities of the Minkowski set and affine equidistants for a curve and a surface
- Stability and super-resolution of generalized spike recovery
- Hyperbolic polynomials and Vandermonde mappings
- Singularities of convex hulls of smooth manifolds
- Root configurations for hyperbolic polynomials of degree 3, 4, and 5
- Distances between critical points and midpoints of zeros of hyperbolic polynomials
- Accurate solution of near-colliding Prony systems via decimation and homotopy continuation
- Medial axis and singularities
- Super-Resolution of Positive Sources: The Discrete Setup
- On Vandermonde Varieties
- Geometry and Singularities of the Prony mapping
- Multiple Point Schemes for Corank 1 Maps
- On Functions Representable as a Supremum of a Family of Smooth Functions
- Algebraic Fourier reconstruction of piecewise smooth functions
- The topological classification of germs of the maximum and minimax functions of a family of functions in general position
- On Functions Representable As a Supremum of a Family of Smooth Functions II
- Superresolution via Sparsity Constraints
- On the geometric properties of Vandermonde's mapping and on the problem of moments
- Super-resolution of point sources via convex programming
- Accuracy of reconstruction of spike-trains with two near-colliding nodes
- Semi-Simplicial Resolutions and Homology of Images and Discriminants of Mappings
- A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators
- On the Accuracy of Solving Confluent Prony Systems
- Nuij Type Pencils of Hyperbolic Polynomials
- Prony methods for recovery of structured functions
- Sampling Theory
- Complete algebraic reconstruction of piecewise-smooth functions from Fourier data
- Symmetric Tensors and Symmetric Tensor Rank
- Towards a Mathematical Theory of Super‐resolution
