A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators
From MaRDI portal
Publication:4917593
DOI10.1088/0266-5611/29/2/025001zbMath1276.47093OpenAlexW2022821885MaRDI QIDQ4917593
Thomas Peter, Gerlind Plonka-Hoch
Publication date: 2 May 2013
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/29/2/025001
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for trigonometric approximation and interpolation (65T40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Applications of operator theory in numerical analysis (47N40)
Related Items (35)
System identification in dynamical sampling ⋮ Polynomial-exponential decomposition from moments ⋮ A sparsity-constrained sampling method with applications to communications and inverse scattering ⋮ Parameter estimation of monomial-exponential sums in one and two variables ⋮ An extended Prony's interpolation scheme on an equispaced grid ⋮ Reconstruction of sparse Legendre and Gegenbauer expansions ⋮ Accuracy of noisy Spike-Train Reconstruction: a Singularity Theory point of view ⋮ Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients ⋮ Learning algebraic decompositions using Prony structures ⋮ Predictive algorithms in dynamical sampling for burst-like forcing terms ⋮ Multiscale matrix pencils for separable reconstruction problems ⋮ Recovery of periodicities hidden in heavy‐tailed noise ⋮ Algebraic-exponential data recovery from moments ⋮ Identification of multiple cracks in 2D elasticity by means of the reciprocity principle and cluster analysis ⋮ Sparse polynomial interpolation in Chebyshev bases ⋮ Geometry of error amplification in solving the Prony system with near-colliding nodes ⋮ The generalized operator based Prony method ⋮ Reconstruction of stationary and non-stationary signals by the generalized Prony method ⋮ Fast ESPRIT algorithms based on partial singular value decompositions ⋮ Vector versions of Prony's algorithm and vector-valued rational approximations ⋮ Rapidly computing sparse Legendre expansions via sparse Fourier transforms ⋮ On the structure of positive semi-definite finite rank general domain Hankel and Toeplitz operators in several variables ⋮ Optimal approximation with exponential sums by a maximum likelihood modification of Prony's method ⋮ On algebraic properties of low rank approximations of Prony systems ⋮ Signal recovery by discrete approximation and a Prony-like method ⋮ Stability and super-resolution of generalized spike recovery ⋮ Accuracy of reconstruction of spike-trains with two near-colliding nodes ⋮ Krylov Subspace Methods in Dynamical Sampling ⋮ Modifications of Prony's method for the recovery and sparse approximation with generalized exponential sums ⋮ An efficient and accurate method for modeling nonlinear fractional viscoelastic biomaterials ⋮ Prony methods for recovery of structured functions ⋮ A randomized multivariate matrix pencil method for superresolution microscopy ⋮ Sampling, Metric Entropy, and Dimensionality Reduction ⋮ New representations of Padé, Padé-type, and partial Padé approximants ⋮ Estimate the spectrum of affine dynamical systems from partial observations of a single trajectory data
This page was built for publication: A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators
