Kernel density estimation via diffusion and the complex exponentials approximation problem

DOI10.1090/S0033-569X-2014-01333-4zbMath1418.62131arXiv1206.0963MaRDI QIDQ5420092

Piero Barone

Publication date: 11 June 2014

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0963

zbMATH Keywords

random matricesparabolic PDEcondensed density

Mathematics Subject Classification ID

Density estimation (62G07) Approximation by other special function classes (41A30)

Related Items (1)

Bivariate one-sample optimal location test for spherical stable densities by Padé' methods

Uses Software

• Differentiation Matrix Suite

Cites Work

• On the condensed density of the generalized eigenvalues of pencils of Gaussian random matrices and applications
• Kernel density estimation via diffusion
• A new transform for solving the noisy complex exponentials approximation problem
• On the distribution of poles of Padé approximants to the \(Z\)-transform of complex Gaussian white noise
• Expectation of quadratic forms in normal and nonnormal variables with applications
• Some properties of the asymptotic location of poles of Pade approximants to noisy rational functions, relevant for modal analysis
• A new estimation method in modal analysis
• A Diffusion Equation for the Density of the Ratio of Two Jointly Distributed Gaussian Variables and the Exponential Analysis Problem
• Superresolution via Sparsity Constraints
• A Modified Prony Algorithm for Exponential Function Fitting
• Application of the Padé Method to Solving the Noisy Trigonometric Moment Problem: Some Initial Results
• Reconstruction of a Piecewise Constant Function from Noisy Fourier Coefficients by Padé Method
• A Stable Numerical Method for Inverting Shape from Moments
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