On non-parametric density estimation on linear and non-linear manifolds using generalized Radon transforms

DOI10.1080/03610926.2021.1897143OpenAlexW3136284957MaRDI QIDQ5046821

James W. Webber, Erika Hussey, Shuchin Aeron, Eric L. Miller

Publication date: 9 November 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03780

zbMATH Keywords

inverse problemsRadon transformsdensity estimation

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Uses Software

• Regularization tools
• IR Tools

Cites Work

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• Kernel density estimation on Riemannian manifolds
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• Mathematical Methods in Image Reconstruction
• Exact reconstruction formula for the spherical mean Radon transform on ellipsoids
• Density Estimation by Total Variation Penalized Likelihood Driven by the Sparsity ℓ1 Information Criterion
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• A Radon Transform on Spheres Through the Origin in R n and Applications to the Darboux Equation
• Nonparametric Construction of Multivariate Kernels
• Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment
• Discrete Inverse Problems

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