The best approximate solution of Fredholm integral equations of the first kind via Gaussian process regression

DOI10.1016/J.AML.2022.108272zbMath1501.65158OpenAlexW4283373870WikidataQ114210462 ScholiaQ114210462MaRDI QIDQ2161466

Renjun Qiu, Qizi Huangpeng, Liang Yan, Xiao-Jun Duan

Publication date: 4 August 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108272

zbMATH Keywords

Hilbert spacereproducing kernelill-posed problemMoore-Penrose inverseGaussian process regressionFredholm integral equations of the first kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Cites Work

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• Mercer's theorem on general domains: on the interaction between measures, kernels, and RKHSs
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• Solving linear integro-differential equation with Legendre wavelets
• Finite-Dimensional Approximation Settings for Infinite-dimensional Moore–Penrose Inverses
• Convergence Rates for Regularized Solutions
• Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
• Generalized Inverses in Reproducing Kernel Spaces: An Approach to Regularization of Linear Operator Equations

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