The curse of dimensionality in inverse problems

DOI10.1016/j.cam.2019.112571OpenAlexW2985063291WikidataQ126798636 ScholiaQ126798636MaRDI QIDQ2293614

Zulima Fernández-Muñiz, Juan Luis Fernández-Martínez

Publication date: 5 February 2020

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

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112571

zbMATH Keywords

inverse problemsmodel reductionuncertainty analysiscurse of dimensionality

Mathematics Subject Classification ID

Density estimation (62G07) Applications of statistics in engineering and industry; control charts (62P30) Inverse problems in geophysics (86A22) Numerical methods for integral transforms (65R10) Numerical solutions to equations with linear operators (65J10)

Related Items (1)

Intercorrelated random fields with bounds and the Bayesian identification of their parameters: Application to linear elastic struts and fibers

Cites Work

• Feasibility analysis of the use of binary genetic algorithms as importance samplers application to a 1-D DC resistivity inverse problem
• Oracle inequalities and nonparametric function estimation
• The role of nonlinearity in inverse problems
• Linearized and nonlinear parameter variance estimation for two-dimensional electromagnetic induction inversion
• LII. An essay towards solving a problem in the doctrine of chances. By the late Rev. Mr. Bayes, F. R. S. communicated by Mr. Price, in a letter to John Canton, A. M. F. R. S
• Discrete Inverse Problems
• An adaptive Metropolis algorithm
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