Wavelet-based functional reconstruction and extrapolation of fractional random fields

DOI10.1007/BF02595780zbMath1069.62076OpenAlexW2015452803MaRDI QIDQ2387485

R. Fernández-Pascual, José M. Angulo, María D. Ruiz-Medina

Publication date: 5 September 2005

Published in: Test (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02595780

zbMATH Keywords

waveletsinverse problemfinite-dimensional approximationsleast-squares linear estimationfractional-order pseudo-differential model

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (2)

Wavelet-vaguelette decomposition of spatiotemporal random fields ⋮ Spatiotemporal filtering from fractal spatial functional data sequence

Cites Work

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• A stability analysis of the geostatistical approach to aquifer transmissivity identification
• Bases d'ondelettes dans des ouverts de \({\mathbb{R}}^ n\). (Wavelet bases in open sets of \({\mathbb{R}}^ n)\)
• Possible long-range dependence in fractional random fields.
• Wavelets on the interval and fast wavelet transforms
• Elliptic Gaussian random processes
• Spatio-temporal filtering using wavelets
• Anomalous diffusion on fractal objects: additional analytic solutions
• Fractional-order regularization and wavelet approximation to the inverse estimation problem for random fields
• Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
• A multiscale approach to sensor fusion and the solution of linear inverse problems
• Realizable Wiener filtering in two dimensions
• Computation of the Hessian for least-squares solutions of inverse problems of reflection seismology
• Ten Lectures on Wavelets
• Medical imaging: state of the art and future development
• Multiscale decompositions on bounded domains
• Fractional Generalized Random Fields on Bounded Domains
• A dimension-reduced approach to space-time Kalman filtering
• Multi-resolution approximation to the stochastic inverse problem
• Stochastic fractional-order differential models with fractal boundary conditions

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