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EbookBell Team
4.8
54 reviewsISBN 10: 0387708979
ISBN 13: 9780387708973
Author: Marco A R Ferreira, Herbert K H Lee
A wide variety of processes occur on multiple scales, either naturally or as a consequence of measurement. This book contains methodology for the analysis of data that arise from such multiscale processes. The book brings together a number of recent developments and makes them accessible to a wider audience. Taking a Bayesian approach allows for full accounting of uncertainty, and also addresses the delicate issue of uncertainty at multiple scales. The Bayesian approach also facilitates the use of knowledge from prior experience or data, and these methods can handle different amounts of prior knowledge at different scales, as often occurs in practice.
Models for Spatial Data
Illustrative Example
Convolutions and Wavelets
Convolution Methods
Wavelet Methods
Explicit Multiscale Models
Overview of Explicit Multiscale Models
Gaussian Multiscale Models on Trees
Hidden Markov Models on Trees
Mass-Balanced Multiscale Models on Trees
Multiscale Random Fields
Multiscale Time Series
Change of Support Models
Implicit Multiscale Models
Implicit Computationally Linked Model Overview
Metropolis-Coupled Methods
Genetic Algorithms
Case Studies
Soil Permeability Estimation
Single Photon Emission Computed Tomography Example
Conclusions
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Tags: Marco A R Ferreira, Herbert K H Lee, Multiscale, modeling