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|a Zhang, Zhihua.
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|a Multivariate time series analysis in climate and environmental research /
|c Zhihua Zhang.
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| 260 |
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|a Cham :
|b Springer,
|c ©2018.
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|a 1 online resource (293 pages)
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|a Preface -- Contents -- 1 Artificial Neural Network -- 1.1 Network Architectures -- 1.1.1 Multilayer Feedforward Networks -- 1.1.2 Recurrent Networks -- 1.2 Perceptrons -- 1.2.1 Rosenblatt's Perceptron -- 1.2.2 Multilayer Perceptron -- 1.3 Linear Network and Bayes Classifier -- 1.4 Radial Basis Function Network -- 1.4.1 Radial Basis Function -- 1.4.2 Interpolation -- 1.4.3 Receptive Field -- 1.5 Generalized Regression Network -- 1.6 Self-organizing Network -- 1.6.1 Kohonen Self-organizing Map Network -- 1.6.2 Learning Vector Quantization Network
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| 505 |
8 |
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|a 1.7 Hopfield Network1.7.1 Continuous Hopfield Network -- 1.7.2 Discrete Hopfield Network -- Further Reading -- 2 Multivariate Harmonic Analysis -- 2.1 Fourier Transform -- 2.2 Discrete Fourier Transform -- 2.3 Discrete Cosine/Sine Transform -- 2.3.1 Four Forms of DCTs -- 2.3.2 Four Forms of DSTs -- 2.4 Filtering -- 2.5 Fractional Fourier Transform -- 2.5.1 Continuous FRFT -- 2.5.2 Discrete FRFT -- 2.5.3 Multivariate FRFT -- 2.6 Space -- Frequency Distribution -- 2.6.1 Multivariate Windowed Fourier Transform -- 2.6.2 General Form
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| 505 |
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|a 2.6.3 Popular Distributions2.7 Multivariate Interpolation -- 2.7.1 Multivariate Polynomial Interpolation -- 2.7.2 Schoenberg Interpolation -- 2.7.3 Micchelli Interpolation -- 2.7.4 Interpolation on Spheres -- 2.8 Sparse Approximation -- 2.8.1 Approximation Kernels -- 2.8.2 Sparse Schemes -- 2.8.3 Greedy Algorithm -- 2.9 Spherical Harmonics -- 2.9.1 Spherical Harmonic Functions -- 2.9.2 Invariant Subspace under Fourier Transform -- 2.10 Harmonic Analysis on General Domains -- 2.10.1 Symmetric Kernels -- 2.10.2 Smooth Extensions and Approximation
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|a 2.11 Harmonic Analysis on Graphs2.11.1 The Laplacian of a Graph -- 2.11.2 Eigenvalues and Eigenfunctions -- 2.11.3 Fourier Expansions -- Further Reading -- 3 Multivariate Wavelets -- 3.1 Multiresolution Analysis -- 3.1.1 Structure of MRA -- 3.1.2 Scaling Functions -- 3.2 Multivariate Orthogonal Wavelets -- 3.2.1 Separable Wavelets -- 3.2.2 Non-separable Wavelets -- 3.2.3 p-Band Wavelets -- 3.3 Biorthogonal Wavelets -- 3.3.1 Univariate Biorthogonal Wavelets -- 3.3.2 Multivariate Biorthogonal Wavelets -- 3.3.3 p-Band Biorthogonal Wavelets
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|a 3.3.4 Semi-orthogonal Wavelets3.4 Wavelets on Domains -- 3.4.1 Continuous Extension -- 3.4.2 Wavelet Expansion -- 3.5 Discrete Wavelet Transforms -- 3.5.1 Discrete Orthogonal Wavelet Transforms -- 3.5.2 Discrete Biorthogonal Wavelet Transforms -- 3.5.3 Discrete Biorthogonal Periodic Wavelets Transforms -- 3.5.4 Discrete Harmonic Wavelet Transforms -- 3.6 Wavelet Packets -- 3.6.1 Continuous Wavelet Packets -- 3.6.2 Discrete Wavelet Packets -- 3.7 Wavelet Variance -- 3.7.1 Generalized Wavelet Decomposition -- 3.7.2 Maximal Overlap Discrete Wavelet Transform
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|a ""3.7.3 Wavelet Variance""
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|a This book offers comprehensive information on the theory, models and algorithms involved in state-of-the-art multivariate time series analysis and highlights several of the latest research advances in climate and environmental science. The main topics addressed include Multivariate Time-Frequency Analysis, Artificial Neural Networks, Stochastic Modeling and Optimization, Spectral Analysis, Global Climate Change, Regional Climate Change, Ecosystem and Carbon Cycle, Paleoclimate, and Strategies for Climate Change Mitigation. The self-contained guide will be of great value to researchers and advanced students from a wide range of disciplines: those from Meteorology, Climatology, Oceanography, the Earth Sciences and Environmental Science will be introduced to various advanced tools for analyzing multivariate data, greatly facilitating their research, while those from Applied Mathematics, Statistics, Physics, and the Computer Sciences will learn how to use these multivariate time series analysis tools to approach climate and environmental topics.
|
| 650 |
|
0 |
|a Climatology
|x Statistical methods.
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| 650 |
|
0 |
|a Multivariate analysis.
|0 http://id.loc.gov/authorities/subjects/sh85088390
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| 650 |
|
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|a Time-series analysis.
|0 http://id.loc.gov/authorities/subjects/sh85135430
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|a Multivariate analysis.
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|0 (OCoLC)fst01029105
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| 650 |
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|a Time-series analysis.
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|0 (OCoLC)fst01151190
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|a Electronic books.
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|t Springer eBooks
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| 776 |
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|i Print version:
|a Zhang, Zhihua.
|t Multivariate Time Series Analysis in Climate and Environmental Research.
|d Cham : Springer International Publishing, ©2017
|z 9783319673394
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