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1 | (14) |
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1.1 Motivation: Natural disasters |
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1 | (2) |
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1.2 Modeling Natural Phenomena: Hydroinformatics |
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3 | (2) |
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1.3 Predicting Storm Surges |
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5 | (4) |
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1.3.1 Physically-based modeling |
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6 | (1) |
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1.3.2 Data driven modeling: Nonlinear dynamics and chaos theory |
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7 | (1) |
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1.3.3 Main relations between the two modeling paradigms: chaotic modeling |
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8 | (1) |
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1.4 Chaotic Behaviors in Ocean Surge and Other Aquatic Phenomena |
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9 | (1) |
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10 | (2) |
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12 | (3) |
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15 | (10) |
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2.1 Study Area: The North Sea |
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15 | (2) |
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2.2 North Sea Characteristics |
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17 | (2) |
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17 | (1) |
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2.2.2 Tides and sea level |
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18 | (1) |
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2.3 Storm Surge Condition in the North Sea |
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19 | (3) |
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2.3.1 Storm Surge Warning Service |
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21 | (1) |
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2.3.2 Procedure for issuing warnings and alarms |
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21 | (1) |
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22 | (1) |
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23 | (2) |
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Chapter 3 Storm Surge Modeling |
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25 | (22) |
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25 | (1) |
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3.2 Physical Oceanography |
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25 | (6) |
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3.2.1 Ocean waves and its classification |
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25 | (2) |
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27 | (1) |
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3.2.1.2 Method of waves generation |
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28 | (1) |
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28 | (1) |
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3.2.1.4 Relationship to the Generating Force |
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28 | (1) |
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29 | (2) |
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31 | (2) |
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3.3.1 Tide-Surge Interaction |
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33 | (1) |
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3.4 SWAN Wave Spectrum Model |
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33 | (2) |
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3.5 Physcially-based Storm Surge Prediction Model |
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35 | (1) |
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3.6 European Meteorological Offices and Storm Surge Models |
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36 | (7) |
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3.6.1 North West Shelf Operational Oceanographic System (NOOS) |
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36 | (1) |
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37 | (5) |
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3.6.3 European Centre for Medium-Range Weather Predictions (ECMWF) |
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42 | (1) |
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3.7 Linking Predictive Chaotic Model with European Operational Storm Surge Models |
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43 | (2) |
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45 | (2) |
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Chapter 4 Computational Intelligence |
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47 | (20) |
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47 | (3) |
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4.2 Artificial Neural Networks |
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50 | (8) |
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4.2.1 Mathematical model of artificial neuron |
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52 | (1) |
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53 | (2) |
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4.2.3 Multi-layer perceptron and back-propagation algorithm |
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55 | (2) |
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4.2.4 Dynamic neural network |
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57 | (1) |
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4.3 Instance-Based Learning |
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58 | (3) |
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4.3.1 k-nearest neighbors learning |
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59 | (1) |
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4.3.2 Distance weighted nearest neighbors algorithm |
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60 | (1) |
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4.3.3 Locally weighted regression |
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60 | (1) |
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4.4 Hierarchical Modular Models |
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61 | (3) |
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4.5 Evolutionary and Other Randomized Search Algorithms |
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64 | (1) |
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65 | (2) |
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Chapter 5 Nonlinear Dynamics and Chaos Theory |
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67 | (24) |
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67 | (1) |
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68 | (4) |
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68 | (1) |
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69 | (1) |
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5.2.3 Various behaviors of dynamical system |
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69 | (1) |
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5.2.4 Dynamical invariants |
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70 | (1) |
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5.2.5 Chaos in Iterative Maps |
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70 | (2) |
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5.3 Geometrical analysis of maps |
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72 | (1) |
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72 | (1) |
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72 | (1) |
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5.3.3 Fixed points and stability analysis |
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73 | (1) |
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73 | (1) |
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5.5 Nonlinear Dynamics in Differential Equations |
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74 | (3) |
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5.5.1 Sensitivity to initial conditions |
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75 | (1) |
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5.5.2 Properties of chaos |
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76 | (1) |
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5.6 Phase Space Reconstruction -- Method of Time Delay |
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77 | (1) |
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5.7 Finding appropriate time delay |
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78 | (1) |
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5.8 Estimating embedding dimension |
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79 | (4) |
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5.8.1 Self-similarity: Dimension |
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79 | (2) |
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5.8.2 False nearest neighbors |
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81 | (1) |
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81 | (1) |
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5.8.4 Kolmogorov-Sinai Entropy |
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82 | (1) |
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5.9 Analysis of Stability: Lyapunov Exponents |
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83 | (2) |
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5.10 Building Chaotic Model |
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85 | (3) |
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88 | (2) |
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90 | (1) |
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Chapter 6 Building Predictive Chaotic Model |
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91 | (26) |
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91 | (2) |
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6.2 Power Spectral Density: Periodicity and Stochasticity |
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93 | (1) |
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6.3 Phase Space Reconstruction: Finding Time Delay |
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93 | (2) |
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6.4 Correlation Dimension |
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95 | (1) |
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6.5 False Nearest Neighbors |
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96 | (1) |
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6.6 Cao's Embedding Dimension |
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97 | (1) |
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6.7 Space-Time Separation |
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98 | (1) |
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99 | (1) |
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99 | (1) |
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100 | (3) |
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6.11 Predictive Chaotic Model: Global and Local Modeling |
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103 | (1) |
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104 | (5) |
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6.12.1 Univariate predictive chaotic model |
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104 | (3) |
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6.12.2 Multivariate predictive chaotic model |
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107 | (2) |
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6.12.3 Global model: Neural networks |
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109 | (1) |
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6.13 Model Results and Discussion |
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109 | (3) |
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6.14 K-fold Cross Validation |
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112 | (3) |
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115 | (2) |
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Chapter 7 Enhancements: Resolving Issues of High Dimensionality, Phase Errors, Incompleteness and False Neighbors |
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117 | (24) |
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7.1 Phase Space Dimensionality Reduction |
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117 | (5) |
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117 | (1) |
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7.1.2 Problems of dimensionality |
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118 | (1) |
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7.1.3 Principal component analysis |
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119 | (1) |
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7.1.4 Reducing the phase space dimension |
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119 | (1) |
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7.1.5 Model results and discussion |
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120 | (2) |
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7.2 Phase Error Correction |
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122 | (6) |
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122 | (1) |
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123 | (1) |
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7.2.3 Setting up the 1st standard predictive chaotic model |
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124 | (1) |
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7.2.3.1 Finding the proper time delay |
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125 | (1) |
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7.2.3.2 Estimating the appropriate embedding dimension |
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125 | (1) |
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7.2.3.3 Using the proper number of neighbors |
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125 | (1) |
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7.2.4 Setting up the 2nd model (predictive chaotic model and ANN model |
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126 | (1) |
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7.2.4.1 Predictive chaotic model |
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126 | (1) |
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126 | (1) |
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7.2.5 Model results and discussion |
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127 | (1) |
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7.3 Building Predictive Chaotic Model from Incomplete Time Series |
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128 | (5) |
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128 | (2) |
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7.3.2 Weighted sum of linear interpolations |
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130 | (1) |
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130 | (1) |
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7.3.4 Cubic spline interpolation |
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130 | (1) |
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7.3.5 Model results and discussion |
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131 | (2) |
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7.4 Finding True Neighbors |
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133 | (5) |
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7.4.1 Euclidean distance method |
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133 | (1) |
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7.4.2 The new trajectory based method |
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134 | (2) |
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7.4.3 Model results and discussion |
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136 | (2) |
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138 | (3) |
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Chapter 8 Computational Intelligence in Identifying Optimal Predictive Chaotic Model |
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141 | (14) |
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141 | (2) |
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8.2 Randomized Search Algorithms |
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143 | (3) |
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143 | (1) |
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8.2.2 Genetic algorithm (GA) |
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143 | (2) |
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8.2.3 Adaptive cluster covering algorithm (ACCO) |
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145 | (1) |
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146 | (1) |
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147 | (3) |
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8.4.1 Main experiment: predictive model for Hoek van Holland |
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147 | (1) |
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147 | (1) |
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8.4.1.2 Randomized search |
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148 | (1) |
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8.4.2 Additional experiment: predictive model for the San Juan station |
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148 | (1) |
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149 | (1) |
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8.4.2.2 Randomized search |
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150 | (1) |
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8.5 Model Results and Discussion |
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150 | (3) |
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153 | (2) |
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Chapter 9 Real-Time Data Assimilation Using Narx Neural Network |
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155 | (14) |
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155 | (3) |
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158 | (1) |
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9.2.1 Network Architecture |
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158 | (1) |
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158 | (1) |
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9.3 NARX Data Assimilation |
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159 | (2) |
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161 | (1) |
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9.5 Model Results and Discussion |
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161 | (5) |
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9.5.1 Estimating delay time and embedding dimension |
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161 | (3) |
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9.5.2 European operational storm surge models |
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164 | (1) |
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9.5.3 Chaotic storm surge models |
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164 | (1) |
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9.5.4 Data assimilation using NARX neural network |
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165 | (1) |
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166 | (3) |
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Chapter 10 Ensemble Model Prediction |
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169 | (14) |
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169 | (1) |
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10.2 Principles of Ensemble Model Prediction |
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169 | (6) |
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10.2.1 Information-theoretic model selection |
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170 | (1) |
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10.2.2 Bayesian model averaging |
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171 | (3) |
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10.2.3 Ensembles with spatial information |
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174 | (1) |
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10.2.4 Machine learning: modular model |
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174 | (1) |
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10.3 Linear Prediction Combination |
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175 | (1) |
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10.4 Nonlinear Prediction Combination |
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176 | (2) |
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176 | (1) |
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10.4.2 Dynamic neural networks |
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177 | (1) |
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10.5 Model Results and Discussion |
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178 | (3) |
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178 | (1) |
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178 | (2) |
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180 | (1) |
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10.5.4 Dynamic neural networks |
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180 | (1) |
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181 | (2) |
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Chapter 11 Conclusions and Recommendations |
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183 | (8) |
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183 | (4) |
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11.2 Limitations and Recommendations |
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187 | (4) |
References |
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191 | (10) |
About the Author |
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201 | (2) |
Scientific Publications |
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203 | (4) |
Samenvatting |
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207 | |