| Preface |
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xi | |
| Acknowledgments |
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xiii | |
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1 | (48) |
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1 | (1) |
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2 | (2) |
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1.3 Characteristics of Railway Track Data |
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4 | (2) |
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1.4 Railway Track Engineering Problems |
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6 | (5) |
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1.5 Wheel--Rail Interface Data |
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11 | (4) |
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1.5.1 Switches and Crossings |
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14 | (1) |
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15 | (5) |
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1.7 Track Geometry Degradation Models |
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20 | (5) |
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1.7.1 Deterministic Models |
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21 | (1) |
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21 | (1) |
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22 | (1) |
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22 | (3) |
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25 | (1) |
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25 | (8) |
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1.9 Inspection and Detection Systems |
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33 | (4) |
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37 | (3) |
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1.11 Traditional Data Analysis Techniques |
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40 | (1) |
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1.11.1 Emerging Data Analysis |
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41 | (1) |
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41 | (8) |
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42 | (7) |
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2 Data Analysis -- Basic Overview |
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49 | (10) |
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49 | (1) |
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2.2 Exploratory Data Analysis (EDA) |
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49 | (4) |
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2.3 Symbolic Data Analysis |
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53 | (1) |
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2.3.1 Building Symbolic Data |
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54 | (1) |
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2.3.2 Advantages of Symbolic Data |
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54 | (1) |
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54 | (2) |
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2.5 Bayesian Methods and Big Data Analysis |
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56 | (1) |
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57 | (2) |
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57 | (2) |
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3 Machine Learning: A Basic Overview |
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59 | (54) |
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59 | (1) |
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60 | (1) |
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3.3 Unsupervised Learning |
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61 | (1) |
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3.4 Semi-Supervised Learning |
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61 | (1) |
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3.5 Reinforcement Learning |
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61 | (2) |
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63 | (1) |
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3.7 Data Science Ontology |
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63 | (6) |
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64 | (1) |
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64 | (1) |
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64 | (1) |
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3.7.2 Basic Operations with Kernels |
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65 | (1) |
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3.7.3 Different Kernel Types |
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65 | (1) |
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65 | (1) |
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66 | (1) |
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3.7.5.1 Support Vector Machines |
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66 | (3) |
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3.8 Imbalanced Classification |
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69 | (1) |
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70 | (1) |
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3.9.1 Receiver Operating Characteristic (ROC) Curves |
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70 | (1) |
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71 | (1) |
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71 | (3) |
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71 | (1) |
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72 | (2) |
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74 | (1) |
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3.11 Big P and Small N (P >> N) |
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74 | (5) |
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3.11.1 Bias and Variances |
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75 | (1) |
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3.11.2 Multivariate Adaptive Regression Splines (MARS) |
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75 | (4) |
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79 | (16) |
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79 | (2) |
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3.12.2 Deep Belief Networks |
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81 | (1) |
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3.12.2.1 Restricted Boltzmann Machines (RBM) |
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81 | (1) |
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3.12.2.2 Deep Belief Nets (DBN) |
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82 | (1) |
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3.12.3 Convolutional Neural Networks (CNN) |
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83 | (1) |
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3.12.4 Granular Computing (Rough Set Theory) |
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83 | (6) |
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89 | (1) |
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3.12.5.1 Measures of Similarity or Dissimilarity |
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89 | (1) |
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3.12.5.2 Hierarchical Methods |
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90 | (1) |
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3.12.5.3 Non-Hierarchical Clustering |
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91 | (1) |
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3.12.5.4 k-Means Algorithm |
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92 | (1) |
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3.12.5.5 Expectation--Maximization (EM) Algorithms |
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93 | (2) |
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3.13 Data Stream Processing |
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95 | (10) |
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3.13.1 Methods and Analysis |
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95 | (1) |
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96 | (1) |
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97 | (7) |
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3.13.3.1 Online Support Regression |
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104 | (1) |
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105 | (8) |
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105 | (8) |
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4 Basic Foundations of Big Data |
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113 | (20) |
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113 | (3) |
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116 | (7) |
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4.3 Taxonomy of Big Data Analytics in Railway Track Engineering |
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123 | (1) |
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124 | (6) |
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130 | (3) |
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130 | (3) |
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5 Hilbert--Huang Transform, Profile, Signal, and Image Analysis |
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133 | (24) |
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5.1 Hilbert--Huang Transform |
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133 | (17) |
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5.1.1 Traditional Empirical Mode Decomposition |
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134 | (4) |
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5.1.1.1 Side Effect (Boundary Effect) |
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138 | (1) |
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139 | (1) |
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5.1.1.3 Stopping Criterion |
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139 | (4) |
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5.1.2 Ensemble Empirical Mode Decomposition (EEMD) |
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143 | (1) |
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5.1.2.1 Post-Processing EEMD |
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144 | (1) |
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5.1.3 Complex Empirical Mode Decomposition (CEMD) |
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144 | (1) |
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145 | (1) |
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5.1.5 Bidimensional Empirical Mode Decomposition (BEMD) |
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146 | (1) |
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147 | (3) |
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5.2 Axle Box Acceleration |
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150 | (1) |
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150 | (1) |
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151 | (2) |
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153 | (4) |
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153 | (4) |
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6 Tensors -- Big Data in Multidimensional Settings |
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157 | (18) |
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157 | (1) |
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6.2 Notations and Definitions |
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158 | (3) |
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6.3 Tensor Decomposition Models |
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161 | (3) |
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6.3.1 Nonnegative Tensor Factorization |
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162 | (2) |
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164 | (6) |
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170 | (5) |
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171 | (4) |
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175 | (17) |
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175 | (9) |
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7.1.1 Archimedean Copulas |
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179 | (1) |
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7.1.1.1 Concordance Measures |
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180 | (3) |
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7.1.2 Multivariate Archimedean Copulas |
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183 | (1) |
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184 | (2) |
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7.3 Computational Example |
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186 | (6) |
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187 | (5) |
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192 | (5) |
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193 | (4) |
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8 Topological Data Analysis |
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197 | (10) |
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197 | (1) |
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197 | (6) |
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197 | (1) |
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198 | (1) |
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8.2.2.1 Simplicial Complex |
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199 | (1) |
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8.2.2.2 Cycles, Boundaries, and Homology |
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200 | (1) |
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8.2.3 Persistent Homology |
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201 | (1) |
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201 | (1) |
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8.2.4 Persistence Visualizations |
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201 | (1) |
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8.2.4.1 Persistence Diagrams |
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201 | (2) |
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8.3 A Simple Railway Track Engineering Application |
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203 | (1) |
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203 | (1) |
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204 | (3) |
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204 | (3) |
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207 | (18) |
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207 | (3) |
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9.1.1 Prior and Posterior Distributions |
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208 | (2) |
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9.2 Markov Chain Monte Carlo (MCMC) |
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210 | (1) |
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210 | (1) |
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9.2.2 Metropolis--Hastings |
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210 | (1) |
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9.3 Approximate Bayesian Computation |
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210 | (6) |
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9.3.1 ABC -- Rejection algorithm |
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211 | (5) |
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216 | (1) |
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9.4 Markov Chain Monte Carlo Application |
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216 | (3) |
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219 | (2) |
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221 | (4) |
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222 | (3) |
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10 Basic Bayesian Nonparametrics |
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225 | (10) |
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225 | (1) |
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226 | (1) |
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226 | (1) |
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10.2.1.1 Marginal Distribution |
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227 | (1) |
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227 | (4) |
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10.3.1 Stick-Breaking Construction |
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228 | (1) |
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10.3.2 Chinese Restaurant Process |
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229 | (1) |
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10.3.3 Chinese Restaurant Process (CRP) for Infinite Mixture |
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229 | (2) |
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10.3.4 Nonparametric Clustering and Dirichlet Process |
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231 | (1) |
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10.4 Finite Mixture Modeling |
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231 | (1) |
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10.5 Bayesian Nonparametric Railway Track |
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232 | (1) |
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233 | (2) |
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233 | (2) |
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235 | (6) |
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235 | (2) |
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11.1.1 Particle Swarm Optimization |
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235 | (2) |
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11.1.2 PSO Algorithm Parameters |
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237 | (1) |
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237 | (4) |
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239 | (2) |
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241 | (8) |
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241 | (1) |
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12.2 Differential Privacy |
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242 | (5) |
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12.2.1 Differential Privacy: Hypothetical Track Application |
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243 | (4) |
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247 | (2) |
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247 | (2) |
| Index |
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249 | |