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1 | (6) |
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7 | (40) |
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2.1 Individuals, Classes, Observations, and Descriptions |
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8 | (1) |
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2.2 Types of Symbolic Data |
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9 | (8) |
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2.2.1 Multi-valued or Lists of Categorical Data |
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9 | (1) |
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2.2.2 Modal Multi-valued Data |
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10 | (2) |
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12 | (1) |
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13 | (1) |
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2.2.5 Other Types of Symbolic Data |
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14 | (3) |
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2.3 How do Symbolic Data Arise? |
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17 | (7) |
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2.4 Descriptive Statistics |
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24 | (14) |
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25 | (1) |
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26 | (2) |
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2.4.3 Sample Covariance and Correlation |
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28 | (3) |
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31 | (7) |
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38 | (9) |
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39 | (2) |
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41 | (6) |
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3 Dissimilarity, Similarity, and Distance Measures |
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47 | (36) |
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3.1 Some General Basic Definitions |
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47 | (8) |
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3.2 Distance Measures: List or Multi-valued Data |
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55 | (7) |
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3.2.1 Join and Meet Operators for Multi-valued List Data |
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55 | (1) |
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3.2.2 A Simple Multi-valued Distance |
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56 | (2) |
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3.2.3 Gowda-Diday Dissimilarity |
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58 | (2) |
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3.2.4 Ichino-Yaguchi Distance |
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60 | (2) |
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3.3 Distance Measures: Interval Data |
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62 | (17) |
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3.3.1 Join and Meet Operators for Interval Data |
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62 | (1) |
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63 | (5) |
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3.3.3 Gowda-Diday Dissimilarity |
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68 | (5) |
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3.3.4 Ichino-Yaguchi Distance |
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73 | (3) |
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3.3.5 De Carvalho Extensisons of Ichino-Yaguchi Distances |
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76 | (3) |
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79 | (4) |
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79 | (3) |
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82 | (1) |
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4 Dissimilarity, Similarity, and Distance Measures: Modal Data |
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83 | (36) |
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4.1 Dissimilarity/Distance Measures: Modal Multi-valued List Data |
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83 | (10) |
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4.1.1 Union and Intersection Operators for Modal Multi-valued List Data |
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84 | (1) |
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4.1.2 A Simple Modal Multi-valued List Distance |
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85 | (2) |
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4.1.3 Extended Multi-valued List Gowda-Diday Dissimilarity |
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87 | (3) |
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4.1.4 Extended Multi-valued List Ichino-Yaguchi Dissimilarity |
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90 | (3) |
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4.2 Dissimilarity/Distance Measures: Histogram Data |
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93 | (26) |
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4.2.1 Transformation of Histograms |
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94 | (4) |
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4.2.2 Union and Intersection Operators for Histograms |
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98 | (3) |
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4.2.3 Descriptive Statistics for Unions and Intersections |
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101 | (3) |
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4.2.4 Extended Gowda-Diday Dissimilarity |
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104 | (4) |
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4.2.5 Extended Ichino-Yaguchi Distance |
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108 | (4) |
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4.2.6 Extended de Carvalho Distances |
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112 | (3) |
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4.2.7 Cumulative Density Function Dissimilarities |
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115 | (2) |
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117 | (1) |
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118 | (1) |
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5 General Clustering Techniques |
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119 | (30) |
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5.1 Brief Overview of Clustering |
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119 | (1) |
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120 | (5) |
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125 | (6) |
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131 | (15) |
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146 | (3) |
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6 Partitioning Techniques |
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149 | (48) |
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6.1 Basic Partitioning Concepts |
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150 | (3) |
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6.2 Multi-valued List Observations |
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153 | (6) |
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159 | (10) |
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6.4 Histogram Observations |
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169 | (8) |
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6.5 Mixed-valued Observations |
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177 | (2) |
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6.6 Mixture Distribution Methods |
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179 | (7) |
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6.7 Cluster Representation |
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186 | (3) |
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189 | (8) |
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191 | (2) |
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193 | (4) |
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7 Divisive Hierarchical Clustering |
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197 | (64) |
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197 | (6) |
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7.1.1 Partitioning Criteria |
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197 | (3) |
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7.1.2 Association Measures |
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200 | (3) |
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203 | (33) |
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7.2.1 Modal Multi-valued Observations |
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205 | (9) |
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7.2.2 Non-modal Multi-valued Observations |
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214 | (2) |
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7.2.3 Interval-valued Observations |
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216 | (9) |
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7.2.4 Histogram-valued Observations |
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225 | (11) |
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236 | (14) |
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250 | (7) |
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257 | (4) |
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258 | (3) |
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8 Agglomerative Hierarchical Clustering |
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261 | (56) |
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8.1 Agglomerative Hierarchical Clustering |
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261 | (28) |
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8.1.1 Some Basic Definitions |
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261 | (5) |
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8.1.2 Multi-valued List Observations |
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266 | (3) |
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8.1.3 Interval-valued Observations |
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269 | (9) |
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8.1.4 Histogram-valued Observations |
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278 | (3) |
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8.1.5 Mixed-valued Observations |
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281 | (1) |
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8.1.6 Interval Observations with Rules |
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282 | (7) |
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289 | (28) |
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289 | (8) |
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8.2.2 Pyramid Construction Based on Generality Degree |
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297 | (12) |
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8.2.3 Pyramids from Dissimilarity Matrix |
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309 | (3) |
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312 | (1) |
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313 | (2) |
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315 | (2) |
References |
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317 | (14) |
Index |
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331 | |