SIMILARITY SEARCH The Metric Space Approach
Table of Contents P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 2
Foundations of metric space searching P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 3
Distance searching problem P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 4
Distance searching problem P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 5
Distance searching problem P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 6
Distance searching problem P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 7
Metric space P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 8
Metric space P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 9
Pseudo metric P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 10
Quasi metric P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 11
Super metric P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 12
Foundations of metric space searching P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 13
Distance measures P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 14
Minkowski distances P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 15
Special cases P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 16
Quadratic form distance P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 17
Example P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 18
Example (continue) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 19
Edit distance P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 20
Edit distance - weights P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 21
Edit distance - generalizations P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 22
Jaccard’s coefficient P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 23
Hausdorff distance P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 24
Hausdorff distance (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 25
Foundations of metric space searching P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 26
Similarity Queries P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 27
Similarity Range Query P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 28
Nearest Neighbor Query P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 29
Reverse Nearest Neighbor P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 30
Example of 2 -RNN P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 31
Similarity Queries P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 32
Combined Queries P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 33
Complex Queries P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 34
The A 0 Algorithm P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 35
Foundations of Metric Space Searching P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 36
Partitioning Principles P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 37
Ball partitioning P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 38
Multi-way ball partitioning P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 39
Generalized Hyper-plane Partitioning P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 40
Excluded Middle Partitioning P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 41
Foundations of metric space searching P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 42
Basic Strategies 3 10 8 1 P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 43
Basic Strategies (cont. ) 3 3 1 9 8 10 P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach 1 1 3 8 Part I, Chapter 1 1 1 3 44
Hypothetical Index Organization P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 45
Example of Index Organization P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 46
Range Search Algorithm P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 47
Range Search Algorithm (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 48
Nearest Neighbor Search Algorithm P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 49
NN Search Algorithm (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 50
NN Search Algorithm (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 51
NN Search Algorithm (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 52
Incremental Similarity Search P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 53
Incremental NN Search P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 54
Incremental NN Search (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 55
Incremental NN Search (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 56
Foundations of metric space searching P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 57
Avoiding Distance Computations P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 58
Explanatory Example P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 59
Object-Pivot Distance Constraint P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 60
Object-Pivot Constraint (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 61
Object-Pivot Constraint (summary) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 63
Range-Pivot Distance Constraint P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 64
Range-Pivot Constraint (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 65
Range-Pivot Constraint (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 66
Range-Pivot Constraint (summary) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 67
Pivot-Pivot Distance Constraint P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 68
Pivot-Pivot Constraint (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 69
Pivot-Pivot Constraint (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 70
Pivot-Pivot Constraint (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 71
Pivot-Pivot Constraint (summary) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 72
Double-Pivot Distance Constraint P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 73
Double-Pivot Constraint (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 74
Double-Pivot Constraint (summary) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 75
Pivot Filtering P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 76
Pivot Filtering (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 77
Pivot Filtering (summary) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 78
Pivot Filtering (consideration) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 79
Constraints & Explanatory Example 1 P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 80
Constraints & Explanatory Example 2 P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 81
Constraints & Explanatory Example 3 P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 82
Constraints & Explanatory Example 4 P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 83
Foundations of metric space searching P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 84
Metric Space Transformation P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 85
Metric Space Transformation P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 86
Lower Bounding Metric Functions P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 87
Lower Bounding Functions (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 88
Example of Lower Bounding Functions P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 89
Example of Lower Bounding Functions P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 90
User-defined Metric Functions P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 91
User-defined Metric Functions P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 92
User-defined Metric Functions P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 93
Embedding the Metric Space P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 94
Embedding Examples P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 95
Embedding Examples P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 96
Foundations of metric space searching P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 97
Principles of Approx. Similarity Search P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 98
Principles of Approx. Similarity Search (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 99
Approx. Similarity Search: Basic Strategies P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 100
Basic Strategies (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 101
Reducing Volume of Examined Data P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 102
Early Termination Strategies P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 103
Early Termination Strategies (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 104
Early Termination Strategies (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 105
Relaxed Branching Strategies P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 106
Approximate Search: Example P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 107
Approximate Search: Range Query P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 108
Approximate Search: 2 -NN Query P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 109
Measures of Performance P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 110
Measures of Performance: Improvement in Efficiency P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 111
Improvement in Efficiency (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 112
Measures of Performance: Precision and Recall P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 113
Precision and Recall (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 114
Precision and Recall (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 115
Precision and Recall (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 116
Precision and Recall (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 117
Measures of Performance: Relative Error on Distances P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 118
Relative Error on Distances (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 119
Relative Error on Distances (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 120
Measures of Performance: Error on Position P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 121
Error on Position (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 122
Error on Position (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 123
Error on Position (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 124
Error on Position (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 125
Foundations of metric space searching P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 126
Statistics on Metric Datasets P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 127
Statistics on Metric Datasets (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 128
Data Density vs. Distance Density P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 129
Data Density vs. Distance Density (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 130
Distance Distribution and Distance Density P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 131
Distance Distribution and Distance Density (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 132
Homogeneity of Viewpoints P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 133
Homogeneity of Viewpoints (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 134
Homogeneity of Viewpoints (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 135
Proximity of Ball Regions P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 136
Proximity of Ball Regions (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 137
Proximity of Ball Regions: Partitioning P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 138
Proximity of Ball Regions: Data Allocation P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 139
Proximity of Ball Regions: Approximate Search P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 140
Proximity of Metric Ball Regions P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 141
Proximity of Metric Ball Regions (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 142
Proximity: Computational Difficulties P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 143
Proximity: Computational Difficulties (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 144
Proximity: Considerations (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 145
Proximity: Considerations (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 146
Proximity: Approximation P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 147
Performance Prediction P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 148
Performance Prediction: Range Search P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 149
Performance Prediction: Range Search (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 150
Performance Prediction: Range Search (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 151
Performance Prediction: Range Search (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 152
Performance Prediction: Range Search (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 153
Performance Prediction: k-NN Search P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 154
Performance Prediction: k-NN Search (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 155
Tree Quality Measures P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 156
Tree Quality Measures (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 157
Tree Quality Measures (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 158
Tree Quality Measures (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 159
Tree Quality Measures: Fat Factor P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 160
Fat Factor (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 161
Absolute Fat Factor: definition P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 162
Absolute Fat Factor: Example P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 163
Absolute Fat Factor: Example P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 164
Absolute Fat Factor: Summary P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 165
Relative Fat Factor: Definition P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 166
Relative Fat Factor: Example P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 167
Tree Quality Measures: Conclusion P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 168
Choosing Reference Points P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 169
Choosing Reference Points (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 170
Choosing Reference Points: Example P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 171
Choosing Reference Points: Example P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 172
Choosing Reference Points: Example P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 173
Choosing Good Pivots P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 174
Choosing Reference Points: Heuristics P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 175
Choosing More Pivots P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 176
Choosing More Pivots (cont. ) P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 177
Choosing Pivots: Efficiency Criterion P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 178
Choosing Pivots: Efficiency Criterion P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 179
Efficiency Criterion: Example 2. 83 1 3 3 2 2. 24 P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 180
Choosing Pivots: Incremental Selection P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 181
Choosing Reference Points: Summary P. Zezula, G. Amato, V. Dohnal, M. Batko: Similarity Search: The Metric Space Approach Part I, Chapter 1 182
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