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                                                                                       Contents  xiii



                                       5.2.2  BUC: Computing Iceberg Cubes from the Apex Cuboid
                                             Downward   200
                                       5.2.3  Star-Cubing: Computing Iceberg Cubes Using a Dynamic
                                             Star-Tree Structure  204
                                       5.2.4  Precomputing Shell Fragments for Fast High-Dimensional OLAP  210
                                 5.3   Processing Advanced Kinds of Queries by Exploring Cube
                                       Technology 218
                                       5.3.1  Sampling Cubes: OLAP-Based Mining on Sampling Data 218
                                       5.3.2  Ranking Cubes: Efficient Computation of Top-k Queries  225
                                 5.4   Multidimensional Data Analysis in Cube Space  227
                                       5.4.1  Prediction Cubes: Prediction Mining in Cube Space  227
                                       5.4.2  Multifeature Cubes: Complex Aggregation at Multiple
                                             Granularities 230
                                       5.4.3  Exception-Based, Discovery-Driven Cube Space Exploration  231
                                 5.5   Summary    234
                                 5.6   Exercises 235
                                 5.7   Bibliographic Notes  240


                       Chapter 6 Mining Frequent Patterns, Associations, and Correlations: Basic
                                 Concepts and Methods    243
                                 6.1   Basic Concepts 243
                                       6.1.1  Market Basket Analysis: A Motivating Example 244
                                       6.1.2  Frequent Itemsets, Closed Itemsets, and Association Rules  246
                                 6.2   Frequent Itemset Mining Methods   248
                                       6.2.1  Apriori Algorithm: Finding Frequent Itemsets by Confined
                                             Candidate Generation  248
                                       6.2.2  Generating Association Rules from Frequent Itemsets  254
                                       6.2.3  Improving the Efficiency of Apriori 254
                                       6.2.4  A Pattern-Growth Approach for Mining Frequent Itemsets 257
                                       6.2.5  Mining Frequent Itemsets Using Vertical Data Format 259
                                       6.2.6  Mining Closed and Max Patterns  262
                                 6.3   Which Patterns Are Interesting?—Pattern Evaluation
                                       Methods   264
                                       6.3.1  Strong Rules Are Not Necessarily Interesting 264
                                       6.3.2  From Association Analysis to Correlation Analysis 265
                                       6.3.3  A Comparison of Pattern Evaluation Measures  267
                                 6.4   Summary    271

                                 6.5   Exercises  273
                                 6.6   Bibliographic Notes  276
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