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CONTENTS Abstract v Preface vii Acknowledgments ix 1 Introduction 1 1.1 PageRank and web search 1.2 PageRank on a graph 1.3 Variations on the PageRank theme 4 1.4 Other uses for PageRank 6 1.5 Contributions 7 2 PageRank background 11 2.1 Matrix computation preliminaries 12 2.2 The PageRank problem 13 2.3 Connections with Langville and Meyer’s notation 2.4 Algorithms 20 2.5 PageRank parameters 26 2.6 The PageRank function of the damping parameter 2.7 The limit case 30 2.8 PageRank datasets 3 The PageRank derivative 41 3.1 Formulations 42 3.2 Algorithms 45 3.3 Analysis 48 3.4 Experiments 50 3.5 Discussion 53 4 Random Alpha PageRank 55 4.1 Notation 57 4.2 Vision 58 4.3 Related work 60 4.4 The Random Alpha PageRank model 63 4.5 Empirical distribution 70 4.6 Algorithms 72 4.7 Algorithm analysis 77 4.8 Applications 86 5 An inner-outer iteration for PageRank 5.1 Existing PageRank algorithms 96 5.2 Algorithms 97 xiii 34 1 4 95 19 28PDF Image | ALGORITHMS FOR PAGERANK SENSITIVITY DISSERTATION
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