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LIST OF FIGURES Figure 1.1 Figure 1.2 Figure 1.3 Figure 1.4 Figure 2.1 Figure 2.2 Figure 2.3 Figure 2.4 Figure 2.5 Figure 3.1 Figure 3.2 Figure 3.3 Figure 4.1 Figure 4.2 Figure 4.3 Figure 4.4 Figure 4.5 Figure 4.6 Figure 4.7 Figure 4.8 Figure 4.9 Figure 4.10 Figure 4.11 Figure 4.12 Figure 4.13 Figure 4.14 Figure 5.1 Figure 5.2 Figure 5.3 Figure 5.4 A pictorial illustration of the PageRank model 3 Relationships between web pages and graphs 5 PageRank with a random variable as the teleportation parameter 9 Performance of the PageRank algorithm 10 PageRank papers by year 13 Overview of PageRank formulations Gauss-Seidel vs. the power method Strong component PageRank mass A PageRank function 42 16 30 34 Valid Taylor steps 56 PageRank derivative magnitude Relative magnitude of the PageRank derivative 60 Empirically measured teleportation coefficients 79 The framework for Gauss quadrature error analysis The Gauss quadrature error analysis applied to PageRank 91 PageRank magnitude for a complex damping parameter 91 Quadrature convergence with extreme endpoint 92 Convergence of algorithms for RAPr 93 Timing for the RAPr algorithms 94 Intersection similarity between PageRank and the RAPr model 99 Standard deviation and spam 102 Performance of the inner-outer iteration with varied β and η 117 Performance of the PageRank algorithm 118 Parallel performance of the inner-outer iteration 121 Inner-Outer preconditioner spectrum 123 60 Differences between PageRank and the Random Alpha PageRank model 64 An example of the Random Alpha PageRank model 66 Inverse Gaussian density 69 Beta distributions and Random Alpha PageRank vectors 73 Path damping coefficients for the Random Alpha PageRank model 77 xix 90PDF Image | Instagram Cheat Sheet
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