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LIST OF TABLES Table 1.1 Table 1.2 Table 2.1 Table 2.2 Table 3.1 Table 3.2 Table 3.3 Table 4.1 Table 4.2 Table 4.3 Table 4.4 Table 4.5 Table 4.6 Table 5.1 Table 5.2 Table 5.3 Table 5.4 Table 5.5 Table 5.6 Table 5.7 Table 6.1 Table 6.2 Highest PageRank pages in Wikipedia 3 Pages in Wikipedia with the largest derivative 8 Relationship to Langville and Meyer’s PageRank notation 19 Publically available datasets for PageRank Experimental validation of theorem 7 49 Prediction of rank change with the derivative Pages in Wikipedia with the largest derivative 38 Additional notation for the random alpha PageRank model 57 Summary of convergence results for the RAPr model 77 A comparison between PageRank and Random Alpha PageRank 87 PageRank vs. random alpha PageRank sensitivity on a big graph 89 RAPr vs. PageRank on the generank data 90 Spam classification performance 93 Inner iteration counts 106 Performance of the inner-outer iteration on various graphs 107 Performance of the Gauss-Seidel inner-outer iteration 108 Inner-Outer preconditioned BiCG-STAB performance 112 IsoRank datasets 113 Inner-Outer performance for IsoRank 113 Convergence rates with inner-outer iterations 115 Algorithms in gaimc 130 gaimc evaluation graphs 136 xv 50 51PDF Image | ALGORITHMS FOR PAGERANK SENSITIVITY DISSERTATION
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