Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adjusting PageRank parameters and Comparing results   The effect of adjusting damping factor {\alpha} and tolerance {\tau} on
iterations needed for PageRank computation is studied here. Relative
performance of PageRank computation with L1, L2, and L{\infty} norms used as
convergence check, are also compared with six possible mean ratios. It is
observed that increasing the damping factor {\alpha} linearly increases the
iterations needed almost exponentially. On the other hand, decreasing the
tolerance {\tau} exponentially decreases the iterations needed almost
exponentially. On average, PageRank with L{\infty} norm as convergence check is
the fastest, quickly followed by L2 norm, and then L1 norm. For large graphs,
above certain tolerance {\tau} values, convergence can occur in a single
iteration. On the contrary, below certain tolerance {\tau} values, sensitivity
issues can begin to appear, causing computation to halt at maximum iteration
limit without convergence. The six mean ratios for relative performance
comparison are based on arithmetic, geometric, and harmonic mean, as well as
the order of ratio calculation. Among them GM-RATIO, geometric mean followed by
ratio calculation, is found to be most stable, followed by AM-RATIO.

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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org