Why it matters

PageRank is landmark algorithm. Understanding shapes graph analysis.

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The architecture

M: stochastic transition matrix.

R = alpha * M R + (1 - alpha) / n * 1.

Alpha = 0.85 damping.

PageRank flowStochastic matrixM from linksDamping + iteratepower iterationEigenvector RPageRank valuesBrin + Page 1998; damping factor 0.85 standard; foundation of Google
PageRank deep.
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How it works end to end

Power iteration converges.

Personalized PageRank variants.

Applications: web + citation + recommendations.