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HITS is Principal Components Analysis

Authors: Marco Saerens; François Fouss;

HITS is Principal Components Analysis

Abstract

In this work, we show that Kleinberg's hubs and authorities model (HITS) is simply principal components analysis (PCA; maybe the most widely used multivariate statistical analysis method), albeit without centering, applied to the adjacency matrix of the graph of Web pages. We further show that a variant of HITS, SALSA, is closely related to correspondence analysis, another standard multivariate statistical analysis method. In addition, to provide a clear statistical interpretation for HITS, this result suggests to rely on existing work already published in the multivariate statistical analysis literature (extensions of PCA or correspondence analysis) in order to analyse or design new Web pages scoring procedures.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
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