Spectral clustering: Difference between revisions

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[[File:K-means v.s. Spectral Clustering.png|thumb|A figure showing the relative strengths of K-means and spectral clustering.<ref>{{Citation
| last = Martin
| first = Charles
| url = http://charlesmartin14.wordpress.com/2012/10/09/spectral-clustering/
| title = Spectral Clustering: A quick overview
| date = October 9, 2012}}</ref>]]
 
In [[multivariate statistics]] and the [[cluster analysis|clustering]] of data, '''spectral clustering''' techniques make use of the [[Spectrum of a matrix|spectrum]] ([[eigenvalues]]) of the [[similarity matrix]] of the data to perform [[dimensionality reduction]] before clustering in fewer dimensions. The similarity matrix is provided as an input and consists of a quantitative assessment of the relative similarity of each pair of points in the dataset.