This paper presents a simple algorithm of clustering, based on the spectral theory. Compare with other spectral clustering methods (such as normalized cut), the algorithm is much easier to understand and implement. The key idea is that, unlike previous methods, many eigenvectors are used instead of only one.

For the trivial case, it's easy to understand that the eigenspace perfectly represents the clustering result. However, for the general case, the analysis is difficult to understand (at least to me). The authors make 4 assumptions, and also show those assumptions are reasonable in the general cases. Under these assumptions, the performance of the algorithm is guaranteed.

In summary, I seldom like the papers from NIPS....too hard for me...

## Tuesday, May 13, 2008

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