TY - CONF AU - Ng, Andrew Y. AU - Jordan, Michael I. AU - Weiss, Yair A2 - T1 - On spectral clustering: Analysis and an algorithm T2 - Advances in Neural Information Processing Systems 14 PB - MIT Press C1 - PY - 2001/ CY - VL - IS - SP - 849 EP - 856 UR - DO - KW - clustering KW - community KW - detection KW - graph KW - spectral KW - theory L1 - SN - N1 - N1 - AB - Despite many empirical successes of spectral clustering methods| algorithms that cluster points using eigenvectors of matrices derived from the data|there are several unresolved issues. First, there are a wide variety of algorithms that use the eigenvectors in slightly dierent ways. Second, many of these algorithms have no proof that they will actually compute a reasonable clustering. In this paper, we present a simple spectral clustering algorithm that can be implemented using a few lines of Matlab. Using tools from matrix perturbation theory, we analyze the algorithm, and give conditions under which it can be expected to do well. We also show surprisingly good experimental results on a number of challenging clustering problems. 1 ER - TY - UNPB AU - Ranade, A.G. A2 - T1 - Some uses of spectral methods PY - 2000/ SP - EP - UR - DO - KW - clustering KW - graph KW - spectral KW - svd KW - theory L1 - N1 - N1 - AB - ER - TY - RPRT AU - Spielman, Daniel A. AU - Teng, Shang A2 - T1 - Spectral Partitioning Works: Planar Graphs and Finite Element Meshes PB - AD - Berkeley, CA, USA PY - 1996/ VL - IS - SP - EP - UR - DO - KW - clustering KW - community KW - detection KW - graph KW - spectral KW - survey KW - theory L1 - N1 - N1 - N1 - AB - ER - TY - JOUR AU - Pothen, A. AU - Simon, H.D. AU - Liou, K.P. T1 - Partitioning Sparse Matrices with Eigenvectors of Graphs JO - SIAM J. MATRIX ANAL. APPLIC. PY - 1990/ VL - 11 IS - 3 SP - 430 EP - 452 UR - http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19970011963_1997016998.pdf DO - KW - clustering KW - community KW - graph KW - partitioning KW - spectral KW - theory L1 - SN - N1 - N1 - AB - ER - TY - JOUR AU - Donath, W.E. AU - Hoffman, A.J. T1 - Lower bounds for the partitioning of graphs JO - IBM Journal of Research and Development PY - 1973/ VL - 17 IS - 5 SP - 420 EP - 425 UR - DO - KW - clustering KW - community KW - detection KW - graph KW - spectral KW - theory L1 - SN - N1 - N1 - AB - ER -