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» Spectral Techniques in Graph Algorithms
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IPCO
1993
98views Optimization» more  IPCO 1993»
13 years 9 months ago
A spectral approach to bandwidth and separator problems in graphs
Lower bounds on the bandwidth, the size of a vertex separator of general undirected graphs, and the largest common subgraph of two undirected (weighted) graphs are obtained. The b...
Christoph Helmberg, Bojan Mohar, Svatopluk Poljak,...
ICDE
2008
IEEE
203views Database» more  ICDE 2008»
14 years 9 months ago
Training Linear Discriminant Analysis in Linear Time
Linear Discriminant Analysis (LDA) has been a popular method for extracting features which preserve class separability. It has been widely used in many fields of information proces...
Deng Cai, Xiaofei He, Jiawei Han
SDM
2007
SIAM
143views Data Mining» more  SDM 2007»
13 years 9 months ago
Clustering by weighted cuts in directed graphs
In this paper we formulate spectral clustering in directed graphs as an optimization problem, the objective being a weighted cut in the directed graph. This objective extends seve...
Marina Meila, William Pentney
ICDM
2008
IEEE
122views Data Mining» more  ICDM 2008»
14 years 2 months ago
Nonnegative Matrix Factorization for Combinatorial Optimization: Spectral Clustering, Graph Matching, and Clique Finding
Nonnegative matrix factorization (NMF) is a versatile model for data clustering. In this paper, we propose several NMF inspired algorithms to solve different data mining problems....
Chris H. Q. Ding, Tao Li, Michael I. Jordan
SODA
2008
ACM
112views Algorithms» more  SODA 2008»
13 years 9 months ago
The effect of induced subgraphs on quasi-randomness
One of the main questions that arise when studying random and quasi-random structures is which properties P are such that any object that satisfies P "behaves" like a tr...
Asaf Shapira, Raphael Yuster