A Coding Approach to Signed Graphs
SIAM Journal on Discrete Mathematics
Local Search Heuristics for k-Median and Facility Location Problems
SIAM Journal on Computing
Machine Learning
Cluster graph modification problems
Discrete Applied Mathematics - Discrete mathematics & data mining (DM & DM)
Aggregating inconsistent information: ranking and clustering
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Correlation clustering with a fixed number of clusters
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Clustering with qualitative information
Journal of Computer and System Sciences - Special issue: Learning theory 2003
Spectral clustering with inconsistent advice
Proceedings of the 25th international conference on Machine learning
Optimal edge deletions for signed graph balancing
WEA'07 Proceedings of the 6th international conference on Experimental algorithms
Ranking tournaments: Local search and a new algorithm
Journal of Experimental Algorithmics (JEA)
Separator-based data reduction for signed graph balancing
Journal of Combinatorial Optimization
A polynomial time approximation scheme for k-consensus clustering
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
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CorrelationClusteringis now an established problem in the algorithms and constrained clustering communities. With the requirement that at most two clusters be formed, the minimisation problem is related to the study of signed graphsin the social psychology community, and has applications in statistical mechanics and biological networks.Although a PTAS exists for this problem, its running time is impractical. We therefore introduce a number of new algorithms for 2CC, including two that incorporate some notion of local search. In particular, we show that the algorithm we call PASTA-tossis a 2-approximation on complete graphs.Experiments confirm the strong performance of the local search approaches, even on non-complete graphs, with running time significantly lower than rival approaches.