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Optimized Data Fusion for Kernel k-Means Clustering
May 2012 (vol. 34 no. 5)
pp. 1031-1039
Shi Yu, Katholieke Universiteit Leuven, Leuven
Léon-Charles Tranchevent, Katholieke Universiteit Leuven, Leuven
Xinhai Liu, Katholieke Universiteit Leuven, Leuven
Wolfgang Glänzel, Katholieke Universiteit Leuven, Leuven
Johan A.K. Suykens, Katholieke Universiteit Leuven, Leuven
Bart De Moor, Katholieke Universiteit Leuven, Leuven
Yves Moreau, Katholieke Universiteit Leuven, Leuven
This paper presents a novel optimized kernel k-means algorithm (OKKC) to combine multiple data sources for clustering analysis. The algorithm uses an alternating minimization framework to optimize the cluster membership and kernel coefficients as a nonconvex problem. In the proposed algorithm, the problem to optimize the cluster membership and the problem to optimize the kernel coefficients are all based on the same Rayleigh quotient objective; therefore the proposed algorithm converges locally. OKKC has a simpler procedure and lower complexity than other algorithms proposed in the literature. Simulated and real-life data fusion applications are experimentally studied, and the results validate that the proposed algorithm has comparable performance, moreover, it is more efficient on large-scale data sets. (The Matlab implementation of OKKC algorithm is downloadable from http://homes.esat.kuleuven.be/~sistawww/bio/syu/okkc.html.)

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Index Terms:
Clustering, data fusion, multiple kernel learning, Fisher discriminant analysis, least-squares support vector machine.
Citation:
Shi Yu, Léon-Charles Tranchevent, Xinhai Liu, Wolfgang Glänzel, Johan A.K. Suykens, Bart De Moor, Yves Moreau, "Optimized Data Fusion for Kernel k-Means Clustering," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 34, no. 5, pp. 1031-1039, May 2012, doi:10.1109/TPAMI.2011.255
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