Abstract
The classification problem involves classifying an observation into one of two groups based on its attributes.Determination of a hyperplane which misclassifies the fewest number of observations from the training sample is a hard combinatorial optimization problem and the sequential algorithms for it are still not practical for large size instances. We propose a parallel branch-and-bound algorithm for the problem on distributed-memory MIMD architectures.It achieves a good load balance and a small communication overhead by using a simple load balancing scheme.Our approach is validated by experimental results.
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References
Banks, W., Abad, P.: An efficient optimal solution algorithm for the classification problem. Decision sciences 22, 1008–1023 (1991)
Cung, V.-D., Dowaji, S., Le Cun, B., Mautor, T., Roucairol, C.: Concurrent data structures and load balancing strategies for parallel branch-and-bound/A*algorithms. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 30, pp. 141–161 (1997)
Koehler, G., Erenguc, S.: Minimizing misclassifications in linear discriminant analysis. Decision sciences 21, 63–85 (1990)
Kumar, V., Grama, A., Gupta, A., Karypis, G.: Introduction to parallel computing: design and analysis of parallel algorithms, ch. 8, pp. 299–353. The Benjamin/ Cummings Publishing Company, Inc., Redwood City (1994)
Lai, T.H., Sahni, S.: Anomalies in parallel branch and bound algorithms. Communications of the ACM, 594–602 (1984)
Li, G.-J., Wah, B.W.: Coping with anomalies in parallel branch-and-bound algorithms. IEEE Transactions on Computers C-35 (1986)
Murphy, P., Aha, D.: UCI repository of machine learning databases, Department of Information and Computer Science, University of California, Irvine (1992)
Rao, V.N., Kumar, V.: On the efficiency of parallel backtracking. IEEE Transactions on Parallel and Distributed Systems 4, 427–437 (1993)
Yanev, N., Balev, S.: A combinatorial approach to the classification problem. European Journal of Operational Research 115, 339–350 (1999)
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© 1999 Springer-Verlag Berlin Heidelberg
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Balev, S., Andonov, R., Freville, A. (1999). A Parallel Branch-and-Bound Algorithm for the Classification Problem. In: Banerjee, P., Prasanna, V.K., Sinha, B.P. (eds) High Performance Computing – HiPC’99. HiPC 1999. Lecture Notes in Computer Science, vol 1745. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46642-0_40
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DOI: https://doi.org/10.1007/978-3-540-46642-0_40
Publisher Name: Springer, Berlin, Heidelberg
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