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Read e-book online Classification, Clustering, and Data Mining Applications PDF

By David Banks, Leanna House, Frederick R. McMorris, Phipps Arabie, Wolfgang Gaul

ISBN-10: 3540220143

ISBN-13: 9783540220145

This quantity describes new tools with specific emphasis on class and cluster research. those equipment are utilized to difficulties in info retrieval, phylogeny, scientific analysis, microarrays, and different lively examine parts.

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Extra resources for Classification, Clustering, and Data Mining Applications

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P and k = 1, ... , K, compute A{. (c) The "allocation" step. test f - O. For i in 1 to n do: Define the cluster Gk* such that k* = argmink=l K d~(Xi' Yk)' Ff i E Gk and k* -I- k ,... , test f- Gh f- 1 Gh U {i} Gk f - Gk \{i}. (d) If test = 0 the END, else go to (b). 4 Experimental Evaluation with Artificial Data The adaptive dynamic cluster method based on L1 distance has been studied by Diday and Govaert (1977). As an example of adaptive and non-adaptive dynamic clusters based on Lr distances, we consider here the comparison between the adaptive and the non-adaptive methods for the case of L2 distance.

Yk) = , A , 2:: 2:: (Ixi - Yklr j=l iECk and we search, for j = 1, ... ,p, for the quantity Yk which minimizes: (3) 36 De Carvalho et al. i(yO = L (Ix{- y{lr· (4) iEC k When r E {I, 2} the minimum of the equation (4) has an analytical solution. For r = 1, y{ is the median of {xL i E C k }; for r = 2, y{ is the average of {xLi E Ck}. , V l E {I, ... , #Ck}, x~l) E X6k {x{1 i E Cd and V l E {I, ... , #Ck -I}, X~l) Let the functions it, t ::::; X~l+l)' = 0, ... , #Ck, be defined by #Ck it(Y{) = L (lxCl) - y{lr, y{ E (5) Bt 1=1 where Bo = (-00, xCI)], Bt = [X~l)' x~l+l)], for t, l = 1, ...

Taillard, E. , and Dorigo, M. (1999). "Ant Colonies for the QAP," Journal of Operations Research Society, 50, 167~ 176. 7. , et al. (1993). "Tabu Search: An Introduction," Annals of Operations Research, 41, 1~28. 8. Goldberg, D. E. (1989). Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley, Reading MA. 9. B. (1967). "Some Methods for Classification and Analysis of Multivariate Observations," Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probability, Vol.

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Classification, Clustering, and Data Mining Applications by David Banks, Leanna House, Frederick R. McMorris, Phipps Arabie, Wolfgang Gaul


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