Probabilistic D-clustering

Journal of Classification

Volumn 25, Issue 1, 2008, Pages 5-26

  Ben Israel, Adi ^a   Iyigun, Cem ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Clustering; Harmonic mean; Joint distance function; Mahalanobis distance; Probabilistic clustering; Similarity matrix; Weiszfeld method

Indexed keywords

EID: 49349117894     PISSN: 01764268     EISSN: 14321343     Source Type: Journal    
DOI: 10.1007/s00357-008-9002-z     Document Type: Article

References (20)

1. ARAV, M. "Contour Approximation of Data and the Harmonic Mean", Mathematical Inequalities & Applications, (to appear).
2. BEZDEK, J.C. (1973), "Fuzzy Mathematics in Pattern Classification", Ph.D. Thesis (Applied Mathematics), Cornell University, Ithaca, New York.
3. BEZDEK, J.C. (1981), Pattern Recognition with Fuzzy Objective Function Algorithms, New York: Plenum.
4. K.R. DIXON J.A. CHAPMAN 1980 Harmonic Mean Measure of Animal Activity Areas Ecology 61 1040 1044
5. HARTIGAN, J. (1975), Clustering Algorithms, New York:John Wiley & Sons, Inc.
6. W.J. HEISER 2004 Geometric Representation of Association Between Categories Psychometrika 69 513 545
7. HÖPPNER, F., KLAWONN, F., KRUSE, R., and RUNKLER, T. (1999), Fuzzy Cluster Analysis, Chichester, England:John Wiley & Sons, Inc.
8. HUBERT, L., and STEINLEY, D.(2005), "Agreement Among Supreme Court Justices: Categorical vs. Continuous Representation", SIAM News, 38(7).
9. IYIGUN, C., and BEN-ISRAEL, A. "Probabilistic Distance Clustering Adjusted for Cluster Size", Probability in the Engineering and Informational Sciences, (to appear).
10. IYIGUN, C., and BEN-ISRAEL, A. "A Generalized Weiszfeld Method for Multifacility Location Problems", (to appear).
11. IYIGUN, C., and BEN-ISRAEL, A. "Probabilistic Distance Clustering, Theory and Applications", W. Chaovalitwongse, P.M. Pardalos (Eds.), Clustering Challenges in Biological Networks, World Scientific. (to appear)
12. IYIGUN, C., and BEN-ISRAEL, A. "A New Criterion for Clustering Validity via Contour Approximation of Data", (to appear).
13. IYIGUN, C., and BEN-ISRAEL, A. "Probabilistic Semi-Supervised Clustering", (to appear).
14. JAIN, A.K., and DUBES, R.C. (1988), Algorithms for Clustering Data, Prentice Hall.
15. H.W. KUHN 1973 A Note on Fermat's Problem Math. Programming 4 98 107
16. LOVE, R., MORRIS, J., and WESOLOWSKY, G. (1988), Facilities Location: Models and Methods, North-Holland.
17. L.M. OSTRESH Jr. 1978 On the Convergence of a Class of Iterative Methods for Solving the Weber Location Problem Operations Research 26 597 609
18. TAN, P., STEINBACH, M., and KUMAR, V. (2006), Introduction to Data Mining, Addison Wesley.
19. M. TEBOULLE 2007 A Unified Continuous Optimization Framework for Center-Based ClusteringMethods Journal of Machine Learning 8 65 102
20. E. WEISZFELD 1937 Sur le point par lequel la somme des distances de n points donńes est minimum Tohoku Math. J. 43 355 386