Generating additive clustering models with minimal stochastic complexity

Journal of Classification

Volumn 19, Issue 1, 2002, Pages 69-85

  Lee, Michael D ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Additive clustering; Overlapping clustering; Stochastic complexity

Indexed keywords

EID: 0036882184     PISSN: 01764268     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00357-001-0033-y     Document Type: Article

References (25)

1. AKAIKE, H. (1974), "A New Look at the Statistical Model Identification," IEEE Transactions on Automatic Control 19, 716-723.
2. ARABIE, P., and CARROLL, J.D. (1980), "MAPCLUS: A Mathematical Programming Approach to Fitting the ADCLUS Model," Psychometrika 45(2), 211-235.
3. ARABIE, P., CARROLL, J.D., and DESARBO, W.S. (1987), Three-Way Scaling and Clustering, Newbury Park, CA: Sage.
4. ARABIE, P., and SHEPARD, R.N. (1973), "Representation of Similarities as Combinations of Discrete, Overlapping Properties," Paper presented at Mathematical Psychological Meeting, Montréal.
5. CARROLL, J.D., and CHATURVEDI, A. (1995), "A General Approach to Clustering and Multidimensional Scaling of Two-Way, Three-Way, or Higher-Way Data," In Geometric Representations of Perceptual Phenomena, Eds., R.D. Luce, M. D'zmura, D.D. Huffman, G. Iverson, and A.K. Romney, Mahwah, NJ: Erlbaum, pp. 295-318.
6. CHATURVEDI, A., and CARROLL, J.D. (1994), "An Alternating Combinatorial Optimization Approach to Fitting the INDCLUS and Generalized INDCLUS Models," Journal of Classification 11, 155-170.
7. CHATURVEDI, A., GREEN, P.E., and CARROLL, J.D. (2001), "K-modes Clustering," Journal of Classification 18, 35-56.
8. DESARBO, W.S. (1982), "GENNCLUS: New Models for General Nonhierarchical Cluster Analysis", Psychometrika 47, 449-475.
9. KASS, R.E., and RAFTERY, A.E. (1995), "Bayes Factors," Journal of the American Statistical Association 90(430), 773-795.
10. LAWSON, C.L., and HANSON, R.J. (1974), Solving Least Squares Problems, Englewood Cliffs, NJ: Prentice-Hall.
11. LEE, M.D. (1999a), "An Extraction and Regularization Approach to Additive Clustering," Journal of Classification 16(2), 255-281.
12. LEE, M.D. (1999b), "On the Complexity of Multidimensional Scaling, Additive Tree, and Additive Clustering Representations," Paper presented at the Symposium on Model Complexity held at the 32nd Annual Meeting of the Society for Mathematical Psychology, Santa Cruz, CA, July/August 1999.
13. LEE, M.D. (2001a), "Determining the Dimensionality of Multidimensional Scaling Representations for Cognitive Modeling," Journal of Mathematical Psychology 45(1), 149-166.
14. LEE, M.D. (2001b), "On the Complexity of Additive Clustering Models," Journal of Mathematical Psychology 45(1), 131-148.
15. LEE, M.D. (submitted). "Avoiding the Dangers of Averaging Across Subjects when using Multidimensional Scaling," Manuscript submitted for publication.
16. LEE, M.D. (in press), "A Simple Method for Generating Additive Clustering Models with Limited Complexity," Machine Learning.
17. MIRKIN, B.G. (1987), "Additive Clustering and Qualitative Factor Analysis Methods for Similarity Matrices," Journal of Classification 4, 7-31.
18. MIRKIN, B.G. (1996), Mathematical Classification and Clustering, Boston, MA: Kluwer.
19. MYUNG, I.J., and PITT, M.A. (1997), "Applying Occam's Razor in Modeling Cognition: A Bayesian Approach," Psychonomic Bulletin & Review 4(1), 79-95.
20. RISSANEN, J.J. (1996), "Fisher Information and Stochastic Complexity," IEEE Transactions on Information Theory 42(1), 40-47.
21. ROSENBERG, S., and KIM, M.P. (1975), "The Method of Sorting as a Data-generating Procedure in Multivariate Research," Multivariate Behavioral Research 10, 489-502.
22. SCHWARZ, G. (1978), "Estimating the Dimension of a Model," Annals of Statistics 6(2), 461-464.
23. SHEPARD, R.N. (1974), "Representation of Structure in Similarity Data: Problems and Prospects," Psychometrika 39(4), 373-422.
24. SHEPARD, R.N., and ARABIE, P. (1979), "Additive Clustering Representations of Similarities as Combinations of Discrete Overlapping Properties," Psychological Review 86(2), 87-123.
25. TENENBAUM, J.B. (1996), "Learning the Structure of Similarity," In Advances in Neural Information Processing Systems, Volume 8, Eds., D. S. Touretzky, M. C. Mozer, and M. E. Hasselmo, Cambridge, MA: MIT Press, 3-9.