Numerical taxonomy and the principle of maximum entropy

Journal of Classification

Volumn 13, Issue 2, 1996, Pages 213-229

  Gyllenberg, Mats ^a   Koski, Timo ^b  

^a UNIVERSITY OF TURKU   (Finland)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Bhattacharyya coefficient; Clustering and identification of binary vectors; Hamming distance; Hellinger distance; Hypothetical mean organism; Maximal predictive classification; Mixture of multivariate bernoulli distributions; Polythetic and monothetic class

Indexed keywords

EID: 0040155400     PISSN: 01764268     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01246099     Document Type: Article

References (38)

1. ARIMOTO, S. (1971), "Information-Theoretical Considerations on Estimation Problems," Information and Control, 19, 181-194.
2. AUSTIN, B., and PRIEST, F. (1986), Modern Bacterial Taxonomy, London: Van Nostrand Reinhold.
3. BASCOMB, S., LAPAGE, S. P., CURTIS, M. A., and WILLCOX, W. R. (1973), "Identification of Bacteria by Computer: Identification of Reference Strains," Journal of General Microbiology, 77, 291-315.
4. BOEKEE, D. E., and RUITENBEEK, J. C. (1981), "A Class of Lower Bounds on the Bayesian Probability of Error," Information Sciences, 25, 21-35.
5. BOULTON, D. M., and WALLACE, C. S. (1969), "The Information Content of a Multistate Distribution," Journal of Theoretical Biology, 23, 269-278.
6. CELEUX, G., and GOVAERT, G. (1991), "Clustering Criteria for Discrete Data and Latent Class Models," Journal of Classification, 8, 157-176.
7. COVER, T. M., and THOMAS, J. A. (1991), Elements of Information Theory, New York: Wiley.
8. DUDA, R. O., and HART, P. E. (1973), Pattern Classification and Scene Analysis, New York: Wiley.
9. DYBOWSKI, W., and FRANKLIN, D. A. (1968), "Conditional Probability and the Identification of Bacteria," Journal of General Microbiology, 54, 215-229.
10. ESTABROOK, G. F. (1967),"An Information Theory Model for Character Analysis," Taxon, 16, 86-96.
11. GILMOUR, J. S. L. (1937), "A Taxonomic Problem," Nature, 134, 1040-1042.
12. GOWER, J. C. (1973), "Classification Problems," Bulletin of the International Statistical Institute, 45, 471-477.
13. GOWER, J. C. (1974), "Maximal Predictive Classification," Biometrics, 30, 643-654.
14. GOWER, J. C. (1975), "Relating Classification to Identification, « in Biological Identification with Computers, Systematics Association Special Volume No. 7, Ed., R.J. Pankhurst, London: Academic Press, pp. 251-263.
15. GYLLENBERG, H. G. (1963), "A General Method for Deriving Determination Schemes for Random Collections of Microbial Isolates," Annales Academiae Scientarum Fennicae, Series A. IV. Biologica, 69, 1-23.
16. GYLLENBERG, H. G. and NIEMELA, T. K. (1975), "Basic Principles in Computer-Assisted Identification of Microorganisms," in New Approaches to the Identification of Microorganisms, Eds., C-G. Héden and T. Illéni, New York: Wiley, pp. 201-223.
17. GYLLENBERG, H. G. (1976), "Development of Reference Systems for Automatic Identification of Clinical Isolates of Bacteria,"Archivum Immunologiae et Therapiae Experimentalis, 24, 1-19.
18. GYLLENBERG, H. G. (1981), "Continuous Cumulation of Identification Matrices," Helsingin Yliopiston Mikrobiologian Laitoksen Julkaisuja, 20, 1-45.
19. GYLLENBERG, M., GYLLENBERG, H. G., KOSKI, T., and SCHINDLER, J. (1993), "Nonuniqueness of Numerical Taxonomic Structures," Binary, 5, 138-144.
20. GYLLENBERG, M., KOSKI, T., REILINK, E., and VERLAAN, M. (1994), "Nonuniqueness in Probabilistic Identification of Bacteria," Journal of Applied Probability, 31, 542-548.
21. HAND, D. J. (1981), Discrimination and Classification, Chichester: Wiley.
22. JACOBS, K. (1992), Discrete Stochastics, Basel: Birkhäuser.
23. JAYNES, E. T. (1982), "On the Rationale of Maximum-Entropy Methods," Proceedings of IEEE, 70, 939-952.
24. JAYNES, E. T. (1989), Papers on Probability, Statistics and Statistical Physics, New York: Kluwer.
25. KAPUR, J. N., and KESAVAN, H. K. (1992), Entropy Optimization Principles with Applications, San Diego: Academic Press.
26. LAPAGE, S. P., BASCOMB, S., WILLCOX, W. R., and CURTIS, M. A. (1970), "Computer Identification of Bacteria," in Automation, Mechanization and Data Handling in Microbiology, Eds., A. Baillie and R.J. Baillie, New York: Academic Press, pp. 1-22.
27. LAPAGE, S. P., BASCOMB, S., WILLCOX, W. R., and CURTIS, M.A (1973), "Identification of Bacteria by Computer: General Aspects and Perspectives," Journal of General Microbiology, 77, 273-290.
28. PANKHURST, R. J. (1991), Practical Taxonomic Computing, Cambridge: Cambridge University Press.
29. RESCICGNO, A., and MACCACARO, G. A. (1960), "The Information Content of Biological Classifications," in Information theory, Ed., C. Cherry, London: Butterworths, pp. 437-446.
30. SHANNON, C. E. (1948), "A Mathematical Theory of Communication," Bell System Technical Journal. 27, 379-423, 623-656.
31. SIBSON, R. (1969), "Information Radius," Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, 14, 149-160.
32. SNEATH, P. H. A. (1957a), "Some Thoughts on Bacterial Classification," Journal of General Microbiology, 17, 201-226.
33. SNEATH, P. H. A. (1957b), "The Application of Computers to Taxonomy," Journal of General Microbiology, 17, 261-268.
34. SNEATH, P. H. A. (1979), "BASIC Program for Determining the Best Identification Scores Possible From the Most Typical Examples when Compared with an Identification Matrix of Percent Positive Characteristics," Computers and Geoscience, 6, 27-34.
35. SNEATH, P. H. A., and SOKAL, R. R. (1973), Numerical Taxonomy, (2nd ed.), London: Freeman.
36. SUTCLIFFE, J. P. (1993), "Concept, Class, and Category in the Tradition of Aristotle," in Categories and Concepts: Theoretical Views and Inductive Data Analysis, Eds., I.V. Mechlen, J. Hampton, R.S. Michalski and P. Theuns, London: Academic Press, pp. 35-65.
37. WALLACE, C. S., and BOULTON, D. M. (1968), "Information Measure for Classification," Computer Journal, 11, 185-194.
38. WILLCOX, W. R., LAPAGE, S. P., and HOLMES, B. (1980), "A Review of Numerical Methods in Bacterial Identification," Antonie van Leeuwenhoek, 46, 233-299.