Numerical taxonomy and the principle of maximum entropy

被引:8
作者
Gyllenberg, M [1 ]
Koski, T [1 ]
机构
[1] ROYAL INST TECHNOL, DEPT MATH, S-10044 STOCKHOLM, SWEDEN
关键词
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 classes;
D O I
10.1007/BF01246099
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The standard procedure in numerical classification and identification of micro-organisms bared on binary features is given a justification based on the principle of maximum entropy. This principle also strongly supports the assumption that all characteristics upon which the classification is based are equally important and the use of polythetic taxa. The relevance of the principle of maximum entropy in connection with taxonomic structures based on clustering and maximal predictivity is discussed. A result on asymptotic separateness of maximum entropy distributions has implications for minimizing identification errors.
引用
收藏
页码:213 / 229
页数:17
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