
Accession Number : ADA136506
Title : Aspects of Pattern Theory.
Descriptive Note : Final rept. 1 Oct 7730 Nov 81,
Corporate Author : BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
Personal Author(s) : Grenander,U ; McClure,D E
PDF Url : ADA136506
Report Date : 30 Nov 1981
Pagination or Media Count : 25
Abstract : The research in this project is motivated by pattern analysis, the study of regular structures in natural and manmade phenomena. Problems of inferring structural representations of observed patterns raise new problems of nonparametric statistical inference. The method of sieves has been developed as a general approach for adapting classical techniques of inference, such as maximum likelihood for estimation, to nonparametric settings. To develop the basic probabilistic models that form the foundation for statistical inference of patterns, characterization results have been obtained that prescribe the kinds of probability models generated by the regularity constraints of pattern theory. The mathematical questions have been studied both by analytical and computational methods. The computer experiments have led to the development of a substantial library of APL programs for mathematical experimentation. Numerous applications are described in the publications from the project. (Author)
Descriptors : *Statistical inference, *Patterns, *Structures, *Nonparametric statistics, *Computer programs, Libraries, Probability, Mathematical models, Maximum likelihood estimation, Least squares method, Stochastic processes, Manmade, Bibliographies, Abstracts
Subject Categories : Statistics and Probability
Computer Programming and Software
Distribution Statement : APPROVED FOR PUBLIC RELEASE