The identification of many-dimensional relations
| Autor: | W. Ross Ashby, R. F. Madden |
|---|---|
| Rok vydání: | 1972 |
| Předmět: |
Theoretical computer science
Variables Relation (database) media_common.quotation_subject Uncorrelated Computer Science Applications Theoretical Computer Science Identification (information) Control and Systems Engineering If and only if Calculus Snob Representation (mathematics) Practical implications Mathematics media_common |
| Zdroj: | International Journal of Systems Science. 3:343-356 |
| ISSN: | 1464-5319 0020-7721 |
| DOI: | 10.1080/00207727208920273 |
| Popis: | Any system, no matter how general or complex, can be described by a relationship amongst nominal variables. In this paper we investigate the problem of identifying snob a relationship, and the properties of the system corresponding to it, when the data descriptive of the system have been gathered from diverse and uncorrelated sources. We represent this problem theoretically as one of reconstructing and identifying an n-dimensional relation from its projections, and discuss the practical implications of this representation. We show that such reconstruction and identification is possible only if certain basic features of the corresponding system are constrained in ft very definite manner. For example, if the relation is to be identifiable, i.e. if the sot of relevant variables is to be ’ perfectly constrained ’, then the system must contain no more than a certain number of functionally determined variables, and no more than a certain number of independent variables. Furthermore, as the number of variables b... |
| Databáze: | OpenAIRE |
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