Abduction of Semantic Patterns

  • U. Grenander
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 5)


In the study of regular structures the mappings between them play a central role, just as is the case in algebra in general. One there-fore examines homomorphisms, isomorphisms, and deformations between regular structures in order to better understand the structures. Here we shall also investigate mappings, but from another point of view, namely that of learning the mapping from a finite experience.


Thought Experiment Semantic Category Versus Versus Versus Versus Regular Structure Versus Versus Versus Versus Versus 
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  1. 1.
    U. Grenander: Pattern Analysis, Lectures in Pattern Theory, Vol. II, Springer-Verlag, New York-Heidelberg-Berlin, 1978.MATHGoogle Scholar
  2. 2.
    L. Wittgenstein: Tractatus Logico-Philosophicus, Routledge & Kegan Paul, London, 1972.Google Scholar
  3. 3.
    U. Grenander: Pattern Synthesis, Lectures in Pattern Theory, Vol. I, Springer-Verlag, New York-Heidelberg-Berlin, 1976.MATHCrossRefGoogle Scholar
  4. 4.
    U. Grenander: On mathematical semantics: a pattern theoretic view. Reports in Pattern Analysis No. 71, Brown University, Providence, R. I.,1978.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • U. Grenander
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

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