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Category Theory Applied to Neural Modeling and Graphical Representations (2000)  (Make Corrections)  (1 citation)
Minor revision of Paper NN0648 in IJCNN 2000 at Como, Italy Michael J. Healy...



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Abstract: Category theory can be applied to mathematically model the semantics of cognitive neural systems. Here, we employ colimits, functors and natural transformations to model the implementation of concept hierarchies in neural networks equipped with multiple sensors. 1 Introduction In this paper, we describe a mathematical scheme for the analysis and design of cognitive neural network architectures based upon functors and natural transformations, the structural mappings of category theory. In a... (Update)

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Healy, M., Category Theory Applied to Neural Modeling and Graphical Representations, in Proceedings of the International Joint Conference on Neural Networks (IJCNN http://citeseer.ist.psu.edu/healy00category.html   More

@misc{ healy-category,
  author = "M. Healy",
  title = "Category Theory Applied to Neural Modeling and Graphical Representations",
  text = "Healy, M., Category Theory Applied to Neural Modeling and Graphical Representations,
    in Proceedings of the International Joint Conference on Neural Networks
    (IJCNN",
  url = "citeseer.ist.psu.edu/healy00category.html" }
Citations (may not include all citations):
234   Institutions: Abstract model theory for specification and pr.. (context) - Goguen, Burstall - 1992
84   Basic Category Theory for Computer Scientists (context) - Pierce - 1994
16   Time-locked multiregional retroactivation: A systems-level p.. (context) - Damasio - 1989
1   Colimits in memory: category theory and neural systems (context) - Healy - 1999

Documents on the same site (http://cialab.ee.washington.edu/pubs.htm):
Inversion of Feedforward Neural Networks.. - Jensen, Reed, II, .. (1999)   (Correct)

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