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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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BibTeX entry: (Update)
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)
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