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A Multilevel Genetic Algorithm for the Maximum Constraint Satisfaction Problem Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Lie Algebra-Valued Bidirectional Associative Memories

Author : Călin-Adrian Popa

Published in: Recent Advances in Soft Computing

Publisher: Springer International Publishing

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Abstract

In recent years, complex-, quaternion-, and Clifford-valued neural networks have been intensively studied. This paper introduces Lie algebra-valued bidirectional associative memories, an alternative generalization of the real-valued neural networks, for which the states, outputs, and thresholds are all from a Lie algebra. The definition of these networks is given, together with an expression for an energy function, that is indeed proven to be an energy function for the proposed network.

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Metadata
Title
Lie Algebra-Valued Bidirectional Associative Memories
Author
Călin-Adrian Popa
Copyright Year
2017
Book
Recent Advances in Soft Computing

Print ISBN: 978-3-319-58087-6

Electronic ISBN: 978-3-319-58088-3

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-58088-3_12

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