Title
Periodicity and stability issues of a chaotic pattern recognition neural network
Abstract
Traditional pattern recognition (PR) systems work with the model that the object to be recognized is characterized by a set of features, which are treated as the inputs. In this paper, we propose a new model for PR, namely one that involves chaotic neural networks (CNNs). To achieve this, we enhance the basic model proposed by Adachi (Neural Netw 10:83–98, 1997), referred to as Adachi’s Neural Network (AdNN), which though dynamic, is not chaotic. We demonstrate that by decreasing the multiplicity of the eigenvalues of the AdNN’s control system, we can effectively drive the system into chaos. We prove this result here by eigenvalue computations and the evaluation of the Lyapunov exponent. With this premise, we then show that such a Modified AdNN (M-AdNN) has the desirable property that it recognizes various input patterns. The way that this PR is achieved is by the system essentially sympathetically “resonating” with a finite periodicity whenever these samples (or their reasonable resemblances) are presented. In this paper, we analyze the M-AdNN for its periodicity, stability and the length of the transient phase of the retrieval process. The M-AdNN has been tested for Adachi’s dataset and for a real-life PR problem involving numerals. We believe that this research also opens a host of new research avenues.
Year
DOI
Venue
2007
10.1007/s10044-007-0060-3
Pattern Anal. Appl.
Keywords
Field
DocType
basic model,chaotic pattern recognition neural,stability issue,neural network,finite periodicity,new model,lyapunov exponent,chaotic neural network,neural netw,modified adnn,real-life pr problem,new research avenue,eigenvalues,control system,pattern recognition
Transient response,Pattern recognition,Optical character recognition,Algorithm,Artificial intelligence,Control system,Artificial neural network,Chaotic,Mathematics,Eigenvalues and eigenvectors,Lyapunov exponent,Computation
Journal
Volume
Issue
ISSN
10
3
1433-755X
Citations 
PageRank 
References 
8
0.84
2
Authors
3
Name
Order
Citations
PageRank
Dragos Calitoiu1226.91
B. John Oommen21255222.20
Doron Nussbaum38913.49