Title
Minimal model dimension/order determination algorithms for recurrent neural networks
Abstract
This paper focuses on the development of model dimension/order determination algorithms for determining minimal dimensions/orders of recurrent neural networks using only input-output measurements of unknown systems. We present two types of model dimension/order determination approaches. The first type is named all-in-one strategy that includes the minimum description length (MDL) principle and the eigensystem realization algorithm (ERA). This type is capable of identifying the model dimension/order and model parameters simultaneously. The other type is named divide-and-conquer strategy that includes the Lipschitz quotients and false nearest neighbors (FNN). This type usually requires additional parameter optimization algorithms to estimate the model parameters for closely emulating the dynamic behavior of unknown systems. The effectiveness of these four algorithms has been validated through nonlinear dynamic system identification examples. In addition, we provide performance comparisons and discussion on the characteristics of these four algorithms as method-selection guidelines.
Year
DOI
Venue
2009
10.1016/j.patrec.2008.05.007
Pattern Recognition Letters
Keywords
Field
DocType
recurrent neural networks,nonlinear dynamic system identification,minimal dimension,divide-and-conquer strategy,dynamic behavior,nonlinear system identification,all-in-one strategy,model parameter,order determination approach,model dimension/order determination,minimal model dimension,minimal realization,order determination algorithm,recurrent neural network,model dimension,unknown system,divide and conquer,nearest neighbor,input output,minimum description length
Eigensystem realization algorithm,Order dimension,Minimum description length,Recurrent neural network,Algorithm,Nonlinear system identification,Lipschitz continuity,System identification,Minimal realization,Mathematics
Journal
Volume
Issue
ISSN
30
9
Pattern Recognition Letters
Citations 
PageRank 
References 
0
0.34
5
Authors
4
Name
Order
Citations
PageRank
Jeen-shing Wang172953.58
Yu-liang Hsu216616.16
Hung-Yi Lin3398.74
Yen-ping Chen421915.27