Title :
Input selection for nonlinear regression models
Author :
R. Sindelar;R. Babuska
Author_Institution :
Fac. of Electr. Eng., Czech Tech. Univ., Prague, Czech Republic
Abstract :
A simple and effective method for the selection of significant inputs in nonlinear regression models is proposed. Given a set of input-output data and an initial superset of potential inputs, the relevant inputs are selected by checking whether after deleting a particular input, the data set is still consistent with the basic property of a function. In order to be able to handle real-valued and noisy data in a sensible manner, fuzzy clustering is first applied. The obtained clusters are compared by using a similarity measure in order to find inconsistencies within the data. Several examples using simulated and real-world data sets are presented to demonstrate the effectiveness of the algorithm.
Keywords :
"Principal component analysis","Nonlinear systems","Fuzzy systems","Clustering algorithms","System identification","Delay effects","Autocorrelation","Linear regression","Testing","Control engineering education"
Journal_Title :
IEEE Transactions on Fuzzy Systems
DOI :
10.1109/TFUZZ.2004.834810