K. Nagasaka et al., ADAPTIVE LEARNING NETWORKS OF MULTISTAGE FUZZY PRODUCTION RULES IN EXPERT-SYSTEM OF GRINDING CHARACTERISTICS, Computers & industrial engineering, 27(1-4), 1994, pp. 433-436
The cross validation technique offers a criterion to measure the degre
e of approximation of a mathematical model. The advantage of the leavi
ng-one-out error estimation and the k-fold cross validation is that al
most all the available samples are used for training whereas all the s
amples are used for testing. But because these techniques are computat
ionally expensive, it has often been reserved for problems with small
sample size. This paper discusses the validity of Akaike's AIC for sel
ecting the number of layers in an adaptive learning network of GMDH ty
pe whose partial descriptions are represented by Gaussian functions. I
n numerical examples, several computer simulations of learning and com
parisons of AIC with cross validation procedure are shown. The expert
system for identification of grinding characteristics is discussed.