Design of self-adaptive and equilibrium differential evolution optimized radial basis function neural network classifier for imputed database

• A medoid based imputation is newly developed.
• A novel self-adaptive and equilibrium DE algorithm is designed for optimizing RBFNs.
• SAEDE-RBFN is applied on Knn, mean, medoid based imputed database for classification.

The occurrence of missing values is not uncommon in real life databases like industrial, medical, and life science. The imputation of these values has been realized through the mean/mode of known values (for a quantitative/qualitative attribute) or nearest neighbors. Mean based imputation considerably underestimates the population variance and tends to weaken the attribute relationships. Similarly, the nearest neighbor approach uses only information of the nearest neighbors and leaving other observations aside. Hence to overcome the shortcomings of these methods, we have introduced a method known as medoid based imputation to impute missing values. Further, to achieve better performance, we have devised a novel classifier for imputed datasets, by using the self-adaptive control parameters of differential evolution (DE) with equilibrium of exploitation and exploration optimized radial basis function neural networks (RBFNs). By newly associating a weight parameter with target vector during mutation, we maintain equilibrium on the exploration and exploitation mechanism of DE. The self-adaptive equilibrium DE (SAEDE) is used to explore and exploit the suitable kernel parameters of RBFNs along with bias and then used for classifying unknown samples. The performance of the proposed classifier named as SAEDE-RBFN has been extensively evaluated on seven datasets retrieved from University of California, Irvine (UCI) and KEEL machine learning repositories after imputation by mean, nearest neighbor, and proposed method. The average performance of classifiers has been listed based on the imputation by K-nearest neighbor (Knn = 1, Knn = 3, Knn = 5, and Knn = 7), mean, and medoid, respectively. Outcome of the experimental study shows that the performance of SAEDE-RBFN on medoid based imputed dataset is relatively better than DE-RBFN.