Title :
Nonparametric Learning Without a Teacher Based on Mode Estimation
Author :
Mizoguchi, Riichiro ; Shimura, Masamichi
Author_Institution :
Faculty of Engineering Science, Osaka University
Abstract :
The present paper discusses a nonsupervised multicategory problem in terms of nonparametric learning. An algorithm for seeking modes of an unknown multidimensional probability density function (pdf) is considered by employing a hypercubic window function. The convergence proof of the algorithm is also presented. The discriminant function for multicategory problems is constructed by using the estimates of the modes of the multimodal pdf. An application of the mode estimation algorithm to nonparametric signal detection is described. The analytical result shows that our machine nearly converges to the optimal machine without supervision.
Keywords :
Hyper-cubic window function, mode estimation, multicategory problem, nonparametric algorithm, nonsupervised learning, pattern recognition.; Clustering algorithms; Convergence; Detection algorithms; Multidimensional systems; Pattern recognition; Probability density function; Signal detection; Hyper-cubic window function, mode estimation, multicategory problem, nonparametric algorithm, nonsupervised learning, pattern recognition.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1976.1674561