Simultaneous Approach to Fuzzy Clustering, Principal Component and Multiple Regression Analysis

A Robust Fuzzy Clustering Approach and Its Application to Principal Component Analysis

A robust fuzzy clustering approach is proposed to simplify the task of principal component analysis (PCA) by reducing the data complexity of an image. This approach performs well on function curves and character images that not only have loops, sharp corners and intersections but also include data with noise and outliers. The proposed approach is composed of two phases: firstly, input data are ...

New monitoring method based principal component analysis and fuzzy clustering

This work concerns the principal component analysis applied to the supervision of quality parameters of the flour production line. Our contribution lies in the combined use of the principal component analysis technique and the clustering algorithms in the field of production system diagnosis. This approach allows detecting and locating the system defects, based on the drifts of the product qual...

Weighted Principal Component Analysis Based on Fuzzy Clustering

In this paper, we propose a weighted principal component analysis (WPCA) using the result of fuzzy clustering [4]. The principal component analysis (PCA) [1], [7] is one widely used and well-known data analysis method. However there is a problem, when the data does not have a structure that the PCA can capture we cannot obtain any satisfactory results. For the most part, this is due to the unif...

a segmented principal component analysis-regression approach to qsar study of peptides

A fuzzy approach to robust regression clustering

A new robust fuzzy regression clustering method is proposed. We estimate coefficients of a linear regression model in each unknown cluster. Our method aims to achieve robustness by trimming a fixed proportion of observations. Assignments to clusters are fuzzy: observations contribute to estimates in more than one single cluster. We describe general criteria for tuning the method. The proposed m...