Temperature Robust PCA Based Stress Monitoring Approach

Temperature Robust PCA Based Stress Monitoring Approach

In this paper, a guided wave temperature robust PCA-based stress monitoring methodology is proposed. It is based on the analysis of the longitudinal guided wave propagating along the path under stress. Slight changes in the wave are detected by means of PCA via statistical T 2 and Q indices. Experimental and numerical simulations of the guided wave propagating in material under different temper...

Biological Nitrogen Removal Process Monitoring Based on Fuzzy Robust PCA

In this study the Fuzzy Robust Principal Component Analysis (FRPCA) method is used to monitor a biological nitrogen removal process, performances of this method are then compared with classical principal component analysis. The obtained results demonstrate the performances superiority of this robust extension compared with the conventional one. In this method fuzzy variant of PCA uses fuzzy mem...

Bio-reactor monitoring with multiway-PCA and Model Based-PCA

A Robust Pca Modeling Method for Process Monitoring

A robust method for dealing with the gross errors in the data collected for PCA model is proposed. This method, using M-estimator based on the generalized t distribution, adaptively transforms the data in the score space in order to eliminate the effects of the outliers in the original data. The robust estimation of the covariance or correlation matrix is obtained by the proposed approach so th...

Thresholding based Efficient Outlier Robust PCA

We consider the problem of outlier robust PCA (OR-PCA) where the goal is to recover principal directions despite the presence of outlier data points. That is, given a data matrix M∗, where (1 − α) fraction of the points are noisy samples from a low-dimensional subspace while α fraction of the points can be arbitrary outliers, the goal is to recover the subspace accurately. Existing results for ...