Considering precision of data in reduction of dimensionality and PCA

Neima Brauner, Mordechai Shacham

Research output: Contribution to journalArticlepeer-review

Abstract

Reduction of dimensionality of the data space in process data analysis is considered. A new stepwise collinearity diagnostic (SCD) procedure is presented, which employs indicators based on the estimated signal-to-noise ratio in the data in order to measure the collinearity between the variables. The SCD procedure selects a maximal subset of non-collinear variables and identifies the corresponding collinear subsets of variables. Using SCD, the dimension of the data space is reduced to the dimension of the maximal non-collinear subset. In process monitoring applications, the data associated with the surplus variables can be used for distinguishing between process and sensor failures. Two examples, which demonstrate the advantages of the proposed method over principal component analysis (PCA), are presented. (C) 2000 Elsevier Science Ltd.

Original languageEnglish
Pages (from-to)2603-2611
Number of pages9
JournalComputers and Chemical Engineering
Volume24
Issue number12
DOIs
StatePublished - 1 Dec 2000

Keywords

  • Collinearity
  • Principal component analysis
  • Process monitoring
  • Signal-to-noise ratio

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