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PCA와 Sammon Mapping 분석을 통한 센서 어레이 패턴들의 실시간 가시화 방법

Real-Time Visualization Techniques for Sensor Array Patterns Using PCA and Sammon Mapping Analysis

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초록

Sensor arrays based on chemical sensors produce multidimensional patterns of data that may be used discriminate betweendifferent chemicals. For the human observer, visualization of multidimensional data is difficult, since the eye and brain process visual information in two or three dimensions. To devise a simple means of data inspection from the response of sensor arrays, PCA (Principal Component Analysis) or Sammon’s nonlinear mapping technique can be applied. The PCA, which is a well-known statistical method and widely used in data analysis, has disadvantages including data distortion and the axes for plotting the dimensionally reduced data have no physical meaning in terms of how different one cluster is from another. In this paper, we have investigated two techniques and proposed a combination technique of PCA and nonlinear Sammom mapping for visualization of multidimensional patterns to two dimensions using data sets from odor sensing system. We conclude the combination technique has shown more advantages comparing with the PCA and Sammon nonlinear technique individually.

Abstract

Sensor arrays based on chemical sensors produce multidimensional patterns of data that may be used discriminate betweendifferent chemicals. For the human observer, visualization of multidimensional data is difficult, since the eye and brain process visual information in two or three dimensions. To devise a simple means of data inspection from the response of sensor arrays, PCA (Principal Component Analysis) or Sammon’s nonlinear mapping technique can be applied. The PCA, which is a well-known statistical method and widely used in data analysis, has disadvantages including data distortion and the axes for plotting the dimensionally reduced data have no physical meaning in terms of how different one cluster is from another. In this paper, we have investigated two techniques and proposed a combination technique of PCA and nonlinear Sammom mapping for visualization of multidimensional patterns to two dimensions using data sets from odor sensing system. We conclude the combination technique has shown more advantages comparing with the PCA and Sammon nonlinear technique individually.

참고문헌 (8)

  1. Sammon Jr. J. W., "A nonlinear mapping for data structure analysis", IEEE Trans. on computers, c-18(5), pp.401~409 (1969)
  2. H. G. Boaz Lerner, "On pattern classication with Sammon’s nonlinear mapping-An experimental study", Pattern Recognition, 31(4), pp.371~381 (1998)
  3. Sammon Jr. J. W., "Interactive pattern analysis and classification", IEEE Trans. on Computers, c-19(7), pp.594~616 (1970)
  4. D. H. Lee, "Development of Pattern Recognition and Data Analysis Methods for Multisensor Technology", pp.57~111 (1996), UMIST
  5. R. A. Johnson, "Applied Multivariate Statistical Analysis-3rd ed", pp.271~288 (1992), Prentice-Hall
  6. D. F. Rogers, "Mathematical Elements for Computer Graphics-2nd ed.", pp.61~100 (1990), McGraw-Hill

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