Clustering in wavelet domain: A multiresolution ART network for anomaly detection

AIChE Journal

Volumn 50, Issue 10, 2004, Pages 2455-2466

  Aradhye, Hrishikesh B ^a   Bakshi, Bhavik R ^b   Davis, James F ^c   Ahalt, Stanley C ^b  

^a SRI INTERNATIONAL   (United States)

^b Ohio State University   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Adaptive resonance theory; Average run length; Fault detection; Process monitoring; Statistical process control; Wavelets

Indexed keywords

COMPUTER SIMULATION; EXTRACTION; MONTE CARLO METHODS; NONLINEAR SYSTEMS; PETROCHEMICAL PLANTS;

MULTIRESOLUTION ART NETWORK; PERFORMANCE ANALYSIS; PROJECTION-BASED METHODS; WAVELET COEFFICIENTS;

SIGNAL PROCESSING;

WAVE;

ADAPTIVE RESONANCE THEORY 2; ALGORITHM; ARTICLE; AUTOMATION; CLUSTER ANALYSIS; FAULT DETECTION; IMAGE RECONSTRUCTION; MONTE CARLO METHOD; NONLINEAR SYSTEM; OPTICAL RESOLUTION; PETROCHEMICAL INDUSTRY; PROBLEM SOLVING; PROCESS DESIGN; SIGNAL DETECTION; STATISTICAL ANALYSIS; WAVEFORM; YARROWIA;

EID: 3943101198     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.10245     Document Type: Article

References (29)

1. Aradhye, H. B., B. R. Bakshi, R. Strauss, and J. F. Davis, "Multiscale Statistical Process Control Using Wavelets-Theoretical Analysis and Properties," AIChE J., 49, 939 (2003).
2. Aradhye, H. B., J. F. Davis, B. R. Bakshi, and S. C. Ahalt, "Art-2 and Multi-scale Art-2 for On-Line Process Fault Detection-Validation via Industrial Case Studies and Monte Carlo Simulation," Annual Reviews in Control, 26, 113 (2002).
3. Bakshi, B. R., "Multiscale PCA with Application to Multivariate Statistical Process Monitoring," AIChE J., 44, 1596 (1998).
4. Bakshi, B. R., H. Aradhye, and R. Strauss. Process Monitoring by PCA. Dynamic PCA, and Multiscale PCA-Theoretical Analysis and Disturbance Detection in the Tennessee Eastman Process, AIChE Annual Meeting, Dallas, TX (1999).
5. Bakshi, B. R., and G. Stephanopoulos, "Representation of Process Trends-iv. Induction of Real-Time Patterns from Operating Data for Diagnosis and Supervisory Control," Comp. and Chem. Eng., 18, 303 (1994).
6. Carpenter, G. A., and S. Grossberg, "A Massively Parallel Architecture for a Self-Organizing Neural Pattern Recognition Machine," Comp. Vision, Graphics and Image Proc., 37, 54 (1987).
7. Carpenter, G. A., S. Grossberg, N. Markuzon, J. H. Reynolds, and D. B. Rosen, "Fuzzy ARTMAP: A Neural Network Architecture for Incremental Supervised Learning of Analog Multidimensional Maps," IEEE Transactions on Neural Networks, 3, 698 (1992).
8. Carpenter, G. A., S. Grossberg, and J. H. Reynolds, "ARTMAP: Supervised Real-Time Learning and Classification of Nonstationary Data by a Self-Organizing Neural Network," Neural Networks, 4, 565 (1991a).
9. Carpenter, G. A., S. Grossberg, and D. B. Rosen, "Fuzzy ART: An Adaptive Resonance Algorithm for Rapid, Stable Classification of Analog Patterns," Proc. of the Int. Joint Conf. on Neural Networks. Seattle, WA, Vol. 2 (1991b).
10. Carpenter, G. A., S. Grossberg, and D. B. Rosen, "Fuzzy ART: Fast, Stable Learning and Categorization of Analog Patterns by an Adaptive Resonance System," Neural Networks, 4, 759 (1991c).
11. Frank, T., K. Friedrich, and T. Kuhlen, "Comparative Analysis of Fuzzy ART and ART-2A Network Clustering Performance," IEEE Transactions on Neural Networks, 9, 544 (1998).
12. Kavuri, S. N., and V. Venkatasubramanian, "Representing Bounded Fault Classes Using Neural Networks with Ellipsoidal Activation Functions," Comp. and Chem. Eng., 17, 139 (1993).
13. Lim, C. P., and R. F. Harrison, "Modified Fuzzy ARTMAP Approaches Bayes Optimal Classification Rates: An Empirical Demonstration," Neural Networks, 10, 755 (1997).
14. Luo, R., M. Misra, S. J. Qin, R. Barton, and D. M. Himmelblau, "Sensor Fault Detection via Multiscale Analysis and Nonparametric Statistical Inference," Ind. Eng. and Chem. Res., 37, 1024 (1998).
15. Mallat, S. G., "A Theory for Multiresolution Signal Decomposition: The Wavelet Representation," IEEE Transactions and Pattern Analysis and Machine Intelligence. 11, 674 (1989).
16. Marriott, S., and R. F. Harrison, "A Modified Fuzzy ARTMAP Architecture for the Approximation of Noisy Mappings," Neural Networks, 8, 619 (1995).
17. Montgomery, D. C., Introduction to Statistical Quality Control. Wiley, New York (1996).
18. Nounou, M. N., and B. R. Bakshi, "Online Multiscale Filtering of Random and Gross Errors Without Process Models," AIChE J., 45, 1041 (1999).
19. Palavajjhala, S., R. Motard, and B. Joseph, "Process Identification Using Discrete Wavelet Transforms: Design of Prefilters," AIChE J., 42, 777 (1996).
20. Song, X., P. K. Hopke, M. Bruns, D. A. Bossio, and K. M. Scow, "A Fuzzy Adaptive Resonance Theory-Supervised Predictive Mapping Neural Network Applied to the Classification of Multivariate Chemical Data," Chemometrics and Intelligent Laboratory Systems, 41, 161 (1998).
21. Srinivasa, N., "Learning and Generalization of Noisy Mappings Using a Modified PROBART Neural Network," IEEE Transactions on Signal Processing, 45, 2533 (1997).
22. Strang, G., "Wavelets and Dilation Equations: A Brief Introduction," Soc. for Ind. and Appl. Mathematics, 31, 614 (1989).
23. Wang, X. Z., B. H. Chen, S. H. Yang, and C. McGreavy, "Application of Wavelets and Neural Networks to Diagnostic System Development. 2, an Integrated Framework and its Application," Comp. and Chem. Eng., 23, 945 (1999).
24. Whiteley, J. R., and J. F. Davis, "Knowledge-Based Interpretation of Sensor Patterns," Comp. and Chem. Eng., 16, 329 (1992).
25. Whiteley, J. R., J. F. Davis, A. Mehrotra, and S. C. Ahalt, "Observations and Problems Applying ART2 for Dynamic Sensor Pattern Interpretation," IEEE Transactions on Systems, Man and Cybernetics, Part A-Systems on Humans, 26, 423 (1996).
26. Wienke, D., and L. Buydens. "Adaptive Resonance Theory Based Neural Networks-The 'ART' of Real-Time Pattern Recognition in Chemical Process Monitoring?" Trends in Analytical Chemistry, 14, 398 (1995).
27. Wienke, D., and L. Buydens, "Adaptive Resonance Theory Based Neural Network for Supervised Chemical Pattern Recognition (fuzzy ART-MAP). part I: Theory and Network Properties," Chemometrics and Intelligent Laboratory Systems, 32, 151 (1996).
28. Wienke, D., W. den Broek, L. Buydens, T. Huth-Frehre, and R. Feldhoff, "Adaptive Resonance Theory Based Neural Network for Supervised Chemical Pattern Recognition (fuzzy ARTMAP). part 2: Classification of Post-Consumer Plastics by Remote NIR Spectroscopy Using an InGaAs Diode Array," Chemometrics and Intelligent Laboratory Systems, 32, 165 (1996).
29. Williamson, J. R., "Gaussian ARTMAP: A Neural Network for Fast Incremental Learning of Noisy Multidimensional Maps," Neural Networks, 9, 881 (1996).