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2021 | OriginalPaper | Chapter

New Modes of Inference for Probabilistic SHM

Authors : Lawrence A. Bull, Paul Gardner, Timothy J. Rogers, Elizabeth J. Cross, Nikolaos Dervilis, Keith Worden

Published in: European Workshop on Structural Health Monitoring

Publisher: Springer International Publishing

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Abstract

In data-driven SHM, the signals recorded from systems in operation can be noisy and incomplete. Data corresponding to each of the operational, environmental, and damage states are rarely available a priori; furthermore, labelling to describe what each the measured signals represent is often unavailable. In consequence, the algorithms used to implement SHM should be robust and adaptive, while accommodating for missing information in the training-data – such that new information can be included if it becomes available. By collecting three novel techniques for statistical learning (originally proposed in previous work) – including semi-supervised, active, and transfer learning – it is argued that probabilistic algorithms offer a natural solution to model the signals recorded from systems in practice.

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Footnotes
1
If indirectly, diagnostic labels can be inferred through post-processing of the pattern recognition outputs \(y_i\).
 
2
Discrete classification is presented in this work, although, SHM is regularly informed by regression models – i.e. \(y_i\) is continuous. This is application specific, and most of the motivational arguments remain the same.
 
3
Note, the cluster assumption does not necessarily imply that each class is represented by a single, compact cluster; instead, the implication is that observations from different classes are unlikely to appear in the same cluster [9].
 
Literature
1.
go back to reference Aldous, D.J.: Exchangeability and related topics. In: École d’Été de Probabilités de Saint-Flour XIII—1983, pp. 1–198. Springer (1985) Aldous, D.J.: Exchangeability and related topics. In: École d’Été de Probabilités de Saint-Flour XIII—1983, pp. 1–198. Springer (1985)
2.
go back to reference Barber, D.: Bayesian Reasoning and Machine Learning. Cambridge University Press (2012) Barber, D.: Bayesian Reasoning and Machine Learning. Cambridge University Press (2012)
3.
go back to reference Bull, L.A., Manson, G., Worden, K., Dervilis, N.: Active learning approaches to structural health monitoring. In: Dervilis, N. (ed.) Special Topics in Structural Dynamics, Vol. 5, pp. 157–159. Springer (2019) Bull, L.A., Manson, G., Worden, K., Dervilis, N.: Active learning approaches to structural health monitoring. In: Dervilis, N. (ed.) Special Topics in Structural Dynamics, Vol. 5, pp. 157–159. Springer (2019)
4.
go back to reference Bull, L.A., Rogers, T.J., Wickramarachchi, C., Cross, E.J., Worden, K., Dervilis, N.: Probabilistic active learning: an online framework for structural health monitoring. Mech. Syst. Sig. Process. 134, 106294 (2019)CrossRef Bull, L.A., Rogers, T.J., Wickramarachchi, C., Cross, E.J., Worden, K., Dervilis, N.: Probabilistic active learning: an online framework for structural health monitoring. Mech. Syst. Sig. Process. 134, 106294 (2019)CrossRef
5.
go back to reference Bull, L.A., Worden, K., Dervilis, N.: Damage classification using labelled and unlabelled measurements. In: Structural Health Monitoring 2019 (2019) Bull, L.A., Worden, K., Dervilis, N.: Damage classification using labelled and unlabelled measurements. In: Structural Health Monitoring 2019 (2019)
6.
go back to reference Bull, L.A., Worden, K., Dervilis, N.: Towards semi-supervised and probabilistic classification in structural health monitoring. Mech. Syst. Sig. Process. 140, 106653 (2020)CrossRef Bull, L.A., Worden, K., Dervilis, N.: Towards semi-supervised and probabilistic classification in structural health monitoring. Mech. Syst. Sig. Process. 140, 106653 (2020)CrossRef
7.
go back to reference Bull, L.A., Worden, K., Manson, G., Dervilis, N.: Active learning for semi-supervised structural health monitoring. J. Sound Vib. 437, 373–388 (2018)CrossRef Bull, L.A., Worden, K., Manson, G., Dervilis, N.: Active learning for semi-supervised structural health monitoring. J. Sound Vib. 437, 373–388 (2018)CrossRef
8.
go back to reference Bull, L.A., Worden, K., Rogers, T., Cross, E., Dervilis, N.: Investigating engineering data by probabilistic measures. In: Special Topics in Structural Dynamics & Experimental Techniques, vol. 5, pp. 77–81. Springer (2020) Bull, L.A., Worden, K., Rogers, T., Cross, E., Dervilis, N.: Investigating engineering data by probabilistic measures. In: Special Topics in Structural Dynamics & Experimental Techniques, vol. 5, pp. 77–81. Springer (2020)
9.
go back to reference Chapelle, O., Scholkopf, B., Zien, A.: Semi-Supervised Learning. MIT press (2006) Chapelle, O., Scholkopf, B., Zien, A.: Semi-Supervised Learning. MIT press (2006)
10.
go back to reference Cozman, F.G., Cohen, I., Cirelo, M.C.: Semi-supervised learning of mixture models. In: Proceedings of the 20th International Conference on Machine Learning, ICML-03, pp. 99–106 (2003) Cozman, F.G., Cohen, I., Cirelo, M.C.: Semi-supervised learning of mixture models. In: Proceedings of the 20th International Conference on Machine Learning, ICML-03, pp. 99–106 (2003)
12.
go back to reference Farrar, C.R., Worden, K.: Structural Health Monitoring: A Machine Learning Perspective. Wiley (2012) Farrar, C.R., Worden, K.: Structural Health Monitoring: A Machine Learning Perspective. Wiley (2012)
13.
go back to reference Gardner, P., Liu, X., Worden, K.: On the application of domain adaptation in structural health monitoring. Mech. Syst. Sig. Process. 138, 106550 (2020)CrossRef Gardner, P., Liu, X., Worden, K.: On the application of domain adaptation in structural health monitoring. Mech. Syst. Sig. Process. 138, 106550 (2020)CrossRef
14.
go back to reference Gönen, M., Margolin, A.: Kernelized Bayesian transfer learning. In: 28th AAAI Conference on Artificial Intelligence (2014) Gönen, M., Margolin, A.: Kernelized Bayesian transfer learning. In: 28th AAAI Conference on Artificial Intelligence (2014)
15.
go back to reference Kremer, J., Steenstrup, K.P., Igel, C.: Active learning with support vector machines. Wiley Interdisc. Rev. Data Min. Knowl. Discov. 4(4), 313–326 (2014)CrossRef Kremer, J., Steenstrup, K.P., Igel, C.: Active learning with support vector machines. Wiley Interdisc. Rev. Data Min. Knowl. Discov. 4(4), 313–326 (2014)CrossRef
16.
go back to reference MacKay, D.J.: Information Theory, Inference and Learning Algorithms. Cambridge University Press (2003) MacKay, D.J.: Information Theory, Inference and Learning Algorithms. Cambridge University Press (2003)
17.
go back to reference McCallumzy, A.K., Nigamy, K.: Employing EM and pool-based active learning for text classification. In: Proceedings of the International Conference on Machine Learning (ICML), pp. 359–367. Citeseer (1998) McCallumzy, A.K., Nigamy, K.: Employing EM and pool-based active learning for text classification. In: Proceedings of the International Conference on Machine Learning (ICML), pp. 359–367. Citeseer (1998)
18.
go back to reference Murphy, K.P.: Machine Learning: A Probabilistic Perspective. MIT Press (2012) Murphy, K.P.: Machine Learning: A Probabilistic Perspective. MIT Press (2012)
19.
go back to reference Neal, R.M.: Markov chain sampling methods for Dirichlet process mixture models. J. Comput. Graph. Stat. 9(2), 249–265 (2000)MathSciNet Neal, R.M.: Markov chain sampling methods for Dirichlet process mixture models. J. Comput. Graph. Stat. 9(2), 249–265 (2000)MathSciNet
20.
go back to reference Nigam, K., McCallum, A., Thrun, S., Mitchell, T., et al.: Learning to classify text from labeled and unlabeled documents, p. 792. AAAI/IAAI (1998) Nigam, K., McCallum, A., Thrun, S., Mitchell, T., et al.: Learning to classify text from labeled and unlabeled documents, p. 792. AAAI/IAAI (1998)
21.
go back to reference Pan, S.J., Yang, Q.: A survey on transfer learning. IEEE Trans. Knowl. Data Eng. 22(10), 1345–1359 (2009)CrossRef Pan, S.J., Yang, Q.: A survey on transfer learning. IEEE Trans. Knowl. Data Eng. 22(10), 1345–1359 (2009)CrossRef
22.
go back to reference Papoulis, A.: Probabilities, Random Variables, and Stochastic Processes. McGraw-Hill (2001) Papoulis, A.: Probabilities, Random Variables, and Stochastic Processes. McGraw-Hill (2001)
23.
go back to reference Rasmussen, C.E.: The infinite Gaussian mixture model. In: Advances in Neural Information Processing Systems, pp. 554–560 (2000) Rasmussen, C.E.: The infinite Gaussian mixture model. In: Advances in Neural Information Processing Systems, pp. 554–560 (2000)
24.
go back to reference Rippengill, S., Worden, K., Holford, K.M., Pullin, R.: Automatic classification of acoustic emission patterns. Strain 39, 31–41 (2003)CrossRef Rippengill, S., Worden, K., Holford, K.M., Pullin, R.: Automatic classification of acoustic emission patterns. Strain 39, 31–41 (2003)CrossRef
25.
go back to reference Rogers, T.J., Worden, K., Fuentes, R., Dervilis, N., Tygesen, U.T., Cross, E.J.: A Bayesian non-parametric clustering approach for semi-supervised structural health monitoring. Mech. Syst. Sig. Process. 119, 100–119 (2019)CrossRef Rogers, T.J., Worden, K., Fuentes, R., Dervilis, N., Tygesen, U.T., Cross, E.J.: A Bayesian non-parametric clustering approach for semi-supervised structural health monitoring. Mech. Syst. Sig. Process. 119, 100–119 (2019)CrossRef
26.
go back to reference Schwenker, F., Trentin, E.: Pattern classification and clustering: a review of partially supervised learning approaches. Pattern Recogn. Lett. 37(1), 4–14 (2014)CrossRef Schwenker, F., Trentin, E.: Pattern classification and clustering: a review of partially supervised learning approaches. Pattern Recogn. Lett. 37(1), 4–14 (2014)CrossRef
27.
go back to reference Settles, B.: Active Learning. Synthesis Lectures on Artificial Intelligence and Machine Learning, chap. 6.1, pp. 1–114 (2012) Settles, B.: Active Learning. Synthesis Lectures on Artificial Intelligence and Machine Learning, chap. 6.1, pp. 1–114 (2012)
28.
go back to reference Vlachos, A., Korhonen, A., Ghahramani, Z.: Unsupervised and constrained Dirichlet process mixture models for verb clustering. In: Proceedings of the Workshop on Geometrical Models of Natural Language Semantics, pp. 74–82. Association for Computational Linguistics (2009) Vlachos, A., Korhonen, A., Ghahramani, Z.: Unsupervised and constrained Dirichlet process mixture models for verb clustering. In: Proceedings of the Workshop on Geometrical Models of Natural Language Semantics, pp. 74–82. Association for Computational Linguistics (2009)
29.
go back to reference Wang, M., Min, F., Zhang, Z.H., Wu, Y.X.: Active learning through density clustering. Exp. Syst. Appl. 85, 305–317 (2017)CrossRef Wang, M., Min, F., Zhang, Z.H., Wu, Y.X.: Active learning through density clustering. Exp. Syst. Appl. 85, 305–317 (2017)CrossRef
30.
go back to reference Worden, K., Manson, G.: The application of machine learning to structural health monitoring. Phil. Trans. R. Soc. A Math. Phys. Eng. Sci. 365(1851), 515–537 (2006)CrossRef Worden, K., Manson, G.: The application of machine learning to structural health monitoring. Phil. Trans. R. Soc. A Math. Phys. Eng. Sci. 365(1851), 515–537 (2006)CrossRef
31.
go back to reference Zhang, Y., Yang, Q.: An overview of multi-task learning. National Sci. Rev. 5(1), 30–43 (2018)CrossRef Zhang, Y., Yang, Q.: An overview of multi-task learning. National Sci. Rev. 5(1), 30–43 (2018)CrossRef
32.
go back to reference Zhu, X.J.: Semi-supervised Learning Literature Survey. University of Wisconsin-Madison Department of Computer Sciences, Technical report (2005) Zhu, X.J.: Semi-supervised Learning Literature Survey. University of Wisconsin-Madison Department of Computer Sciences, Technical report (2005)
Metadata
Title
New Modes of Inference for Probabilistic SHM
Authors
Lawrence A. Bull
Paul Gardner
Timothy J. Rogers
Elizabeth J. Cross
Nikolaos Dervilis
Keith Worden
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-64908-1_39