Laplace approximation in sparse Bayesian learning for structural damage detection
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Wang et al. extended SBL via Laplace approximation, in which a complicated integral in the evidence was approximated as a Gaussian PDF.
“Wang et al. [217] extended SBL via Laplace approximation, in which a complicated integral in the evidence was approximated as a Gaussian PDF.”
From Review on the new development of vibration-based damage identification for civil engineering structures: 2010–2019 (2021) · cites this paper as [217]
Cites
Pattern Recognition and Machine Learning
(2006) · doi:10.1007/978-0-387-45528-0 · Cited by 9,824 · see citing works
Los Alamos National Lab., N. (. S., Doebling, S., USDOE, W., Farrar, C., Prime, M., & Shevitz, D. (1996) · doi:10.2172/249299 · Cited by 2,899 · see citing works
Accurate Approximations for Posterior Moments and Marginal Densities
Tierney, L., & Kadane, J. B. (1986) · Journal of the American Statistical Association · doi:10.1080/01621459.1986.10478240 · Cited by 2,136 · see citing works
Detection of structural damage through changes in frequency: a review
Salawu, O. S. (1997) · Engineering Structures · doi:10.1016/s0141-0296(96)00149-6 · Cited by 2,080 · see citing works
Model Updating In Structural Dynamics: A Survey
Mottershead, J. E., & Friswell, M. I. (1993) · Journal of Sound and Vibration · doi:10.1006/jsvi.1993.1340 · Cited by 1,691 · see citing works
Vibration Based Condition Monitoring: A Review
Carden, E. P., & Fanning, P. (2004) · Structural Health Monitoring · doi:10.1177/1475921704047500 · Cited by 1,549 · see citing works
Simplified calculation of eigenvector derivatives
Nelson, R. B. (1976) · AIAA Journal · doi:10.2514/3.7211 · Cited by 910 · see citing works
Bayesian Compressive Sensing Using Laplace Priors
Babacan, S. D., Molina, R., & Katsaggelos, A. K. (2009) · IEEE Transactions on Image Processing · doi:10.1109/tip.2009.2032894 · Cited by 821 · see citing works
Book Review: Pattern Recognition and Machine Learning
Nasrabadi, N. M. (2007) · Journal of Electronic Imaging · doi:10.1117/1.2819119 · Cited by 636 · see citing works
Development in vibration-based structural damage detection technique
Yan, Y., Li, C., Wu, Z., & Yam, L. H. (2006) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2006.10.002 · Cited by 617 · see citing works
Bayesian system identification based on probability logic
Beck, J. L. (2010) · Structural Control and Health Monitoring · doi:10.1002/stc.424 · Cited by 605 · see citing works
The State of the Art of Data Science and Engineering in Structural Health Monitoring
Bao, Y., Chen, Z., Wei, S., Xu, Y., Tang, Z., & Li, H. (2019) · Engineering · doi:10.1016/j.eng.2018.11.027 · Cited by 484 · see citing works
Beal, M. J., & Ghahramani, Z. (2003) · Bayesian Statistics 7 · doi:10.1093/oso/9780198526155.003.0025 · Cited by 458 · see citing works
Rouder, J. N., & Lu, J. (2005) · Psychonomic Bulletin & Review · doi:10.3758/bf03196750 · Cited by 413 · see citing works
Long term vibration monitoring of an RC slab: Temperature and humidity effect
Xia, Y., Hao, H., Zanardo, G., & Deeks, A. (2006) · Engineering Structures · doi:10.1016/j.engstruct.2005.09.001 · Cited by 331 · see citing works
Self-citationHierarchical Bayesian model updating for structural identification
Behmanesh, I., Moaveni, B., Lombaert, G., & Papadimitriou, C. (2015) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2015.03.026 · Cited by 287 · see citing works
Yuen, K.-V., Beck, J. L., & Katafygiotis, L. S. (2006) · Structural Control and Health Monitoring · doi:10.1002/stc.144 · Cited by 208 · see citing works
Memoir on the Probability of the Causes of Events
Laplace, P. S. (1986) · Statistical Science · doi:10.1214/ss/1177013621 · Cited by 199 · see citing works
Lam, H., Yang, J., & Au, S. (2015) · Engineering Structures · doi:10.1016/j.engstruct.2015.08.005 · Cited by 179 · see citing works
Huang, Y., Beck, J. L., & Li, H. (2017) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2017.01.030 · Cited by 147 · see citing works
Long, Q., Scavino, M., Tempone, R. F., & Wang, S. (2013) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2013.02.017 · Cited by 129 · see citing works
Huang, Y., Beck, J. L., & Li, H. (2017) · Structural Safety · doi:10.1016/j.strusafe.2016.09.001 · Cited by 111 · see citing works
L <sub>1</sub> regularization approach to structural damage detection using frequency data
Zhou, X.-Q., Xia, Y., & Weng, S. (2015) · Structural Health Monitoring · doi:10.1177/1475921715604386 · Cited by 99 · see citing works
Self-citationProbabilistic hierarchical Bayesian framework for time-domain model updating and robust predictions
Sedehi, O., Papadimitriou, C., & Katafygiotis, L. S. (2018) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2018.09.041 · Cited by 90 · see citing works
HIERARCHICAL SPARSE BAYESIAN LEARNING FOR STRUCUTRAL HEALTH MONITORING WITH INCOMPLETE MODAL DATA
Huang, Y., & Beck, J. L. (2015) · International Journal for Uncertainty Quantification · doi:10.1615/int.j.uncertaintyquantification.2015011808 · Cited by 87 · see citing works
Markov chain Monte Carlo-based Bayesian method for structural model updating and damage detection
Lam, H., Yang, J., & Au, S. (2018) · Structural Control and Health Monitoring · doi:10.1002/stc.2140 · Cited by 86 · see citing works
Song, M., Moaveni, B., Papadimitriou, C., & Stavridis, A. (2019) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2018.12.049 · Cited by 63 · see citing works
Genetic algorithm based optimal sensor placement forL1-regularized damage detection
Hou, R., Xia, Y., Xia, Q., & Zhou, X. (2018) · Structural Control and Health Monitoring · doi:10.1002/stc.2274 · Cited by 59 · see citing works
Self-citationAn iterative substructuring approach to the calculation of eigensolution and eigensensitivity
Weng, S., Xia, Y., Xu, Y. L., & Zhu, H. (2011) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2011.02.001 · Cited by 56 · see citing works
Self-citationA new statistical moment-based structural damage detection method
Zhang, J., Xu, Y. L., Xia, Y., & Li, J. (2008) · STRUCTURAL ENGINEERING AND MECHANICS · doi:10.12989/sem.2008.30.4.445 · Cited by 49 · see citing works
Self-citationSparse Bayesian learning for structural damage detection using expectation–maximization technique
Hou, R., Xia, Y., Zhou, X., & Huang, Y. (2019) · Structural Control and Health Monitoring · doi:10.1002/stc.2343 · Cited by 49 · see citing works
Self-citationExperimental Investigation on Statistical Moment-based Structural Damage Detection Method
Xu, Y. L., Zhang, J., Li, J., & Xia, Y. (2009) · Structural Health Monitoring · doi:10.1177/1475921709341011 · Cited by 45 · see citing works
Self-citationSubstructuring approach to the calculation of higher-order eigensensitivity
Weng, S., Zhu, H., Xia, Y., Zhou, X., & Mao, L. (2012) · Computers & Structures · doi:10.1016/j.compstruc.2012.11.005 · Cited by 43 · see citing works
Self-citationUncertainty Quantification and the Verification and Validation of Computational Models
Hemez, F. (2005) · doi:10.1002/0470869097.ch9 · Cited by 27 · see citing works
Laplace Approximations in B ayesian Lifetime Analysis
Onar, A. (2014) · Wiley StatsRef: Statistics Reference Online · doi:10.1002/9781118445112.stat03867 · Cited by 2 · see citing works
Laplace Approximations in B ayesian Lifetime Analysis
Onar, A. (2007) · Encyclopedia of Statistics in Quality and Reliability · doi:10.1002/9780470061572.eqr457 · Cited by 1 · see citing works
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1 of the 39 references couldn’t be matched to a known paper.
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Hou, R., & Xia, Y. (2021) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2020.115741 · Cited by 674 · see citing works
Self-citationZar, A., Hussain, Z., Akbar, M., Rabczuk, T., Lin, Z., Li, S., & Ahmed, B. (2024) · International Journal of Mechanics and Materials in Design · doi:10.1007/s10999-023-09692-3 · Cited by 122 · see citing works
Ni, P., Han, Q., Du, X., & Cheng, X. (2021) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2021.108204 · Cited by 74 · see citing works
Wang, X., Hou, R., Xia, Y., & Zhou, X. (2020) · Structural Health Monitoring · doi:10.1177/1475921720921256 · Cited by 68 · see citing works
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Wang, X., & Xia, Y. (2022) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2022.108991 · Cited by 57 · see citing works
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Self-citationXie, D., Lu, Z.-R., Li, G., Liu, J., & Wang, L. (2022) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2022.110000 · Cited by 29 · see citing works
Vibration-based FRP debonding detection using a Q-learning evolutionary algorithm
Ding, Z., Li, L., Wang, X., Yu, T., & Xia, Y. (2022) · Engineering Structures · doi:10.1016/j.engstruct.2022.115254 · Cited by 24 · see citing works
Self-citationBayesian-based method for the simultaneous identification of structural damage and moving force
Chen, Z., Weng, S., Hong, Y., Li, J., Zhu, H., Yan, Y., & Wu, L. (2022) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2022.109742 · Cited by 22 · see citing works
Jia, X., & Papadimitriou, C. (2024) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2024.112197 · Cited by 21 · see citing works
Li, R., Zheng, S., Wang, F., Deng, Q., Li, X., Xiao, Y., & Song, X. (2023) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2023.110483 · Cited by 18 · see citing works
Structural damage detection with two-stage modal information and sparse Bayesian learning
Zou, Y., Yang, G., Lu, X., He, X., & Cai, C. (2023) · Structures · doi:10.1016/j.istruc.2023.105361 · Cited by 17 · see citing works
A fraction function regularization model for the structural damage identification
Li, R., Song, X., Wang, F., Deng, Q., Li, X., & Xiao, Y. (2023) · Advances in Structural Engineering · doi:10.1177/13694332221151017 · Cited by 11 · see citing works
Fast variational Bayesian inference for structural finite element model updating
Li, Q., Ni, P., Du, X., Han, Q., & Li, J. (2025) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2025.113602 · Cited by 9 · see citing works
Temperature-based anomaly diagnosis of truss structure using Markov chain-Monte Carlo method
Xu, J., Liu, M., Ma, Q., & Han, Q. (2022) · Journal of Civil Structural Health Monitoring · doi:10.1007/s13349-022-00572-6 · Cited by 6 · see citing works
Vibration-Based Structural Damage Detection Using Sparse Bayesian Learning Techniques
Hou, R., Wang, X., & Xia, Y. (2021) · Structural integrity · doi:10.1007/978-3-030-81716-9_1 · Cited by 6 · see citing works
Self-citationHu, Q., Zhang, B., & Chen, H. (2025) · Engineering Structures · doi:10.1016/j.engstruct.2025.120908 · Cited by 4 · see citing works
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Hu, Q., Yan, Q., Chen, H., & Guan, Y. (2024) · International Journal of Structural Stability and Dynamics · doi:10.1142/s0219455426500987 · Cited by 4 · see citing works
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Fang, S.-E., & Chen, S. (2021) · Structural Control and Health Monitoring · doi:10.1002/stc.2889 · Cited by 4 · see citing works
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Luo, L., Sun, L., Li, Y., & Xia, Y. (2025) · Reliability Engineering & System Safety · doi:10.1016/j.ress.2025.111831 · Cited by 3 · see citing works
Self-citationWang, S., Lai, Z., & Ying Lei, A. (2025) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2025.113500 · Cited by 3 · see citing works
A unified equivalent model of the l 0 minimization model for structural damage identification
Song, X., Ma, X., Li, R., Yi, W., Ma, L., Zheng, S., & Wang, K. (2025) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2025.113621 · Cited by 2 · see citing works
Efficient sampling-free Bayesian static model updating using uncertain measurement displacements
Xue, K., Huang, B., Chen, H., & Zeng, J. (2025) · Structures · doi:10.1016/j.istruc.2025.110296 · Cited by 1 · see citing works
ANN-based damage detection with two-stage approach and model reduction
Lu, X., Zou, Y., Cai, C., & He, X. (2024) · Structural Health Monitoring · doi:10.1177/14759217241273999 · Cited by 1 · see citing works
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Ma, X., & Au, S. (2023) · Probabilistic Engineering Mechanics · doi:10.1016/j.probengmech.2023.103542
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Guerrero, L. F., Aguado, V., Duque, J., Ortíz, A. R., García, J. J., & Gómez, D. (2025) · Results in Engineering · doi:10.1016/j.rineng.2025.107951
Laha, S. K., Swarnakar, B., & Kansabanik, S. K. (2025) · SSRN Electronic Journal · doi:10.2139/ssrn.5347930
Li, R., Liu, Z., Song, X., Wang, Y., Yang, F., Zheng, S., & Xiao, Y. (2026) · Measurement Science and Technology · doi:10.1088/1361-6501/ae41da
Hou, R., Che, L., Hou, J., Bao, Y., & Xia, Y. (2026) · Structural Control and Health Monitoring · doi:10.1155/stc/1855588
Self-citationZhang, B., Hu, Q., Liu, Z., & Guan, Y. (2026) · Structural Health Monitoring · doi:10.1177/14759217261478593
Liu, D., Li, C., Bao, Y., Dong, Y., & Liu, X. (2026) · Structural Health Monitoring · doi:10.1177/14759217261484557
- Authors
- Wang, X., Hou, R., Xia, Y., & Zhou, X.
- Affiliations
- Hong Kong Polytechnic University (HK)
- Shenzhen University (CN)
- Corresponding author
- Zhou, Xiaoqing
- Venue
- Mechanical Systems and Signal Processing
- Publisher
- Elsevier BV
- Published
- 2020-06
- Volume
- 140
- Pages
- 106701
- ISSN
- 0888-3270 (ISSN-L)
- OpenAlex
- W3006254892
- Cited by
- 32
- References
- 39
- Citations by year
- 2026: 4 · 2025: 8 · 2024: 5 · 2023: 4 · 2022: 5 · 2021: 4 · 2020: 2
- FWCI
- 2.19
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Mechanical Systems and Signal Processing (publishedVersion)
- PolyU Institutional Research Archive (Hong Kong Polytechnic University) (submittedVersion, cc-by-nc-nd)
- Funders
- National Natural Science Foundation of China (51678364)
- Hong Kong Polytechnic University (1-ZVP2)
- Topics
- Physical Sciences › Engineering › Civil and Structural Engineering › Structural Health Monitoring Techniques
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Physical Sciences › Engineering › Civil and Structural Engineering › Bladed Disk Vibration Dynamics
- Keywords
- structural damage detection, sparse Bayesian learning, Laplace approximation, damage index, hyperparameter estimation, modal data, nonlinear inverse problems, frame structures, uncertainty quantification
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