Book Chapter
First
1
2026
Svitek, M., Winnewisser, N., Beer, M., Kosheleva, O., & Kreinovich, V. (2026). Why Shapley Value and Its Generalizations Are Effective in Economics and Finance, Machine Learning, and Systems Engineering. In Studies in Big Data (pp. 15-26). (Studies in Big Data; Vol. 181). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-032-06179-9_2
2025
Salomon, J., Broggi, M., & Beer, M. (2025). Resilience-Based Decision Criteria for Optimal Regeneration. In Regeneration of Complex Capital Goods: Contributions to the Final Symposium of the Collaborative Research Center 871 (pp. 393-422) https://doi.org/10.1007/978-3-031-51395-4_20
2024
Tyrsin, A. N., Kashcheev, S. E., Beer, M., Kashcheev, S. E., & Gerget, O. M. (2024). Entropy Indicators of Cascading Failures Risk in Gaussian Interconnected Network Structures. In Cyber-Physical Systems: Industry 4.0 to Industry 5.0 Transition (pp. 219-234). (Studies in Systems, Decision and Control; Vol. 560). https://doi.org/10.1007/978-3-031-67911-7_17
2023
Beer, M. (2023). Fuzzy Probability Theory. In Granular, Fuzzy, and Soft ComputingTsau: A Volume in the Encyclopedia ofComplexity and Systems Science,Second Edition (pp. 51–75). (Encyclopedia of Complexity and Systems Science Series). https://doi.org/10.1007/978-1-0716-2628-3_237
Chen, Y., Patelli, E., Edwards, B., & Beer, M. (2023). Spectral Density Estimation Of Stochastic Processes Under Missing Data And Uncertainty Quantification With Bayesian Deep Learning. In Ecomas Proceedia UNCECOMP 2023 (International Conference on Uncertainty Quantification in Computational Science and Engineering; Vol. 5). National Technical University of Athens. https://doi.org/10.7712/120223.10371.19949
Galindo, O., Ibarra, C., Kreinovich, V., & Beer, M. (2023). Fourier Transform and Other Quadratic Problems Under Interval Uncertainty. In Decision Making Under Uncertainty and Constraints (pp. 251-256). (Studies in Systems, Decision and Control; Vol. 217). Springer Verlag. https://doi.org/10.1007/978-3-031-16415-6_37
Jerez, D. J., Jensen, H. A., & Beer, M. (2023). A Two-Phase Sampling Approach for Reliability-Based Optimization in Structural Engineering. In Advances in Reliability and Maintainability Methods and Engineering Applications: Essays in Honor of Professor Hong-Zhong Huang on his 60th Birthday (pp. 21-48). (Springer Series in Reliability Engineering; Vol. Part F266). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-28859-3_2
Wei, P., & Beer, M. (2023). Regression Models for Machine Learning. In Machine Learning in Modeling and Simulation : Methods and Applications (Computational Methods in Engineering & the Sciences (CMES) ). https://doi.org/10.1007/978-3-031-36644-4_9
2022
Bi, S., & Beer, M. (2022). Overview of Stochastic Model Updating in Aerospace Application Under Uncertainty Treatment. In Uncertainty in Engineering. SpringerBriefs in Statistics (pp. 115-130). (Uncertainty in Engineering. SpringerBriefs in Statistics (BRIEFSSTATIST)). https://doi.org/10.1007/978-3-030-83640-5_8
2017
Neumann, I., Beer, M., Gong, Z., Sriboonchitta, S., & Kreinovich, V. (2017). What if we do not know correlations? In Studies in Computational Intelligence (pp. 78-85). (Studies in Computational Intelligence; Vol. 760). Springer Verlag. https://doi.org/10.1007/978-3-319-73150-6_5
2012
Beer, M. (2012). Fuzzy probability theory. In R. A. Meyers (Ed.), Computational Complexity: Theory, Techniques, and Applications (pp. 1240-1252). Springer New York. https://doi.org/10.1007/978-1-4614-1800-9_76
2003
Möller, B., Graf, W., Beer, M., & Sickert, J. U. (2003). Fuzzy stochastic finite element method. In Computational Fluid and Solid Mechanics 2003 (pp. 2074-2077). Elsevier Inc.. https://doi.org/10.1016/B978-008044046-0.50509-1
First
1
Journal Articles
2026
Behrendt, M., Fragkoulis, V. C., Pasparakis, G. D., & Beer, M. (2026). Probabilistic failure analysis of stochastically excited nonlinear structural systems with fractional derivative elements. Reliability Engineering and System Safety, 266, Article 111647. https://doi.org/10.1016/j.ress.2025.111647
Chen, J., Wu, J., Guo, L., Shan, Y., & Beer, M. (2026). Preserving the microstructural fabric integrity of sand: A non-invasive gelatin-based hydrogel stabilization method. Powder technology, 469, Article 121891. https://doi.org/10.1016/j.powtec.2025.121891
Ding, J. Y., Feng, L., Cao, X. Y., Feng, D. C., & Beer, M. (2026). Quantification of model uncertainties in regional-scale seismic analysis of building portfolios. Mechanical Systems and Signal Processing, 248, Article 113990. https://doi.org/10.1016/j.ymssp.2026.113990
Fritsch, L., Geisler, H., Grashorn, J., Klempt, F., Soleimani, M., Broggi, M., Junker, P., & Beer, M. (2026). Bayesian Updating of constitutive parameters under hybrid uncertainties with a novel surrogate model applied to biofilms. Computational mechanics. https://doi.org/10.1007/s00466-026-02777-8
Hong, F., Wei, P., Xu, H., & Beer, M. (2026). Active and collaborative Bayesian calibration of model parameters and bias. Mechanical Systems and Signal Processing, 244, Article 113817. https://doi.org/10.1016/j.ymssp.2025.113817
Huang, T., Zhang, Q., Beer, M., Liu, Y., & Huang, H. Z. (2026). A dynamic reliability assessment method for multi-state manufacturing system by merging imprecise observational information. Reliability Engineering and System Safety, 266, Article 111722. https://doi.org/10.1016/j.ress.2025.111722
Lyu, M. Z., Luo, Y., Zhang, S., & Beer, M. (2026). Path integral solution of the Li-Chen equation and its application to global dynamic reliability via time-variant extreme process. Reliability Engineering and System Safety, 272(Part 1), Article 112474. Advance online publication. https://doi.org/10.1016/j.ress.2026.112474
Singh, M. J., Yao, K., Lei, T., Liu, S., Zhang, Y., Yao, Z., & Beer, M. (2026). Load-bearing performance and failure behavior of multi-flange deep cement mixing columns. Marine Georesources and Geotechnology, 44(4), 883-897. https://doi.org/10.1080/1064119X.2025.2538816
Zhang, X., Jiang, Y., Zhou, H., Beer, M., Faes, M. G. R., Xiao, Y., & He, Z. (2026). Failure mode identification for dynamic stochastic systems using operator norm and parameter space sample search. Reliability Engineering and System Safety, 272, Article 112643. Advance online publication. https://doi.org/10.1016/j.ress.2026.112643
Zhao, Y., Yun, Q., Bi, S., Wang, X., & Beer, M. (2026). Interval model calibration with response-consistent supervised learning network. Mechanical Systems and Signal Processing, 247, Article 113942. https://doi.org/10.1016/j.ymssp.2026.113942
Zheng, Z., Hirzinger, B., Beer, M., & Nackenhorst, U. (2026). Frequency reliability analysis of large-scale high-dimensional stochastic structures. Reliability Engineering and System Safety, 269, Article 112078. https://doi.org/10.1016/j.ress.2025.112078
2025
Al-Washali, B. M., Yao, K., Satchithananthan, U., Yao, Z., Tawfek, A. M., Pan, Y., & Beer, M. (2025). Numerical investigation on the effect of cutterhead shapes on tunnel face stability. Tunnelling and Underground Space Technology, 163, Article 106628. https://doi.org/10.1016/j.tust.2025.106628
Chen, X., Zhang, D., Beer, M., & Aadil, M. (2025). Improved efficiency and accuracy in Bayesian structural model updating via DREAMCMAZS sampling and Kriging surrogates. Structures, 80, Article 109856. https://doi.org/10.1016/j.istruc.2025.109856
Chen, J., Zhang, B., Guo, L., Zhang, H., Achmus, M., & Beer, M. (2025). Study on stress dips in granite residual soil based on experiments and DEM. Granular matter, 27(3), Article 47. https://doi.org/10.1007/s10035-025-01523-w
Dai, H., Li, D., & Beer, M. (2025). Adaptive Kriging-assisted multi-fidelity subset simulation for reliability analysis. Computer Methods in Applied Mechanics and Engineering, 436, Article 117705. https://doi.org/10.1016/j.cma.2024.117705
Elias, S., & Beer, M. (2025). A novel quantum-theory-based optimization of tuned mass dampers for structural vibration control. Computers and Structures, 319, Article 108013. https://doi.org/10.1016/j.compstruc.2025.108013
Elias, S., Beer, M., & Chen, J. (2025). Assessing seismic vulnerability of modular buildings under earthquake ground motions. Engineering structures, 331, Article 120002. https://doi.org/10.1016/j.engstruct.2025.120002
Elias, S., Beer, M., & Mahmoud, H. (2025). Assessments of Seismic Response and Energy Harvesting of Offshore Wind Turbines Equipped with Tuned Mass Damper Inerter. Journal of structural engineering, 151(10), Article 04025145. https://doi.org/10.1061/JSENDH.STENG-14938
Feng, C., Zheng, Z., & Beer, M. (2025). Efficient simulation of conditional random fields and its geotechnical applications. Engineering geology, 356, Article 108284. https://doi.org/10.1016/j.enggeo.2025.108284
Feng, C., Broggi, M., Hu, Y., Faes, M. G. R., & Beer, M. (2025). Interval Fields for Geotechnical Engineering Uncertainty Analysis under Limited Data. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, 11(2), Article 04025004. https://doi.org/10.1061/AJRUA6.RUENG-1467
