Navigating Uncertainties in Machine Learning for Structural Dynamics: A Comprehensive Review of Probabilistic and Non-Probabilistic Approaches in Forward and Inverse Problems
<|reference_start|>Navigating Uncertainties in Machine Learning for Structural Dynamics: A Comprehensive Review of Probabilistic and Non-Probabilistic Approaches in Forward and Inverse Problems: In the era of big data, machine learning (ML) has become a powerful tool in various fields, notably impacting structural dynamics. ML algorithms offer advantages by modeling physical phenomena based on data, even in the absence of underlying mechanisms. However, uncertainties such as measurement noise and modeling errors can compromise the reliability of ML predictions, highlighting the need for effective uncertainty awareness to enhance prediction robustness. This paper presents a comprehensive review on navigating uncertainties in ML, categorizing uncertainty-aware approaches into probabilistic methods (including Bayesian and frequentist perspectives) and non-probabilistic methods (such as interval learning and fuzzy learning). Bayesian neural networks, known for their uncertainty quantification and nonlinear mapping capabilities, are emphasized for their superior performance and potential. The review covers various techniques and methodologies for addressing uncertainties in ML, discussing fundamentals and implementation procedures of each method. While providing a concise overview of fundamental concepts, the paper refrains from in-depth critical explanations. Strengths and limitations of each approach are examined, along with their applications in structural dynamic forward problems like response prediction, sensitivity assessment, and reliability analysis, and inverse problems like system identification, model updating, and damage identification. Additionally, the review identifies research gaps and suggests future directions for investigations, aiming to provide comprehensive insights to the research community. By offering an extensive overview of both probabilistic and non-probabilistic approaches, this review aims to assist researchers and practitioners in making informed decisions when utilizing ML techniques to address uncertainties in structural dynamic problems.<|reference_end|>
@article{yan2024navigating,
    title={Navigating Uncertainties in Machine Learning for Structural Dynamics: A
  Comprehensive Review of Probabilistic and Non-Probabilistic Approaches in
  Forward and Inverse Problems},
    author={Wang-Ji Yan (1 and 2), Lin-Feng Mei (1), Jiang Mo (1), Costas
  Papadimitriou (3), Ka-Veng Yuen (1 and 2), and Michael Beer (4,5, and 6) ((1)
  State Key Laboratory of Internet of Things for Smart City and Department of
  Civil and Environmental Engineering, University of Macau, (2) Guangdong-Hong
  Kong-Macau Joint Laboratory for Smart Cities, China, (3) Department of
  Mechanical Engineering, University of Thessaly, (4) Leibniz University
  Hannover, Institute for Risk and Reliability, (5) Department of Civil and
  Environmental Engineering, University of Liverpool, (6) International Joint
  Research Center for Resilient Infrastructure & International Joint Research
  Center for Engineering Reliability and Stochastic Mechanics, Tongji
  University)},
    journal={arXiv preprint arXiv:2408.08629},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.08629},
    primaryClass={cs.LG math.DS}
}