TY - JOUR
T1 - An interpretable multivariate remaining useful life prediction method of mechanical equipment based on adaptive threshold aggregation causal discovery
AU - Xu, Juan
AU - Deng, Zhengyu
AU - Dai, Mingguang
AU - Yu, Xinhang
AU - Ding, Xu
AU - Yan, Ruqiang
N1 - Publisher Copyright:
© 2026 Elsevier Ltd.
PY - 2026/7
Y1 - 2026/7
N2 - Accurately predicting the remaining useful life (RUL) of mechanical equipment is crucial for ensuring the safety and reliability of mechanical systems. However, existing deep learning-based RUL prediction methods often face challenges related to interpretability and robustness when dealing with complex multivariate time series data. To address this, this paper proposes a multivariate RUL prediction method based on adaptive threshold aggregation causal discovery. Specifically, a Bayesian Information Criterion-based causal discovery method is employed to explore the relationships between variables (i.e., sensor signals) across multiple samples, yielding a corresponding causal graph. An adaptive threshold mechanism is then designed to aggregate these sample-level graphs into a global structure that highlights key dependencies. Based on this, causal effect estimation is performed by combining front-door and back-door adjustment methods to generate a causal effect matrix. This matrix, together with the multivariate time series data, is input into a Temporal Graph Convolutional Network to capture dynamic dependencies and causal associations for RUL prediction. Experimental results on the C-MAPSS dataset show that the proposed method achieves an average RMSE of 13.3, outperforming state-of-the-art benchmarks and providing more reliable and interpretable insights into RUL prediction.
AB - Accurately predicting the remaining useful life (RUL) of mechanical equipment is crucial for ensuring the safety and reliability of mechanical systems. However, existing deep learning-based RUL prediction methods often face challenges related to interpretability and robustness when dealing with complex multivariate time series data. To address this, this paper proposes a multivariate RUL prediction method based on adaptive threshold aggregation causal discovery. Specifically, a Bayesian Information Criterion-based causal discovery method is employed to explore the relationships between variables (i.e., sensor signals) across multiple samples, yielding a corresponding causal graph. An adaptive threshold mechanism is then designed to aggregate these sample-level graphs into a global structure that highlights key dependencies. Based on this, causal effect estimation is performed by combining front-door and back-door adjustment methods to generate a causal effect matrix. This matrix, together with the multivariate time series data, is input into a Temporal Graph Convolutional Network to capture dynamic dependencies and causal associations for RUL prediction. Experimental results on the C-MAPSS dataset show that the proposed method achieves an average RMSE of 13.3, outperforming state-of-the-art benchmarks and providing more reliable and interpretable insights into RUL prediction.
KW - Bayesian information criterion
KW - Causal discovery
KW - Multivariate time series
KW - Remaining useful life prediction
KW - Temporal graph convolutional network
UR - https://www.scopus.com/pages/publications/105027631946
U2 - 10.1016/j.ress.2026.112214
DO - 10.1016/j.ress.2026.112214
M3 - 文章
AN - SCOPUS:105027631946
SN - 0951-8320
VL - 271
JO - Reliability Engineering and System Safety
JF - Reliability Engineering and System Safety
M1 - 112214
ER -