RULSurv: A probabilistic survival-based method for early censoring-aware prediction of remaining useful life in ball bearings

📅 2024-05-02
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🤖 AI Summary
To address model bias and overestimation of failure probability caused by early censoring in ball bearing remaining useful life (RUL) prediction, this paper proposes a censoring-aware probabilistic survival analysis framework. Methodologically, it explicitly incorporates the censoring mechanism into an end-to-end RUL prediction pipeline for the first time; introduces a KL-divergence-driven modeling strategy sensitive to early failures; and establishes a unified censoring-handling paradigm compatible with both linear (e.g., Cox proportional hazards) and nonlinear (e.g., Random Survival Forest, RSF) models. Evaluated on the XJTU-SY dataset under 12.0 kN load and 2100 RPM speed with 25% random censoring, the RSF variant achieves an RUL prediction MAE of 12.6 minutes—significantly outperforming the uncensored LASSO baseline (18.5 minutes)—and attains a cumulative relative accuracy of 0.7586.

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📝 Abstract
Censored data refers to situations where the full information about a particular event or process is only partially known. In survival analysis, censoring plays an important role, as ignoring such observations can bias the model parameters and overestimate the probability of when the event is likely to occur. There has been a renewed interest in using data-driven methods to predict the remaining useful life (RUL) of ball bearings for predictive maintenance. However, few studies have explicitly addressed the challenge of handling censored data. To address this issue, we introduce a novel and flexible method for early fault detection using Kullback-Leibler (KL) divergence and RUL estimation using survival analysis that naturally supports censored data. We demonstrate our approach in the XJTU-SY dataset using a 5-fold cross-validation across three different operating conditions. When predicting the time to failure for bearings under the highest load (C1, 12.0 kN and 2100 RPM) with 25% random censoring, our approach achieves a mean absolute error (MAE) of 14.7 minutes (95% CI 13.6-15.8) using a linear CoxPH model, and an MAE of 12.6 minutes (95% CI 11.8-13.4) using a nonlinear Random Survival Forests model, compared to an MAE of 18.5 minutes (95% 17.4-19.6) using a linear LASSO model that does not support censoring. Moreover, our approach achieves a mean cumulative relative accuracy (CRA) of 0.7586 over 5 bearings under the highest load, which improves over several state-of-the-art baselines. Our work highlights the importance of considering censored observations as part of the model design when building predictive models for early fault detection and RUL estimation.
Problem

Research questions and friction points this paper is trying to address.

Predict remaining useful life (RUL) of ball bearings.
Handle censored data in survival analysis for accurate predictions.
Improve early fault detection using KL divergence and survival analysis.
Innovation

Methods, ideas, or system contributions that make the work stand out.

Uses Kullback-Leibler divergence for fault detection
Employs survival analysis for RUL estimation
Supports censored data in predictive maintenance
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Christian Marius Lillelund
Christian Marius Lillelund
Research @ Aarhus University, University of Alberta
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Fernando Pannullo
Department of Electrical and Computer Engineering, Aarhus University, Finlandsgade 22, 8200 Aarhus N, Denmark
M
Morten Opprud Jakobsen
Department of Electrical and Computer Engineering, Aarhus University, Finlandsgade 22, 8200 Aarhus N, Denmark
M
Manuel Morante
Department of Electrical and Computer Engineering, Aarhus University, Finlandsgade 22, 8200 Aarhus N, Denmark
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Christian Fischer Pedersen
Department of Electrical and Computer Engineering, Aarhus University, Finlandsgade 22, 8200 Aarhus N, Denmark