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    Summary
    This summary is machine-generated.

    This study introduces Extended Invariant Risk Minimization (EIRM) to tackle noisy label-domain generalization (NL-DG) in machine fault diagnosis. EIRM enhances model robustness and generalization by seeking flat minima, outperforming benchmarks on real-world datasets.

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    Area of Science:

    • Machine Learning
    • Data Science
    • Engineering

    Background:

    • Supervised models in machine fault diagnosis struggle with incorrect labels and domain shifts.
    • This challenge is known as the noisy label-domain generalization (NL-DG) problem, hindering model effectiveness.

    Purpose of the Study:

    • To develop a novel method, Extended Invariant Risk Minimization (EIRM), to address the NL-DG problem.
    • To improve the robustness and generalization capabilities of machine fault diagnosis models.

    Main Methods:

    • EIRM incorporates flat minima seeking by shifting the gradient penalty base to the entire model.
    • Theoretical analysis explores function smoothness and algorithm convergence for EIRM.
    • An efficient implementation of EIRM is developed for fault diagnosis model construction.

    Main Results:

    • EIRM demonstrates a strong relationship with locating flat minima, crucial for label noise robustness and generalization.
    • Comparative studies on actuator and gearbox fault datasets show EIRM outperforms existing benchmarks.
    • The EIRM-based method proves more effective on average across multiple NL-DG tasks.

    Conclusions:

    • EIRM offers a robust solution for machine fault diagnosis under noisy label and domain generalization challenges.
    • The method enhances model performance by improving generalization and robustness to label noise.
    • The developed EIRM approach provides a significant advancement in data-driven fault diagnosis applications.