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Classifier-guided neural blind deconvolution: a physics-informed denoising module for bearing fault diagnosis under heavy noise

Jing-Xiao Liao, Chao He, Jipu Li, Jinwei Sun, Shiping Zhang, Xiaoge Zhang

TL;DR

This work tackles bearing fault diagnosis under severe noise by uniting blind deconvolution (BD) with fault classifiers through a classifier-guided BD (ClassBD) framework. It introduces two neural BD modules—a time-domain quadratic convolutional neural filter and a frequency-domain linear filter—whose outputs feed a downstream classifier, all trained with a physics-informed joint loss that combines cross-entropy with time- and frequency-domain sparsity terms. The joint objective uses uncertainty-weighted balancing to adaptively weigh the components, transforming BD from an unsupervised feature extractor into a supervised, interpretable module aligned with the classification task. Extensive experiments on three real-bearing datasets (PU, JNU, HIT) show ClassBD consistently outperforms state-of-the-art BD and deep-learning baselines under heavy noise, and even improves performance when integrated with various backbones and classic ML classifiers. The results demonstrate ClassBD’s robustness, interpretability, and portability, with potential extensions to cross-domain and small-sample scenarios in future research.

Abstract

Blind deconvolution (BD) has been demonstrated as an efficacious approach for extracting bearing fault-specific features from vibration signals under strong background noise. Despite BD's desirable feature in adaptability and mathematical interpretability, a significant challenge persists: How to effectively integrate BD with fault-diagnosing classifiers? This issue arises because the traditional BD method is solely designed for feature extraction with its own optimizer and objective function. When BD is combined with downstream deep learning classifiers, the different learning objectives will be in conflict. To address this problem, this paper introduces classifier-guided BD (ClassBD) for joint learning of BD-based feature extraction and deep learning-based fault classification. Firstly, we present a time and frequency neural BD that employs neural networks to implement conventional BD, thereby facilitating the seamless integration of BD and the deep learning classifier for co-optimization of model parameters. Subsequently, we develop a unified framework to use a deep learning classifier to guide the learning of BD filters. In addition, we devise a physics-informed loss function composed of kurtosis, $l_2/l_4$ norm, and a cross-entropy loss to jointly optimize the BD filters and deep learning classifier. Consequently, the fault labels provide useful information to direct BD to extract features that distinguish classes amidst strong noise. To the best of our knowledge, this is the first of its kind that BD is successfully applied to bearing fault diagnosis. Experimental results from three datasets demonstrate that ClassBD outperforms other state-of-the-art methods under noisy conditions.

Classifier-guided neural blind deconvolution: a physics-informed denoising module for bearing fault diagnosis under heavy noise

TL;DR

This work tackles bearing fault diagnosis under severe noise by uniting blind deconvolution (BD) with fault classifiers through a classifier-guided BD (ClassBD) framework. It introduces two neural BD modules—a time-domain quadratic convolutional neural filter and a frequency-domain linear filter—whose outputs feed a downstream classifier, all trained with a physics-informed joint loss that combines cross-entropy with time- and frequency-domain sparsity terms. The joint objective uses uncertainty-weighted balancing to adaptively weigh the components, transforming BD from an unsupervised feature extractor into a supervised, interpretable module aligned with the classification task. Extensive experiments on three real-bearing datasets (PU, JNU, HIT) show ClassBD consistently outperforms state-of-the-art BD and deep-learning baselines under heavy noise, and even improves performance when integrated with various backbones and classic ML classifiers. The results demonstrate ClassBD’s robustness, interpretability, and portability, with potential extensions to cross-domain and small-sample scenarios in future research.

Abstract

Blind deconvolution (BD) has been demonstrated as an efficacious approach for extracting bearing fault-specific features from vibration signals under strong background noise. Despite BD's desirable feature in adaptability and mathematical interpretability, a significant challenge persists: How to effectively integrate BD with fault-diagnosing classifiers? This issue arises because the traditional BD method is solely designed for feature extraction with its own optimizer and objective function. When BD is combined with downstream deep learning classifiers, the different learning objectives will be in conflict. To address this problem, this paper introduces classifier-guided BD (ClassBD) for joint learning of BD-based feature extraction and deep learning-based fault classification. Firstly, we present a time and frequency neural BD that employs neural networks to implement conventional BD, thereby facilitating the seamless integration of BD and the deep learning classifier for co-optimization of model parameters. Subsequently, we develop a unified framework to use a deep learning classifier to guide the learning of BD filters. In addition, we devise a physics-informed loss function composed of kurtosis, norm, and a cross-entropy loss to jointly optimize the BD filters and deep learning classifier. Consequently, the fault labels provide useful information to direct BD to extract features that distinguish classes amidst strong noise. To the best of our knowledge, this is the first of its kind that BD is successfully applied to bearing fault diagnosis. Experimental results from three datasets demonstrate that ClassBD outperforms other state-of-the-art methods under noisy conditions.
Paper Structure (32 sections, 43 equations, 9 figures, 15 tables)

This paper contains 32 sections, 43 equations, 9 figures, 15 tables.

Figures (9)

  • Figure 1: The proposed framework: (a) The time-domain filter, consisting of two symmetric quadratic convolutional neural network (QCNN) layers, is designed for time domain BD. (b) The frequency-domain filter, composed of a fully-connected layer, is utilized for frequency domain BD. (c) The output from the fully-connected layer is extracted to compute the envelope spectrum (ES), which is crucial for constructing the objective function. (d) The output from the frequency domain linear filter is directed to the deep learning classifier to yield classification results.
  • Figure 2: The optimization directions of $l_4/l_2$ and $l_2/l_4$ norm. Where the orange points display the $l_2/l_4$ values of the noisy and clean bearing fault signals in the envelope spectrum. Blue points are the $l_4/l_2$ values of the noisy and clean fault signals in the time domain. The optimization is to maximize the $l_4/l_2$ value of the time domain while minimizing the $l_2/l_4$ value of the frequency domain.
  • Figure 3: The F1 scores (%) of baseline methods on the PU N09M07F10 dataset under small sample conditions.
  • Figure 4: The bearing fault test rig and three types of faults.
  • Figure 5: The t-SNE visualization of the last convolutional features of all methods on the -10dB HIT dataset.
  • ...and 4 more figures