RGNet: Renormalization Group Neural Network for Imbalanced Fault Diagnosis.

Evgeny Nikulchev, Dmitry Ilin· June 18, 2026 View original

Summary

This paper introduces RGNet, a neural network architecture inspired by the renormalization group concept, designed to address class imbalance and multidimensional noise in machine learning tasks. RGNet hierarchically coarse-grains the feature space, capturing both local and global patterns for improved fault diagnosis, especially in datasets with imbalanced classes.

Machine learning models often struggle with practical challenges such as class imbalance and high-dimensional noise, which can significantly degrade performance, particularly in critical applications like fault diagnosis. To address these issues, a new neural network architecture called RGNet has been proposed. RGNet is built upon the principles of the renormalization group (RG), enabling a hierarchical coarse-graining of the feature space. This design allows the model to sequentially compress input dimensionality while retaining information from various scales, ultimately concatenating these multi-scale representations for classification. This unique approach helps RGNet effectively capture both fine-grained local details and broader global patterns within the data. The research also introduces "RG-flows," which are interpretable low-dimensional representations derived from the model. Visualizations of these flows confirm the efficacy of the coarse-graining process. Empirical evaluations on the imbalanced AI4I dataset demonstrate that RGNet provides a universal, interpretable, and competitive solution for fault prediction in scenarios characterized by imbalanced classes.

Why it matters

For professionals in manufacturing, predictive maintenance, and quality control, RGNet offers a promising solution for accurate fault diagnosis, especially when dealing with rare fault events (class imbalance) and complex sensor data. Its interpretability also aids in understanding the underlying causes of faults.

How to implement this in your domain

  1. 1Explore RGNet for developing predictive maintenance systems where fault data is often imbalanced.
  2. 2Apply hierarchical coarse-graining techniques to feature engineering in datasets with high dimensionality and noise.
  3. 3Utilize RG-flows for visualizing and interpreting complex data patterns in diagnostic applications.
  4. 4Benchmark RGNet against existing models for fault prediction in industrial settings, focusing on performance with imbalanced classes.

Who benefits

ManufacturingIndustrial IoTPredictive MaintenanceQuality ControlHealthcare (diagnostics)

Key takeaways

  • RGNet is a novel neural network for fault diagnosis, inspired by the renormalization group.
  • It effectively handles class imbalance and multidimensional noise through hierarchical coarse-graining.
  • The model captures both local and global data patterns for robust classification.
  • RGNet offers an interpretable and competitive solution for imbalanced fault prediction tasks.

Original post by Evgeny Nikulchev, Dmitry Ilin

"arXiv:2606.18326v1 Announce Type: new Abstract: The application of machine learning models in practical tasks faces challenges such as class imbalance and multidimensional noise. This paper proposes RGNet, a neural network architecture based on the concept of the renormalization…"

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