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Deep equilibrium-adversarial robust unfolding network for MRI reconstruction.

Tian Zhou1,2, Kun Shang1,3, Congcong Liu4

  • 1Research Center for Medical AI, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong, China.

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|December 13, 2025
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A new deep equilibrium-adversarial robust unfolding network (DEAR-net) improves magnetic resonance imaging (MRI) reconstruction by enhancing robustness against k-space artifacts and noise, leading to higher image quality.

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mathematical reconstruction error analysisrobust MRI reconstructionstable adversarial learning

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Area of Science:

  • Medical Imaging
  • Artificial Intelligence
  • Deep Learning

Background:

  • Deep unfolding neural networks offer efficient MRI reconstruction but are vulnerable to artifacts and noise.
  • Iterative optimization in these networks can amplify signal perturbations, degrading image quality.

Purpose of the Study:

  • To develop a robust framework for MRI reconstruction that mitigates artifacts and noise in k-space.
  • To enhance the stability of the MRI reconstruction process.

Main Methods:

  • Proposed a novel deep equilibrium-adversarial robust unfolding network (DEAR-net).
  • Integrated adversarial learning with deep equilibrium architectures to suppress perturbations.
  • Utilized deep equilibrium architectures to maintain reconstruction stability.

Main Results:

  • DEAR-net demonstrated superior reconstruction performance.
  • Achieved higher image quality and enhanced robustness against k-space noise and artifacts.
  • Validated on fastMRI knee and private brain datasets.

Conclusions:

  • DEAR-net improves MRI reconstruction robustness against mild k-space noise and artifacts.
  • The framework enhances image quality in under-sampled k-space data.
  • Mathematical analysis of reconstruction error was provided.