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    HocMRI enhances magnetic resonance imaging super-resolution (MRI SR) by capturing high-order correlations across slices and using a hyperparameter-free algorithm. This deep unfolding framework achieves superior performance and efficiency in MRI reconstruction.

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    Area of Science:

    • Medical Imaging
    • Artificial Intelligence
    • Computer Vision

    Background:

    • Deep unfolding networks are effective for MRI super-resolution (SR).
    • Existing methods overlook high-order correlations within volumetric MRI data and use proximal gradient algorithms (PGA) with manual hyperparameters, leading to suboptimal solutions.

    Purpose of the Study:

    • To propose HocMRI, a deep unfolding multi-contrast MRI SR framework.
    • To integrate dual-prior modeling and a hyperparameter-free PGA for enhanced MRI reconstruction.

    Main Methods:

    • A novel degradation model using dual-prior mechanisms: low-rank tensor factorization for slice dependencies and a Mamba-based network with 3D scanning for high-order correlations.
    • Derivation of a hyperparameter-free PGA using a hyperbolic tangent function for dynamic step control, eliminating manual tuning.
    • Unfolding the optimization algorithm into a multi-stage deep network for efficient iterative reconstruction.

    Main Results:

    • HocMRI effectively captures intra- and inter-slice dependencies and high-order correlations across slices.
    • The hyperparameter-free PGA ensures stable convergence without manual tuning, outperforming traditional PGA.
    • Experimental results show HocMRI achieves superior performance and enhanced efficiency compared to state-of-the-art methods on widely used MRI datasets.

    Conclusions:

    • HocMRI represents a significant advancement in multi-contrast MRI super-resolution.
    • The proposed framework addresses limitations of existing methods by incorporating high-order correlations and a robust optimization algorithm.
    • HocMRI offers a promising solution for high-quality MRI reconstruction with improved efficiency.