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    This study introduces a new learning-based framework to optimize magnetic resonance imaging (MRI) sampling patterns for specific reconstruction methods and anatomy. This approach improves MRI data acquisition by considering both noiseless and noisy conditions.

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    Area of Science:

    • Medical Imaging
    • Machine Learning
    • Signal Processing

    Background:

    • Magnetic Resonance Imaging (MRI) utilizes non-linear reconstruction algorithms with Fourier subsampling patterns.
    • Current subsampling pattern design is often isolated from reconstruction rules and specific anatomical considerations.

    Purpose of the Study:

    • To develop a learning-based framework for optimizing MRI subsampling patterns.
    • To tailor sampling patterns to specific reconstruction algorithms and anatomical targets.
    • To address both noiseless and noisy data acquisition scenarios.

    Main Methods:

    • A learning algorithm utilizing representative training signals to search for optimal sampling patterns.
    • Introduction of a novel parameter-free greedy mask selection method.
    • Validation across diverse reconstruction rules and performance metrics.

    Main Results:

    • The proposed framework effectively optimizes MRI subsampling patterns.
    • The greedy mask selection method demonstrates broad applicability and effectiveness.
    • Numerical findings are rigorously supported by statistical learning theory.

    Conclusions:

    • The developed framework offers a principled approach to designing MRI sampling strategies.
    • This method enhances MRI reconstruction performance by integrating pattern design with reconstruction and anatomy.
    • The framework provides a robust and theoretically justified solution for adaptive MRI data acquisition.