Lightweight Hypercomplex MRI Reconstruction: A Generalized Kronecker-Parameterized Approach

Fuente: arXiv
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Autori principali: Zhang, Haosen, Huang, Jiahao, Wu, Yinzhe, Dai, Congren, Wang, Fanwen, Zhang, Zhenxuan, Yang, Guang
Natura: Preprint
Pubblicazione: 2025
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author Zhang, Haosen
Huang, Jiahao
Wu, Yinzhe
Dai, Congren
Wang, Fanwen
Zhang, Zhenxuan
Yang, Guang
author_facet Zhang, Haosen
Huang, Jiahao
Wu, Yinzhe
Dai, Congren
Wang, Fanwen
Zhang, Zhenxuan
Yang, Guang
contents Magnetic Resonance Imaging (MRI) is crucial for clinical diagnostics but is hindered by prolonged scan times. Current deep learning models enhance MRI reconstruction but are often memory-intensive and unsuitable for resource-limited systems. This paper introduces a lightweight MRI reconstruction model leveraging Kronecker-Parameterized Hypercomplex Neural Networks to achieve high performance with reduced parameters. By integrating Kronecker-based modules, including Kronecker MLP, Kronecker Window Attention, and Kronecker Convolution, the proposed model efficiently extracts spatial features while preserving representational power. We introduce Kronecker U-Net and Kronecker SwinMR, which maintain high reconstruction quality with approximately 50% fewer parameters compared to existing models. Experimental evaluation on the FastMRI dataset demonstrates competitive PSNR, SSIM, and LPIPS metrics, even at high acceleration factors (8x and 16x), with no significant performance drop. Additionally, Kronecker variants exhibit superior generalization and reduced overfitting on limited datasets, facilitating efficient MRI reconstruction on hardware-constrained systems. This approach sets a new benchmark for parameter-efficient medical imaging models.
format Preprint
id arxiv_https___arxiv_org_abs_2503_05063
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lightweight Hypercomplex MRI Reconstruction: A Generalized Kronecker-Parameterized Approach
Zhang, Haosen
Huang, Jiahao
Wu, Yinzhe
Dai, Congren
Wang, Fanwen
Zhang, Zhenxuan
Yang, Guang
Image and Video Processing
Computer Vision and Pattern Recognition
I.2.6; I.4.5
Magnetic Resonance Imaging (MRI) is crucial for clinical diagnostics but is hindered by prolonged scan times. Current deep learning models enhance MRI reconstruction but are often memory-intensive and unsuitable for resource-limited systems. This paper introduces a lightweight MRI reconstruction model leveraging Kronecker-Parameterized Hypercomplex Neural Networks to achieve high performance with reduced parameters. By integrating Kronecker-based modules, including Kronecker MLP, Kronecker Window Attention, and Kronecker Convolution, the proposed model efficiently extracts spatial features while preserving representational power. We introduce Kronecker U-Net and Kronecker SwinMR, which maintain high reconstruction quality with approximately 50% fewer parameters compared to existing models. Experimental evaluation on the FastMRI dataset demonstrates competitive PSNR, SSIM, and LPIPS metrics, even at high acceleration factors (8x and 16x), with no significant performance drop. Additionally, Kronecker variants exhibit superior generalization and reduced overfitting on limited datasets, facilitating efficient MRI reconstruction on hardware-constrained systems. This approach sets a new benchmark for parameter-efficient medical imaging models.
title Lightweight Hypercomplex MRI Reconstruction: A Generalized Kronecker-Parameterized Approach
topic Image and Video Processing
Computer Vision and Pattern Recognition
I.2.6; I.4.5
url https://arxiv.org/abs/2503.05063