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arXiv 2512.03020cs.CV

展开网络是MRI重建中的条件概率流

FLAT: FLow-Aligned Training of Unrolled Networks for MRI Reconstruction

Stony Brook University(石溪大学);Harvard Medical School(哈佛医学院)

Kehan Qi, Saumya Gupta, Xiaoling Hu, Qingqiao Hu, Weimin Lyu, Yicun Wang, Chao Chen

AI总结:

本文提出FLAT方法,通过流匹配离散化和轨迹对齐提升MRI重建的稳定性与质量。

摘要:

展开网络因其高效性被广泛用于磁共振成像(MRI)重建,但它们在级联中通常表现出输出质量不稳定,导致最终重建结果不理想。在本工作中,我们解决了展开网络固有的局限性,受最近的流匹配范式启发。我们首先理论证明展开网络是条件概率流的离散化。这种联系表明,在MRI重建中,展开网络和流匹配是类似的。基于这一见解,我们提出了流对齐训练(FLAT),其(1)从流匹配的离散化中推导出重要的级联参数;(2)将中间重建与理想的流匹配轨迹对齐,以提高级联迭代的稳定性和收敛性。在三个MRI数据集上的实验表明,FLAT在子网络中产生稳定的轨迹,提高了最终重建的质量。

英文摘要:

Unrolled networks are widely used in Magnetic Resonance Imaging (MRI) reconstruction for their efficiency. Structured as a series of neural network stages (or cascades), an unrolled network takes a low-quality input and passes it sequentially through each stage to iteratively refine the reconstruction. However, unrolled networks typically exhibit unstable output quality across cascades, resulting in sub-optimal final reconstruction results. In this work, we address this inherent limitation of unrolled networks, drawing inspiration from recent Flow Matching paradigm. We first theoretically show that unrolled networks can be viewed as discretizations of approximate conditional probability flows. This connection shows that unrolled networks and Flow Matching are analogous in MRI reconstruction. Building upon this insight, we propose FLow-Aligned Training (FLAT), which (1) derives important cascade parameters from the Flow Matching discretization; and (2) aligns intermediate reconstructions with the ideal Flow Matching trajectory to improve cascade iteration stability and convergence. Experiments on three MRI datasets show that FLAT results in a stable trajectory across sub-networks, improving the quality of the final reconstruction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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