用真实噪声模拟提升脑组织微结构估计精度,尤其在低信噪比下更有效。
Realistic noise synthesis reduces bias and improves tissue microstructure estimation with supervised machine learning
- 引入真实噪声合成框架,融合瑞利期望与后处理噪声方差
- 降低低信噪比下的系统性偏差,接近非线性最小二乘法性能
- 对噪声估计精度敏感,适合高b值或高分辨率扩散成像任务
扩散MRI可无创探测组织微结构,但噪声影响参数估计准确性。在基于仿真数据训练的监督学习框架中,仿真信号与实际采集信号的噪声特性差异导致协变量偏移,即训练与推理时输入信号分布不一致。本文研究该失配对微结构参数估计的影响,并提出真实噪声合成(RNS)框架以缓解此问题。RNS将瑞利期望与有效后处理噪声方差融入仿真训练信号:瑞利期望由MPPCA估计的噪声标准差建模,有效标准差则来自预处理数据的球谐残差。方法在多信噪比水平的仿真数据及重复采集的真实数据上评估,涵盖圆柱-零极模型和SANDI模型。忽略幅度噪声效应会导致系统性、信噪比依赖的参数偏差,尤其在低信噪比下显著。引入瑞利期望大幅减少偏差至接近噪声感知非线性最小二乘拟合水平;进一步建模有效标准差可提升精度。性能基本不受回归架构影响,但对噪声估计准确性敏感。结果表明,在仿真训练数据中进行真实噪声建模能缓解信号域协变量偏移,是实现无偏微结构估计的关键,尤其在高b值或高空间分辨率引起的低信噪比场景中。
原文摘要 · Abstract (English)
Diffusion MRI enables non-invasive probing of tissue microstructure, but accurate parameter estimation is challenged by noise-related effects. In supervised machine learning frameworks trained on simulated data, discrepancies between the noise characteristics of simulated and acquired signals introduce a form of covariate shift, whereby the input signal distribution differs between training and inference. We investigated the impact of this mismatch on microstructure parameter estimation and propose a realistic noise synthesis (RNS) framework to mitigate it. RNS incorporates both the Rician expectation and the effective post-processing noise variance into simulated training signals. The Rician expectation was modelled using a noise standard deviation estimated with MPPCA, while the effective standard deviation was derived from spherical harmonic residuals of preprocessed data. The method was evaluated using the cylinder-zeppelin and the SANDI models on simulated datasets across multiple SNR levels and on in vivo diffusion data with repeated acquisitions. Sensitivity to noise misestimation was also assessed. Ignoring magnitude-induced noise effects during training produced systematic, SNR-dependent parameter bias, particularly at low SNR. Incorporating the Rician expectation substantially reduced bias to the level of noise-aware nonlinear least-squares fitting. Modelling the effective standard deviation further improved precision. Performance was largely independent of regression architecture but sensitive to accurate noise estimation. These findings demonstrate that realistic noise modelling in simulated training data mitigates signal-domain covariate shift and is essential for unbiased supervised microstructure estimation, particularly in low-SNR regimes associated with high b-values or high spatial resolution.
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