提出新方法提升脑影像多重检验的发现率与稳定性。
A False Discovery Rate Control Method Using a Fully Connected Hidden Markov Random Field for Neuroimaging Data
- 用全连接隐马尔可夫随机场建模复杂空间依赖
- 在模拟和真实数据中均降低假阴性率且结果更稳定
- 适合高分辨率脑影像的大规模数据分析
在脑影像分析中,针对数百万个体素进行多重假设检验时,错误发现率(FDR)控制至关重要。传统FDR方法(如BH、q-value、LocalFDR)假设检验独立,常导致假阴性率过高。尽管已有多种空间FDR方法,仍难以同时解决三个核心挑战:捕捉复杂空间结构、在重复实验中保持较低的假发现比例(FDP)与假非发现比例(FNP)变异性,以及高分辨率数据下的计算可扩展性。为此,本文提出fcHMRF-LIS方法,结合局部显著性指数(LIS)检验与新型全连接隐马尔可夫随机场(fcHMRF),以简洁参数化建模复杂空间模式。通过引入期望最大化算法、平均场近似、条件随机场作为循环神经网络(CRF-RNN)技术及排列晶格滤波,将时间复杂度从二次降低至线性。大量仿真显示,该方法能精确控制FDR,显著降低假阴性率,减少FDP与FNP的变异性,并识别更多真阳性区域。在阿尔茨海默病神经影像倡议(ADNI)的FDG-PET数据上应用,成功识别出具有神经生物学意义的脑区,且计算效率明显优于现有方法。
原文摘要 · Abstract (English)
False discovery rate (FDR) control methods are essential for voxel-wise multiple testing in neuroimaging data analysis, where hundreds of thousands or even millions of tests are conducted to detect brain regions associated with disease-related changes. Classical FDR control methods (e.g., BH, q-value, and LocalFDR) assume independence among tests and often lead to high false non-discovery rates (FNR). Although various spatial FDR control methods have been developed to improve power, they still fall short of jointly addressing three major challenges in neuroimaging applications: capturing complex spatial dependencies, maintaining low variability in both false discovery proportion (FDP) and false non-discovery proportion (FNP) across replications, and achieving computational scalability for high-resolution data. To address these challenges, we propose fcHMRF-LIS, a powerful, stable, and scalable spatial FDR control method for voxel-wise multiple testing. It integrates the local index of significance (LIS)-based testing procedure with a novel fully connected hidden Markov random field (fcHMRF) designed to model complex spatial structures using a parsimonious parameterization. We develop an efficient expectation-maximization algorithm incorporating mean-field approximation, the Conditional Random Fields as Recurrent Neural Networks (CRF-RNN) technique, and permutohedral lattice filtering, reducing the time complexity from quadratic to linear in the number of tests. Extensive simulations demonstrate that fcHMRF-LIS achieves accurate FDR control, lower FNR, reduced variability in FDP and FNP, and a higher number of true positives compared to existing methods. Applied to an FDG-PET dataset from the Alzheimer's Disease Neuroimaging Initiative, fcHMRF-LIS identifies neurobiologically relevant brain regions and offers notable advantages in computational efficiency.
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