arXiv:2409.11583eess.SPcs.AI2024-09被引 1

分解超声参数估计不确定性,提升临床可信度。

Uncertainty Decomposition and Error Margin Detection of Homodyned-K Distribution in Quantitative Ultrasound

  • 用贝叶斯神经网络分离模型与数据两类不确定性
  • 发现预测误差与两类不确定性相关,α和k估计更稳定
  • 适合超声定量分析与医学影像可信度研究者

定量超声(QUS)中的同调K分布(HK-distribution)参数估计近年来采用贝叶斯神经网络(BNN)实现。BNN在保持精度的同时显著降低计算时间,并提供特征不确定性估计,有助于医生判断结果可靠性。贝叶斯建模中的总预测不确定性可分解为认知不确定性(对模型参数的不确定性)和随机不确定性(数据固有噪声)。本研究提出一种方法,用于在仿真与实验数据中计算由BNN估计的HK分布参数α和k的认知与随机不确定性。同时,探究预测误差与两类不确定性的关系,揭示其与参数估计误差的关联机制。

原文摘要 · Abstract (English)

Homodyned K-distribution (HK-distribution) parameter estimation in quantitative ultrasound (QUS) has been recently addressed using Bayesian Neural Networks (BNNs). BNNs have been shown to significantly reduce computational time in speckle statistics-based QUS without compromising accuracy and precision. Additionally, they provide estimates of feature uncertainty, which can guide the clinician's trust in the reported feature value. The total predictive uncertainty in Bayesian modeling can be decomposed into epistemic (uncertainty over the model parameters) and aleatoric (uncertainty inherent in the data) components. By decomposing the predictive uncertainty, we can gain insights into the factors contributing to the total uncertainty. In this study, we propose a method to compute epistemic and aleatoric uncertainties for HK-distribution parameters ($α$ and $k$) estimated by a BNN, in both simulation and experimental data. In addition, we investigate the relationship between the prediction error and both uncertainties, shedding light on the interplay between these uncertainties and HK parameters errors.

超声成像不确定性贝叶斯神经网络

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