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arXiv 2310.03353cs.AIcs.LG
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带单调性约束的深度几何学习用于阿尔茨海默病进展研究

Deep Geometric Learning with Monotonicity Constraints for Alzheimer's Disease Progression

Korea University(高丽大学)

Seungwoo Jeong, Wonsik Jung, Junghyo Sohn, Heung-Il Suk

AI总结:

针对阿尔茨海默病进展预测中现有深度学习方法未充分考虑几何属性、ODE-RGRU易出现特征反转的问题,提出结合拓扑空间偏移、ODE-RGRU和轨迹估计的几何学习方法,加入单调性约束训练算法,经实验验证有效。

摘要:

阿尔茨海默病(AD)是一种毁灭性的神经退行性疾病,会先于渐进性且不可逆的痴呆发作;因此,预测其随时间的进展对临床诊断和治疗至关重要。大量研究采用结构磁共振成像(MRI)对AD进展建模,聚焦三个核心方面:(i)时间变异性、(ii)不完整观测以及(iii)时间几何特征。然而,针对数据变异性和稀疏性的深度学习方法尚未充分考虑其固有的几何属性。基于常微分方程的几何建模方法(ODE-RGRU)近期成为一种有前景的时间序列数据建模策略,它在黎曼空间中将循环神经网络与常微分方程相结合。尽管取得了一定成果,ODE-RGRU在从不完整样本外推正定对称度量时存在局限性,会导致特征反转现象,这在临床场景中问题尤为突出。为此,本研究提出一种新型几何学习方法,通过结合三个模块对纵向MRI生物标志物和认知评分建模:拓扑空间偏移、ODE-RGRU以及轨迹估计。我们还开发了一种将流形映射与单调性约束相结合的训练算法,以反映测量转变的不可逆性。我们通过在规则和不规则设置下预测随时间变化的临床标签和认知评分,验证了所提方法的有效性。此外,我们通过消融研究对所提框架进行了全面分析。

英文摘要:

Alzheimer's disease (AD) is a devastating neurodegenerative condition that precedes progressive and irreversible dementia; thus, predicting its progression over time is vital for clinical diagnosis and treatment. Numerous studies have implemented structural magnetic resonance imaging (MRI) to model AD progression, focusing on three integral aspects: (i) temporal variability, (ii) incomplete observations, and (iii) temporal geometric characteristics. However, deep learning-based approaches regarding data variability and sparsity have yet to consider inherent geometrical properties sufficiently. The ordinary differential equation-based geometric modeling method (ODE-RGRU) has recently emerged as a promising strategy for modeling time-series data by intertwining a recurrent neural network and an ODE in Riemannian space. Despite its achievements, ODE-RGRU encounters limitations when extrapolating positive definite symmetric metrics from incomplete samples, leading to feature reverse occurrences that are particularly problematic, especially within the clinical facet. Therefore, this study proposes a novel geometric learning approach that models longitudinal MRI biomarkers and cognitive scores by combining three modules: topological space shift, ODE-RGRU, and trajectory estimation. We have also developed a training algorithm that integrates manifold mapping with monotonicity constraints to reflect measurement transition irreversibility. We verify our proposed method's efficacy by predicting clinical labels and cognitive scores over time in regular and irregular settings. Furthermore, we thoroughly analyze our proposed framework through an ablation study.

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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