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arXiv 2007.01929cs.LGeess.SPstat.ML
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一种耦合流形优化框架用于函数连通集和行为数据空间的联合建模

A Coupled Manifold Optimization Framework to Jointly Model the Functional Connectomics and Behavioral Data Spaces

Johns Hopkins University(约翰斯·霍普金斯大学);Kennedy Krieger Institute(肯尼迪·克里格研究所);Johns Hopkins School of Medicine(约翰斯·霍普金斯医学院)

Niharika Shimona D'Souza, Mary Beth Nebel, Nicholas Wymbs, Stewart Mostofsky, Archana Venkataraman

摘要:

由于两个不同但相关的数据域之间复杂的相互作用,将功能连接组学与行为联系起来的问题极具挑战性。我们提出了一个耦合流形优化框架,该框架将fMRI数据投影到一个低维矩阵流形上。患者特异性负载经由第二非线性流形同时映射到感兴趣的行为测量上。通过利用内核技巧,我们可以在潜在的无限维空间上进行优化,而无需显式计算嵌入。与传统的流形学习不同,传统的流形学习假设一个固定的输入表示,我们的框架直接优化了预测行为的嵌入方向。我们的优化算法结合了近端梯度下降和信赖域方法,具有良好的收敛性保证。我们使用三种不同的临床严重程度的措施,从58例自闭症谱系障碍患者的静息状态fMRI验证我们的框架。我们的方法优于传统的表示学习技术在交叉验证的设置,从而证明了我们的耦合目标的预测能力。

英文摘要:

The problem of linking functional connectomics to behavior is extremely challenging due to the complex interactions between the two distinct, but related, data domains. We propose a coupled manifold optimization framework which projects fMRI data onto a low dimensional matrix manifold common to the cohort. The patient specific loadings simultaneously map onto a behavioral measure of interest via a second, non-linear, manifold. By leveraging the kernel trick, we can optimize over a potentially infinite dimensional space without explicitly computing the embeddings. As opposed to conventional manifold learning, which assumes a fixed input representation, our framework directly optimizes for embedding directions that predict behavior. Our optimization algorithm combines proximal gradient descent with the trust region method, which has good convergence guarantees. We validate our framework on resting state fMRI from fifty-eight patients with Autism Spectrum Disorder using three distinct measures of clinical severity. Our method outperforms traditional representation learning techniques in a cross validated setting, thus demonstrating the predictive power of our coupled objective.

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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