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Joint Sparse and Low-Rank Regularized Multi-Task Multi-Linear Regression for Prediction of Infant Brain Development with Incomplete Data

机译:联合稀疏和低级正则化多任务多线性回归,以预先完成数据预测婴儿大脑发展

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Studies involving dynamic infant brain development has received increasing attention in the past few years. For such studies, a complete longitudinal dataset is often required to precisely chart the early brain developmental trajectories. Whereas, in practice, we often face missing data at different time point(s) for different subjects. In this paper, we propose a new method for prediction of infant brain development scores at future time points based on longitudinal imaging measures at early time points with possible missing data. We treat this as a multi-dimensional regression problem, for predicting multiple brain development scores (multi-task) from multiple previous time points (multi-linear). To solve this problem, we propose an objective function with a joint l_1 and low-rank regularization on the mapping weight tensor, to enforce feature selection, while preserving the structural information from multiple dimensions. Also, based on the bag-of-words model, we propose to extract features from longitudinal imaging data. The experimental results reveal that we can effectively predict the brain development scores assessed at the age of four years, using the imaging data as early as two years of age.
机译:涉及动态婴儿大脑发展的研究在过去几年中受到了越来越关注。对于此类研究,通常需要完整的纵向数据集精确地绘制早期的脑发育轨迹。而在实践中,我们经常在不同的时间点面对不同的时间点的数据。在本文中,我们提出了一种新的方法,以在具有可能缺失数据的早期时间点的纵向成像措施的未来时间点之前预测婴儿脑发展得分。我们将其视为多维回归问题,用于预测来自多个先前时间点(多线性)的多个大脑发育得分(多任务)。为了解决这个问题,我们提出了一个目标函数,在映射权重张量上具有关节L_1和低级正则化,以实施特征选择,同时从多维维护结构信息。此外,基于袋式模型,我们建议提取纵向成像数据的特征。实验结果表明,我们可以有效地预测四年龄评估的大脑发育分数,早在两年的年龄早期使用成像数据。

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