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Performing Sparse Regularization and Dimension Reduction Simultaneously in Multimodal Data Fusion

机译:在多峰数据融合中同时执行稀疏正则化和降维

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摘要

Collecting multiple modalities of neuroimaging data on the same subject is increasingly becoming the norm in clinical practice and research. Fusing multiple modalities to find related patterns is a challenge in neuroimaging analysis. Canonical correlation analysis (CCA) is commonly used as a symmetric data fusion technique to find related patterns among multiple modalities. In CCA-based data fusion, principal component analysis (PCA) is frequently applied as a preprocessing step to reduce data dimension followed by CCA on dimension-reduced data. PCA, however, does not differentiate between informative voxels from non-informative voxels in the dimension reduction step. Sparse PCA (sPCA) extends traditional PCA by adding sparse regularization that assigns zero weights to non-informative voxels. In this study, sPCA is incorporated into CCA-based fusion analysis and applied on neuroimaging data. A cross-validation method is developed and validated to optimize the parameters in sPCA. Different simulations are carried out to evaluate the improvement by introducing sparsity constraint to PCA. Four fusion methods including sPCA+CCA, PCA+CCA, parallel ICA and sparse CCA were applied on structural and functional magnetic resonance imaging data of mild cognitive impairment subjects and normal controls. Our results indicate that sPCA significantly can reduce the impact of non-informative voxels and lead to improved statistical power in uncovering disease-related patterns by a fusion analysis.
机译:收集关于同一主题的多种神经影像数据的方法越来越成为临床实践和研究中的常态。在神经影像分析中,融合多种模态以找到相关的模式是一项挑战。典型相关分析(CCA)通常用作对称数据融合技术,以在多种模态之间找到相关模式。在基于CCA的数据融合中,主成分分析(PCA)通常被用作预处理步骤,以减少数据维数,然后对缩减维数据进行CCA。但是,PCA在降维步骤中无法区分信息性体素和非信息性体素。稀疏PCA(sPCA)通过添加稀疏正则化扩展了传统PCA,该稀疏正则化将零权重分配给非信息性体素。在这项研究中,将sPCA纳入基于CCA的融合分析中,并应用于神经影像数据。开发并验证了交叉验证方法以优化sPCA中的参数。通过将稀疏约束引入PCA,进行了不同的仿真以评估改进。对轻度认知障碍受试者和正常对照的结构和功能磁共振成像数据应用了sPCA + CCA,PCA + CCA,平行ICA和稀疏CCA四种融合方法。我们的结果表明,sPCA可以显着减少非信息性体素的影响,并通过融合分析提高发现疾病相关模式的统计能力。

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