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Orthogonalized Kernel Debiased Machine Learning for Multimodal Data Analysis

delete2022-02-03
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OA
AI
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Xiaowu Dai
L
Lexin Li *
DOI:10.1080/01621459.2021.2013851delete
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摘要

摘要

En 中文
Multimodal imaging has transformed neuroscience research. While it presents unprecedented opportunities, it also imposes serious challenges. Particularly, it is difficult to combine the merits of the interpretability attributed to a simple association model with the flexibility achieved by a highly adaptive nonlinear model. In this article, we propose an orthogonalized kernel debiased machine learning approach, which is built upon the Neyman orthogonality and a form of decomposition orthogonality, for multimodal data analysis. We target the setting that naturally arises in almost all multimodal studies, where there is a primary modality of interest, plus additional auxiliary modalities. We establish the root-N-consistency and asymptotic normality of the estimated primary parameter, the semi-parametric estimation efficiency, and the asymptotic validity of the confidence band of the predicted primary modality effect. Our proposal enjoys, to a good extent, both model interpretability and model flexibility. It is also considerably different from the existing statistical methods for multimodal data integration, as well as the orthogonality-based methods for high-dimensional inferences. We demonstrate the efficacy of our method through both simulations and an application to a multimodal neuroimaging study of Alzheimer's disease. Supplementary materials for this article are available online.
Keyword:
Basis expansion
High-dimensional inference
Multimodal data integration
Neuroimaging analysis
Neyman orthogonality
Reproducing kernel Hilbert space

期刊

J
Journal of the American Statistical Association
IF:
3
论文数:
5.2K
被引数:
4.8W

机构

University of California System 封面图
University of California System
学者数:
37.7W
论文数: 33.8W
被引数: 6.6K
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