Nonparametric Additive Regression for High-Dimensional Group Testing Data

Autor: Xinlei Zuo, Juan Ding, Junjian Zhang, Wenjun Xiong
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 5, p 686 (2024)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math12050686
Popis: Group testing has been verified as a cost-effective and time-efficient approach, where the individual samples are pooled with a predefined group size for subsequent testing. Recent research has explored the integration of covariate information to improve the modeling of the group testing data. While existing works for high-dimensional data primarily focus on parametric models, this study considers a more flexible generalized nonparametric additive model. Nonlinear components are approximated using B-splines and model estimation under the sparsity assumption is derived employing group lasso. Theoretical results demonstrate that our method selects the true model with a high probability and provides consistent estimates. Numerical studies are conducted to illustrate the good performance of our proposed method, using both simulated and real data.
Databáze: Directory of Open Access Journals
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