Spatial regression models over two-dimensional manifolds

• 成果类型: Article
• 署名作者: Ettinger, B.; Perotto, S.; Sangalli, L. M.
• 署名单位: Emory University; Polytechnic University of Milan
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asv069
• 发表日期: 2016
• 页码: 7188
• 关键词: Interpolation; splines

摘要

We propose a regression model for data spatially distributed over general two-dimensional Riemannian manifolds. This is a generalized additive model with a roughness penalty term involving a differential operator computed over the non-planar domain. By virtue of a semiparametric framework, the model allows inclusion of space-varying covariate information. Estimation can be performed by conformally parameterizing the non-planar domain and then generalizing existing models for penalized spatial regression over planar domains. The conformal coordinates and the estimation problem are both computed with a finite element approach.