Eigenvector Spatial Filtering for Large Data Sets: Fixed and Random Effects Approaches

Date

2018-03-25

ORCID

Journal Title

Journal ISSN

Volume Title

Publisher

Wiley

item.page.doi

Abstract

Eigenvector spatial filtering (ESF) is a spatial modeling approach, which has been applied in urban and regional studies, ecological studies, and so on. However, it is computationally demanding, and may not be suitable for large data modeling. The objective of this study is developing fast ESF and random effects ESF (RE-ESF), which are capable of handling very large samples. To achieve it, we accelerate eigen-decomposition and parameter estimation, which make ESF and RE-ESF slow. The former is accelerated by utilizing the Nystrom extension, whereas the latter is by small matrix tricks. The resulting fast ESF and fast RE-ESF are compared with nonapproximated ESF and RE-ESF in Monte Carlo simulation experiments. The result shows that, while ESF and RE-ESF are slow for several thousand samples, fast ESF and RE-ESF require only several seconds for the samples. It is also suggested that the proposed approaches effectively remove positive spatial dependence in the residuals with very small approximation errors when the number of eigenvectors considered is 200 or more. Note that these approaches cannot deal with negative spatial dependence. The proposed approaches are implemented in an R package "spmoran."

Description

Due to copyright restrictions and/or publisher's policy full text access from Treasures at UT Dallas is limited to current UTD affiliates (use the provided Link to Article).

Keywords

Eigenvectors, Autocorrelation (Statistics), Specifications, Matrix analytic methods, Modeling

item.page.sponsorship

Grants‐in‐Aid for Scientific Research from JSPS (15H04054 and 17K12974)

Rights

©2018 The Ohio State University

Citation