Paper Info
Title
Multi-Scale Process Modelling and Distributed Computation for Spatial Data
Abstract
Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that modelling and prediction using infinite-dimensional process models is not possible with large data sets, and that both approximate models and, often, approximate-inference methods, are needed. The problem of fitting simple global spatial models to large data sets has been solved through the likes of multi-resolution approximations and nearest-neighbour techniques. Here we tackle the next challenge, that of fitting complex, nonstationary, multi-scale models to large data sets. We propose doing this through the use of superpositions of spatial processes with increasing spatial scale and increasing degrees of nonstationarity. Computation is facilitated through the use of Gaussian Markov random fields and parallel Markov chain Monte Carlo based on graph colouring. The resulting model allows for both distributed computing and distributed data. Importantly, it provides opportunities for genuine model and data scalability and yet is still able to borrow strength across large spatial scales. We illustrate a two-scale version on a data set of sea-surface temperature containing on the order of one million observations, and compare our approach to state-of-the-art spatial modelling and prediction methods.
Year
DOI
Venue
2020
10.1007/s11222-020-09962-6
STATISTICS AND COMPUTING
Keywords
DocType
Volume
Graph colouring,Markov chain Monte Carlo,Parallel sampling,Spatial statistics
Journal
30
Issue
ISSN
Citations 
6
0960-3174
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Andrew Zammit Mangion1112.65
Jonathan Rougier2217.53