Modeling nonstationary processes through dimension expansion
Bornn, L., Shaddick, G. and Zidek, J. V., 2012. Modeling nonstationary processes through dimension expansion. Journal of the American Statistical Association, 107 (497), pp. 281-289.
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In this article, we propose a novel approach to modeling nonstationary spatial fields. The proposed methodworks by expanding the geographic plane over which these processes evolve into higher-dimensional spaces, transforming and clarifying complex patterns in the physical plane. By combining aspects of multidimensional scaling, group lasso, and latent variable models, a dimensionally sparse projection is found in which the originally nonstationary field exhibits stationarity. Following a comparison with existing methods in a simulated environment, dimension expansion is studied on a classic test-bed dataset historically used to study nonstationary models. Following this, we explore the use of dimension expansion in modeling air pollution in the United Kingdom, a process known to be strongly influenced by rural/urban effects, amongst others, which gives rise to a nonstationary field.
|Creators||Bornn, L., Shaddick, G. and Zidek, J. V.|
|Departments||Faculty of Science > Mathematical Sciences|
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