Copula Gaussian multiscale graphical models with application to geophysical modeling

Gaussian Multiscale graphical models are powerful tools to describe high-dimensional spatial data; they capture longrange statistical dependencies among distant sites by introducing coarser scales. However, such models are only applicable to Gaussian data. In this paper, a new class of copula Gaussi...

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Bibliographic Details
Main Authors: Yu, Hang, Dauwels, Justin, Zhang, Xu, Xu, Shiyan, Uy, Wayne Isaac T.
Other Authors: School of Electrical and Electronic Engineering
Format: Conference or Workshop Item
Language:English
Published: 2014
Subjects:
Online Access:https://hdl.handle.net/10356/101423
http://hdl.handle.net/10220/19742
http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6290513&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D6290513
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Institution: Nanyang Technological University
Language: English
Description
Summary:Gaussian Multiscale graphical models are powerful tools to describe high-dimensional spatial data; they capture longrange statistical dependencies among distant sites by introducing coarser scales. However, such models are only applicable to Gaussian data. In this paper, a new class of copula Gaussian multiscale graphical models is proposed which possesses rich modeling capabilities and computational efficiency while eliminating the Gaussian assumption. Numerical results are presented for synthetic data as well as data from a few applications in geophysics - models of sea surface temperature and Asian rainfall patterns.