Spatio-temporal functional data analysis for wireless sensor networks data

A new methodology is proposed for the analysis, modeling, and forecasting of data collected from a wireless sensor network. Our approach is considered in the framework of a functional data-analysis paradigm where observed data is represented in a functional form. To reduce dimensionality, functional...

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Detalhes bibliográficos
Autores: Lee, D.J., Zhu, Z., Toscas, P.
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2015
País:España
Recursos:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/120
Acesso em linha:http://hdl.handle.net/20.500.11824/120
Access Level:acceso embargado
Palavra-chave:Forecasting
Functional data analysis
Functional principal components
Non-parametric smoothing
Penalized splines
Wireless sensor networks
Descrição
Resumo:A new methodology is proposed for the analysis, modeling, and forecasting of data collected from a wireless sensor network. Our approach is considered in the framework of a functional data-analysis paradigm where observed data is represented in a functional form. To reduce dimensionality, functional principal components analysis is applied to highlight important underlying characteristics and find patterns of variations. The principal scores are modeled with tensor product smooths that allow for smoothing over space and time. The model is then used for simultaneous spatial prediction at unsampled locations and to forecast future observations. We consider soil temperature data from a wireless sensor network of 50 sensor nodes in two different land types (grassland and forest) observed during 60 consecutive days in private property close to Yass, New South Wales, Australia.