1. Data-Driven Spatio-Temporal Modeling Using the Integro-Difference Equation.
- Author
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Dewar, Michael, Scerri, Kenneth, and Kadirkamanathan, Visakan
- Subjects
- *
DYNAMO (Computer program language) , *ALGORITHMS , *IDE (Standard) , *STATE-space methods , *SIGNAL processing - Abstract
A continuous-in-space, discrete-in-time dynamic spatio-temporal model known as the Integro-Difference Equation (IDE) model is presented in the context of data-driven modeling. A novel decomposition of the IDE is derived, leading to state-space representation that does not couple the number of states with the number of observation locations or the number of parameters. Based on this state-space model, an expectation-maximization (EM) algorithm is developed in order to jointly estimate the IDE model's spatial field and spatial mixing kernel. The resulting modeling framework is demonstrated on a set of examples. [ABSTRACT FROM AUTHOR]
- Published
- 2009
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