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2018

Local, algebraic simplifications of Gaussian random fields

Bjorkmo, Theodor, Marsh, M. C. David

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Many applications of Gaussian random fields and Gaussian random processes are limited by the computational complexity of evaluating the probability density function, which involves inverting the relevant covariance matrix.

In this work, we show how that problem can be completely circumvented for the local Taylor coefficients of a Gaussian random field with a Gaussian (or `square exponential') covariance function.
Our results hold for any dimension of the field and to any order in the Taylor expansion.
We present two applications.

Local, algebraic simplifications of Gaussian random fields · Around

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