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Pavel Erofeev edited GP.tex
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\subsection{Gaussain Processes}
\label{sec:GaussinaProcesses}
In this paper we consider a specific class of regression functions $\mathcal{GP}$ -- Gaussian Processes. Any process
$g$\in\mathcal{GP} from this class $g\in\mathcal{GP}$ is uniqely defined by its mean
function $\mu(\mathbf{x}) =
\mathbb{E}[f(\mathbf{x})]$ \mathrm{E}\left[f(\mathbf{x})\right]$ and covariance $\mathrm{Cov}(y, y\prime) = k(\mathbf{x}, \mathbf{x}\prime) = \mathrm{E}\left[(f(\mathbf{x}) - \mu(\mathbf{x})) (f(\mathbf{x}\prime) - \mu(\mathbf{x}\prime))\right]$ functions.
Гауссовский процесс является одним из возможных способов задания распределения на пространстве функций.