Gaussian Processes of Nonlinear Diffusion Filtering
Ramunas Girdziusas and Jorma Laaksonen
In: International Joint Conference on Neural Networks, 31 Jul - 4 Aug 2005, Montreal, Canada.
Nonlinear diffusion filtering can be improved if viewed as Bayesian Gaussian process regression. We relate the covariance functions of the diffusion process outcome to the spatial diffusion operator and show how Bayesian evidence criterion can be utilized to determine the parameters of the nonlinear diffusivity and the optimal diffusion stopping time. Computational example is given where the nonlinear diffusion filtering outperforms typical Gaussian process regression.