yuki-koyama / mathtoolbox

Mathematical tools (interpolation, dimensionality reduction, optimization, etc.) written in C++11 with Eigen

Home Page:https://yuki-koyama.github.io/mathtoolbox/

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The GPR demo sometimes fails to find appropriate hyperparameters

yuki-koyama opened this issue · comments

The current demo uses maximum likelihood estimation for hyperparameters, but it fails sometimes. Especially, the length-scale hyperparameter in the ARD squared exponential kernel becomes unrealistically small, resulting in a "no relevance" kernel matrix.

A possible fix is to use maximum a posteriori estimation with an appropriate prior assumption for the hyperparameters.