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Graph Laplacian based Gaussian Process

These are the codes of the Graph Laplacian based Gaussian Process(GL-GP) algorithm and the datasets in the paper "GRAPH BASED GAUSSIAN PROCESSES ON RESTRICTED DOMAINS" by David B Dunson, Hau-Tieng Wu and Nan Wu

Explanation to files

1.CovMatrix.m

The Matlab code of the GL-GP for predictions.

  1. Nys.m

The code of Nystrom type extension. Suppose the GL-GP covariance parameters are determined by a small number of labeled points, the corresponding response variables, and a small number of unlabelled points. Nys.m can extend the prediction to a large number of unlabeled points without determining the GL-GP parameters again.

  1. hand.mat

The dataset in the Raynauld disease example.

  1. hand.txt

The explanation of the variables in the dataset "hand.mat".

  1. spiral example.txt

The Matlab code to generate a random dataset and a regression function on a spiral in R^2.

  1. spiral.mat

The dataset on the spiral that we use in the paper.

  1. two spheres example.txt

The Matlab code to generate a random dataset and a regression function on the spheres example in R^3.

  1. two spheres.mat

The dataset on the two spheres example that we use in the paper.

Acknowledgement

David B Dunson and Nan Wu are supported by the Lifeplan project. The Lifeplan project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 856506).

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