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GT-COPR: Graph-Regularized Tensor Completion from Observed Pairwise Relations

Summary of the package

We provide MATLAB codes for GT-CORP algorithm in the following files:

  • GTCOPR.m: main function of the GT-COPR algorithm
  • tensor_R.m: convert the pairwise relations to tensors
  • buil_AUX.m: initialize the auxiliary variables
  • update_AUX.m: update the auxiliary variables
  • update_collap.m: compute the derivatives of the first objective which involves tensor collapsing
  • update_graphReg.m: compute the derivatives of the second objective which involves graph regularization
  • toy.m: a drive file to demo GT-COPR on a random dataset

Note: the tensor framework of our GT-COPR implementation is based on MATLAB Tensor Toolbox, please install/download it first.

References

1: Zhuliu Li, Wei Zhang, R Stephanie Huang, and Rui Kuang. "Learning a Low-rank Tensor of Pharmacogenomic Multi-relations from Biomedical Networks." IEEE International Conference on Data Mining (ICDM), 2019.

2: Brett W. Bader, Tamara G. Kolda and others. MATLAB Tensor Toolbox Version 2.6, Available online, February 2015. (URL: http://www.sandia.gov/~tgkolda/TensorToolbox/).

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