Doubly Decomposing Nonparametric Tensor Regression

@InProceedings{pmlr-v48-imaizumi16,
  title = 	 {Doubly Decomposing Nonparametric Tensor Regression},
  author = 	 {Imaizumi, Masaaki and Hayashi, Kohei},
  booktitle = 	 {Proceedings of The 33rd International Conference on Machine Learning},
  pages = 	 {727--736},
  year = 	 {2016},
  editor = 	 {Balcan, Maria Florina and Weinberger, Kilian Q.},
  volume = 	 {48},
  series = 	 {Proceedings of Machine Learning Research},
  address = 	 {New York, New York, USA},
  month = 	 {20--22 Jun},
  publisher =    {PMLR},
  pdf = 	 {http://proceedings.mlr.press/v48/imaizumi16.pdf},
  url = 	 {https://proceedings.mlr.press/v48/imaizumi16.html},
  abstract = 	 {Nonparametric extension of tensor regression is proposed. Nonlinearity in a high-dimensional tensor space is broken into simple local functions by incorporating low-rank tensor decomposition. Compared to naive nonparametric approaches, our formulation considerably improves the convergence rate of estimation while maintaining consistency with the same function class under specific conditions. To estimate local functions, we develop a Bayesian estimator with the Gaussian process prior. Experimental results show its theoretical properties and high performance in terms of predicting a summary statistic of a real complex network.}
}