ICML 2017poster57 citations

Doubly Accelerated Methods for Faster CCA and Generalized Eigendecomposition

Zeyuan Allen-Zhu, Yuanzhi Li

Abstract

We study k-GenEV, the problem of finding the top k generalized eigenvectors, and k-CCA, the problem of finding the top k vectors in canonical-correlation analysis. We propose algorithms LazyEV and LazyCCA to solve the two problems with running times linearly dependent on the input size and on k. Furthermore, our algorithms are

BibTeX
@InProceedings{pmlr-v70-allen-zhu17b,
  title = 	 {Doubly Accelerated Methods for Faster {CCA} and Generalized Eigendecomposition},
  author =       {Zeyuan Allen-Zhu and Yuanzhi Li},
  booktitle = 	 {Proceedings of the 34th International Conference on Machine Learning},
  pages = 	 {98--106},
  year = 	 {2017},
  editor = 	 {Precup, Doina and Teh, Yee Whye},
  volume = 	 {70},
  series = 	 {Proceedings of Machine Learning Research},
  month = 	 {06--11 Aug},
  publisher =    {PMLR},
  pdf = 	 {http://proceedings.mlr.press/v70/allen-zhu17b/allen-zhu17b.pdf},
  url = 	 {https://proceedings.mlr.press/v70/allen-zhu17b.html},
  abstract = 	 {We study k-GenEV, the problem of finding the top k generalized eigenvectors, and k-CCA, the problem of finding the top k vectors in canonical-correlation analysis. We propose algorithms LazyEV and LazyCCA to solve the two problems with running times linearly dependent on the input size and on k. Furthermore, our algorithms are