Tensor-Tensor Product Toolbox
Machine Learning
2018-06-21 v2 Artificial Intelligence
Computer Vision and Pattern Recognition
Machine Learning
Mathematical Software
Abstract
The tensor-tensor product (t-product) [M. E. Kilmer and C. D. Martin, 2011] is a natural generalization of matrix multiplication. Based on t-product, many operations on matrix can be extended to tensor cases, including tensor SVD, tensor spectral norm, tensor nuclear norm [C. Lu, et al., 2018] and many others. The linear algebraic structure of tensors are similar to the matrix cases. We develop a Matlab toolbox to implement several basic operations on tensors based on t-product. The toolbox is available at https://github.com/canyilu/tproduct.
Cite
@article{arxiv.1806.07247,
title = {Tensor-Tensor Product Toolbox},
author = {Canyi Lu},
journal= {arXiv preprint arXiv:1806.07247},
year = {2018}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1804.03728. Carnegie Mellon University