2005 NonNegativeTensorFactorizationw
- (Shashua & Hazan, 2005) ⇒ Amnon Shashua, and Tamir Hazan. (2005). “Non-negative Tensor Factorization with Applications to Statistics and Computer Vision.” In: Proceedings of the 22nd International Conference on Machine learning. ISBN:1-59593-180-5 doi:10.1145/1102351.1102451
Subject Headings: Tensor Factorization Algorithm, Non-Negative Matrix Factorization.
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Abstract
We derive algorithms for finding a non-negative n-dimensional tensor factorization (n-NTF) which includes the non-negative matrix factorization (NMF) as a particular case when n = 2. We motivate the use of n-NTF in three areas of data analysis: (i) connection to latent class models in statistics, (ii) sparse image coding in computer vision, and (iii) model selection problems. We derive a "direct" positive-preserving gradient descent algorithm and an alternating scheme based on repeated multiple rank-1 problems.
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Author | volume | Date Value | title | type | journal | titleUrl | doi | note | year | |
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2005 NonNegativeTensorFactorizationw | Amnon Shashua Tamir Hazan | Non-negative Tensor Factorization with Applications to Statistics and Computer Vision | 10.1145/1102351.1102451 | 2005 |