The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Non-negative tensor factorization with applications to statistics and computer vision
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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Cites
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
Cited by
Chen, C., Zhao, L., Bian, J., Xing, C., & Liu, T.-Y. (2019) · Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining · doi:10.1145/3292500.3330663 · Cited by 73
Online Non-Negative Convolutive Pattern Learning for Speech Signals
Wang, D., Vipperla, R., Evans, N., & Zheng, T. F. (2013) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2012.2222381 · Cited by 25
Metadata
- Authors
- Shashua, A., & Hazan, T.
- Venue
- Proceedings of the 22nd international conference on Machine learning - ICML '05
- Publisher
- ACM Press
- Published
- 2005
- Pages
- 792-799
- OpenAlex
- W2144920235
- Cited by
- 490
- References
- 1
- FWCI
- 4.00
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Shashua, A., & Hazan, T. (2005). Non-negative tensor factorization with applications to statistics and computer vision. Proceedings of the 22nd international conference on Machine learning - ICML '05. https://doi.org/10.1145/1102351.1102451
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