Tensor Completion Through Multiple Kronecker Product Decomposition

0392900 - ÚTIA 2014 RIV CA eng C - Konferenční příspěvek (zahraniční konf.)
Phan, A. H. - Cichocki, A. - Tichavský, Petr - Luta, G. - Brockmeier, A.
Tensor Completion Through Multiple Kronecker Product Decomposition.
2013 IEEE International Conference on Acoustics, Speech, and Signal Processing ICASSP 2013. Vancouver: IEEE, 2013, s. 3233-3237. ISBN 978-1-4799-0355-9.
[IEEE International Conference on Acoustics, Speech, and Signal Processing ICASSP 2013. Vancouver (CA), 27.05.2013-31.05.2013]
Grant CEP: GA ČR GA102/09/1278
Institucionální podpora: RVO:67985556
Klíčová slova: tensor factorization * Kronecker product * image completion
Kód oboru RIV: BB - Aplikovaná statistika, operační výzkum
http://library.utia.cas.cz/separaty/2013/SI/tichavsky-tensor completion through multiple kronecker product decomposition.pdf

We propose a novel decomposition approach to impute missing values in tensor data. The method uses smaller scale multiway patches to model the whole data or a small volume encompassing the observed missing entries. Simulations on color images show that our method can recover color images using only 5-10% of pixels, and outperforms other available tensor completion methods.
Trvalý link: http://hdl.handle.net/11104/0221809