학술논문
Latent Schatten TT Norm for Tensor Completion
Document Type
Conference
Author
Source
ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) Acoustics, Speech and Signal Processing (ICASSP), ICASSP 2019 - 2019 IEEE International Conference on. :2922-2926 May, 2019
Subject
Language
ISSN
2379-190X
Abstract
Tensor completion arouses much attention in signal processing and machine learning. The tensor train (TT) decomposition has shown better performances than the Tucker decomposition in image and video inpainting. In this paper, we propose a novel tensor completion model based on a newly defined latent Schatten TT norm. Then, the statistical performance is analyzed by establishing a non-asymptotic upper bound on the estimation error. Further, a scalable algorithm is developed to efficiently solve the model. Experimental results of color image inpainting demonstrate that the proposed norm has promising performances compared to other variants of Schatten norm.