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A Hybrid Truncated Norm Regularization Method for Matrix Completion
Author: Release time:2019-03-19 Number of clicks:

Title: A Hybrid Truncated Norm Regularization Method for Matrix Completion

Speaker: Hong Li

Affiliation: Huazhong University of Science and Technology

Time: 2019-03-22 14:30-15:30

Venue: Room 201 Lecture Hall

abstract:

Matrix completion has been widely used in image processing, in which the popular approach is to formulate this issue as a general low-rank matrix approximation problem. This paper proposes a novel regularization method referred to as truncated Frobenius norm (TFN), and presents a hybrid truncated norm (HTN) model combining the truncated nuclear norm and truncated Frobenius norm for solving matrix completion problems. To address this model, a simple and effective two step iteration algorithm is designed. Further, an adaptive way of changing the penalty parameter is introduced to reduce the computational cost. Also, the convergence of the proposed method is discussed and proved mathematically. The proposed approach could not only effectively improve the recovery performance but also greatly promote the stability of the model. Meanwhile, the use of this new method can eliminate large variations that exist when estimating complex models, and could achieve great successes in matrix completion. Experiments results on the synthetic data, real-world images as well as recommendation systems, particularly the use of the statistical analysis strategy, verify the effectiveness and superiority of the proposed method, i.e. the proposed method is more stable and effective than other state-of-the-art approaches.



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