Title
Transduction with Matrix Completion Using Smoothed Rank Function.
Abstract
In this paper, we propose two new algorithms for transduction with Matrix Completion (MC) problem. The joint MC and prediction tasks are addressed simultaneously to enhance the accuracy, i.e., the label matrix is concatenated to the data matrix forming a stacked matrix. Assuming the data matrix is of low rank, we propose new recommendation methods by posing the problem as a constrained minimization of the Smoothed Rank Function (SRF). We provide convergence analysis for the proposed algorithms. The simulations are conducted on real datasets in two different scenarios of randomly missing pattern with and without block loss. The results confirm that the accuracy of our proposed methods outperforms those of state-of-the-art methods even up to 10% in low observation rates for the scenario without block loss. Our accuracy in the latter scenario, is comparable to state-of-the-art methods while the complexity of the proposed algorithms are reduced up to 4 times.
Year
Venue
Field
2018
arXiv: Learning
Convergence (routing),Mathematical optimization,Matrix completion,Matrix (mathematics),Low - observation,Minification,Concatenation,Mathematics
DocType
Volume
Citations 
Journal
abs/1805.07561
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Ashkan Esmaeili121.85
Kayhan Behdin201.01
Mohammad Amin Fakharian300.68
Farokh Marvasti457372.71