The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
Mar. 12, 2019
Filed:
Aug. 14, 2017
City University of Hong Kong, Kowloon, HK;
City University of Hong Kong, Kowloon, HK;
Abstract
Systems and methods which provide robust low-rank matrix approximation using low-rank matrix factorization in the l-norm space, where p<2 (e.g., 1≤p<2), providing a l-PCA technique are described. For example, embodiments are configured to provide robust low-rank matrix approximation using low-rank matrix factorization in the least absolute deviation (l-norm) space providing a l-PCA technique. Embodiments minimize the l-norm of the residual matrix in the subspace factorization of an observed data matrix, such as to minimize the l-norm of the residual matrix where p=1. The alternating direction method of multipliers (ADMM) is applied according to embodiments to solve the subspace decomposition of the low-rank matrix factorization with respect to the observed data matrix. Iterations of the ADMM may comprise solving a l-subspace decomposition and calculating the proximity operator of the l-norm.