Robust Kronecker-decomposable component analysis for low-rank modeling

Conference paper


Bahri, M., Panagakis, Y. and Zafeiriou, S. 2017. Robust Kronecker-decomposable component analysis for low-rank modeling. 2017 IEEE International Conference on Computer Vision (ICCV). Venice, Italy 22 - 29 Oct 2017 IEEE. pp. 3372-3381 https://doi.org/10.1109/ICCV.2017.363
TypeConference paper
TitleRobust Kronecker-decomposable component analysis for low-rank modeling
AuthorsBahri, M., Panagakis, Y. and Zafeiriou, S.
Abstract

Dictionary learning and component analysis are part of one of the most well-studied and active research fields, at the intersection of signal and image processing, computer vision, and statistical machine learning. In dictionary learning, the current methods of choice are arguably K-SVD and its variants, which learn a dictionary (i.e., a decomposition) for sparse coding via Singular Value Decomposition. In robust component analysis, leading methods derive from Principal Component Pursuit (PCP), which recovers a low-rank matrix from sparse corruptions of unknown magnitude and support. However, K-SVD is sensitive to the presence of noise and outliers in the training set. Additionally, PCP does not provide a dictionary that respects the structure of the data (e.g., images), and requires expensive SVD computations when solved by convex relaxation. In this paper, we introduce a new robust decomposition of images by combining ideas from sparse dictionary learning and PCP. We propose a novel Kronecker-decomposable component analysis which is robust to gross corruption, can be used for low-rank modeling, and leverages separability to solve significantly smaller problems. We design an efficient learning algorithm by drawing links with a restricted form of tensor factorization. The effectiveness of the proposed approach is demonstrated on real-world applications, namely background subtraction and image denoising, by performing a thorough comparison with the current state of the art.

LanguageEnglish
Conference2017 IEEE International Conference on Computer Vision (ICCV)
Page range3372-3381
Proceedings Title2017 IEEE International Conference on Computer Vision (ICCV)
ISSN
Electronic2380-7504
ISBN
Electronic9781538610329
Hardcover9781538610336
PublisherIEEE
Publication dates
Print01 Oct 2017
Online17 Dec 2017
Publication process dates
Deposited07 Mar 2018
Accepted17 Jul 2017
Output statusPublished
Publisher's version
Copyright Statement

© 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Digital Object Identifier (DOI)https://doi.org/10.1109/ICCV.2017.363
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