NDLI: WarmL1: A warm-start homotopy-based reconstruction algorithm for sparse signals

Content Provider	IEEE Xplore Digital Library
Author	Tien-Ju Yang Yi-Min Tsai Chung-Te Li Liang-Gee Chen
Copyright Year	2012
Description	Author affiliation: DSP/IC Design Lab, Graduate Institute of Electronics Engineering, National Taiwan University, Taiwan (Tien-Ju Yang; Yi-Min Tsai; Chung-Te Li; Liang-Gee Chen)
Abstract	A sparse signal can be reconstructed from a small amount of random and linear measurements by solving a system of underdetermined equations. In this paper, we study the reconstruction problem while the system undergoes dynamic modifications. Resolving this problem from scratch requires high computational efforts. Therefore, we propose an efficient homotopy-based reconstruction algorithm with warmstart, named WarmL1. WarmL1 quickly updates the previous solution to the desired one. Based on the concept of homotopy, WarmL1 breaks the reconstruction procedure into simple steps, and solves the problem iteratively. Four possible applications are presented and discussed to demonstrate the usage of WarmL1 for different warm-start situations. Experiments on these applications are performed. The results show that WarmL1 achieves 3.2× to 37.5× speeding up or up to 1/5100 l2-error at the same computational cost compared to related works.
Starting Page	2226
Ending Page	2230
File Size	150895
Page Count	5
File Format	PDF
ISBN	9781467325806
ISSN	21578117
e-ISBN	9781467325790
e-ISBN	9781467325783
DOI	10.1109/ISIT.2012.6283849
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sensors Image reconstruction Vectors Computational efficiency Matrices Equations Mathematical model
Content Type	Text
Resource Type	Article

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