A greedy search algorithm with tree pruning for sparse signal recovery

Jaeseok Lee, Suhyuk Kwon, Byonghyo Shim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper, we propose a new sparse recovery algorithm referred to as the matching pursuit with a tree pruning (TMP) that performs efficient combinatoric search with the aid of greedy tree pruning. Two key ingredients of the TMP algorithm are pre-selection to put a restriction on the indices of columns in Φ being investigated and tree pruning to avoid the investigation of unpromising paths in the search. In the noisy setting, we show that TMP identifies the support (index set of nonzero elements) accurately when the signal power is larger than the constant multiple of noise power. In the empirical simulations, we confirm this results by showing that TMP performs close to an ideal estimator (often called Oracle estimate) for high signal-to-noise ratio (SNR) regime.

Original languageEnglish
Title of host publicationIEEE International Symposium on Information Theory - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1847-1851
Number of pages5
ISBN (Print)9781479951864
DOIs
Publication statusPublished - 2014 Jan 1
Event2014 IEEE International Symposium on Information Theory, ISIT 2014 - Honolulu, HI, United States
Duration: 2014 Jun 292014 Jul 4

Other

Other2014 IEEE International Symposium on Information Theory, ISIT 2014
CountryUnited States
CityHonolulu, HI
Period14/6/2914/7/4

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation
  • Theoretical Computer Science
  • Information Systems

Fingerprint Dive into the research topics of 'A greedy search algorithm with tree pruning for sparse signal recovery'. Together they form a unique fingerprint.

  • Cite this

    Lee, J., Kwon, S., & Shim, B. (2014). A greedy search algorithm with tree pruning for sparse signal recovery. In IEEE International Symposium on Information Theory - Proceedings (pp. 1847-1851). [6875153] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2014.6875153