Skip to Main Content
Frequently Asked Questions
Submit an ETD
Global Search Box
Need Help?
Keyword Search
Participating Institutions
Advanced Search
School Logo
Files
File List
HashemiA.the (final).pdf (617.86 KB)
ETD Abstract Container
Abstract Header
PARAMETER CHOICES FOR THE SPLIT BREGMAN METHOD APPLIED TO SIGNAL RESTORATION
Author Info
Hashemi, Seyyed Amirreza
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=akron1469151841
Abstract Details
Year and Degree
2016, Master of Science, University of Akron, Applied Mathematics.
Abstract
This thesis aims to study the parameters involved in the Split Bregmann Method (SBM) when it is applied to signal restoration problems. SBM has been used increasingly on signal processing problems in recent years in particular for compressed sensing problems. SBM is an iterative method which has been used to solve l1-regularized optimization problems. Tikhonov regularization is one of the most common methods to solve discrete ill-posed problem and it appears as one of the steps inside SBM. Four standard different parameter choice methods for Tikhonov regularization were examined in order to find the best values for the regularized and threshold parameters inside SBM: L-curve, generalized cross validation (GCV), discrepancy principle (DP), and unbiased predictive risk estimation (UPRE). Several numerical experiments have been done with signals with sharp edges to compare all the different approaches.
Committee
Malena Espanol (Advisor)
Wilber Patrick (Committee Member)
Kreider Kevin (Committee Member)
Pages
43 p.
Subject Headings
Applied Mathematics
;
Mathematics
Keywords
Signal restoration, Deblurring problem, Split Bregman method, Image processing, regularization parameter
Recommended Citations
Refworks
EndNote
RIS
Mendeley
Citations
Hashemi, S. A. (2016).
PARAMETER CHOICES FOR THE SPLIT BREGMAN METHOD APPLIED TO SIGNAL RESTORATION
[Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1469151841
APA Style (7th edition)
Hashemi, Seyyed Amirreza.
PARAMETER CHOICES FOR THE SPLIT BREGMAN METHOD APPLIED TO SIGNAL RESTORATION.
2016. University of Akron, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=akron1469151841.
MLA Style (8th edition)
Hashemi, Seyyed Amirreza. "PARAMETER CHOICES FOR THE SPLIT BREGMAN METHOD APPLIED TO SIGNAL RESTORATION." Master's thesis, University of Akron, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=akron1469151841
Chicago Manual of Style (17th edition)
Abstract Footer
Document number:
akron1469151841
Download Count:
383
Copyright Info
© 2016, some rights reserved.
PARAMETER CHOICES FOR THE SPLIT BREGMAN METHOD APPLIED TO SIGNAL RESTORATION by Seyyed Amirreza Hashemi is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by University of Akron and OhioLINK.