A NEW FIXED POINT METHOD FOR L1-NORM REGULARIZATION PROBLEMS IN COMPRESSIVE SENSING

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ROSTAMI M.; ESMAEILI H.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Seminar Paper

Paper Information

Seminar: IRANIAN CONFERENCE ON APPLIED MATHEMATICS
Year:2013 | Issue:5

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Title

A NEW FIXED POINT METHOD FOR L1-NORM REGULARIZATION PROBLEMS IN COMPRESSIVE SENSING

Author(s)

ROSTAMI M. | ESMAEILI H. | Issue Writer Certificate

Keywords

FIXED POINT

COMPRESSIVE SENSING

SHRINKAGE OPERATOR

L1-REGULARIZATION PROBLEM

Abstract

IN THIS STUDY, WE PRESENT A NEW FIXED POINT METHOD FOR L1-NORM REGULARIZATION PROBLEMS ARISING FROM SPARSE SOLUTION RECOVERY IN COMPRESSIVE SENSING. THE PROBLEM IS REFORMULATE AS AN EQUIVALENT NON-SMOOTH EQUATION, THEN THE COMBINATION OF BOTH AN EFFECTIVE TRUST-REGION AND A FIXED POINT STRATEGY ARE USED TO SOLVE IT. MODIFY THE SHRINKAGE PARAMETER BASED ON DOGLEG TECHNIQUE SHOW THAT THE NEW ALGORITHM IS MORE EFFICIENT AND ROBUSTNESS. THE PROPOSED APPROACH IS GLOBAL CONVERGENCE AND THE RATE OF CONVERGENCE IS Q-LINEAR.

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APA: Copy

ROSTAMI, M., & ESMAEILI, H.. (2013). A NEW FIXED POINT METHOD FOR L¹-NORM REGULARIZATION PROBLEMS IN COMPRESSIVE SENSING. IRANIAN CONFERENCE ON APPLIED MATHEMATICS. SID. https://sid.ir/paper/939319/en

Vancouver: Copy

ROSTAMI M., ESMAEILI H.. A NEW FIXED POINT METHOD FOR L¹-NORM REGULARIZATION PROBLEMS IN COMPRESSIVE SENSING. 2013. Available from: https://sid.ir/paper/939319/en

IEEE: Copy

M. ROSTAMI, and H. ESMAEILI, “A NEW FIXED POINT METHOD FOR L¹-NORM REGULARIZATION PROBLEMS IN COMPRESSIVE SENSING,” presented at the IRANIAN CONFERENCE ON APPLIED MATHEMATICS. 2013, [Online]. Available: https://sid.ir/paper/939319/en

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