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L0soft: ℓ0 minimization via soft thresholding
Sharif University of Technology,Electrical Engineering Department,Tehran,Iran.
Sharif University of Technology,Electrical Engineering Department,Tehran,Iran.
Sharif University of Technology,Electrical Engineering Department,Tehran,Iran.
KTH, School of Electrical Engineering and Computer Science (EECS), Centres, ACCESS Linnaeus Centre. KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Information Science and Engineering.ORCID iD: 0000-0003-2638-6047
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2019 (English)In: Proceedings of the 27th European Signal Processing Conference (EUSIPCO), 2019Conference paper, Published paper (Refereed)
Abstract [en]

We propose a new algorithm for finding sparse solution of a linear system of equations using I 0 minimization. The proposed algorithm relies on approximating the non-smooth I 0 (pseudo) norm with a differentiable function. Unlike other approaches, we utilize a particular definition of I 0 norm which states that the I 0 norm of a vector can be computed as the I 1 norm of its sign vector. Then, using a smooth approximation of the sign function, the problem is converted to I 1 minimization. This problem is solved via iterative proximal algorithms. Our simulations on both synthetic and real data demonstrate the promising performance of the proposed scheme.

Place, publisher, year, edition, pages
2019.
National Category
Signal Processing
Identifiers
URN: urn:nbn:se:kth:diva-268239DOI: 10.23919/EUSIPCO.2019.8903024Scopus ID: 2-s2.0-85075604327OAI: oai:DiVA.org:kth-268239DiVA, id: diva2:1423773
Conference
27th European Signal Processing Conference (EUSIPCO), Sep 2-6, 2019
Note

QC 20200415

Available from: 2020-04-15 Created: 2020-04-15 Last updated: 2020-04-15Bibliographically approved

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Chatterjee, SaikatSkoglund, Mikael

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