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Leffler, Klara
Publications (4 of 4) Show all publications
Leffler, K., Zhou, Z. & Yu, J. (2019). An extended block restricted isometry property for sparse recovery with non-Gaussian noise. Journal of Computational Mathematics
Open this publication in new window or tab >>An extended block restricted isometry property for sparse recovery with non-Gaussian noise
2019 (English)In: Journal of Computational Mathematics, ISSN 0254-9409, E-ISSN 1991-7139Article in journal (Refereed) Epub ahead of print
Abstract [en]

We study the recovery conditions of weighted mixed ℓ2/ℓp minimization for block sparse signal reconstruction from compressed measurements when partial block supportinformation is available. We show theoretically that the extended block restricted isometry property can ensure robust recovery when the data fidelity constraint is expressed in terms of an ℓq norm of the residual error, thus establishing a setting wherein we arenot restricted to Gaussian measurement noise. We illustrate the results with a series of numerical experiments.

Place, publisher, year, edition, pages
Global Science Press, 2019
Keywords
Compressed sensing, block sparsity, partial support information, signal reconstruction, convex optimization
National Category
Signal Processing Probability Theory and Statistics Computational Mathematics
Research subject
Mathematical Statistics
Identifiers
urn:nbn:se:umu:diva-163366 (URN)10.4208/jcm.1905-m2018-0256 (DOI)
Funder
Swedish Research Council
Available from: 2019-09-17 Created: 2019-09-17 Last updated: 2019-11-19
Leffler, K., Axelsson, J., Larsson, A., Häggström, I. & Yu, J. (2019). Sharper Positron Emission Tomography: Intelligent Data Sampling to Promote Accelerated Medical Imaging. In: : . Paper presented at Winter Conference in Statistics 2019 - Machine Learning, March 10-14, 2019, Hemavan, Sweden.
Open this publication in new window or tab >>Sharper Positron Emission Tomography: Intelligent Data Sampling to Promote Accelerated Medical Imaging
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2019 (English)Conference paper, Poster (with or without abstract) (Other academic)
National Category
Probability Theory and Statistics Medical Image Processing
Research subject
Mathematical Statistics
Identifiers
urn:nbn:se:umu:diva-157665 (URN)
Conference
Winter Conference in Statistics 2019 - Machine Learning, March 10-14, 2019, Hemavan, Sweden
Projects
Statistical modelling and intelligent data sampling in MRI and PET measurements for cancer therapy assessment
Funder
Swedish Research Council, 340-2013-534
Available from: 2019-03-28 Created: 2019-03-28 Last updated: 2019-04-12Bibliographically approved
Leffler, K., Zhou, Z. & Yu, J. (2018). An Extended Block Restricted Isometry Property for Sparse Recovery with Non-Gaussian Noise. In: : . Paper presented at COMPSTAT 2018 - August 28-31, Iasi, Rumania.
Open this publication in new window or tab >>An Extended Block Restricted Isometry Property for Sparse Recovery with Non-Gaussian Noise
2018 (English)Conference paper, Poster (with or without abstract) (Refereed)
Keywords
Compressive sensing, block restricted isometry property, sparse recovery, non-Gaussian noise
National Category
Probability Theory and Statistics Signal Processing Medical Image Processing
Research subject
Mathematical Statistics
Identifiers
urn:nbn:se:umu:diva-154629 (URN)
Conference
COMPSTAT 2018 - August 28-31, Iasi, Rumania
Projects
Statistical modelling and intelligent data sampling in MRI and PET measurements for cancer therapy assessment
Funder
Swedish Research Council, 340-2013-534
Available from: 2018-12-20 Created: 2018-12-20 Last updated: 2018-12-20
Leffler, K., Häggström, I. & Yu, J. (2018). Intelligent data sampling promotes accelerated medical imaging: sharper positron emission tomography. In: : . Paper presented at The 6th Swedish Workshop on Data Science (SweDS18), November 20-21, 2018, Umeå Sweden.
Open this publication in new window or tab >>Intelligent data sampling promotes accelerated medical imaging: sharper positron emission tomography
2018 (English)Conference paper, Oral presentation with published abstract (Refereed)
National Category
Probability Theory and Statistics Medical Image Processing Signal Processing
Research subject
Mathematical Statistics
Identifiers
urn:nbn:se:umu:diva-154631 (URN)
Conference
The 6th Swedish Workshop on Data Science (SweDS18), November 20-21, 2018, Umeå Sweden
Projects
Statistical modelling and intelligent data sampling in MRI and PET measurements for cancer therapy assessment
Funder
Swedish Research Council, 340-2013-534
Available from: 2018-12-20 Created: 2018-12-20 Last updated: 2018-12-20
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