The Split Bregman Method for L1-Regularized Problems
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2009/01/01
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Journal
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Indian UGC (journal)
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Refrences12
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Citations2,508
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Tom Goldstein
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Stanley Osher
Journal Categories
Science
Mathematics
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Computer software
Technology
Electrical engineering
Electronics
Nuclear engineering
Electronics
Technology
Mechanical engineering and machinery
Technology
Photography
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| 10.1137/S1064827596299767 | ||||
| 10.1109/TIT.2005.862083 | ||||
| The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming | USSR Computational Mathematics and Mathematical Physics | 1,216 | 1967 | |
| Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing | SIAM Journal on Imaging Sciences |
| 800 | 2008 |
| Fast approximate energy minimization via graph cuts | IEEE Transactions on Pattern Analysis and Machine Intelligence |
| 2,610 | 2001 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Few‐shot segmentation framework for lung nodules via an optimized active contour model | Medical Physics |
| 2024 | |
Increasing the scan‐efficiency of pulmonary imaging at 0.55 T using iterative concomitant field and motion‐corrected reconstruction | Magnetic Resonance in Medicine |
| 2024 | |
| Low-light Image Enhancement via Dual Reflectance Estimation | Journal of Scientific Computing |
| 2024 | |
| An Iterative Method for the Inverse Eddy Current Problem with Total Variation Regularization | Journal of Scientific Computing |
| 2024 | |
| Multi-consensus decentralized primal-dual fixed point algorithm for distributed learning | Machine Learning |
| 2024 |
Citations Analysis
The category
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics 802
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Removing Multiplicative Noise by Douglas-Rachford Splitting Methods and was published in 2009. The most recent citation comes from a 2024 study titled Enhancing image denoising: A novel non-local anisotropic diffusion framework based on capito derivatives and Gaussian convolution for the Perona–Malik model. This article reached its peak citation in 2017, with 245 citations. It has been cited in 535 different journals, 15% of which are open access. Among related journals, the SIAM Journal on Imaging Sciences cited this research the most, with 103 citations. The chart below illustrates the annual citation trends for this article.