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Publications by topic:
Models and Algorithms for Inverse Problems
- A Curvilinear Search Method for p-Harmonic Flows on Spheres (with Dr. Donald Goldfarb and Zaiwen Wen) submitted. [CAAM TR08-02].
- Iteratively Reweighted Algorithms for Compressive Sensing (with Dr. Rick Chartrand) ICASSP 2008. [CAAM TR08-01]
- Bregman Iterative Algorithms for l1-Minimization with Applications to Compressed Sensing (with Dr. Stanley Osher, Dr. Donald Goldfarb, and Dr. Jerome Darbon) SIAM J. Imaging Sciences 1(1), 143-168, 2008. [reprint]. [download the code]
- Fixed-Point Continuation for l1-Minimization: Methodology and Convergence (with Dr. Elaine Hale and Dr. Yin Zhang) submitted. [pdf] (revised, Jan 2008). [download the code]
- An algorithm for l1-Regularized Logistic Regression (with Jianing Shi and Dr. Stanley Osher) in preparation.
- Second-Order Cone Programming Methods for Total Variation Based Image Restoration (with Dr. Donald Goldfarb) SIAM J. Scientific Computing 27(2), 622-645, 2005. [reprint]. [download the code] (code requires Mosek)
- Slope and G-Set Characterization of Set-Valued Functions and Applications to Non-Differentiable Optimization Problems (with Dr. Otmar Scherzer and Dr. Stanley Osher) Communications in Mathematical Sciences 3(4), 479-492, 2005. [reprint]
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