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- Wei Deng, Ming-Jun Lai, Zhimin Peng, Wotao Yin
- J. Sci. Comput.
- 2017

This paper introduces a parallel and distributed extension to the alternating direction method of multipliers (ADMM) for solving convex problem: minimize f1(x1) + • • • + fN (xN) subject to A1x1 + • • • + AN xN = c, The algorithm decomposes the original problem into N smaller subproblems and solves them in parallel at each iteration. This Jacobian-type… (More)

- Zhimin Peng, Ming Yan, Wotao Yin
- ACSSC
- 2013

—This paper proposes parallel and distributed algorithms for solving very large-scale sparse optimization problems on computer clusters and clouds. Modern datasets usually have a large number of features or training samples, and they are usually stored in a distributed manner. Motivated by the need of solving sparse optimization problems with large… (More)

- Yu Wang, Jinshan Zeng, Zhimin Peng, Xiangyu Chang, Zongben Xu
- IEEE Transactions on Signal Processing
- 2015

This paper studies the convergence of the adaptively iterative thresholding (AIT) algorithm for compressed sensing. We first introduce a generalized restricted isometry property (gRIP). Then, we prove that the AIT algorithm converges to the original sparse solution at a linear rate under a certain gRIP condition in the noise free case. While in the noisy… (More)

- Anika M. S. Hartz, David S. Miller, +55 authors Leslie Morrow
- 2010

Molecular Pharmacology (ISSN 0026-895X) is published monthly (two volumes per year beginning in January and July) by the Amer

- Zhimin Peng, Yangyang Xu, Ming Yan, Wotao Yin
- SIAM J. Scientific Computing
- 2016

Finding a fixed point to a nonexpansive operator, i.e., x * = T x * , abstracts many problems in numerical linear algebra, optimization, and other areas of scientific computing. To solve fixed-point problems, we propose ARock, an algorithmic framework in which multiple agents (machines, processors, or cores) update x in an asynchronous parallel fashion.… (More)

- Zhimin Peng, Tianyu Wu, Yangyang Xu, Ming Yan, Wotao Yin
- ArXiv
- 2016

This paper focuses on the coordinate update method, which is useful for solving large-sized problems involving linear and nonlinear mappings, and smooth and nonsmooth functions. It decomposes a problem into simple subproblems, where each subproblem updates one, or a small block of, variables. The coordinate update method sits at a high level of abstraction… (More)

TMAC is a toolbox written in C++11 that implements algorithms based on a set of modern methods for large-scale optimization. It covers a variety of optimization problems, which can be both smooth and nonsmooth, convex and nonconvex, as well as constrained and unconstrained. The algorithms implemented in TMAC, such as the coordinate update method and… (More)

- Jinshan Zeng, Zhimin Peng, Shaobo Lin
- ArXiv
- 2015

In recent studies on sparse modeling, l q (0 < q < 1) regularized least squares regression (l q LS) has received considerable attention due to its superiorities on sparsity-inducing and bias-reduction over the convex counterparts. In this paper, we propose a Gauss-Seidel iterative thresholding algorithm (called GAITA) for solution to this problem. Different… (More)

- Maureen Mongan, Zongqing Tan, +5 authors Ying Xia
- Toxicological sciences : an official journal of…
- 2008

Nickel compounds are environmental and occupational hazards that pose serious health problems and are causative factors of acute lung injury. The c-jun N-terminal kinases (JNKs) are regulated through a mitogen-activated protein (MAP) 3 kinase-MAP2 kinase cascade and have been implicated in nickel toxicity. In this study, we used genetically modified cells… (More)

- Jinshan Zeng, Zhimin Peng, Shaobo Lin
- J. Computational Applied Mathematics
- 2017