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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)
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)
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)
N-phosphorylation labeling was utilized to analyze the low molecular weight compounds by using matrix-assisted laser desorption/ionization time-of-flight mass spectrometry (MALDI-TOF MS). A wide range of natural amino acids and short peptides was successfully analyzed by MALDI-TOF MS without matrix background interferences. The N-phosphorylation labeling(More)
The mitogen-activated protein kinase kinase (MEK) kinase 1 (MEKK1) mediates activin B signals required for eyelid epithelium morphogenesis during mouse fetal development. The present study investigates the role of MEKK1 in epithelial wound healing, another activin-regulated biological process. In a skin wound model, injury markedly stimulates MEKK1(More)
The NF-κB is best known for its role in inflammation. Here we show that constitutive NF-κB activity in cancer cells promotes the biosynthesis of redox scavenger glutathione (GSH), which in turn confers resistance to oxidative stress. Inhibition of NF-κB significantly decreases GSH in several lines of human leukemia and prostate cancer cells possessing high(More)
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)
Arsenic is a widespread environmental toxic agent that has been shown to cause diverse tissue and cell damage and at the same time to be an effective anti-cancer therapeutic agent. The objective of this study is to explore the signaling mechanisms involved in arsenic toxicity. We show that the IkappaB kinase beta (IKKbeta) plays a crucial role in protecting(More)