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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)
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)
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)
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)
Cytokine-activated inhibitor of kappaB kinase beta (IKKbeta) is a key mediator of immune and inflammatory responses, but recent studies suggest that IKKbeta is also required for tissue homeostasis in physiopathological processes. Here we report a novel role for IKKbeta in maintenance of constitutive levels of the redox scavenger GSH. Inactivation of IKKbeta(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)