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In this paper, a new spectral residual method is proposed to solve systems of large-scale nonlinear equations, where the steplength is obtained by minimizing the residue of an approximate secant equation. Especially, the new steplength can be directly applied into solving strictly convex quadratic function. Combined with a new nonmonotone line search strategy, a new derivative-free algorithm, called...
The generalized approximate message passing (GAMP) algorithm under the Bayesian setting shows significant advantages in recovering under-sampled sparse signals from corrupted observations. Compared to conventional convex optimization methods, it has a much lower complexity and is computationally tractable. Under the GAMP framework, the sparse signal and the observation are viewed to be generated according...
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