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Letting be the input signal variance, the initial regularization parameters [8] are and.
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We used the ratio of data misfit and the value of each stabilizing functional as the initial value of regularization parameter, we kept the same regularization parameter if the data misfit decreases during the inversion, while we set (alpha_{n + 1} = 0.9*alpha_{n}) if the data misfit did not decrease (Zhdanov 2002).
The segmentation with Spatial Shrunken Centroids on the picked peaks took 241 s (shortest) to 827 s (longest), depending on the initial values of regularization parameters and the number of clusters, on the same computer.
Spatial regularization of the initial condition analogous to the deterministic case is obtained.
There are two facts about μ(n) and ρ that should be noticed: 1) the variant step-size μ(n) is adopted to speed up the convergence speed in the case of large estimation error, while to ensure the stability in the case of small estimation error; 2) the parameter ρ, which depends on the initial step-size μ and regularization parameter λ, is utilized to exploit channel sparsity effectively.
The initial level set function in (b) is regularized using the regularization functional R, and the final, regularized level set function in (h) is obtained.
The best architecture has been sought using genetic algorithms (GA) in conjunction with pruning algorithms and regularization methods in which the initial distribution of the parameters (weights) of the network is not uniform.
In this paper, we mainly use the truncation regularization method to identify the initial value under two parameter choice rules.
But the problem (2.1) is not still 'extended' for the initial problem (1.1) since we have not made regularization for the integral part.
The initial HR image is further refined using a customized image regularization scheme tailored for mobile devices.
By the Carleman-Vekua regularization method (Vekua in Generalized Analytic Functions, 1988) the initial equation is reduced to the Abel equation.
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