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Visual and quantitative results demonstrate the proposed algorithm, applied to l1 regularization model and total-variation (TV) regularization model, is a faster algorithm and keeps image details well.
However, the TGV regularization model tends to blur edges as the existence of high-order derivative.
The details of the proposed TV regularization model will be described in Section 2.1.
In this article, an iterative regularization model (IRM) with adaptive parameter is addressed.
As for (beta = 1), the model becomes the Bregman iterative regularization model.
Total generalized variation (TGV) regularization model is one of the most effective methods for denoising and eliminating staircase effect.
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Recently, the coordinate descent algorithms [ 19] for solving nonconvex regularization models (SCAD [ 20], MCP [ 21]) have shown significant efficiency and convergence [ 22].
In this section, we study the relation between the l 1 regularization projection model (6) and the original model (5), which indicates that the regularized model is a good approximation.
For details of parameter selections for the regularized model see Figure 4 figure supplement 1. (B ) The distribution of ME parameters according to the order of interactions in the regularized p* model (shown above the horizontal line), compared to the model without regularization (shown below the line).
Table 1 summarizes the simulation results from each regularization net model.
Our method, LASSO local automatic regularization resample model averaging (LLARRMA), combines LASSO shrinkage with resample model averaging and multiple imputation, estimating for each SNP the probability that it would be included in a multi-SNP model in alternative realizations of the data.
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