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Using BGS-NMF-LP, we sampled the parameters and hyperparameters by using different frames from six music signals and automatically calculated the averaged values of regularization parameters in (15) as { η a = 0. 41, η s r = 0. 31, η s h = 0. 26 }.
There exist efficient algorithms for finding solutions for different values of regularization parameters [ 3].
The optimal values of regularization were α λ = 10−2 × the maximum singular value of J λ, which were found to provide good imaging quality based on our previous human [ 38] and animal [ 41] DOT studies.
We also compared the prediction performance of the ts-RF model with linear kernel SVM, taken from LibSVM [ 2], the values of regularization parameter by factors C were 2-2 and 2-5, respectively.
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.
Optimal values of regularization parameters, α and β, in BRANN can be calculated as: (10) α MP = γ 2 E w w MP and (11) β MP = n − γ 2 E D w MP, where 0 ≤ γ = m − 2 α MP tr(H MP )− 1 ≤ m the number of effective parameters in the neural network, and m is the total number of parameters.
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The non-regularized cases help to judge the value of regularization.
The optimal solutions are independent of the value of regularization parameter λ.
We fixed the value of regularization parameter c to 10 and adopted a one-versus-rest strategy for multi-class classification, where classes with the highest score are considered as the predicted class.
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).
SVM training was carried out by optimization of the value of regularization parameter and the value of RBF kernel parameter.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com