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We used sparsity/parsimony enforcing regularization techniques in a nested cross validation grid search to select features for 17 unique supervised learning models, encoding missing values as additional indicator features.
In the first extension, we use group-sparsity enforcing regularization term to impose the sparse structure.
The innovative idea of this paper is to aggregate the DEDR-optimal fixed-point iterative reconstruction/enhancement procedures developed in the previous studies [7, 8, 10] with the multi-level robustness and convergence enforcing regularization via constructing the proper projections onto convex sets (POCS) in the solution domain.
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In order to avoid overfitting, we also enforce regularization on the model parameters.
Finally, through enforcing the ℓ2,1-norm regularization, the imaging feature selection across most SNPs are coupled (Argyriou et al., 2007; Obozinski et al., 2006), so that the identified imaging phenotypes have common influence on all the SNPs.
Functions Φ are chosen in such a way to enforce a global regularization constraint on the cross-spectra.
Here one has to augment the problem with some additional regularization, e.g. enforcing the weights of neighboring time-lags to be similar [ 39].
Here, the regularization term R : X → [ 0, + ∞ ] is intended to enforce certain regularity properties of the approximate solution and to stabilize the process of solving (1).
Thus, enforcing model sparsity using L1-regularization resulted in dropping the feature of presence in a cleft or pocket, but retained residue centrality and solvent accessibility which allow this defining characteristic of active site residues to be recognized.
Following the POCS regularization formalism [9], the convergence enforcing projectors in the iterated procedure (32) are to be constructed formally as (33).
{leftVert mathbf{x}rightVert}_1le c (1 where ℒ : ℝ D → ℝ is a convex and differentiable loss function, || ⋅ ||1 indicates an L 1 norm operator enforcing the sparse solution, and c is a constant for controlling regularization and sparsity, meaning how many zeros are in the optimal solution vector.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com