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To tackle this problem we assume local sparsity on image patches.
We use similar approach of ST in this work to solve for sparsity on ({mathbf{S }}).
Therefore, this sparsity on the phase errors is incorporated into the problem by using the regularization term ∥β−1∥1.
Those methods impose additional constraints, such as localization or sparsity, on the NMF cost function to construct improved NMF decompositions.
They enforce sparsity on the spatial spectrum and pose source localization as an over-complete basis representation problem.
First, the BeBP induces sparsity on the weights w i, and second, it allows information to be shared across the weights during inference.
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Hoyer's sparsity takes on values between 0 (all vector elements equal) and 1 (single non-zero component).
Still, there is a disproportion between the number of free parameters and available measurement data on the one hand and the property of sparsity of GRNs on the other hand.
Specifically, the proposed method first uses a feature-level self-representation loss function to sparsely represent each feature by other features, and then employs an ℓ2,p-norm regularization term to yield row-sparsity on the coefficient matrix for conducting feature selection.
The partial sparsity approach, on the other hand, relies on accurate knowledge of the building geometry to create wall- and corner-specific dictionaries, which are subsequently used for mitigating the contributions of exterior and interior walls.
In this case, the norm regularization (called sparse group Lasso) (Friedman et al., 2010; Liu and Ye, 2010) can be applied, which simultaneously achieves the 'between-group' sparsity based on the norm and the 'within-group' sparsity based on the norm as follows: The key idea of a successful voting system is to have a large and diverse pool of models, each of them with reasonable prediction power.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com