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This is accomplished by an asymptotic expansion that removes the singularities up to several leading orders, and the remaining regularized part of the solution can then be computed on the grid with the expected accuracy.
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Thus, in the limit α→ ∞ the regularized objective function becomes a convex function.
Here we give the definition of a regularized gap function.
Training minimizes the regularized cost function [38] (7).
Firstly, a set of potential undercuts are generated by performing the regularized difference between the part and its convex hull.
We regularize the degenerate part through replacing the term div ( | ∇ u m | p ( x ) − 2 ∇ u m ) by div { ( | ∇ ( σ u m + ϵ u ) | 2 + η ) p ( x ) − 2 2 ∇ ( σ u m + ϵ u ) }, ϵ, η > 0. In Section 3, in order to apply the topological degree method, we combine these regularized problems with a relatively simpler equation and derive some a priori estimates.
Similarly, DECOLOR [22] method has the same problem because the single regularized parameter cannot adequately distinguish the low-rank part (background) from the sparse error part (foreground).
The difference between the exact solution and the regularized solution can be divided into two parts: (2.5).
In terms of popular culture, a more regularized and less demanding working day and week became part of a new kind of working year, so that old calendrical observances and rituals were lost.
In this section we consider the general regularized ERM algorithms.
The so-called regularized FD (Finite Difference) adaptation, a modified regularized approach where the off-equilibrium part of the stress tensor is computed thanks to a finite difference scheme, is the only tested adaptation that can handle the high Reynolds computation.
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CEO of Professional Science Editing for Scientists @ prosciediting.com