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This was followed by an energy minimization to avoid overlaps in the positions of the atoms.
The previous setting focuses on distortion minimization to avoid detection by the entity inspecting the communication channel, the warden.
Therefore, in this section, we propose an improved joint sparse representation model which firstly replaces ℓ0-norm minimization with ℓ1-norm minimization to avoid the parameter K selection problem and then adopts the low-rank matrix recovery strategy to seek the common patterns based on the characteristics of the ℓ1-norm minimization solutions.
This may result from the tendency to use defensive cognitive strategies, such as risk minimization, to avoid feelings of distress.
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According to the theory of compressive sensing, when α is sparse enough, it is feasible to solve the related convex ℓ 1-minimization problem to avoid solving the solution of ℓ 0-minimization problem directly: (7) α ^ 1 = arg min α 1 subject to y = X α.
This contravenes the principal meaning of waste minimization, which is to avoid waste generation in the first place (Pongracz 2002).
A general variance minimization method is presented to avoid the need for determination of various coefficients and exponents used in regression process.
The location of this center of mass resulting from our approach is shown in Figure 6h and does not necessarily follow a viable path, because we choose a different minimization and allow our approach to avoid problematic cross-sections.
In order to avoid the explicit minimization problem and obtain a closed form solution, the nonlinear expressions of observations can be linearized using the linear least squares (LLS) algorithms.
At every step of energy minimization, the structures were monitored manually to avoid distortion of the model structure due to over optimization, it was also noticed for the removal of maximum number of short contacts within the system.
Assignments using minimization are more predictable than with randomization, but there are ways to avoid this (see Taves for rank minimization [ 35]).
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Justyna Jupowicz-Kozak
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