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In order to stabilize the inversion, we used a smoothness constraint of the slip distribution with a discrete Laplacian in space, and the weight of the constraint was determined by minimizing Akaike's Bayesian Information Criterion (ABIC) (Akaike, 1980).
The most likely tree under each constraint was determined by searching for the best tree compatible with that constraint using PAUP* [ 57].
Similar(58)
First, the initial accuracy constraint is determined.
The accuracy constraint is determined firstly assuming that the noise is white.
The first value of the accuracy constraint is determined through simulations and depends on the application performance requirements.
The tradeoff for imposing the constraint is determined by exploiting the rank constraint leading to a closed-form expression for the optimal regularization parameter.
Firstly, a computational accuracy constraint is determined according to the application performances, and secondly the fixed-point conversion is carried out.
In addition, we impose a spatiotemporal smoothing constraint on slips (Sekiguchi et al. 2000); the weight of the smoothing constraint is determined based on Akaike's Bayesian Information Criterion (Akaike 1980).
With the designed controller, the impulse thrust which satisfies the given thrust constraint is determined according to the real-time relative state between two spacecraft at the impulse instant, and the impulse duration is kept as short as possible.
The third constraint is determined based on the classes of the given H-atom; H-atoms are classified based on the type of the hybrid orbital and the number of H-atoms connected to the central heavy atom (see Table 1).
For solving this one dimensional optimization problem, the step ξ ¯ to the nearest active constraint is determined using any appropriate search scheme such as bisection [73,74].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com