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We achieve this goal by minimizing a appropriate cost functional.
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This paper proves that a fuzzy inference mechanism can be trained such that the adjustable parameter values are forced to settle down (parameter stabilization) while minimizing an appropriate cost function (cost optimization).
Next, the thus derived power spectrum is used in conjunction with a frequency domain higher-order statistical linearization formulation to replace the bilinear hysteretic system by a third order linear system by minimizing an appropriate error function in the least square sense.
According to the formulation, the most probable dynamical trajectory connecting the initial and final atomic configurations, is determined through minimizing an appropriate object function that is derived from the classical action by imposing dynamical conditions as required as the conservations of total energy.
This generator minimizes an appropriate functional over a finite domain when two reference fields are given.
In particular, the method minimizes an appropriate free energy functional thus ensuring a thermodynamically consistent behaviour in equilibrium.
The third component is a decision rule for making classification decisions which minimize an appropriate expected loss function.
Building on our previous work, we present an inversion method for identifying the constitutive material properties that minimize an appropriate objective function.
The method finds the optimal solution that minimizes an appropriate overall cost function taking into account performance of each subsystem within a constraint on the computational resource.
From a decision theoretic perspective, the model selection problem can be cast in terms of minimizing a loss function appropriate to the decision problem at hand.
This usually involves computing the parameters of a generative imaging model (such as geometric and photometric registration, and blur) and obtaining a MAP estimate by minimizing a cost function including an appropriate prior.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com