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Due to its gradient descent nature, HCM often converges to a local minimum of its objective functional [43] and its output is highly sensitive to the selection of the initial cluster centers.
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A control scheme is assumed to be optimal if it maximizes the objective functional (10) The first two terms represent the benefit of the susceptible and vaccinated populations.
The piecewise constant M-S model is a very useful simplified version of the M-S functional (1), in which the objective functional is minimized over functions that take a finite number of values.
Clearly, to solve an optimization problem with the above objective functional, we need to compute its derivative which, in turn, requires us to compute the derivative of the solution map.
In the form finding problem, we use the total length of cables as the objective functional and minimize it without or with considering the constraint condition of perimeter.
Thus, where the term 'QoL' is used in the present study, it refers to a composite of objective functional impairment and subjective perceptions and expectations.
In this paper, we propose a new stabilizing functional called the MSG functional, which adds stable constraints to help focusing a sharp boundary, and apply it to a unified form of the objective functional in the regularized inversion.
It is based on the penalization of the objective functional by the multiphase volume constrained Ginzburg Landau energy functional.
We compared its performance with other stabilizers under the same inversion framework through the unified objective functional form of a discrete weighted matrix.
A canoni quadratic objective functional is used through the paper and the behaviour of each of its terms is analysed.
It was demonstrated that different optimal contact shapes are generated depending on objective functional and wear parameters.
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CEO of Professional Science Editing for Scientists @ prosciediting.com