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In this algorithm, the fuzzy point-correspondence degrees are used to describe an uncertainty point assignment, then both the parameters of the affine transformation and the fuzzy correspondence degrees are iteratively calculated by minimizing a constrained fuzzy objective function.
The sparse code of signal data y=y j for j=1,…,n is obtained by minimizing a constrained optimization ℓ 0: underset{leftVert xrightVert_{0}leq k}{min}=frac{1}{2}leftVert y-DxrightVert^{2}, (13).
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The computational mesh is automatically aligned to the implicitly described geometry by minimizing a nonlinear, constrained functional.
Instead, cell shape is constrained by minimizing an energy function that penalizes size-deformations as well as membrane bending.
The reliability index can be evaluated by solving a constrained optimization problem, as described below: Find P*. which minimizes β = U T · U Open image in new window (9).
Design modification is performed by solving a constrained optimization problem.
The size distribution was determined by a constrained regularization method.
Based on the hybrid spectral framework, the optimal design was elaborated by minimizing the suitably defined constrained-optimization problem.
Maximizing the margin is therefore equivalent to minimizing: (1) subject to the constraints: (2) As a constrained optimization problem, the above formulation can be reduced to minimization of a Lagrange function, consisting of the sum of the objective function and the m constraints multiplied by their respective Lagrange multipliers, (that satisfy ).
LP is a method of maximizing or minimizing a linear equation (called the objective function) subject to a set of constraining linear equations and inequalities.
The choice of the PAPR optimization interval (the number of OFDM/SC-FDMA symbols over which PAPR is defined and minimized) is constrained by the tradeoff between PAPR reduction capability and control signaling overhead.
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