penalty function

penalty function

[′pen·əl·tē ‚fəŋk·shən]
(mathematics)
A function used in treating maxima and minima problems subject to constraints.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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For the fitting curve without penalty function in Figure 5(a), a serious overfitting problem occurs due to great data fluctuation.
where [phi](t) := [|t|.sup.p] is a penalty function with p [member of] (0, 2], sparsity-inducing for p < 1, and [beta] := [beta](x), [beta] : [OMEGA] [right arrow] [0,1], is an adaptive function which approaches zero at the high curvature points of [OMEGA].
Valve point effect and a penalty function for generator active power violations are added to quadratic cost function in order to provide the more appropriate simulation of fuel cost.
Keywords: derivative free methods, penalty function, structural optimization, truss structure, unconstrained optimization.
We design penalty function for constrained optimization problems by following the guidelines suggested by Richard Sen et al.
Penalty function is one of the most effective methods to solve the evolutionary constraint optimization problem [21-25].
To take into account constraints on intermediate coordinates value of the following penalty function is calculated
In addition, the standard LSO employed a penalty function to preserve feasibility of the encountered solutions.
as the penalty function, where A e Rsxm is a weighting matrix with full column rank and satisfies [lambda]([[LAMBDA].sup.T][LAMBDA]) < 1, where [lambda](*) denotes the eigenvalue of a matrix.
In this work, to solve our formulated constrained optimization problem we have converted it into an unconstrained optimization problem by penalty function technique.
In the course of settlement about model constraints, adopting penalty function to reduce the fitness ability of individuals that don't not satisfy constraints, then their reproducing can be controlled.