Results 271 to 280 of about 78,334 (302)

Robust and Fuzzy Spherical Clustering by a Penalty Parameter Approach

IEEE Transactions on Circuits and Systems II: Express Briefs, 2006
A spherical clustering algorithm that provides robustness against noise and outliers is proposed. It is formulated as a constrained nonlinear optimization problem inspired by the idea of using minimum radii spheres of support vector clustering. An augmented cost function obtained by the penalty parameter approach is minimized by a stable coupled ...
Hatice Dogan, Cüneyt Güzelis
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On the choice of parameters in the method of penalty functions

USSR Computational Mathematics and Mathematical Physics, 1987
We consider the following nonlinear programming problem: minimize f(x) subject to \(x\in X=\{x\in E_ n:\) \(g_ i(x)\geq 0\), \(i=1,2,...,m\}\). By means of the modified method of penalty functions this constrained problem is transformed into a sequence of unconstrained problems: minimize \(L_ q(\beta,x)\) subject to \(x\in E_ n\), where \(\beta\to 0 ...
Bereznëv, V. A., Karmanov, V. G., Tret'yakov, A. A.   +2 more
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A note on the optimum choice for penalty parameters

Communications in Applied Numerical Methods, 1987
AbstractThis paper looks at the numerical characteristics of penalty methods for evaluating the solution of symmetric systems of equations with imposed constraints. The sources of error resulting from this approach are identified and an estimate for the penalty parameter that minimizes this error is obtained.
Nour-Omid, Bahram, Wriggers, Peter
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A two parameter mixed interior-exterior penalty algorithm

ZOR Zeitschrift f�r Operations Research Mathematical Methods of Operations Research, 1995
Summary: We analyze the mixed penalty methods introduced in the classic book of Fiacco and McCormick using two distinct penalty parameters \(r\), \(t\). The two penalty coefficients induce a two-parameter differentiable trajectory. We analyze the numerical behaviour of an extrapolation strategy that follows the path of the two-parameter trajectory.
Abdelhamid Benchakroun, Jean-Pierre Dussault, Abdelatif Mansouri   +2 more
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Hyper-heuristics with penalty parameter adaptation for constrained optimization

2014 IEEE Congress on Evolutionary Computation (CEC), 2014
Penalty functions are widely used in constrained optimization, but determining optimal penalty parameters or weights turns out to be a difficult optimization problem itself. The paper proposes a hyper-heuristic approach, which searches the optimal penalty weight setting for low-level heuristics, taking the performance of those heuristics with ...
Yu-Jun Zheng 0001, Bei Zhang 0004, Zhen Cheng   +2 more
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The Choice of a Parameter in a Penalty Method

1982
To solve the nonlinear, convex minimization problem min f(x) s. t. g.i(x)≤0, i=l,…,m, we use the SUMT method. We apply the penalty function P(x,r) = f(x) - rΣ log(-g.i(x)). The starting parameter r-┐ is chosen as small as possible, with respect to machine precision for a certain specific problem, so that numerical difficulties (in the sense of ...
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A lower bound for the controlling parameters of the exact penalty functions

Mathematical Programming, 1978
The purpose of this paper is to present new exact penalty functions and discuss their properties. A lower bound on the controlling parameters is given, for which above this value, the optimum of the exact penalty function coincides with the optimum of the nonlinear programming problem.
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Information Security Investment Game with Penalty Parameter

2008 3rd International Conference on Innovative Computing Information and Control, 2008
The purpose of this paper is to analyze the strategy to promote the information security investment based on game theory. We use game theory to make the analysis and put forward the fruitful strategy suggestions for the defender organization to invest in information security.
Wei Sun, Xiangwei Kong, Dequan He, Xingang You   +3 more
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Optimal parameter setting of performance based regulation with reward and penalty

2007 IEEE Congress on Evolutionary Computation, 2007
The employment of performance based regulation (PBR) in distribution systems could provide some incentive for improving operating efficiency and reducing electricity prices. However, if the PBR mechanism is not properly designed, the enforcement of the PBR may have a negative effect on the supply reliability.
Nuo Xu, Minxing Huang, Fushuan Wen, Zhaoyang Dong   +3 more
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Iterative determination of parameters for an exact penalty function

Journal of Optimization Theory and Applications, 1975
As an approach to solving nonlinear programs, we study a class of functions known to be exact penalty functions for a proper choice of the parameters. The goal is to iteratively determine the correct parameters. A basic algorithm has been developed.
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