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Penalty functions with a small penalty parameter [PDF]

Optimization Methods and Software, 2002
In this article, we study the nonlinear penalization of a constrained optimization problem and show that the least exact penalty parameter of an equivalent parametric optimization problem can be diminished. We apply the theory of increasing positively homogeneous (IPH) functions so as to derive a simple formula for computing the least exact penalty ...
A M Rubinov, X Q Yang
exaly   +3 more sources

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An explicit expression for the penalty parameter of the interior penalty method

Journal of Computational Physics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khosro Shahbazi
exaly   +2 more sources

Postponing the Choice of Penalty Parameter and Step Length [PDF]

Computational Optimization and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fernando R. Villas-Bôas, Clovis Perin
openaire   +2 more sources

Robust and Fuzzy Spherical Clustering by a Penalty Parameter Approach [PDF]

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
openaire   +3 more sources

On Penalty Parameter Selection for Estimating Network Models [PDF]

Multivariate Behavioral Research, 2019
Network models are gaining popularity as a way to estimate direct effects among psychological variables and investigate the structure of constructs. A key feature of network estimation is determining which edges are likely to be non-zero. In psychology, this is commonly achieved through the graphical lasso regularization method that estimates a ...
Anna C, Wysocki, Mijke, Rhemtulla
core   +5 more sources

The exact formula of the optimal penalty parameter value of the spectral penalty method for differential equations [PDF]

Applied Mathematics and Computation, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Zhao, JUNG, JAE HUN
openaire   +4 more sources

An M-Objective Penalty Function Algorithm Under Big Penalty Parameters

Journal of Systems Science and Complexity, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ying Zheng, Zhiqing Meng, Rui Shen 0001
openaire   +1 more source

Analysis of penalty parameters for interior penalty Galerkin methods

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2019
Purpose The purpose of this paper is to analyse the influence of penalty parameters for an interior penalty Galerkin method, namely, the symmetric interior penalty Galerkin method. Design/methodology/approach First of all, the solution of a simple model problem is computed and compared to the exact solution, which is a periodic function. Afterwards,
Sebastian Straßer, Hans-Georg Herzog
openaire   +1 more source

Generic parameter penalty architecture

Structural and Multidisciplinary Optimization, 2018
A new architecture for Multidisciplinary Design Optimization, called Generic Parameter Penalty Architecture, is introduced. This architecture can be configured through three parameters that manage the distribution of objective functions and consistencies between main and sub-level optimizations.
Hugo Aliaga-Aguilar, Cristina Cuerno-Rejado   +1 more
openaire   +1 more source

Exact penalty function algorithm with simple updating of the penalty parameter

Journal of Optimization Theory and Applications, 1991
See the preview in Zbl 0702.90074.
de O. Pantoja, J. F. A., Mayne, D. Q.
openaire   +1 more source