Implementation and Applications of a Three-Round User Strategy for Improved Principal Axis Minimization
Journal Title: Journal of Applied Quantitative Methods - Year 2008, Vol 3, Issue 1
Abstract
This paper presents a three-round user strategy (EPM), extending the C implementation of Brent’s PRAXIS algorithm by Gegenfurtner. In a first round, EPM applies a multistart procedure for global optimization, randomly generating and evaluating multiple sets of start values drawn from weighted primary and secondary intervals. Using the parameter estimates of the smallest first round minimum, in a second and third round, EPM performs iterative minimization runs and applies an additional break-off criterion to improve and stabilize the approximated minimum and parameter estimates. Moreover, EPM increases the precision of the original PRAXIS implementation by a conversion from the double to the long double data type. This conversion is not trivial and even seen to be essential for minimizing a complex empirical function from psychometrics. Important special cases of EPM are discussed and promising strategies for the handling of EPM are proposed. EPM’s advantages over PRAXIS are illustrated using two different functions: a ‘well-behaved’ Rosenbrock function and an ‘illbehaved’ psychometric likelihood function.
Authors and Affiliations
Ali ÜNLÜ, Michael KICKMEIER-RUST
Keywords
Related Articles
- EP ID EP145169
- DOI -
- Views 105
- Downloads 0
SPECTRALYZER: A Comprehensive Program to Classify FTIR Microscopic Data Applied for Early Detection of Critical Ailments
Micro spectroscopy can be used for the early diagnosis of critical ailments. Early diagnosis is crucial for identifying the presence of a disease before it progresses beyond a critical stage. It has been shown that micro...
The Influence of Software Complexity on the Maintenance Effort - Case Study on Software Developed within Educational Process –
Software complexity is the most important software quality attribute and a very useful instrument in the study of software quality. Is one of the factors that affect most of the software quality characteristics, includin...
Logistic Regression to Describe How the Relationship between Social Connection and Self-Rated Health Varies by Gender
Social Scientists and health researchers have allocated a great deal of time trying to understand the social correlates of health outcomes, some in the question of the association between social relationships and such ou...
Harmonization Models for Designing Compound Systems
A system to be designed and developed is composed of several sub-systems with complex configuration. The relationship between the sub-systems and the system cannot be fully expressed in analytical terms and has a high de...
A QUANTITATIVE ANALYSIS OF THE RESOURCES FOR ELEARNING IN ROMANIA
Information and Communication Technologies have been the main drive behind changes within society and economy for more than a decade. A European Information Society for growth and employment is a strategic framework for...