Displaying similar documents to “Approximation of large-scale dynamical systems: an overview”

Relative Measurement and Its Generalization in Decision Making. Why Pairwise Comparisons are Central in Mathematics for the Measurement of Intangible Factors. The Analytic Hierarchy/Network Process.

Thomas L. Saaty (2008)

RACSAM

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According to the great mathematician Henri Lebesgue, making direct comparisons of objects with regard to a property is a fundamental mathematical process for deriving measurements. Measuring objects by using a known scale first then comparing the measurements works well for properties for which scales of measurement exist. The theme of this paper is that direct comparisons are necessary to establish measurements for intangible properties that have no scales of measurement. In that case...

Adaptive prediction of stock exchange indices by state space wavelet networks

Mietek A. Brdyś, Adam Borowa, Piotr Idźkowiak, Marcin T. Brdyś (2009)

International Journal of Applied Mathematics and Computer Science

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The paper considers the forecasting of the Warsaw Stock Exchange price index WIG20 by applying a state space wavelet network model of the index price. The approach can be applied to the development of tools for predicting changes of other economic indicators, especially stock exchange indices. The paper presents a general state space wavelet network model and the underlying principles. The model is applied to produce one session ahead and five sessions ahead adaptive predictors of the...

Hybrid approach to design optimisation: preserve accuracy, reduce dimensionality

Mariusz Kamola (2007)

International Journal of Applied Mathematics and Computer Science

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The paper proposes a design procedure for the creation of a robust and effective hybrid algorithm, tailored to and capable of carrying out a given design optimisation task. In the course of algorithm creation, a small set of simple optimisation methods is chosen, out of which those performing best will constitute the hybrid algorithm. The simplicity of the method allows implementing ad-hoc modifications if unexpected adverse features of the optimisation problem are found. It is postulated...

An approach based on the use of the ant system to design combinational logic circuits.

Benito Mendoza García, Carlos A. Coello Coello (2002)

Mathware and Soft Computing

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In this paper we report the first attempt to design combinational logic circuits using the ant system. In order to design circuits, a measure of quality improvement in partially built circuits is introduced and a cost metric (based on the number of gates) is adopted in order to optimize the feasible circuits generated. The approach is compared to a genetic algorithm and to a human designer using several examples and the sensitivity of the algorithm to its parameters is studied using...