ICAOD: An R Package for Finding Optimal designs for Nonlinear Statistical Models by Imperialist Competitive Algorithm

Masoudi, Ehsan; Holling, Heinz; Wong, Weng Kee; Kim, Seongho

doi:10.32614/rj-2022-043

Cited by 4 publications

(4 citation statements)

References 39 publications

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“…In design of experiments, the imperialist competitive algorithm is basically used to solve optimal design problems pertaining to non-linear models. The package" ICAOD" authored by (Masoudi E. , Holling, Wong, & Kim, 2020) in R version 1.0.1 was used for findings locally D-optimal designs for linear and nonlinear models. It should be used when a vector of initial estimates is available for the unknown model parameters.…”

Section: Methodsmentioning

confidence: 99%

A- and D-optimal designs in real life data using imperialist comparative algorithm

Bodunwa

Adewole

2022

gjs

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In this paper, we used Imperialist Competitive Algorithm (ICA) to get A-and D-optimal designs for two models; one with nonlinear and the other linear model were found for two life data. It was noted that the number of iterations for D-optimal design for both models was smaller than that of A-optimal design. This implies that getting a D-optimal design is preferable and saves time and energy compared to A-optimal since they are addressing the same issues related to the variance-covariance function. The Efficiency Lower Bound and the Sensitivity function embedded in ICA which support the general equivalent theorem in getting optimal design were also found in this study. Another advantage of using ICA algorithm is that it does not require the design space or the region of uncertainty to be discretized which means that the search for the support points of the optimal design is not restricted to the grid point. This was also confirmed here that the optimal design for A and D- designs were not restricted to the grid points.

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Section: Methodsmentioning

confidence: 99%

A- and D-optimal designs in real life data using imperialist comparative algorithm

Bodunwa

Adewole

2022

gjs

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“…The algorithm's functionality is also demonstrated by proving its ability to integrate with a local search to find optimal designs under a more complicated criterion, such as standardised maximin optimality [93]. The algorithm starts with assigning a set of random solutions in search spaces called a country with a primary location of x (o) ij [98]:…”

Section: Calibration Processmentioning

confidence: 99%

“…A low amount of ϑ means more power for imperialist. A value of 0.1 for ϑ is considered as suitable value for most implementations [98]. The elimination process will stop when only one empire remaining.…”

Section: Calibration Processmentioning

confidence: 99%

“…The sole remaining empire is an ideal world in which the power of all the colonies and imperialist is equal and they are all the optimum solution. This is the basis of the ICA for the search toward the powerful countries or the optimum points [97,98]. The algorithm can be stopped by defining a convergence condition such as certain number of iterations, running time, lower efficiency boundary.…”

Section: Calibration Processmentioning

confidence: 99%

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Calibration approach to quantify nonlinearity of MEMS pore pressure sensors using optimal interpolation

Barzegar¹,

Tadich²,

Sainsbury³

et al. 2022

Meas. Sci. Technol.

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MEMS-based instruments have become more attractive in recent years for many industries, particularly geotechnical monitoring owing to their small size and low capital cost. However, overcoming nonlinearity errors is a major concern to ensure accuracy, precision, and repeatability of measurement. Nonlinearity error in measuring instruments can be solved using polynomial function of different degree based on severity of error. In this study, Lagrange polynomial fitting method is applied for nonlinearity calibration of a newly developed MEMS pore pressure sensor by means of optimum calibration points. A procedure for optimum selection of the calibration points to get the best calibration characteristics of a pore pressure sensor is investigated. For this work, the calibration characteristics are evaluated by Lagrange interpolation using special set of Chebyshev nodes, D, A and R-optimum points. The D-A-R optimum points are constructed by Imperialist Competitive Algorithm (ICA). The value of the optimal approach is also compared with a uniform approach using equidistant points through actual readings. The results show the increased accuracy and precision of measurement using optimum approach. This increased accuracy allows the application of MEMs to sense smaller changes in pore pressure readings providing unique opportunity for passive estimation of subsurface properties.

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Growth kinetics of Bacillus cytotoxicus in liquid Egg yolk during treatment with phospholipase A2 – A one-step global dynamic analysis

Huang,

Ahmad,

Juneja

et al. 2024

Food Microbiology

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ICAOD: An R Package for Finding Optimal designs for Nonlinear Statistical Models by Imperialist Competitive Algorithm

Cited by 4 publications

References 39 publications

A- and D-optimal designs in real life data using imperialist comparative algorithm

A- and D-optimal designs in real life data using imperialist comparative algorithm

Calibration approach to quantify nonlinearity of MEMS pore pressure sensors using optimal interpolation

Growth kinetics of Bacillus cytotoxicus in liquid Egg yolk during treatment with phospholipase A2 – A one-step global dynamic analysis

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