A genetic algorithm approach to nonlinear least squares estimation

Abstract. Interpolated Ant Colony Optimization (IACO) for a continuous domain was proposed in the paper. The IACO uses the same mechanisms as the classical ACO applied to discrete optimization. The continuous search space is sampled by individuals on the basis of the linear interpolated trace of the pheromone. It allows to obtain a simple and efficient optimization algorithm. The proposed algorithm is then used to identify delays in linear dynamic systems. The examination results show that it is an effective tool for global optimization problems.

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“…The idea of function optimization is then used to solve the equations (Guo and Hu, 2009;Olinsky et al, 2004), which is similar to the principle of Least squares min T V PV = (Flores et al, 2000). Eq.…”

Section: Water Vapor Tomography Based On the Genetic Algorithmmentioning

confidence: 99%

A GPS water vapor tomography method based on a genetic algorithm

Yang¹,

Guo²,

Shi³

et al. 2019

Preprint

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Abstract. Water vapor is an important part in the atmosphere, but its spatial and temporal distribution is difficult to detect. Global Positioning System (GPS) water vapor tomography, which can sense three-dimensional water vapor distribution, has been developed as a research point in the fields of GPS meteorology. In this paper, a new water vapor tomography method based on a genetic algorithm (GA) is proposed to overcome the ill-conditioned problem. By using the proposed approach, it is not necessary to perform the matrix inversion process, and the water vapor tomography is no longer dependent on excessive constraints, priori information and external data, which give rise to many limitations and difficulties. Experiments in Hong Kong under rainy and rainless conditions show a serious ill-conditioned problem in the tomographic matrix by grayscale and condition numbers. Numerical results indicate that the proposed method achieves high levels of agreement and internal/external accuracy with the GAMIT-estimated slant water vapor (SWV) as a reference. Comparative results of water vapor density (WVD) derived from radiosonde data reveal that the tomographic results based on the GA are in good agreement with that of radiosonde measurements. In comparison to the traditional Least squares method, a reliable tomographic result with high accuracy can be achieved by the GA without the restrictions mentioned-above. Furthermore, the tomographic results in a rainless scenario are better than those of a rainy scenario, and the reasons are discussed in detail.

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A genetic algorithm approach to nonlinear least squares estimation

Cited by 16 publications

References 2 publications

How Monte Carlo heuristics aid to identify the physical processes of drug release kinetics

How Monte Carlo heuristics aid to identify the physical processes of drug release kinetics

Continuous Ant Colony Optimization for Identification of Time Delays in the Linear Plant

A GPS water vapor tomography method based on a genetic algorithm

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