The shape parameter in the Gaussian function

Luh, Lin-Tian

doi:10.1016/j.camwa.2011.11.032

Cited by 19 publications

(9 citation statements)

References 13 publications

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“…The reported RMSE is 0.359 which is statistically significant according to the Diebold and Mariano (1995) perspective. Besides that, the reported MAPE was also statistically significant as it indicated 0.536% that was still within the ranging range that was highlighted by Lewis (1982).…”

Section: In-sample Forecastingmentioning

confidence: 63%

Are there any turning points for external debt in Malaysia? Case of adaptive neuro-fuzzy inference systems model

Karia

2021

Economic Structures

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This paper intends to investigate whether the turning points exist between tax revenue, gross domestic product, government expenditure, and gross domestic saving towards Malaysia’s total external debt. The researcher implements the adaptive neuro-fuzzy inference system model to forecast the total external debt in Malaysia. The total external debt prediction then projects the three-dimensional surface diagrams to depict whether the turning points exist among the variables. This study’s empirical finding reveals that the turning points are noticeable between the tax revenue, gross domestic product, and gross domestic saving toward external debt in Malaysia. However, government expenditure depicts a direct relationship with external debt. This finding demonstrates that the anomaly between the theories and scholarly activities. This study also recommends that the tax revenue be collected at maximum holding the government expenditure and gross domestic product are maximum statistics to reduce Malaysia’s external debt.

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Section: In-sample Forecastingmentioning

confidence: 63%

Are there any turning points for external debt in Malaysia? Case of adaptive neuro-fuzzy inference systems model

Karia

2021

Economic Structures

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“…The correcting function ω i (v) are determined from condition (10). While, the unknown parameters β k , k = 1, 2, 3, ..., M and λ i , i = 1, 2, 3, ..., N are determined by substituting (11) in the governing equation ( 1) and collocate at the interior and boundary points of the solution domain.…”

Section: The Numerical Schemementioning

confidence: 99%

“…x and y = h y N 2 y , where h x and h y are positive constants, but condition number of the collocation matrix is high. Further different selection procedures of shape parameter can be found in [11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Meshless Analysis of Nonlocal Boundary Value Problems in Anisotropic and Inhomogeneous Media

Muhammad¹,

Ahsan²,

Ahmad³

et al. 2020

Preprint

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In this work, meshless methods are applied for the solution of two-dimensional steady-state heat conduction problems with nonlocal multi-point boundary conditions (NMBC). These meshless procedures are based on multiquadric radial basis function (MQ RBF) and its modified version (i.e. integrated MQ RBF). The proposed meshless methods which were recently published in \cite{Reutskiy2016} is compared with standard collocation method (i.e. Kansa's method). Three different sorts of solution domain are considered in which Dirichlet boundary condition is specified on some part of the boundary and is related to the unknown function values at a discrete set of interior points. The influence of NMBC on the accuracy and condition number of the system matrix associated to the proposed methods is investigated. The sensitivity of the shape parameter is also analyzed in the proposed methods. Performance of the proposed approaches in terms of accuracy and efficiency is confirmed on the benchmark problems.

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“…e Gaussian function is used to represent the path restriction area. erefore, the expression of the safe potential function Ω s0 based on the elliptical cissoid surface is [39] 4…”

Section: Safe Potential Functionmentioning

confidence: 99%

“…where a t ∈ R 3 represents the gravitational acceleration of the reference position potential field to the chaser, a s ∈ R 3 represents the repulsive acceleration of the safe corridor potential field to the chaser, and a o ∈ R 3 represents the repulsive acceleration of the obstacle potential field to the chaser. Substituting equation (40) into (39) yields…”

Section: Total Potential Functionmentioning

confidence: 99%

Artificial Potential Function Safety and Obstacle Avoidance Guidance for Autonomous Rendezvous and Docking with Noncooperative Target

Liu

2019

Mathematical Problems in Engineering

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The problem of artificial potential function (APF) safety and obstacle avoidance guidance for autonomous rendezvous and docking of chaser spacecraft with noncooperative spacecraft is studied. The relative motion equation of the chaser and the target is established based on the line-of-sight coordinate system, the reference state is designed, and the corresponding state error is deduced. The attitude motion equation of the noncooperative target spacecraft in space is established. The safety and obstacle avoidance guidance problem of autonomous rendezvous and docking with noncooperative target is transformed into a path planning problem in a dynamic environment. The attractive potential function is designed according to the state error. In order to ensure that the chaser can safely approach the noncooperative target spacecraft, a safe corridor with ellipse cissoid is designed in the final approaching stage of autonomous rendezvous and docking. The obstacle is assumed to be a sphere with a certain radius to avoid its influence in the approach, and the obstacle potential function is designed based on the Gaussian function method. The total potential function of the system is designed according to the attractive potential function, the safe potential function, and the obstacle potential function. The total potential function of the system is modified to ensure that the reference state is the minimum of the total potential function of the system. The stability of the system is proven according to the Lyapunov stability principle, and the conditions for satisfying the monotonic decrease in the total potential function of the system are deduced. Finally, the effectiveness of the proposed method is verified by three sets of numerical simulations.

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The shape parameter in the Gaussian function

Cited by 19 publications

References 13 publications

Are there any turning points for external debt in Malaysia? Case of adaptive neuro-fuzzy inference systems model

Are there any turning points for external debt in Malaysia? Case of adaptive neuro-fuzzy inference systems model

Meshless Analysis of Nonlocal Boundary Value Problems in Anisotropic and Inhomogeneous Media

Artificial Potential Function Safety and Obstacle Avoidance Guidance for Autonomous Rendezvous and Docking with Noncooperative Target

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