Numerical Methods and Procedures

Ahmadian, Amir Sharif

doi:10.1016/b978-0-12-802413-3.00006-7

Cited by 6 publications

(3 citation statements)

References 8 publications

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“…Different approaches for both methodologies were tested. For the ANNs, the chosen training approaches were Levenberg-Marquardt [81], Bayesian Regularization [80] and Scaled Conjugate Gradient [79]. As for the RMs, 15 training approaches of four different classes were tested [82]- [87]: for Linear Regressions class, Linear, Interactions Linear, Robust Linear, and Stepwise Linear; for the Trees class, Fine Tree, Medium Tree and Coarse Tree; for the Support Vector Machines class, Linear SVM, Quadratic SVM, Cubic SVM, Fine Gaussian SVM, Medium Gaussian SVM and Coarse Gaussian SVM; and finally, for the Ensembles class, Boosted Trees and Bagged Trees.…”

Section: Experiments and Resultsmentioning

confidence: 99%

Hybrid Adaptive Computational Intelligence-based Multisensor Data Fusion applied to real-time UAV autonomous navigation

Paulino

Guimarães

Shiguemori

2019

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Nowadays, there is a remarkable world trend in employing UAVs and drones for diverse applications. The main reasons are that they may cost fractions of manned aircraft and avoid the exposure of human lives to risks. Nevertheless, they depend on positioning systems that may be vulnerable. Therefore, it is necessary to ensure that these systems are as accurate as possible, aiming to improve navigation. In pursuit of this end, conventional Data Fusion techniques can be employed. However, its computational cost may be prohibitive due to the low payload of some UAVs. This paper proposes a low-cost Multisensor Data Fusion application based on Hybrid Adaptive Computational Intelligence (HACI) -the cascaded use of Fuzzy C-Means Clustering (FCM) and Adaptive-Network-Based Fuzzy Inference System (ANFIS) algorithms -that have been shown able to improve considerably the accuracy of current positioning estimation systems for real-time UAV autonomous navigation, reducing the error in approximately 300cm 2 . In addition, the proposed methodology outperformed two other Computational Intelligence methodologies -Artificial Neural Networks and Regression Models, with 18 different tested approaches -in estimating an UAV position considering the Root-Mean-Square Error against the real trajectory. The generated Fuzzy Inference System has proved to be effective in providing an improved positioning estimation with a low computational burden, about 600 times faster than the fastest embedded sensor refresh rate.

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Section: Experiments and Resultsmentioning

confidence: 99%

Hybrid Adaptive Computational Intelligence-based Multisensor Data Fusion applied to real-time UAV autonomous navigation

Paulino

Guimarães

Shiguemori

2019

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“…As developed by Broyden´s (and Newton´s) method, the Levenberg-Marquardt method (LMM) is formulated from Taylor's series and is a combination of the gradient descendent rule and Newton's method [24]. The LMM employs a parameter for controlling the step-size, which takes enormous values in the first iterations (equivalent with the gradient descent algorithm) and small values in the latest ones (equivalent with the Gauss-Newton method).…”

Section: Levenberg-marquardt Methodsmentioning

confidence: 99%

Application of Solution Strategies for Numerical Estimation of Thermodynamic Equilibrium Parameters for an Acetone–Butanol Mixture

2020

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The development of reliable numerical estimation of thermodynamic parameters is a crucial aspect in the ongoing research about process engineering and design. The consideration of these concepts lets to design more precise processing units and separations stages based on the predicted nature of substances. Therefore, this study presents an application of different solution methods for the estimation of thermodynamic equilibrium parameters of an acetone–butanol mixture. This dissolution is a non-ideal system, so, the non-ideal Raoult’s Law and Wilson’s equation were used to model the liquid–vapor equilibrium. Otherwise, the solution of this system required the application of nonlinear least squares (NLS) for determination of adjustable parameters. As the above step transformed Wilson’s equation into a system of nonlinear equations, solution algorithms such as; Newton–Raphson method (NRM), Broyden’s method (BM) and Levenberg–Marquardt method (LMM) were applied. All algorithms converged towards the same solution ( Λ 12 = 0.689 and Λ 21 = 0.798 ), but Newton’s and Broyden’s methods employed fewer computational time and number of iterations compared to performance showed by the Levenberg–Marquardt algorithm.

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“…Approxi mately 71% of the earth consists of oceans and forms 1.634.701 km of coastline in coastal areas [1]. Coastal areas are often used for various things, such as a place to live, a place of recreation, to a place to work.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study of Wave Reflection on A-Jack Armor Unit on Seawall Structure

Sujantoko,

Pangestu,

Pratikto

et al. 2023

IJMEIR

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⎯In planning the construction of a seawall, it is necessary to consider several things, such as incoming waves, types of defensive units, and economic factors. So planning for the type and size of the armor unit used, it is expected that the structure will only experience minimal damage. In addition, there are other considerations, such as wave reflection by the structure. In the port area, a structure with low wave reflection is needed to keep the anchored pool calm. In this study, experimentally, the effect of the reflection coefficient on the seawall structure with the A-Jack armor unit was carried out. The experiment was held in a wave flume with regular waves with variations in height (0,10 -0,175 cm) and periods (1,4 seconds and 1,6 seconds) of waves with three variations of a structural slope, namely 1:1, 1:1,5, and 1:2. The reflection coefficient analysis was carried out using the two-point methods which were recorded with a wave probe. Based on experiments, it is known that the steeper the slope of the structure will result in a more significant increase in reflection. To improve the accuracy of the spectral variations of the incident and reflected waves, it is necessary to record with three-wave probes because the two-wave probe method has several weaknesses and is prone to interference in analyzing the data obtained.

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Numerical Methods and Procedures

Cited by 6 publications

References 8 publications

Hybrid Adaptive Computational Intelligence-based Multisensor Data Fusion applied to real-time UAV autonomous navigation

Hybrid Adaptive Computational Intelligence-based Multisensor Data Fusion applied to real-time UAV autonomous navigation

Application of Solution Strategies for Numerical Estimation of Thermodynamic Equilibrium Parameters for an Acetone–Butanol Mixture

Experimental Study of Wave Reflection on A-Jack Armor Unit on Seawall Structure

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