scholarly journals ROAM: A Radial-Basis-Function Optimization Approximation Method for Diagnosing the Three-Dimensional Coronal Magnetic Field

Author(s):  
Kevin Dalmasse ◽  
Douglas W. Nychka ◽  
Sarah E. Gibson ◽  
Yuhong Fan ◽  
Natasha Flyer
2015 ◽  
Vol 51 (16) ◽  
pp. 1243-1245 ◽  
Author(s):  
Yinliang Diao ◽  
Weinong Sun ◽  
Sai Wing Leung ◽  
Kwok Hung Chan ◽  
Yun Ming Siu

2013 ◽  
Vol 341-342 ◽  
pp. 748-753
Author(s):  
Jia Ni Qian ◽  
Tian Wang ◽  
Xi Peng Lv ◽  
Yun Long Tang ◽  
Xiu Fen Ye

For better realization of the function of Chemical oxygen demand (COD) online measuring instrument and improving its measurement accuracy , a good calibration and identification of signals collected is needed. During the process, the problem on parameter identification of undetermined function can be transformed into function optimization. Considering the characteristics of genetic algorithm It is introduced into the function identification of the measuring system and compare it with the radial basis function neural network. As for the premature of population evolutionary process, this article presents the method to select operators according to genetic fitness value of each individual and designs a set of system identifier based on Genetic Algorithm to identify the system. Finally, test the experimental data get from water bath in the lab dish. The relative error of output value does not exceed 8%.The experiment results show that genetic algorithm has a good effect in the system identifier on the calibration and identification of COD measuring system, better than radial basis function neural network.


Author(s):  
Sebasthiyar Anita ◽  
Panchnathan Aruna Priya

Background: Parkinson’s Disease (PD) is caused by the deficiency of dopamine, the neurotransmitter that has an effect on specific uptake region of the substantia nigra. Identification of PD is quite tough at an early stage. Objective: The present work proposes an expert system for three dimensional Single-Photon Emission Computed Tomography (SPECT) image to diagnose the early PD. Methods: The transaxial image slices are selected on the basis of their high specific uptake region. The processing techniques like preprocessing, segmentation and feature extraction are implemented to extract the quantification parameters like Intensity, correlation, entropy, skewness and kurtosis of the images. The Support Vector Machine (SVM) and Extreme Learning Machine (ELM) classifiers using Radial Basis Function kernel (RBF) are implemented and their results are compared in order to achieve better performance of the system. The performance of the system is evaluated in terms of sensitivity, specificity analysis, accuracy, Receiver Operating Curve (ROC) and Area Under the Curve (AUC). Results: It is found that RBF-ELM provides high accuracy of 98.2% in diagnosing early PD. In addition, the similarity among the features is found out using K-means clustering algorithm to compute the threshold level for early PD. The computed threshold level is validated using Analysis of Variance (ANOVA). Conclusion: The proposed system has a great potential to assist the clinicians in the early diagnosis process of PD.


Mathematics ◽  
2018 ◽  
Vol 6 (12) ◽  
pp. 327 ◽  
Author(s):  
Phatiphat Thounthong ◽  
Muhammad Khan ◽  
Iltaf Hussain ◽  
Imtiaz Ahmad ◽  
Poom Kumam

In this paper, the symmetric radial basis function method is utilized for the numerical solution of two- and three-dimensional elliptic PDEs. Numerical results are obtained by using a set of uniform or random points. Numerical tests are accomplished to demonstrate the efficacy and accuracy of the method on both regular and irregular domains. Furthermore, the proposed method is tested for the solution of elliptic PDE in the case of various frequencies.


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