An automatic method for selecting the parameter of the RBF kernel function to support vector machines

Author(s):  
Cheng-Hsuan Li ◽  
Chin-Teng Lin ◽  
Bor-Chen Kuo ◽  
Hui-Shan Chu
2003 ◽  
Vol 15 (7) ◽  
pp. 1667-1689 ◽  
Author(s):  
S. Sathiya Keerthi ◽  
Chih-Jen Lin

Support vector machines (SVMs) with the gaussian (RBF) kernel have been popular for practical use. Model selection in this class of SVMs involves two hyper parameters: the penalty parameter C and the kernel width σ. This letter analyzes the behavior of the SVM classifier when these hyper parameters take very small or very large values. Our results help in understanding the hyperparameter space that leads to an efficient heuristic method of searching for hyperparameter values with small generalization errors. The analysis also indicates that if complete model selection using the gaussian kernel has been conducted, there is no need to consider linear SVM.


2009 ◽  
Vol 30 (3) ◽  
pp. 577-594 ◽  
Author(s):  
X. Cao ◽  
J. Chen ◽  
B. Matsushita ◽  
H. Imura ◽  
L. Wang

2011 ◽  
Vol 36 (2) ◽  
pp. 99-115 ◽  
Author(s):  
Quanzhong Liu ◽  
Chihau Chen ◽  
Yang Zhang ◽  
Zhengguo Hu

Author(s):  
LIGANG ZHOU ◽  
KIN KEUNG LAI ◽  
JEROME YEN

Credit scoring models are very important tools for financial institutions to make credit granting decisions. In the last few decades, many quantitative methods have been used for the development of credit scoring models with focus on maximizing classification accuracy. This paper proposes the credit scoring models with the area under receiver operating characteristics curve (AUC) maximization based on the new emerged support vector machines (SVM) techniques. Three main SVM models with different features weighted strategies are discussed. The weighted SVM credit scoring models are tested using 10-fold cross validation with two real world data sets and the experimental results are compared with other six traditional methods including linear regression, logistic regression, k nearest neighbor, decision tree, and neural network. Results demonstrate that weighted 2-norm SVM with radial basis function (RBF) kernel function and t-test feature weighting strategy has the overall better performance with very narrow margin than other SVM models. However, it also consumes more computational time. In considering the balance of performance and time, least squares support vector machines (LSSVM) with RBF kernel maybe a better choice for large scale credit scoring applications.


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