TITLE:
Data Perturbation Analysis of the Support Vector Classifier Dual Model
AUTHORS:
Chun Cai, Xikui Wang
KEYWORDS:
Support Vector Classifier, Partial Derivative, Sensitivity, Stability
JOURNAL NAME:
Journal of Software Engineering and Applications,
Vol.11 No.10,
October
23,
2018
ABSTRACT: The paper establishes a theorem of data perturbation analysis for the support vector classifier dual problem, from which the data perturbation analysis of the corresponding primary problem may be performed through standard results. This theorem derives the partial derivatives of the optimal solution and its corresponding optimal decision function with respect to data parameters, and provides the basis of quantitative analysis of the influence of data errors on the optimal solution and its corresponding optimal decision function. The theorem provides the foundation for analyzing the stability and sensitivity of the support vector classifier.