Recently, training support vector machines with indefinite kernels has attracted great attention in the machine learning community. In this paper, we tackle this problem by formulating a joint optimization model over SVM classifications and kernel principal component analysis. We first reformulate the kernel principal component analysis as a general kernel transformation framework, and then incorporate it into the SVM classification to formulate a joint optimization model. The proposed model has the advantage of making consistent kernel transformations over training and test samples. It can be used for both binary classification and multiclass classification problems. Our experimental results on both synthetic data sets and real world data sets show the proposed model can significantly outperform related approaches. Copyright

26th AAAI Conference on Artificial Intelligence and the 24th Innovative Applications of Artificial Intelligence Conference, AAAI-12 / IAAI-12
School of Computer Science

Gu, S. (Suicheng), & Guo, Y. (2012). Learning SVM classifiers with indefinite kernels. In Proceedings of the National Conference on Artificial Intelligence (pp. 942–948).