A study on imbalance support vector machine algorithms for sufficient dimension reduction

Li, Artemiou and Li (2011) presented the novel idea of using Support Vector Machines to perform sufficient dimension reduction. In this work, we investigate the potential improvement in recovering the dimension reduction subspace when one changes the Support Vector Machines algorithm to treat imbalance based on several proposals in the machine learning literature. We find out that in most situations, treating the imbalance nature of the slices will help improve the estimation. Our results are verified through simulation and real data application