A data variation robust learning model based on importance sampling

A crucial assumption underlying the most current theory of machine learning is that the training distribution is identical to the testing distribution. However, this assumption may not hold in some real-world applications. In this paper, we propose an importance sampling based data variation robust loss (ISloss) for learning problems which minimizes the worst case of loss under the constraint of distribution deviation. The distribution deviation constraint can be converted to the constraint over a set of weight distributions centered on the uniform distribution derived from the importance sampling method. Furthermore, we reveal that there is a relationship between ISloss under the logarithmic transformation (LogISloss) and the p-norm loss. We apply the proposed LogISloss to the face verification problem on Racial Faces in the Wild dataset and show that the proposed method is robust under large distribution deviations.