Title: Sample Importance in SGD Training. Abstract: Deep learning requires increasingly bigger models and datasets to improve generalization on unseen data, where some training data samples may be more informative than others. We investigate this assumption in supervised image classification by biasing SGD (Stochastic Gradient Descent) to sample important samples more often during training of a classifier. In contrast to state-of-the-art, our approach does not require additional training iterations to estimate the sample importance, because it computes estimates once during training using the training prediction probabilities. In experiments, we see that our learning technique converges on par or faster in terms of training iterations and can achieve higher test accuracy compared to state-of-the-art, especially when datasets are not suitably balanced. Results suggest that sample importance has intrinsic balancing properties and that an importance weighted class distribution can converge faster than the usual balanced class distribution. Finally, in contrast to recent work, we find that sample importance is model dependent. Therefore, calculating sample importance during training, rather than in a pre-processing step, may be the only viable way to go.