Dilated Balanced cross entropy loss for medical image segmentation

A novel method for tackling the problem of imbalanced data in medical image segmentation is proposed in this work. In Balanced Cross Entropy (BCE) loss, which is a type of weighted CE loss, the weight assigned to each class is the inverse of the class frequency. These balancing weights are expected to equalize the effect of each class on the overall loss and prevent the model from being biased towards the majority class. But, as it has been shown in previous studies, this method degrades the performance by a large margin. Therefore, Balanced CE is not a popular loss in medical segmentation tasks, and usually a region-based loss, like the Dice loss, is used to address the class imbalance problem. Existing weighting CE loss approaches, like Balanced CE, are usually adapted from classification tasks. In this study we propose a weighting method which is designed for segmentation and takes advantage of spatial and geometrical properties of the labels. In the proposed method, the weighting of cross entropy loss for each class is based on a dilated area of each class mask, and balancing weights are assigned to each class together with its surrounding pixels. The goal of this study is to show that the performance of Balanced CE loss can be greatly improved my modifying its weighting strategy. Experiments on different datasets show that the proposed Dilated Balanced CE (DBCE) loss outperforms the Balanced CE loss by a large margin and produces superior results compared to CE loss, and its performance is similar or better compared to the performance of the combination of Dice and CE loss. Also, the performance of different combination losses can be improved by replacing the CE loss with the proposed DBCE loss. This study shows that a weighted cross entropy loss with the right weighing strategy can be as effective as a region-based loss in handling the class imbalance problem.