Impact of loss function in Deep Learning methods for accurate retinal vessel segmentation

Daniela Herrera, G. Ochoa-Ruiz, M. González-Mendoza, Christian Mata
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Abstract

The retinal vessel network studied through fundus images contributes to the diagnosis of multiple diseases not only found in the eye. The segmentation of this system may help the specialized task of analyzing these images by assisting in the quantification of morphological characteristics. Due to its relevance, several Deep Learning-based architectures have been tested for tackling this problem automatically. However, the impact of loss function selection on the segmentation of the intricate retinal blood vessel system hasn't been systematically evaluated. In this work, we present the comparison of the loss functions Binary Cross Entropy, Dice, Tversky, and Combo loss using the deep learning architectures (i.e. U-Net, Attention U-Net, and Nested UNet) with the DRIVE dataset. Their performance is assessed using four metrics: the AUC, the mean squared error, the dice score, and the Hausdorff distance. The models were trained with the same number of parameters and epochs. Using dice score and AUC, the best combination was SA-UNet with Combo loss, which had an average of 0.9442 and 0.809 respectively. The best average of Hausdorff distance and mean square error were obtained using the Nested U-Net with the Dice loss function, which had an average of 6.32 and 0.0241 respectively. The results showed that there is a significant difference in the selection of loss function
深度学习方法中损失函数对视网膜血管精确分割的影响
通过眼底图像研究视网膜血管网络有助于诊断多种疾病,而不仅仅是眼部疾病。该系统的分割可以通过协助形态学特征的量化来帮助分析这些图像的专门任务。由于它的相关性,一些基于深度学习的架构已经被测试来自动解决这个问题。然而,损失函数选择对复杂视网膜血管系统分割的影响尚未得到系统评价。在这项工作中,我们使用深度学习架构(即U-Net, Attention U-Net和Nested UNet)与DRIVE数据集比较了损失函数二进制交叉熵,Dice, Tversky和Combo损失。它们的性能是用四个指标来评估的:AUC、均方误差、骰子得分和豪斯多夫距离。这些模型用相同数量的参数和时间进行训练。综合dice score和AUC,最佳组合为SA-UNet + Combo loss,平均值分别为0.9442和0.809。基于Dice损失函数的嵌套U-Net方法的Hausdorff距离均值和均方误差均值最佳,分别为6.32和0.0241。结果表明,在损失函数的选择上存在显著差异
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