Abstract: In recent years, deep learning-based methods have been successfully applied to the image distortion restoration tasks.However, scenarios that assume a single distortion only may not be suitable for many real-world applications.To deal with such cases, some studies have proposed sequentially combined distortions datasets.Viewing in a different point of combining, we introduce a spatially-heterogeneous distortion dataset in which multiple corruptions are applied to the different locations of each image.In addition, we also propose a mixture of experts network to effectively restore a multi-distortion image.Motivated by the multi-task learning, we design our network to have multiple paths that learn both common and distortion-specific representations.Our model is effective for restoring real-world distortions and we experimentally verify that our method outperforms other models designed to manage both single distortion and multiple distortions.