IoU is not submodular
This correction addresses a theoretical error in machine learning, particularly relevant for applications like semantic segmentation and imbalanced data, but it is incremental as it focuses on clarifying an existing concept.
The paper demonstrates that the Intersection over Union (IoU) is not a submodular function, correcting a mistake in a foundational article that has been cited and used in other works.
This short article aims at demonstrate that the Intersection over Union (or Jaccard index) is not a submodular function. This mistake has been made in an article which is cited and used as a foundation in another article. The Intersection of Union is widely used in machine learning as a cost function especially for imbalance data and semantic segmentation.