Discontinuity Discrimination
Discontinuity discrimination focuses on accurately identifying and representing abrupt changes or discontinuities within data, a crucial challenge across diverse fields. Current research emphasizes developing novel neural network architectures, including those based on neural fields, graph-informed networks, and attention mechanisms, to improve the detection and handling of discontinuities in images, signals, and functions. These advancements are driving improvements in applications ranging from image processing and computer vision (e.g., super-resolution, surface normal estimation) to economic modeling and medical image analysis (e.g., airway segmentation). The ability to robustly handle discontinuities is key to enhancing the accuracy and reliability of many computational methods.