Cutting Plane

Cutting planes are additional constraints added to mathematical optimization problems, particularly integer linear programs (ILPs), to improve the efficiency of finding optimal solutions. Current research focuses on learning-based approaches to select the most effective cutting planes, including using machine learning models to guide both the addition and removal of constraints, and to optimize the order and number of cuts applied. These advancements aim to significantly accelerate the solution process for complex optimization problems, impacting fields ranging from operations research and logistics to robotics and AI verification.