Linear Optimization Oracle

A linear optimization oracle (LOO) is a subroutine that efficiently solves linear optimization problems within a given constraint set, serving as a crucial component in various optimization algorithms. Current research focuses on developing projection-free methods that leverage LOOs to overcome computational bottlenecks associated with traditional projection-based approaches, particularly in high-dimensional or complex constraint settings; this includes exploring algorithms for online convex optimization, reinforcement learning, and adversarial robust streaming. The development of efficient and robust LOOs has significant implications for improving the scalability and performance of numerous machine learning and optimization tasks across diverse fields.