Geometric Programming

Geometric programming (GP) is a mathematical optimization technique used to solve problems involving posynomial functions, finding applications in diverse fields. Current research focuses on extending GP's capabilities to handle complex, hybrid problems, such as task and motion planning in robotics, often integrating it with logic-based approaches and incorporating techniques like dynamic tree search and reachability graphs to improve efficiency and scalability. These advancements are improving the performance of algorithms in areas like federated learning and genetic programming, leading to more efficient and robust solutions for real-world applications.