Hamiltonian Function

Hamiltonian functions describe the energy of a system, a fundamental concept in physics with increasing relevance in machine learning. Current research focuses on learning Hamiltonian systems from data, employing methods like Hamiltonian neural networks and Gaussian processes, often incorporating constraints and conservation laws to improve accuracy and efficiency. This interdisciplinary approach promises advancements in areas such as AI reasoning, modeling complex physical systems, and developing more robust and efficient reinforcement learning algorithms. The ability to accurately learn and represent Hamiltonian systems has significant implications for various scientific fields and engineering applications.