Hamiltonian

Sat, 18 Jul 2026 09:33:06 +0000

Definition

Originating from classical mechanics, the Hamiltonian represents the sum of kinetic and potential energies in a system. In AI, Hamiltonian Neural Networks (HNNs) incorporate this concept to learn dynamical systems that strictly conserve energy, ensuring physically plausible predictions. By encoding the Hamiltonian into the network architecture, these models achieve better generalization and stability over long time horizons compared to standard neural ODEs. This is particularly useful in scientific machine learning applications involving fluid dynamics, celestial mechanics, and molecular simulations.

Physics ML on English AI Terms Dictionary

Hamiltonian

Definition