One-particle system Let be the [ Lagrangian ] for a system with time-varying position and velocity , with forces defined by a potential…
References: Jess Riedel on the Legendre transform in physics Stack Overflow discussion Prof. V. Balakrishnan on Hamiltonian dynamics…
Given a [ constrained optimization ] problem over a [ convex ] function , we consider the [ Lagrangian ] function introducing variables…
We often see optimization problems with objectives of the form where is the main function of interest (e.g., training loss in machine…
We're given a [ constrained optimization ] problem Note that the standard formulation of Lagrange multipliers handles only equality…
(notes loosely based on the Berkeley deep RL course lecture ) Setup: RL with policy gradients The basic setup is that we want to optimize…
What are Hamiltonian dynamics? A system has [ phase space ] coordinates (p, q) , representing momenta and positions respectively. How do…