2 papers
cs.LG2025
Heavy-Ball Momentum Method in Continuous Time and Discretization Error Analysis
Bochen Lyu, Xiaojing Zhang, Fangyi Zheng +3
This paper establishes a continuous time approximation, a piece-wise continuous differential equation, for the discrete Heavy-Ball (HB) momentum method with explicit discretization…
math.NA2025
Mechanical Proving the Symplecticity of Partitioned Runge--Kutta Methods for Determinate and Stochastic Hamiltonian Systems
Xiaojing Zhang
We propose a new method to prove the partitioned Runge--Kutta methods with symplectic conditions for determinate and stochastic Hamiltonian systems are symplectic. We utilize Gröb…