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math.NA2026
Two-scale Neural Networks for Singularly Perturbed Dynamical Systems with Multiple Parameters
Qiao Zhuang, Taorui Wang, Rita Wanjiku +2
We extend our two-scale neural-network method for scalar singularly perturbed problems with one small parameter to dynamical systems with multiple small parameters. To accommodate…
math.NA2026
State-dependent temperature control in Langevin diffusions using numerical exploratory Hamiltonian-Jacobi-Bellman equations
Taorui Wang, Xun Li, Gu Wang +1
Choosing how much noise to add in Langevin dynamics is essential for making these algorithms effective in challenging optimization problems. One promising approach is to determine…