Showing math.PRShow all
2 papers · 1 filter
math.PR2026
Path-Dependent Ergodic Optimal Control and Backward Stochastic Differential Equations
Xuyang Lin, Mathieu Lise, Nizar Touzi
We investigate a new class of infinite-horizon backward stochastic differential equations for ergodic optimal control where the cost and state dynamics are time and path-dependent.…
math.PR2026
Convergence rates for an Adaptive Biasing Potential scheme from a Wasserstein optimization perspective
Tony Lelièvre, Xuyang Lin, Pierre Monmarché
Free-energy-based adaptive biasing methods, such as Metadynamics, the Adaptive Biasing Force (ABF) and their variants, are enhanced sampling algorithms widely used in molecular sim…