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math.PR2025
Marginal dynamics of probabilistic cellular automata on trees
Daniel Lacker, Kavita Ramanan, Ruoyu Wu
We study locally interacting processes in discrete time, often called probabilistic cellular automata, indexed by locally finite graphs. For infinite regular trees and certain gene…
stat.ML2025
A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo
Daniel Lacker, Fuzhong Zhou
The unadjusted Langevin algorithm is widely used for sampling from complex high-dimensional distributions. It is well known to be biased, with the bias typically scaling linearly w…