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bias delocalization 1hamiltonian monte carlo 1high-dimensional sampling 1underdamped langevin 1Wasserstein distance 1

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20242026
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stat.CO2026

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin

Yifan Chen, Xiaoou Cheng, Jonathan Niles-Weed +1

The paper analyzes the bias of unadjusted Hamiltonian Monte Carlo and underdamped Langevin samplers, showing that controlling the Wasserstein‑2 bias of any marginal requires only O…