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

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stat.ML2025

Convergence of Unadjusted Langevin in High Dimensions: Delocalization of Bias

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

The unadjusted Langevin algorithm is commonly used to sample probability distributions in extremely high-dimensional settings. However, existing analyses of the algorithm for stron…