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New research improves Wasserstein mixing time estimates for Langevin algorithm

A new paper published on arXiv details improved estimates for the unadjusted Langevin algorithm's asymptotic bias. The research provides a new bound for Wasserstein mixing time, achieving an order of $\kappa \sqrt{d}/\varepsilon$. This represents a significant improvement over prior state-of-the-art results, offering a factor of $\sqrt{d}/\varepsilon$ enhancement. AI

IMPACT Offers theoretical improvements for algorithms used in machine learning and optimization.

RANK_REASON The cluster contains a single academic paper detailing theoretical improvements in an algorithm. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New research improves Wasserstein mixing time estimates for Langevin algorithm

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The cluster contains a single academic paper detailing theoretical improvements in an algorithm. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Francesco Pedrotti, Peter A. Whalley ·

    Wasserstein mixing time of the unadjusted Langevin algorithm

    arXiv:2608.02430v1 Announce Type: cross Abstract: We provide new estimates in Wasserstein distance for the asymptotic bias of the unadjusted Langevin algorithm, in the classical setting of log-smooth strongly log-concave measures. Our bound implies a Wasserstein mixing time of or…