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News

Updates to the results, comparisons, and supporting material in samplewiki.

  • Oct. 6, 2026: Added sharp Wasserstein bounds for midpoint discretizations of Langevin dynamics, showing that deterministic midpoint methods can beat randomized ones in high dimension.
  • Oct. 5, 2026: Added Wasserstein bias bounds for stochastic gradient LMC, which improve under a fourth moment assumption on the gradient noise.
  • Oct. 1, 2026: Added the Gaussian cloud sampler: a new high-accuracy bound for strongly log-concave sampling with improved dimension dependence.
  • Sep. 18, 2026: Added the optimal fixed-dimensional bounds for sampling with bounded variance stochastic gradients.
  • Sep. 9, 2026: Added Proximal BPS and smoothed Picard HMC: new high-accuracy and KL bounds for strongly log-concave sampling.
  • Aug. 10, 2026: Added a lower bound showing that the FI rate for averaged LMC in the non-log-concave setting is tight.
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Upper and lower bounds for canonical sampling settings.

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