Accelerating Non-Smooth and Heavy-Tailed Sampling

arXiv:2610.11139 · stat.ML, cs.LG, math.PR · Submitted 2026-10-08 · Read on arXiv

stat.ML, cs.LG, math.PR

Submitted: 2026-10-08

Updated: 2026-10-08

Terminology

• Langevin Dynamics — 52× in this paper · explained in 2 episodes
• Accuracy — 23× in this paper · explained in 1 episode
• Core — 9× in this paper · explained in 2 episodes
• Spectral Gap — 7× in this paper · explained in 5 episodes
• Convergence Guarantees — 4× in this paper · explained in 3 episodes
• Wasserstein Distance — 3× in this paper · explained in 4 episodes
• 2-Wasserstein Distance — 2× in this paper · explained in 1 episode
• Bayesian Inference — 2× in this paper · explained in 5 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Diffusion Processes — 1× in this paper · explained in 2 episodes
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Lyapunov function — 1× in this paper · explained in 2 episodes
• Theoretical Guarantees — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Adaptive Stereographic MCMC
• Non-Reversible Langevin Algorithms for Constrained Sampling
• Generalized EXTRA stochastic gradient Langevin dynamics
• Anchored Langevin Algorithms
• Non-Convex Optimization via Non-Reversible Stochastic Gradient Langevin Dynamics
• Decentralized Proximal Stochastic Gradient Langevin Dynamics
• Reflected Anchored Langevin Algorithms
• Accelerating Langevin Monte Carlo Sampling: A Large Deviations Analysis

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