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Preprint Nov 2026

Subpolynomial-Query Proximal Sampling Beyond Log-Concavity

We study the gradient query complexity of sampling from a density $\pi(x)\propto\mathrm{e}^{-V(x)}$ on $\mathbb{R}^d$, where $V$ has a $\beta$-Lipschitz gradient but need not be convex. Our approach uses the proximal sampler, which alternates Gaussian perturbation with sampling a position conditional on the noisy obser...

Wei Guo, Bo Yuan, Ye He et al. · 0 citations
#artificial intelligence Preprint Oct 2026

Reflected Proximal Dynamics for Accelerated High-Accuracy Log-Concave Sampling

We study sampling from $\pi(x)\propto\mathrm{e}^{-V(x)}$ on $\mathbb{R}^d$, where $V$ is $\alpha$-strongly convex and $\beta$-smooth with condition number $\kappa=\beta/\alpha$. For this problem, the proximal sampler preserves the target exactly and recovers overdamped Langevin dynamics in the small-step limit, but its...

Bo Yuan, Wei Guo, Yong-Xin Chen · 2 citations

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