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Yu-Chen Xin

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#machine learning Preprint Sep 2026

Near-Linear Accuracy Bounds for Moreau--Yosida Unadjusted Langevin Sampling

We establish near-linear accuracy bounds for the classical Moreau--Yosida unadjusted Langevin algorithm (MYULA). The target is $\pi\propto e^{-f-g}$, where $f\in C^2(\mathbb{R}^d)$ is $m$-strongly convex with Lipschitz gradient and $g$ is convex and globally Lipschitz. Under an explicit parameter-dependent step-size co...

Yu-Chen Xin, Zhi-Hua Zhang · 0 citations
#machine learning Preprint Sep 2026

Poisson-Corrector Complexity Bounds for Moreau--Yosida Unadjusted Langevin Sampling

We study the classical Moreau--Yosida unadjusted Langevin algorithm (MYULA) for $\pi(\,\mathrm{d} x)\propto e^{-f(x)-g(x)}\,\mathrm{d} x$, where $f\in C^2(\mathbb{R}^d)$ is $m$-strongly convex with $L_f$-Lipschitz gradient and $g:\mathbb{R}^d\to\mathbb{R}$ is convex and globally $G$-Lipschitz. For the Moreau-smoothed t...

Yu-Chen Xin, Zhi-Hua Zhang · 0 citations

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