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Yixiao Yu

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Preprint Oct 2026

Simulated annealing and Weak Poincar\'e inequalities with inverse-polynomial accuracy for the Sherrington-Kirkpatrick model

We study sampling from the Gibbs distribution of the Sherrington-Kirkpatrick (SK) model with Glauber dynamics. For every fixed inverse temperature $0\leq\beta<1$ and every fixed $M,D>0$, we give a polynomial-time simulated annealing algorithm whose output distribution is within $n^{-M}$ total-variation distance of the...

Zhe Hou, Jing-Cheng Liu, Yi-Xiao Yu · 0 citations
Preprint Jul 2026

Learning $\mathsf{AC}^0$ under Locally Sampleable Graphical Models

A quasipolynomial-time learner for $\mathsf{AC}^0$ under graphical models that admit efficient local samplers, circumventing the polynomial-growth requirement in prior work.

Weiming Feng, Xiongxin Yang, Yixiao Yu et al. · 0 citations

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