From the 1 of 12 linked papers with an AI index.
12 papers
Sharp small-deviation inequalities for sums of independent nonnegative random variables
Weibo Fu, Yanjun Han, Guanyang Wang +3
Let be independent nonnegative random variables with , and write . For , we prove that \[ \mathbb{P}\left(S<\mathbb{E} S+Î…
Spectral Gap for the Binary Fixed-Margin Swap Chain
Weibo Fu, Qian Qin, Guanyang Wang
The paper establishes an explicit lower bound on the spectral gap of the lazy swap chain used to sample binary matrices with given row and column sums, thereby proving the Kannan‑T…
Weak Diffusion Priors Can Still Achieve Strong Inverse-Problem Performance
Jing Jia, Wei Yuan, Sifan Liu +2
Can a diffusion model trained on bedrooms recover human faces? Diffusion models are widely used as priors for inverse problems, but standard approaches usually assume a high-fideli…
Markov chain Monte Carlo without evaluating the target: an auxiliary variable approach
Wei Yuan, Guanyang Wang
In sampling tasks, it is common for target distributions to be known up to a normalizing constant. However, in many situations, even evaluating the unnormalized distribution can be…
TabClustPFN: A Prior-Fitted Network for Tabular Data Clustering
Tianqi Zhao, Guanyang Wang, Yan Shuo Tan +1
Clustering tabular data is a fundamental yet challenging problem due to heterogeneous feature types, diverse data-generating mechanisms, and the absence of transferable inductive b…
Beyond Accuracy: Evaluating Posterior Fidelity of Diffusion Inverse Solvers
Xiaoyu Qiu, Taewon Yang, Zhanhao Liu +2
Uncertainty evaluation is critical in scientific and engineering inverse problems. However, existing benchmarks on Diffusion Inverse Solvers (DIS) primarily focus on reconstruction…