Pengfei Tang

collaborators

3 papers

math.PR2023

The union of independent USFs on $Z^{d}$ is transient

Eleanor Archer, Asaf Nachmias, Matan Shalev +1

We show that the union of two or more independent uniform spanning forests (USF) on $Z^{d}$ with $d \geq 3$ almost surely forms a connected transient graph. In fact, this als…

cs.CL2023★ 2 cited

Evoke: Evoking Critical Thinking Abilities in LLMs via Reviewer-Author Prompt Editing

Xinyu Hu, Pengfei Tang, Simiao Zuo +5

Large language models (LLMs) have made impressive progress in natural language processing. These models rely on proper human instructions (or prompts) to generate suitable response…

math.PR2016

Superlinearity of geodesic length in 2 $D$ critical first-passage percolation

Michael Damron, Pengfei Tang

First-passage percolation is the study of the metric space $(Z^{d}, T)$ , where $T$ is a random metric defined as the weighted graph metric using random edge-weights $(t_e)_{e…

The union of independent USFs on Zd is transient

Evoke: Evoking Critical Thinking Abilities in LLMs via Reviewer-Author Prompt Editing

Superlinearity of geodesic length in 2D critical first-passage percolation

The union of independent USFs on $Z^{d}$ is transient

Superlinearity of geodesic length in 2 $D$ critical first-passage percolation