3 papers
cs.LG2025
Solving Oversmoothing in GNNs via Nonlocal Message Passing: Algebraic Smoothing and Depth Scalability
Weiqi Guan, Junlin He
The relationship between Layer Normalization (LN) placement and the oversmoothing phenomenon remains underexplored. We identify a critical dilemma: Pre-LN architectures avoid overs…
cs.LG2025
Measuring Over-smoothing beyond Dirichlet energy
Weiqi Guan, Zihao Shi
While Dirichlet energy serves as a prevalent metric for quantifying over-smoothing, it is inherently restricted to capturing first-order feature derivatives. To address this limita…
math.AP2025
Existence of normalized solutions to nonlinear Schrödinger equations with potential on lattice graphs
Weiqi Guan
We study the existence of ground state normalized solution of the following Schrödinger equation: \begin{equation*} \begin{cases} -Δu+V(x)u+λu=f(x,u), & x\in\mathbb{Z}^d \\ \Vert u…