2 papers
math.AP2026
New result on Lane-Emden conjecture with exponents in a disk
Haoyang Lu, Zhitao Zhang
We obtain new results on Lane-Emden conjecture to prove a Liouville theorem for the Lane-Emden system $$\begin{cases} -Δu=v^p,& x\in \mathbb{R}^N,\\ -Δv=u^q,& x\in \mathbb{R}^N,\en…
cs.LG2025
Unpacking the Implicit Norm Dynamics of Sharpness-Aware Minimization in Tensorized Models
Tianxiao Cao, Kyohei Atarashi, Hisashi Kashima
Sharpness-Aware Minimization (SAM) has been proven to be an effective optimization technique for improving generalization in overparameterized models. While prior works have explor…