Zobrazeno 1 - 10
of 287
pro vyhledávání: '"Li, Qinfeng"'
Autor:
Zhang, Yucheng, Li, Qinfeng, Du, Tianyu, Zhang, Xuhong, Zhao, Xinkui, Feng, Zhengwen, Yin, Jianwei
Retrieval-Augmented Generation (RAG) systems enhance large language models (LLMs) by integrating external knowledge, making them adaptable and cost-effective for various applications. However, the growing reliance on these systems also introduces pot
Externí odkaz:
http://arxiv.org/abs/2410.22832
Autor:
Li, Qinfeng, Xie, Yangfan, Du, Tianyu, Shen, Zhiqiang, Qin, Zhenghan, Peng, Hao, Zhao, Xinkui, Zhu, Xianwei, Yin, Jianwei, Zhang, Xuhong
Proprietary large language models (LLMs) demonstrate exceptional generalization ability across various tasks. Additionally, deploying LLMs on edge devices is trending for efficiency and privacy reasons. However, edge deployment of proprietary LLMs in
Externí odkaz:
http://arxiv.org/abs/2410.13903
We investigate the location of the maximal gradient of the torsion function on some non-symmetric planar domains. First, for triangles, by reflection method, we show that the maximal gradient of the torsion function always occurs on the longest sides
Externí odkaz:
http://arxiv.org/abs/2406.04790
Autor:
Li, Qinfeng, Shen, Zhiqiang, Qin, Zhenghan, Xie, Yangfan, Zhang, Xuhong, Du, Tianyu, Yin, Jianwei
Proprietary large language models (LLMs) have been widely applied in various scenarios. Additionally, deploying LLMs on edge devices is trending for efficiency and privacy reasons. However, edge deployment of proprietary LLMs introduces new security
Externí odkaz:
http://arxiv.org/abs/2404.11121
Motivated by establishing Neumann Talenti type comparison results, we concern the minimization of the following shape functional under volume constraint: \begin{align*} T(\Omega):=\inf\left\{\frac12 \int_{\Omega} |\nabla u|^2\,dx -\int_\Omega u\,dx:
Externí odkaz:
http://arxiv.org/abs/2311.01418
Autor:
Li, Qinfeng, yao, Ruofei
It has been a widely belief that for a planar convex domain with two coordinate axes of symmetry, the location of maximal norm of gradient of torsion function is either linked to contact points of largest inscribed circle or connected to points on bo
Externí odkaz:
http://arxiv.org/abs/2308.08273
Autor:
Li, Qinfeng, Xu, Lu
Motivated from one-dimensional rigidity results of entire solutions to Liouville equation, we consider the semilinear equation \begin{align} \label{liouvilleequationab} \Delta u=G(u) \quad \mbox{in $\mathbb{R}^n$}, \end{align}where $G>0, G'<0$ and $G
Externí odkaz:
http://arxiv.org/abs/2308.00940
Autor:
Li, Qinfeng, Yang, Hang
We consider shape optimization problems of maximizing the averaged heat under various boundary conditions. Assuming that the heat source is radial, we obtain several local stability and global optimality results on ball shape. As a byproduct of stabi
Externí odkaz:
http://arxiv.org/abs/2307.09303
In the present paper, we study the boundary concentration breaking phenomena on two thermal insulation problems considered on Lipschitz domains, based on Serrin's overdetermined results, perturbation argument and comparison of Laplacian eigenvalues w
Externí odkaz:
http://arxiv.org/abs/2303.07565
Let $\Omega$ be a bounded Lipshcitz domain in $\mathbb{R}^n$ and we study boundary behaviors of solutions to the Laplacian eigenvalue equation with constant Neumann data. \begin{align} \label{cequation0} \begin{cases} -\Delta u=cu\quad &\mbox{in $\Om
Externí odkaz:
http://arxiv.org/abs/2211.15110