Zhipeng Cheng — Page 2

arXiv2020

Learning-Based Joint User-AP Association and Resource Allocation in Ultra Dense Network

With the advantages of Millimeter wave in wireless communication network, the coverage radius and inter-site distance can be further reduced, the ultra dense network (UDN) becomes the mainstream of future networks. The main challenge faced by UDN is the serious inter-site interference, which needs to be carefully addressed by joint user association and resource allocation methods. In this paper, we propose a multi-agent Q-learning based method to jointly optimize the user association and resource allocation in UDN. The deep Q-network is applied to guarantee the convergence of the proposed method. Simulation results reveal the effectiveness of the proposed method and different performances under different simulation parameters are evaluated.

cs.NI↗

arXiv2016

Stability and instability of standing waves for a generalized Choquard equation with potential

We are going to study the standing waves for a generalized Choquard equation with potential: $$ -i\partial_t u-Δu+V(x)u=(|x|^{-μ}\ast|u|^p)|u|^{p-2}u, \ \ \hbox{in}\ \ \mathbb{R}\times\mathbb{R}^3, $$ where $V(x)$ is a real function, $0<μ<3$, $2-μ/3<p<6-μ$ and $\ast$ stands for convolution. Under suitable assumptions on the potential and appropriate frequency $ω$ , the stability and instability of the standing waves $u=e^{i ωt}φ(x)$ are investigated .

math.AP↗