Zobrazeno 1 - 10
of 471
pro vyhledávání: '"Huang, Xiaomeng"'
In this article, we establish the existence of solutions to the following critical Hartree equation \begin{align*} \begin{cases} -\Delta u=\left(\int_{\Omega_\varepsilon}\frac{u^{2_{\mu}^*}}{|x-y|^{\mu}}dy\right)u^{2_{\mu}^*-1}, &\text{ in } \Omega_\
Externí odkaz:
http://arxiv.org/abs/2407.02438
Autor:
Wu, Hao, Shi, Xingjian, Huang, Ziyue, Zhao, Penghao, Xiong, Wei, Xue, Jinbao, Tao, Yangyu, Huang, Xiaomeng, Wang, Weiyan
Data-driven deep learning has emerged as the new paradigm to model complex physical space-time systems. These data-driven methods learn patterns by optimizing statistical metrics and tend to overlook the adherence to physical laws, unlike traditional
Externí odkaz:
http://arxiv.org/abs/2405.17051
Addressing complex meteorological processes at a fine spatial resolution requires substantial computational resources. To accelerate meteorological simulations, researchers have utilized neural networks to downscale meteorological variables from low-
Externí odkaz:
http://arxiv.org/abs/2404.17611
Autor:
He, Zhongjiang, Wang, Zihan, Liu, Xinzhang, Liu, Shixuan, Yao, Yitong, Huang, Yuyao, Li, Xuelong, Li, Yongxiang, Che, Zhonghao, Zhang, Zhaoxi, Wang, Yan, Wang, Xin, Pu, Luwen, Xu, Huinan, Fang, Ruiyu, Zhao, Yu, Zhang, Jie, Huang, Xiaomeng, Lu, Zhilong, Peng, Jiaxin, Zheng, Wenjun, Wang, Shiquan, Yang, Bingkai, he, Xuewei, Jiang, Zhuoru, Xie, Qiyi, Zhang, Yanhan, Li, Zhongqiu, Shi, Lingling, Fu, Weiwei, Zhang, Yin, Huang, Zilu, Xiong, Sishi, Zhang, Yuxiang, Wang, Chao, Song, Shuangyong
In this technical report, we present TeleChat, a collection of large language models (LLMs) with parameters of 3 billion, 7 billion and 12 billion. It includes pretrained language models as well as fine-tuned chat models that is aligned with human pr
Externí odkaz:
http://arxiv.org/abs/2401.03804
Ocean modeling is a powerful tool for simulating the physical, chemical, and biological processes of the ocean, which is the foundation for marine science research and operational oceanography. Modern numerical ocean modeling mainly consists of gover
Externí odkaz:
http://arxiv.org/abs/2308.03152
Accurate and timely prediction of sea fog is very important for effectively managing maritime and coastal economic activities. Given the intricate nature and inherent variability of sea fog, traditional numerical and statistical forecasting methods a
Externí odkaz:
http://arxiv.org/abs/2307.10580
The lacking of analytic solutions of diverse partial differential equations (PDEs) gives birth to a series of computational techniques for numerical solutions. Although numerous latest advances are accomplished in developing neural operators, a kind
Externí odkaz:
http://arxiv.org/abs/2301.10022
Numerous physics theories are rooted in partial differential equations (PDEs). However, the increasingly intricate physics equations, especially those that lack analytic solutions or closed forms, have impeded the further development of physics. Comp
Externí odkaz:
http://arxiv.org/abs/2301.01104
Reinforcement learning is applied to solve actual complex tasks from high-dimensional, sensory inputs. The last decade has developed a long list of reinforcement learning algorithms. Recent progress benefits from deep learning for raw sensory signal
Externí odkaz:
http://arxiv.org/abs/2210.11262
Autor:
Chen, Wenjing, Huang, Xiaomeng
This paper is concerned with the following biharmonic problem \begin{equation}\label{ineq} \begin{cases} \Delta^2 u=|u|^{\frac{8}{N-4}}u &\text{ in } \ \Omega\backslash \overline{{B(\xi_0,\varepsilon)}}, u=\Delta u=0 &\text{ on } \ \partial (\Omega \
Externí odkaz:
http://arxiv.org/abs/2202.06006