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WeKnow-RAG: An Adaptive Approach for Retrieval-Augmented Generation Integrating Web Search and Knowledge Graphs

Autor: Xie, Weijian, Liang, Xuefeng, Liu, Yuhui, Ni, Kaihua, Cheng, Hong, Hu, Zetian

Large Language Models (LLMs) have greatly contributed to the development of adaptive intelligent agents and are positioned as an important way to achieve Artificial General Intelligence (AGI). However, LLMs are prone to produce factually incorrect in

Externí odkaz: http://arxiv.org/abs/2408.07611

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Akademický článek

On pairs of equations involving unlike powers of primes and powers of 2

Autor: Liu, Yuhui

Publikováno v: Comptes Rendus. Mathématique, Vol 358, Iss 4, Pp 393-400 (2020)

In this paper, it is proved that every pair of sufficiently large even integers can be represented by a pair of equations, each containing one prime, one prime square, two prime cubes and 302 powers of 2. This result constitutes a refinement upon tha

Externí odkaz: https://doaj.org/article/f9bf03e75b53418ca3aa47e3e43a510d

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A Stabilized Physics Informed Neural Networks Method for Wave Equations

Autor: Jiao, Yuling, Liu, Yuhui, Yang, Jerry Zhijian, Yuan, Cheng

In this article, we propose a novel Stabilized Physics Informed Neural Networks method (SPINNs) for solving wave equations. In general, this method not only demonstrates theoretical convergence but also exhibits higher efficiency compared to the orig

Externí odkaz: http://arxiv.org/abs/2403.19090

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On a binary Diophantine inequality involving primes of a special type

Autor: Liu, Yuhui

Let $10$ and for almost all real $R \in (N,2N]$, the Diophantine inequality $$|p_{1}^{c}+p_{2}^{c}-R|<(log N)^{-E}

Externí odkaz: http://arxiv.org/abs/2312.08565

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On sums of unequal powers of primes and powers of 2

Autor: Liu, Yuhui

In this paper, it is proved that every sufficiently large even integer can be represented as the sum of two squares of primes, two cubes of primes, two biquadrates of primes and 16 powers of 2. Furthermore, there are at least 5.313% odd integers that

Externí odkaz: http://arxiv.org/abs/2401.01355

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The exceptional set for Diophantine approximation with mixed powers of prime variables

Autor: Liu, Yuhui

Let lambda_1, \lambda_2, \lambda_3, \lambda_4 be non-zero real numbers, not all negative, with \lambda_1/\lambda_2 irrational and algebraic. Suppose that \mathcal{V} is a well-spaced sequence and \delta >0. In this paper, it is proved that for any \v

Externí odkaz: http://arxiv.org/abs/2312.06110

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