Zobrazeno 1 - 10
of 511
pro vyhledávání: '"Lu, Siyuan"'
Automatic prompt optimization is an important approach to improving the performance of large language models (LLMs). Recent research demonstrates the potential of using LLMs as prompt optimizers, which can generate improved task prompts via iterative
Externí odkaz:
http://arxiv.org/abs/2402.17564
Addressing the discrepancies between predictions and actual outcomes often aids individuals in expanding their thought processes and engaging in reflection, thereby facilitating reasoning in the correct direction. In this paper, we introduce $\textbf
Externí odkaz:
http://arxiv.org/abs/2402.11534
Autor:
Lu, Siyuan
In this paper, we study the interior $C^2$ regularity problem for the Hessian quotient equation $\left(\frac{\sigma_n}{\sigma_k}\right)(D^2u)=f$. We give a complete answer to this longstanding problem: for $k=n-1,n-2$, we establish an interior $C^2$
Externí odkaz:
http://arxiv.org/abs/2401.12229
Realization of the long sought on-chip scalable photonic quantum information processing networks has been thwarted by the absence of spatially-ordered and scalable on-demand single photon emitters with emission figures-of-merit exceeding the required
Externí odkaz:
http://arxiv.org/abs/2312.15132
Autor:
Lu, Siyuan
In this paper, we establish an interior $C^2$ estimate for the Hessian quotient equation $\left(\frac{\sigma_3}{\sigma_1}\right)(D^2u)=f$ in dimension three. A crucial ingredient in our proof is a Jacobi inequality.
Externí odkaz:
http://arxiv.org/abs/2311.05835
Autor:
Liu, Yangdong, Lu, Siyuan, Tu, Hongyi, Zhang, Boyuan, Zhao, Yaqin, He, Jiasheng, He, Liangliang, Chen, Zhenbin
Publikováno v:
Pigment & Resin Technology, 2023, Vol. 53, Issue 5, pp. 549-556.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/PRT-06-2022-0076
Autor:
Lu, Siyuan
In this paper, we establish a curvature estimate for semi-convex solutions of Hessian equations in hyperbolic space. We also obtain a curvature estimate for admissible solutions to prescribed curvature measure type problem in hyperbolic space. A cruc
Externí odkaz:
http://arxiv.org/abs/2302.12409
With the development of deep learning and Transformer-based pre-trained models like BERT, the accuracy of many NLP tasks has been dramatically improved. However, the large number of parameters and computations also pose challenges for their deploymen
Externí odkaz:
http://arxiv.org/abs/2211.08842
Publikováno v:
Cailiao Baohu, Vol 57, Iss 2, Pp 134-143 (2024)
To better understand the influence of the rolling forming process on the pitting corrosion performance of stainless steel plates,the microstructure evolution, carbide precipitation and pitting corrosion mechanism of cold-rolled and hot-rolled S40
Externí odkaz:
https://doaj.org/article/c41dadf31975497aaaad05781841c12f
Autor:
Lu, Siyuan
In this paper, we solve the asymptotic Plateau problem in hyperbolic space for constant $\sigma_{n-1}$ curvature, i.e. the existence of a complete hypersurface in $\mathbb{H}^{n+1}$ satisfying $\sigma_{n-1}(\kappa)=\sigma\in (0,n)$ with a prescribed
Externí odkaz:
http://arxiv.org/abs/2206.00161