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pro vyhledávání: '"FU, Lei"'
High-frequency trading (HFT) represents a pivotal and intensely competitive domain within the financial markets. The velocity and accuracy of data processing exert a direct influence on profitability, underscoring the significance of this field. The
Externí odkaz:
http://arxiv.org/abs/2412.01062
Autor:
Fu, Lei, Li, Xuanyou
We define the hypergeometric exponential sum associated to a finite family of representations of a reductive group over a finite field. We introduce the hypergeometric $\ell$-adic sheaf to describe the behavior of the hypergeometric exponential sum.
Externí odkaz:
http://arxiv.org/abs/2411.11215
Autor:
Fu, Lei, Hu, Yuqing, Tang, Ning, Duan, Junxi, Jia, Xionghui, Yang, Huaiyuan, Li, Zhuoxian, Han, Xiangyan, Li, Guoping, Lu, Jianming, Dai, Lun, Ge, Weikun, Shen, Bo
Atomically thin hexagonal boron nitride (h-BN), especially monolayer, has garnered increasing attention due to its intriguing optical and light-matter-interaction properties. However, its intrinsic optical properties and electronic band structure, ha
Externí odkaz:
http://arxiv.org/abs/2410.12545
In addressing the pivotal role of translating natural language queries into SQL commands, we propose a suite of compact, fine-tuned models and self-refine mechanisms to democratize data access and analysis for non-expert users, mitigating risks assoc
Externí odkaz:
http://arxiv.org/abs/2409.15985
Autor:
Fu, Lei, Wan, Daqing
Let $B$ be a product of finitely many finite fields containing $\mathbb F_q$, $\psi:\mathbb F_q\to \overline{\mathbb Q}_\ell^*$ a nontrivial additive character, and $\chi: B^*\to \overline{\mathbb Q}_\ell^*$ a multiplicative character. Katz introduce
Externí odkaz:
http://arxiv.org/abs/2407.03599
We prove the Sato--Tate distribution of Kloosterman sums over function fields with explicit error terms, when the places vary in arithmetic progressions or short intervals. A joint Sato--Tate distribution of two ``different" exponential sums is also
Externí odkaz:
http://arxiv.org/abs/2406.10106
We prove an Erd\H{o}s--Tur\'an type inequality for compact Lie groups, from which we deduce an effective version of Deligne's equidistribution theorem.
Comment: Improve the estimates in the previous version
Comment: Improve the estimates in the previous version
Externí odkaz:
http://arxiv.org/abs/2406.09633
Real-world scenarios frequently involve multi-objective data-driven optimization problems, characterized by unknown problem coefficients and multiple conflicting objectives. Traditional two-stage methods independently apply a machine learning model t
Externí odkaz:
http://arxiv.org/abs/2406.00779
The global patent application count has steadily increased, achieving eight consecutive years of growth.The global patent industry has shown a general trend of expansion. This is attributed to the increasing innovation activities, particularly in the
Externí odkaz:
http://arxiv.org/abs/2404.15282