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pro vyhledávání: '"XU, Ziyi"'
Autor:
Xu, Ziyi
We investigate the $W^{1,p}$ estimates of the Neumann problem for the Schr\"odinger equation $-\Delta u+ V u={\rm div}(f)$ in the region above a convex graph. For any $p>2$, we obtain a sufficient condition for the $W^{1,p}$ solvability. As a result,
Externí odkaz:
http://arxiv.org/abs/2411.18852
In this paper we investigate the $L^p$ regularity, $L^p$ Neumann and $W^{1,p}$ problems for generalized Schr\"odinger operator $-\text{div}(A\nabla )+ V $ in the region above a Lipschitz graph under the assumption that $A$ is elliptic, symmetric and
Externí odkaz:
http://arxiv.org/abs/2411.18458
Autor:
Xu, Ziyi, Huang, Ziyao, Cao, Juan, Zhang, Yong, Cun, Xiaodong, Shuai, Qing, Wang, Yuchen, Bao, Linchao, Li, Jintao, Tang, Fan
The automatic generation of anchor-style product promotion videos presents promising opportunities in online commerce, advertising, and consumer engagement. However, this remains a challenging task despite significant advancements in pose-guided huma
Externí odkaz:
http://arxiv.org/abs/2411.17383
Autor:
Dong, Yixin, Ruan, Charlie F., Cai, Yaxing, Lai, Ruihang, Xu, Ziyi, Zhao, Yilong, Chen, Tianqi
The applications of LLM Agents are becoming increasingly complex and diverse, leading to a high demand for structured outputs that can be parsed into code, structured function calls, and embodied agent commands. These developments bring significant d
Externí odkaz:
http://arxiv.org/abs/2411.15100
Open-generation bias benchmarks evaluate social biases in Large Language Models (LLMs) by analyzing their outputs. However, the classifiers used in analysis often have inherent biases, leading to unfair conclusions. This study examines such biases in
Externí odkaz:
http://arxiv.org/abs/2410.11059
Relative state estimation is crucial for vision-based swarms to estimate and compensate for the unavoidable drift of visual odometry. For autonomous drones equipped with the most compact sensor setting -- a stereo camera that provides a limited field
Externí odkaz:
http://arxiv.org/abs/2407.01292
The interactions between a large population of high-frequency traders (HFTs) and a large trader (LT) who executes a certain amount of assets at discrete time points are studied. HFTs are faster in the sense that they trade continuously and predict th
Externí odkaz:
http://arxiv.org/abs/2404.18200
Swarm robots have sparked remarkable developments across a range of fields. While it is necessary for various applications in swarm robots, a fast and robust coordinate initialization in vision-based drone swarms remains elusive. To this end, our pap
Externí odkaz:
http://arxiv.org/abs/2403.13455
Autor:
Xu, Ziyi, Cheng, Xue
We investigate a market with a normal-speed informed trader (IT) who may employ mixed strategy and multiple anticipatory high-frequency traders (HFTs) who are under different inventory pressures, in a three-period Kyle's model. The pure- and mixed-st
Externí odkaz:
http://arxiv.org/abs/2403.08202
Most deep noise suppression (DNS) models are trained with reference-based losses requiring access to clean speech. However, sometimes an additive microphone model is insufficient for real-world applications. Accordingly, ways to use real training dat
Externí odkaz:
http://arxiv.org/abs/2309.02432