Zobrazeno 1 - 10
of 25 237
pro vyhledávání: '"WANG MING-AN"'
This paper studies the observability inequalities for the Schr\"{o}dinger equation associated with an anharmonic oscillator $H=-\frac{\d^2}{\d x^2}+|x|$. We build up the observability inequality over an arbitrarily short time interval $(0,T)$, with a
Externí odkaz:
http://arxiv.org/abs/2501.01258
Large Language Models (LLMs) have demonstrated remarkable capabilities on various tasks, while the further evolvement is limited to the lack of high-quality training data. In addition, traditional training approaches rely too much on expert-labeled d
Externí odkaz:
http://arxiv.org/abs/2412.15151
In the realm of large-scale point cloud registration, designing a compact symbolic representation is crucial for efficiently processing vast amounts of data, ensuring registration robustness against significant viewpoint variations and occlusions. Th
Externí odkaz:
http://arxiv.org/abs/2412.02998
Autor:
Lin, Cheng-Wei, Hsieh, Wan-Hsuan, Guan, Kai-Xin, Hsu, Chan-Jan, Kuo, Chia-Chen, Lai, Chuan-Lin, Chung, Chung-Wei, Wang, Ming-Jen, Shiu, Da-Shan
The quality and size of a pretraining dataset significantly influence the performance of large language models (LLMs). While there have been numerous efforts in the curation of such a dataset for English users, there is a relative lack of similar ini
Externí odkaz:
http://arxiv.org/abs/2411.16387
This paper studies observability inequalities for heat equations on both bounded domains and the whole space $\mathbb{R}^d$. The observation sets are measured by log-type Hausdorff contents, which are induced by certain log-type gauge functions close
Externí odkaz:
http://arxiv.org/abs/2411.11573
Autor:
Wang, Ming, Liu, Yuanzhong, Liang, Xiaoyu, Huang, Yijie, Wang, Daling, Yang, Xiaocui, Shen, Sijia, Feng, Shi, Zhang, Xiaoming, Guan, Chaofeng, Zhang, Yifei
LLMs have demonstrated commendable performance across diverse domains. Nevertheless, formulating high-quality prompts to assist them in their work poses a challenge for non-AI experts. Existing research in prompt engineering suggests somewhat scatter
Externí odkaz:
http://arxiv.org/abs/2409.13449
Autor:
Dong, Hongjie, Wang, Ming
It is well known that every solution of an elliptic equation is analytic if its coefficients are analytic. However, less is known about the ultra-analyticity of such solutions. This work addresses the problem of elliptic equations with lower-order te
Externí odkaz:
http://arxiv.org/abs/2409.07027
The intricate microstructure serves as the cornerstone for the composition/processing-structure-property (CPSP) connection in multiphase alloys. Traditional alloy design methods often overlook microstructural details, which diminishes the reliability
Externí odkaz:
http://arxiv.org/abs/2409.02648
Multi-hop Question Answering (QA) necessitates complex reasoning by integrating multiple pieces of information to resolve intricate questions. However, existing QA systems encounter challenges such as outdated information, context window length limit
Externí odkaz:
http://arxiv.org/abs/2408.11875
Autor:
Wang, Ming, Mueller, Frank
This work (1) proposes a novel numerical algorithm to accelerate the search process for good Bivariate Bicycle (BB) codes and (2) defines a new subclass of BB codes suitable for quantum error correction. The proposed acceleration search algorithm red
Externí odkaz:
http://arxiv.org/abs/2408.10001