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pro vyhledávání: '"ZHENG, Bowen"'
Autor:
Zheng, Bowen, Ozawa, Tohru
In this paper, we study a class of variable coefficient Schr\"{o}dinger equations with a linear potential \[i\partial_tu+\nabla\cdot(|x|^b\nabla u)-V(x)u=-|x|^c|u|^pu,\] where $2-n
Externí odkaz:
http://arxiv.org/abs/2411.11334
Autor:
Zheng, Bowen, Ozawa, Tohru
This paper is dedicated to the blow-up solution for the divergence Schr\"{o}dinger equations with inhomogeneous nonlinearity (dINLS for short) \[i\partial_tu+\nabla\cdot(|x|^b\nabla u)=-|x|^c|u|^pu,\quad\quad u(x,0)=u_0(x),\] where $2-nb-2$
Externí odkaz:
http://arxiv.org/abs/2411.11333
Neural Green's Function Accelerated Iterative Methods for Solving Indefinite Boundary Value Problems
Neural operators, which learn mappings between the function spaces, have been applied to solve boundary value problems in various ways, including learning mappings from the space of the forcing terms to the space of the solutions with the substantial
Externí odkaz:
http://arxiv.org/abs/2410.06919
Optical motion capture (MoCap) is the "gold standard" for accurately capturing full-body motions. To make use of raw MoCap point data, the system labels the points with corresponding body part locations and solves the full-body motions. However, MoCa
Externí odkaz:
http://arxiv.org/abs/2410.02788
Graph neural network (GNN) has been a powerful approach in collaborative filtering (CF) due to its ability to model high-order user-item relationships. Recently, to alleviate the data sparsity and enhance representation learning, many efforts have be
Externí odkaz:
http://arxiv.org/abs/2409.05633
Recently, generative recommendation has emerged as a promising new paradigm that directly generates item identifiers for recommendation. However, a key challenge lies in how to effectively construct item identifiers that are suitable for recommender
Externí odkaz:
http://arxiv.org/abs/2409.05546
Prostate cancer is the second most common cancer in males worldwide, and mpMRI is commonly used for diagnosis. However, interpreting mpMRI is challenging and requires expertise from radiologists. This highlights the urgent need for automated grading
Externí odkaz:
http://arxiv.org/abs/2408.09746
In this work, we propose and analyze two two-level hybrid Schwarz preconditioners for solving the Helmholtz equation with high wave number in two and three dimensions. Both preconditioners are defined over a set of overlapping subdomains, with each p
Externí odkaz:
http://arxiv.org/abs/2408.07669
Infrared and visible image fusion has been developed from vision perception oriented fusion methods to strategies which both consider the vision perception and high-level vision task. However, the existing task-driven methods fail to address the doma
Externí odkaz:
http://arxiv.org/abs/2407.10047
Autor:
Tang, Tianyi, Hu, Yiwen, Li, Bingqian, Luo, Wenyang, Qin, Zijing, Sun, Haoxiang, Wang, Jiapeng, Xu, Shiyi, Cheng, Xiaoxue, Guo, Geyang, Peng, Han, Zheng, Bowen, Tang, Yiru, Min, Yingqian, Chen, Yushuo, Chen, Jie, Zhao, Yuanqian, Ding, Luran, Wang, Yuhao, Dong, Zican, Xia, Chunxuan, Li, Junyi, Zhou, Kun, Zhao, Wayne Xin, Wen, Ji-Rong
To facilitate the research on large language models (LLMs), this paper presents a comprehensive and unified library, LLMBox, to ease the development, use, and evaluation of LLMs. This library is featured with three main merits: (1) a unified data int
Externí odkaz:
http://arxiv.org/abs/2407.05563