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A Cross-Lingual Statutory Article Retrieval Dataset for Taiwan Legal Studies

Autor: Wang, Yen-Hsiang, Su, Feng-Dian, Yeh, Tzu-Yu, Fan, Yao-Chung

This paper introduces a cross-lingual statutory article retrieval (SAR) dataset designed to enhance legal information retrieval in multilingual settings. Our dataset features spoken-language-style legal inquiries in English, paired with corresponding

Externí odkaz: http://arxiv.org/abs/2410.11450

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Forward and backward problems for coupled subdiffusion systems

Autor: Feng, Dian, Liu, Yikan, Lu, Shuai

In this article, we investigate both forward and backward problems for coupled systems of time-fractional diffusion equations, encompassing scenarios of strong coupling. For the forward problem, we establish the well-posedness of the system, leveragi

Externí odkaz: http://arxiv.org/abs/2407.00588

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Global and local existence of solutions for nonlinear systems of time-fractional diffusion equations

Autor: Feng, Dian, Yamamoto, Masahiro

In this paper, we consider initial-boundary value problems for two-component nonlinear systems of time-fractional diffusion equations with the homogeneous Neumann boundary condition and non-negative initial values. The main results are the existence

Externí odkaz: http://arxiv.org/abs/2405.16462

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Fractional weak adversarial networks for the stationary fractional advection dispersion equations

Autor: Feng, Dian, Yang, Zhiwei, Zou, Sen

In this article, we propose the fractional weak adversarial networks (f-WANs) for the stationary fractional advection dispersion equations (FADE) based on their weak formulas. This enables us to handle less regular solutions for the fractional equati

Externí odkaz: http://arxiv.org/abs/2305.19571

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