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197 results on '"Wu, Yu-Han"'

1. More on lines in Euclidean Ramsey theory

Author

Conlon, David and Wu, Yu-Han

Subjects
Mathematics, QA1-939
Abstract

Let $\ell _m$ be a sequence of $m$ points on a line with consecutive points at distance one. Answering a question raised by Fox and the first author and independently by Arman and Tsaturian, we show that there is a natural number $m$ and a red/blue-colouring of $\mathbb{E}^n$ for every $n$ that contains no red copy of $\ell _3$ and no blue copy of $\ell _m$.

Published
2023
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3. Implicit regularization of deep residual networks towards neural ODEs

Author

Marion, Pierre, Wu, Yu-Han, Sander, Michael E., and Biau, Gérard

Subjects
Statistics - Machine Learning, Computer Science - Machine Learning
Abstract

Residual neural networks are state-of-the-art deep learning models. Their continuous-depth analog, neural ordinary differential equations (ODEs), are also widely used. Despite their success, the link between the discrete and continuous models still lacks a solid mathematical foundation. In this article, we take a step in this direction by establishing an implicit regularization of deep residual networks towards neural ODEs, for nonlinear networks trained with gradient flow. We prove that if the network is initialized as a discretization of a neural ODE, then such a discretization holds throughout training. Our results are valid for a finite training time, and also as the training time tends to infinity provided that the network satisfies a Polyak-Lojasiewicz condition. Importantly, this condition holds for a family of residual networks where the residuals are two-layer perceptrons with an overparameterization in width that is only linear, and implies the convergence of gradient flow to a global minimum. Numerical experiments illustrate our results., Comment: ICLR 2024 (spotlight). 40 pages, 3 figures

Published
2023

5. More on lines in Euclidean Ramsey theory

Author

Conlon, David and Wu, Yu-Han

Subjects
Mathematics - Combinatorics
Abstract

Let $\ell_m$ be a sequence of $m$ points on a line with consecutive points at distance one. Answering a question raised by Fox and the first author and independently by Arman and Tsaturian, we show that there is a natural number $m$ and a red/blue-colouring of $\mathbb{E}^n$ for every $n$ that contains no red copy of $\ell_3$ and no blue copy of $\ell_m$., Comment: 4 pages

Published
2022

12. The Effects of Virtual Reality Infused Instruction on Elementary School Students' English-Speaking Performance, Willingness to Communicate, and Learning Autonomy

Author

Sally Wu, Yu-Han and Alan Hung, Shao-Ting

Abstract

Virtual Reality (VR) has been used to enhance EFL learners' speaking skills due to its immersive and interactive features. This study thus investigated the effects of VR on elementary school students' English-speaking performance and such affective variables as their willingness to communicate (WTC) and learning autonomy. Fifty-six EFL sixth graders participated in a tour in a museum. When learning and practicing dialogues and vocabulary related to the museum, students in the experimental group (n = 28) were guided with "Cospaces," a VR software package, with VR headsets, while their counterparts (n = 28) were guided with pictures only. Instruments included a validated speaking test on (1) pronunciation, fluency, and intonation and (2) grammar and lexical use, adopted questionnaires on WTC and learning autonomy, and semi-structured interviews. Results demonstrated that VR significantly increased students' grammar and lexical use in their speaking performance, but not their pronunciation, fluency and intonation, WTC, or learning autonomy.

Published
2022
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15. The topological phase of bright solitons

Author

Wu, Yu-Han, Zhao, Li-Chen, Liu, Chong, Yang, Zhan-Ying, and Yang, Wen-Li

Subjects
Nonlinear Sciences - Pattern Formation and Solitons
Abstract

We study the topological phase of bright soliton with arbitrary velocity under the self-steepening effect. Such topological phase can be described by the topological vector potential and effective magnetic field. We find that the point-like magnetic fields corresponds to the density peak of such bright solitons, where each elementary magnetic flux is {\pi}. Remarkably, we show that two bright solitons can generate an additional topological field due to the phase jump between them. Our research provided the possibility to use bright solitons to explore topological properties.

Published
2021
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45. Blood-brain barrier dysfunction mediated by the EZH2-Claudin-5 axis drives stress-induced TNF-α infiltration and depression-like behaviors

Author

Sun, Zhao-Wei, primary, Wang, Xue, additional, Zhao, Yun, additional, Sun, Zhao-Xin, additional, Wu, Yu-Han, additional, Hu, Hui, additional, Zhang, Ling, additional, Wang, Shi-Da, additional, Li, Feng, additional, Wei, Ai-Jun, additional, Feng, Hong, additional, Xie, Fang, additional, and Qian, Ling-Jia, additional

Published
2023
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