103 citations · 115 across the 10 of their papers we have counts for
11 papers
Incorporating Continuous Dependence Qualifies Physics-Informed Neural Networks for Operator Learning
Guojie Li, Wuyue Yang, Liu Hong
Physics-informed neural networks (PINNs) have been proven as a promising way for solving various partial differential equations, especially high-dimensional ones and those with irr…
Extracting Interaction Kernels for Many-Particle Systems by a Two-Phase Approach
Yangxuan Shi, Wuyue Yang, Liu Hong
This paper presents a two-phase method for learning interaction kernels of stochastic many-particle systems. After transforming stochastic trajectories of every particle into the p…
MEP-Net: Generating Solutions to Scientific Problems with Limited Knowledge by Maximum Entropy Principle
Wuyue Yang, Liangrong Peng, Guojie Li +1
Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networ…
Thermodynamics for Reduced Models of Breakable Amyloid Filaments Based on Maximum Entropy Principle
Xinyu Zhang, Haiyang Jia, Wuyue Yang +2
Amyloid filaments are associated with neurodegenerative diseases such as Alzheimer's and Parkinson's. Simplified models of amyloid aggregation are crucial because the original mass…
Entropy Structure Informed Learning for Inverse XDE Problems
Yan Jiang, Wuyue Yang, Yi Zhu +1
Entropy, since its first discovery by Ludwig Boltzmann in 1877, has been widely applied in diverse disciplines, including thermodynamics, continuum mechanics, mathematical analysis…
A data-driven analysis on the mediation effect of compartment models between control measures and COVID-19 epidemics
Dongyan Zhang, Wuyue Yang, Wanqi Wen +3
We make a retrospective review on various control measures taken by 127 countries/territories during the first wave of COVID-19 pandemic until July 7, 2020, and evaluate their impa…
Identification of hydrodynamic instability by convolutional neural networks
Wuyue Yang, Liangrong Peng, Yi Zhu +1
The onset of hydrodynamic instabilities is of great importance in both industry and daily life, due to the dramatic mechanical and thermodynamic changes for different types of flow…
When Machine Learning Meets Multiscale Modeling in Chemical Reactions
Wuyue Yang, Liangrong Peng, Yi Zhu +1
Due to the intrinsic complexity and nonlinearity of chemical reactions, direct applications of traditional machine learning algorithms may face with many difficulties. In this stud…
Revealing hidden dynamics from time-series data by ODENet
Pipi Hu, Wuyue Yang, Yi Zhu +1
To derive the hidden dynamics from observed data is one of the fundamental but also challenging problems in many different fields. In this study, we propose a new type of interpret…
Rational evaluation of various epidemic models based on the COVID-19 data of China
Wuyue Yang, Dongyan Zhang, Liangrong Peng +2
In this paper, based on the Akaike information criterion, root mean square error and robustness coefficient, a rational evaluation of various epidemic models/methods, including sev…
Epidemic analysis of COVID-19 in China by dynamical modeling
Liangrong Peng, Wuyue Yang, Dongyan Zhang +2
The outbreak of novel coronavirus-caused pneumonia (COVID-19) in Wuhan has attracted worldwide attention. Here, we propose a generalized SEIR model to analyze this epidemic. Based…