This thesis project introduces a clustering method using the heat and wave equations along with eigenvalues and eigenvectors. This approach is capable of clustering graphs into two partitions with a ...

Abstract: This paper focuses on representation learning for dynamic graphs with temporal interactions. A fundamental issue is that both the graph structure and the nodes own their own dynamics, and ...

Delay differential equations (DDEs) extend classical ordinary differential equations by incorporating dependencies on past states. This inclusion of time delays is critical for accurately modelling ...

This is the repository of our accepted AAAI 2022 paper "Graph Neural Controlled Differential Equations for Traffic Forecasting". Paper is available on arxiv. @inproceedings{choi2022STGNCDE, ...

Abstract: When performing transient simulation in power systems using the time domain method, the mathematical model involves high‐dimensional nonlinear differential equations and large‐scale ...

Inverse problems are central to modern applied mathematics, posing the challenge of deducing causes from observed effects across numerous disciplines including geophysics, medical imaging and ...

Department of Mathematic, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok, Thailand The purpose of this article is to explore a new method for solving one of the ...

The immune ability of the elderly is not strong, and the functions of the body are in a stage of degeneration, the ability to clear PM2.5 is reduced, and the cardiopulmonary system is easily affected.