GitHub

Graph-Spectral-Clustering-and-Partial-Differential-Equations

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 ...
IEEE

Graph Structure Neural Differential Equations on Spatio-temporal Prediction

Abstract: Deep learning is one of the most widely used modeling approach for spatio-temporal prediction. Traditional deep learning models get discrete features or hidden states from discrete data.
IEEE

Dynamic Personalized Graph Neural Ordinary Differential Equation Network for Multivariate Time Series Prediction of Chemical Processes

Abstract: The prediction of multivariate time series (MTS) has increasingly captured substantial interest in practical domains such as chemical process flow and data analysis, which representing a ...
GitHub

Graph Neural Controlled Differential Equations for Traffic Forecasting

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, ...
Nature

Optimal Control Theory for Differential Equations

Optimal control theory for differential equations is a pivotal discipline that combines rigorous mathematical analysis with practical applications in engineering, economics, and the natural sciences.
Frontiers

For the aged: A novel PM2.5 concentration forecasting method based on spatial-temporal graph ordinary differential equation networks in home-based care parks

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.
Scientific Research Publishing

Some Examples to Show that Objects be Presented by Mathematical Equations ()

We have often heard remarks such as “We can plot graphs from the mathematical equations”, including equations of lines, equations of curves, and equations of invisible and visible objects. Actually, ...
Scientific Research Publishing

Differential Calculus the Study of the Growth and Decay of an Entity’s Population ()

1 Department of Business Administration, Julius Nyéréré University, Kankan, Guinea. 2 Department of Mathematics, Julius Nyéré University, Kankan, Guinea. Its law of evolution. A system can be in ...