7 papers
Structural Controllability of Large-Scale Hypergraphs
Joshua Pickard, Xin Mao, Can Chen
Controlling real-world networked systems, including ecological, biomedical, and engineered networks that exhibit higher-order interactions, remains challenging due to inherent nonl…
Maximum-Entropy Random Walks on Hypergraphs
Anqi Dong, Anzhi Sheng, Xin Mao +1
Random walks are fundamental tools for analyzing complex networked systems, including social networks, biological systems, and communication infrastructures. While classical random…
Model Reduction of Homogeneous Polynomial Dynamical Systems via Tensor Decomposition
Xin Mao, Can Chen
Model reduction plays a critical role in system control, with established methods such as balanced truncation widely used for linear systems. However, extending these methods to no…
Data-driven model order reduction for T-Product-Based dynamical systems
Shenghan Mei, Ziqin He, Yidan Mei +4
Model order reduction plays a crucial role in simplifying complex systems while preserving their essential dynamic characteristics, making it an invaluable tool in a wide range of…
Tensor-based homogeneous polynomial dynamical system analysis from data
Xin Mao, Anqi Dong, Ziqin He +3
Numerous complex real-world systems, such as those in biological, ecological, and social networks, exhibit higher-order interactions that are often modeled using polynomial dynamic…
Data-driven Analysis of T-Product-based Dynamical Systems
Xin Mao, Anqi Dong, Ziqin He +2
A wide variety of data can be represented using third-order tensors, spanning applications in chemometrics, psychometrics, and image processing. However, traditional data-driven fr…
Controllability and Observability of Temporal Hypergraphs
Anqi Dong, Xin Mao, Can Chen
Numerous complex systems, such as those arisen in ecological networks, genomic contact networks, and social networks, exhibit higher-order and time-varying characteristics, which c…