3 papers
stat.CO2026
Wasserstein Geometry of Information Loss in Nonlinear Dynamical Systems
Yiting Duan, Zhikun Zhang, Yi Guo
Time-delay embedding is a powerful technique for reconstructing the dynamics of nonlinear systems. However, the reconstruction map is not always an embedding, a condition rarely ve…
math.DS2025
Causal Discovery in Symmetric Dynamic Systems with Convergent Cross Mapping
Yiting Duan, Yi Guo, Jack Yang +1
This paper systematically discusses how the inherent properties of chaotic attractors influence the results of discovering causality from time series using convergent cross mapping…
stat.ML2024
Machine Learning for Complex Systems with Abnormal Pattern by Exception Maximization Outlier Detection Method
Zhikun Zhang, Yiting Duan, Xiangjun Wang +1
This paper proposes a novel fast online methodology for outlier detection called the exception maximization outlier detection method(EMODM), which employs probabilistic models and…