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math.DS2026
Dynamics, Complexity and Time Series Analysis
Eugene Tan, David Walker, Michael Small +1
The aim of this text is to provide a linguistically accessible, but comprehensive introduction into a variety of topics in dynamical systems and its applications. Whilst preliminar…
math.DS2025
Do triangles matter? Replicating hypergraph disease dynamics with lower-order interactions
Eugene Tan, Michael Small, Shannon D. Algar
Disease spreading models such as the ubiquitous SIS compartmental model and its numerous variants are widely used to understand and predict the behaviour of a given epidemic or inf…
math.DS2023
Selecting embedding delays: An overview of embedding techniques and a new method using persistent homology
Eugene Tan, Shannon Algar, Débora Corrêa +3
Delay embedding methods are a staple tool in the field of time series analysis and prediction. However, the selection of embedding parameters can have a big impact on the resulting…