Assessing the Effectiveness of Intrinsic Dimension Estimators for Uncovering the Phase Space Dimensionality of Dynamical Systems from State Observations - A Comparative Analysis.
Félix ChavelliZi-Yu KhooJonathan Sze Choong LowStéphane BressanPublished in: DEXA (1) (2023)
Keyphrases
- dynamical systems
- phase space
- intrinsic dimension
- state space
- linear dynamical systems
- nonlinear dynamical systems
- predictive state representations
- intrinsic dimensionality
- dynamic systems
- differential equations
- past observations
- high dimensional
- nearest neighbor
- linear systems
- high dimensions
- dimensionality reduction
- multi object
- feature space
- search algorithm
- ordinary differential equations
- high dimensional data
- data sets
- control law
- low dimensional