A RANSAC-Based ISOMAP for Filiform Manifolds in Nonlinear Dynamical Systems -An Application to Chaos in a Dripping Faucet-.
Hiromichi SuetaniShotaro AkahoPublished in: ICANN (2) (2011)
Keyphrases
- nonlinear dynamical systems
- manifold learning
- nonlinear dimensionality reduction
- laplacian eigenmaps
- chaotic systems
- low dimensional
- dynamical systems
- manifold learning algorithm
- locally linear embedding
- feature mapping
- dimensionality reduction
- dimension reduction
- low dimensional manifolds
- phase space
- dynamical behavior
- high dimensional
- high dimensional data
- feature points
- manifold structure
- neighborhood graph
- riemannian manifolds
- distances between data points
- data visualization
- kernel pca
- feature extraction
- particle swarm optimization
- semi supervised
- multidimensional scaling
- multiscale
- initial conditions
- feature space
- principal component analysis
- control method
- adaptive control
- machine learning
- particle filtering
- differential equations
- data points
- video sequences
- learning algorithm