Dimensionality reduction of collective motion by principal manifolds

Mathematics

• Collective Motion 100%
• Dimensionality Reduction 80%
• Reduction Method 34%
• High-dimensional Data 23%
• High-dimensional 16%
• Principal Curves 15%
• Battery 14%
• Geodesic Distance 13%
• Smoothing Splines 13%
• Spectral Decomposition 12%
• Cubic Spline 11%
• Predator 10%
• Smoothness 8%
• Minimise 8%
• Configuration 8%
• Dynamical system 7%
• Necessary 6%
• Alternatives 6%

Physics & Astronomy

• embedding 52%
• predators 13%
• maneuvers 13%
• splines 12%
• smoothing 11%
• electric batteries 10%
• dynamical systems 10%
• decomposition 7%
• curves 5%
• configurations 5%

Engineering & Materials Science

• Dimensionality reduction 67%
• Splines 20%
• Dynamical systems 16%
• Decomposition 14%