Exploring critical points of energy landscapes: From low-dimensional examples to phase field crystal PDEs.
P. SubramanianIoannis G. KevrekidisP. G. KevrekidisPublished in: Commun. Nonlinear Sci. Numer. Simul. (2021)
Keyphrases
- critical points
- low dimensional
- scale space
- high dimensional
- vector field
- data points
- partial differential equations
- saddle points
- dimensionality reduction
- manifold learning
- scalar field
- gaussian scale space
- euclidean space
- input space
- energy minimization
- image processing
- energy consumption
- endpoints
- morse theory
- neural network
- image denoising
- level set
- multiscale
- face recognition
- three dimensional
- scale spaces
- social networks