A Priori Error Estimates for Finite Element Approximations to Eigenvalues and Eigenfunctions of the Laplace-Beltrami Operator.
Andrea BonitoAlan DemlowJustin OwenPublished in: SIAM J. Numer. Anal. (2018)
Keyphrases
- laplace beltrami
- finite element
- error estimates
- shape analysis
- error estimation
- cross validation
- point cloud
- basis functions
- graph laplacian
- d mesh
- spectral analysis
- heat kernel
- riemannian manifolds
- wiener filter
- differential operators
- euclidean space
- complex shapes
- laplacian eigenmaps
- soft tissue
- covariance matrix
- generalization error
- machine learning
- manifold learning
- model selection
- low dimensional
- image data
- training set