A Geometrical Method for Low-Dimensional Representations of Simulations
From MaRDI portal
Publication:5228365
DOI10.1137/17M1154205zbMath1418.65175arXiv1903.07744OpenAlexW2921285545MaRDI QIDQ5228365
Rodrigo Iza-Teran, Jochen Garcke
Publication date: 12 August 2019
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.07744
Applications of statistics in engineering and industry; control charts (62P30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Anisotropic diffusion on sub-manifolds with application to Earth structure classification
- Sobolev metrics on shape space of surfaces
- On information plus noise kernel random matrices
- Semi-supervised learning on Riemannian manifolds
- A variational approach to the consistency of spectral clustering
- Non-linear independent component analysis with diffusion maps
- Riemannian geometries on spaces of plane curves
- Diffusion maps
- Diffusion wavelets
- Spectral independent component analysis
- Overview of the geometries of shape spaces and diffeomorphism groups
- The Discrete Geodesic Problem
- Discrete laplace operator on meshed surfaces
- Spectral convergence of the connection Laplacian from random samples
- ENABLING THE ANALYSIS OF FINITE ELEMENT SIMULATION BUNDLES
- Nonlinear Dimensionality Reduction
- Spectral Methods
- Reduced Basis Methods for Partial Differential Equations