Tensor-on-Tensor Regression: Riemannian Optimization, Over-parameterization, Statistical-computational Gap, and Their Interplay.
Yuetian LuoAnru R. ZhangPublished in: CoRR (2022)
Keyphrases
- high order
- riemannian framework
- tensor field
- higher order
- diffusion tensor
- dimensionality reduction
- dt mri
- log euclidean
- tensor space
- tensor decomposition
- riemannian manifolds
- regression model
- optimization problems
- diffusion tensor images
- support vector
- symmetric positive definite
- support vector regression
- mathematical programming
- information theoretic
- structure tensor
- optimization algorithm
- differential geometry
- riemannian metric
- tensor factorization
- statistical analysis
- principal component analysis
- face recognition