Topologically penalized regression on manifolds.
Olympio HacquardKrishnakumar BalasubramanianGilles BlanchardClément LevrardWolfgang PolonikPublished in: J. Mach. Learn. Res. (2022)
Keyphrases
- locally linear
- model selection
- least squares
- linear regression
- regression model
- regression problems
- manifold learning
- loss function
- maximum likelihood
- variable selection
- euclidean space
- locally weighted
- cross validation
- simple linear
- regression analysis
- support vector
- cell complexes
- topology preserving
- reproducing kernel hilbert space
- high dimensional
- gaussian processes
- low dimensional
- support vector regression
- nearest neighbor
- polynomial regression
- d objects
- regression function
- endoscopic video
- arbitrary dimension
- cortical surface
- geometric structure
- semi supervised
- artificial neural networks
- object recognition