On the Metric Distortion of Embedding Persistence Diagrams into Reproducing Kernel Hilbert Spaces.
Mathieu CarrièreUlrich BauerPublished in: CoRR (2018)
Keyphrases
- reproducing kernel hilbert space
- distance measure
- reproducing kernel
- metric learning
- euclidean space
- gaussian kernels
- loss function
- uniform convergence
- kernel methods
- geodesic distance
- riemannian manifolds
- learning theory
- covering numbers
- vector space
- metric space
- kernel function
- special case
- kernel matrix
- gaussian process
- representer theorem
- domain adaptation
- density estimation
- data dependent
- real valued
- distance function
- input space
- hilbert space
- distance metric
- linear model
- machine learning
- learning problems
- euclidean distance
- feature space
- support vector