Seonglae ChoGramian, Kernel Matrix
If a kernel is valid (commutative and positive definite kernel), then the kernel matrix generated from the data points is also positive definite.
Therefore, depending on the data points used in the Gram matrix, the Gram matrix can be positive-definite, so this doesn't tell us whether the original kernel is valid
Properties
- Positive Definite matrix
Kernel Matrix Notion