distances in general? list of distances?

[ajschumacher]

relate to similarities?

https://en.wikipedia.org/wiki/Metric_(mathematics)#Definition

• non-negative
• identity of indiscernibles
• symmetry
• triangle inequality

Frechet distance:

• https://en.wikipedia.org/wiki/Fr%C3%A9chet_distance
• used in Fréchet Inception Distance https://github.com/mseitzer/pytorch-fid etc.
• The Frechet Distance between Multivariate Normal Distributions (has this nice simple formula) https://core.ac.uk/download/pdf/82269844.pdf

[ajschumacher]

great list of metrics! https://github.com/lmcinnes/pynndescent

[ajschumacher]

Gram matrix is the matrix of dot products (as in cosine distance, etc.)