Statistics on Manifolds
I think this is a new and hot topic right now since it, at least, helps us on density estimation more efficiently. An expert recommend a book “Statistics on Special Manifolds” by Yasuko Chikuse to me. The book can be found by the link here. The book is so expensive ^_^. However, we can somehow manage to find some papers by the same auther to read. These are the papers listed:
- Density estimation on the spaces of symmetric and rectangular matrices (1997)
- Density estimation on the Stiefel manifold (1998)
- Density estimation on Grassmann Manifolds (2002)
There are quite a number of the application paper related to machine learning, but I haven’t had enough time to review them and say which one is a good paper to read yet.