We start with a matrix of user ratings for different movies with some elements unknow i.e the rating of a yet to be seen movie by an user. We need to fill in this gap. So
- How can you decompose or factorize a matrix where all elements are not known in advance.
- after you somehow decompose it, do you just multiply the matrices back to recreate the original one, but now with the missing item populated?
- How do you know which factorization method like non negative,singular value,eigen to choose,without going into too much math?