The Factorization Machine term can be computed in O(kn) time where k is a hyper-parameter of the model and n is the number of features in the model. The feature

The Factorization Machine term can be computed in O(kn) time where k is a hyper-parameter of the model and n is the number of features in the model. The features are embedded in a k dimensional space so there is nothing infinite dimensional going on with FM.