Generalization-Memorization Machines

#artificialintelligence 

Firstly, we test the memorization ability and its influence of our HGMM on several small size datasets. The memory influence functions (i.e., formations (12), (13), (14) and (15)) were preloaded in our HGMM and evaluated by the m-fold cross validation (i.e., level-one-out validation, LOO for short). We set the baseline by setting the memory influence function be an identity matrix which is actually L2 loss SVM with decision (7) according to Theorem 4.3 (ii). Table II reports their highest LOO training and testing accuracies. From Table II, it is observed that our HGMM with either memory influence function has 100% training accuracies on all of these datasets.