Properties of incremental projection learning

We proposed a method of incremental projection learning which provides exactly the same generalization capability as that obtained by batch projection learning in the previous paper. However, properties of the method have not yet been investigated. In this paper, we analyze its properties from the following aspects: First, it is shown that some of the training data which is regarded as redundant in most incremental learning methods have potential effectiveness, i.e. they will contribute to better generalization capability in the future learning process. Based on this fact, an improved criterion for redundancy of additional training data is derived. Second, the relationship between prior and posterior learning results is investigated where effective training data is classified into two categories from the viewpoint of improving generalization capability. Finally, a simpler representation of incremental projection learning under certain conditions is given. The size of memory required for storing prior results in the representation is fixed and independent of the total number of training data.