AppendixforTask-FreeContinualLearningVia OnlineDiscrepancyDistanceLearning

Theorem1.Let Pi represent the distribution of all seen training samples (including all previous Agoodtrade-offbetween themodel'scomplexityandgeneralization performance, observedfrom Eq. (12), is allowing each component to learn the underlying data distribution of a unique target set. By satisfying the ideal selection process (Eq.(22) of the paper) and also consideringthateachcomponent Gtfinishedthetrainingon Mkt atTkt,weassumethatthedynamic 4 expansion modelG can be seen as a single modelh trained on all previously learnt memories Maximal Interfered Retrieval (MIR), [1] is one of 5 themostpopular memory-based approaches, whichusesamemory bufferwithasample selection criterion. Since Pi would involve several underlying data distributions as the number of training steps (i) increases, the diversity in the memory plays an important role to ensure a tight GB in Eq.(15). G be single model which consists of a classifierh HandaVAEmodelv. M be a memory buffer updated at the training stepTi. Figure 1: The learning process of the proposed ODDL-S, which consists of three phases.