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One of the greatest goals of AI is building an artificial continuous learning agent which can construct a sophisticated understanding about the external world from its own experience through the adaptive, goal-oriented and incremental development of ever more complex skills and knowledge. Yet, Continuous/Lifelong Learning (CL) from high-dimensional streaming data is a challenging research problem far from being solved. In fact, fully retraining deep prediction models each time a new piece of data becomes available is infeasible, due to computational and storage issues, while naïve continuous learning strategies have been shown to suffer from catastrophic forgetting. This talk will cover some of the most common end-to-end continuous learning strategies for gradient-based architectures and the recently proposed AR-1 strategy, which can outperform other state-of-the-art regularization and architectural approaches on the CORe50 benchmark.