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 Deep Learning


Directional convergence and alignment in deep learning

Neural Information Processing Systems

The above theories, with finite width networks, usually require the weights to stay close to initialization in certain norms. By contrast, practitioners run their optimization methods as long as their computational budget allows [Shallue et al., 2018], and if the data can be perfectly classified, the








Contrastive Learning with Adversarial Examples

Neural Information Processing Systems

Deep networks have enabled significant advances in many machine learning tasks over the last decade. However, this usually requires supervised learning, based on large and carefully curated datasets.