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4:10
If a function is differentiable then it is continuous
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This video, created by my dear coauthor @MahdiKahou for our teaching and papers, shows how overparameterized neural networks produce smooth function approximations even in the context of the Runge phenomenon.Some background. Imagine you want to approximate the Runge functionhttps://t.co/oKwNLE4PBHusing polynomial interpolation at equally spaced points. It is well known that, despite targeting an infinitely differentiable function, such a polynomial approximation produces oscillatory behavior tha
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