Great question! Yes, theoretically you can use a learned parametric curve (such as a DL model) to extrapolate outside of the training zone. But will this be meaningful, i.e. will it lead to generalization? Well, there are two possible settings.https://twitter.com/Gavin_Cawley/status/1450726111957209093 …
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But in most practical settings, the answer is no, you can't extrapolate. If you want models that can extrapolate in the real world, you should move away from differentiable curves and use… discrete search over graphs of logical operators (programs). This is for another thread...
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Also, if these topics sound interesting to you, remember -- there's this book you can grab.https://www.manning.com/books/deep-learning-with-python-second-edition?a_aid=keras&a_bid=76564dff …
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