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I'm not aware of the formal legality of it, but I don't see why it wouldn't be the case. Without the training data, the model can't work. That seems to fit the definition of "derivative work".

IANAL, but I looked at the definition of derivative work, and it seems really hard to apply to learning algorithms. But I'm going to disagree with you. I notice that US law mentions "preexisting material employed in the work". IMO a set of neural network weights contains no preexisting material at all. All the examples of derivative works include at parts of previously copyrighted works directly.

I'd like to note that some publishers, like Elsevier, allow you access to their dataset (full texts of articles) under a license with the condition that you can not freely distribute models learnt from their data.

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