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> If I read a few books about a subject as research, and then I write an article about the subject, it's my own copyright.

Yes, because in that case you'd be the "author" doing "creative work".

> Perhaps a model created from copyrighted material be treated in the same way?

Who would be the author doing creative work in this case? The people who decided what training material to use? Perhaps, but it seems a stretch for the people who selected the training material to be authors but not the people who created the training material.

The difference is you are person and have many more rights than a machine.

That's because you are human and have rights that a computer program doesn't

A fertile subject for sf stories.