What about the data we generate as content and art?
Its certainly not legal to copy someone elses work and then present it as your own.
Can GDPR or any other EU-centered policies protect this kind of content?

As it turns out, like most things in the machine learning world, it depends on the data.
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The only way to teach an AI to imitate humans is to expose it to human-generated data.
And the more data you shove in an AI system, the more robust its output tends to be.
As to whether such use would be ethical remains an open question.
However, that doesnt mean GDPR and other EU regulations are entirely feckless in this regard.
Why not ban scraping?
However, where this information is personal data, its important to understand that data protection law applies.
This is the case whether the techniques used to collect the data involve scraping or anything else.
In other words, its more about the kind of data being used than how its gathered.
Anything we put online is likely to end up in some AIs training dataset.