4 ms·
Most humans aren't capable of playing chess to grandmaster level either, or producing artwork in arbitrary styles, or remembering and distinguishing between mil
by omnicognate 4y ago
Most humans aren't capable of playing chess to grandmaster level either, or producing artwork in arbitrary styles, or remembering and distinguishing between millions of faces.
I'd settle for a demonstration that a computer has truly independently discovered/invented and proved some significant part of our existing mathematical edifice. This hasn't been achieved yet, either. However, I suspect that once we've figured out how to do this at all, surpassing human capabilities will be inevitable in a relatively short time. So I don't see much value in softening the test unless/until there's some actual candidate available that would pass the softer test.
The value in requiring genuinely new maths is that it makes it unlikely that knowledge of the result has been encoded in the algorithm or training set. Certainly, if GPT-3 were to output Euler's formula that wouldn't be at all convincing as a "discovery".
- ummonk 4y agoNot an example of complex mathematical reasoning, but aren't AlphaZero and its cousins evidence that ML can independently rediscover principles that humans have found, as well as discover new principles of its own? For example, LC0 plays for advantages that humans hadn't considered before in Chess.
- gpderetta 4y agoVery good point. Apparently human players stared studying AIs playing go and Chess to learn new techniques.
- omnicognate 4y agoI'm not an expert in those algorithms, so... maybe? If so, maybe someone will successfully apply those ideas to the challenge I've described. I'd love to see it happen.