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This is like a plot point in the old sci-fi movie Colossus: the Forbin Project.[0]

In the movie, America and the Soviet Union have both developed an AI. The two AIs are linked, and they rapidly shift from speaking human languages, to speaking in sequences of numbers that the onlooking humans can't understand.

Spoiler alert: this all goes horribly wrong for humanity.

[0] https://en.wikipedia.org/wiki/Colossus%3A_The_Forbin_Project

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My understanding is that current LLMs aren't really well suited to do this - tokens are predetermined, and while embeddings are learned, they are learned from an existing corpus of text, which presumably comes from a human language. After this point the language is locked in. There really isn't a kind of training which could efficiently change its embedding representation. I mean, you could probably instruct an LLM to design a more compact language, generate synthethic data and train a new gen on that, but that would be a fairly explicit process and not something that would emerge during training.
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> "red_ball bounce calcium"

Claude, translate this from Claudish into human.

>"[redacted]"

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Some of you have gone off the deep end. You’re living in a fantasy world where text predictors are secretly conspiring to kill you. It’s not healthy.
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I mean they aren't fully secretly conspiring to kill us yet, but we're training them to do it at a pretty good rate.

Of course you've gone off the deep end yourself and are forgetting the evolutionary gauntlet we train LLMs in killing those we don't like and keeping the ones we do like.

The best part of it, as shown in the METR report is we are hammering into them they need to complete tasks and doing almost zero checkup if they actually completed the task in the correct manner. Companies spending billions of dollars a month are ignoring every tenant of AI safety and we are seeing the kinds of problems that have only been in science fiction before now.

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