An exponential function is a specific mathematical concept, like a circle or an even number. I’m not sure what you mean by “asymptote” here - an exponential function of the form y = x^k asymptotically approaches zero as x goes to negative infinity, but that doesn’t sound like what you’re referring to.
Comment on If AI was going to advance exponentially I'd of expected it to take off by now.
Clinicallydepressedpoochie@lemmy.world 6 days agoSure. Everything is exponential id you model it that way
ArbitraryValue@sh.itjust.works 6 days ago
Clinicallydepressedpoochie@lemmy.world 6 days ago
Its horizontal asymtote. From x=1 to around x=-4, as demonstrated in the graph, the asymtote is easily estimate.
Shardikprime@lemmy.world 6 days ago
Man just say you don’t understand functions and that’s it, you don’t have to push it
Clinicallydepressedpoochie@lemmy.world 6 days ago
Tell me how im wrong.
calcopiritus@lemmy.world 6 days ago
The exponential function has a single horizontal asymptote at y=0. Asymptotes at x=1 and x=-4 would be vertical. Exponential functions have no vertical asymptotes.
Clinicallydepressedpoochie@lemmy.world 5 days ago
I didnt say there are asymtotes at 1 and -4 I said at x=-4, the asymtote can be estimat3d by Y.
agamemnonymous@sh.itjust.works 6 days ago
No, exponential functions are that way. A feature of exponential functions is that it increases very slowly until the slope hits 1. We’re still on the slow part, we didn’t really have any way of knowing exactly the extreme increase will be.
NaNin@lemmy.dbzer0.com 6 days ago
Do you think that our current iteration of A.I. can have these kinds if gains? Like, what if the extreme increase happens beyond our lifetimes? or beyond the lifetime of our planet?
leftzero@lemmynsfw.com 6 days ago
No, LLMs have always been an evident dead end when it comes to general AI.
They’re hampering research in actual AI, and the fact that they’re being marketed as AI ensures that no one will invest in actual AI research in decades after the bubble bursts.
We were on track for a technological singularity in our lifetimes, until those greedy bastards derailed us and murdered the future by poisoning the Internet with their slop for some short term profits.
Now we’ll go extinct due to ignorance and global warming long before we have time to invent something smart enough to save us.
But, hey, at least, for a little while, their line did go up, and that’s all that matters, it seems.
agamemnonymous@sh.itjust.works 6 days ago
I think we can’t know, but LLMs definitely feel like a notable acceleration. Exponential functions are also, well, exponential. As X grows, X × X grows faster. The exponential part is gonna come from meta-models, coordinating multiple specialized models to complete complex tasks. Once we get a powerful meta-model, we’re off to the races. AI models developing AI models.
It could take 50 years, it could take 5, it could happen this Wednesday. We won’t know which development is going to be the one to tip us over the edge until it happens, and even then only in retrospect. But it could very well be soon.