Comment on If AI was going to advance exponentially I'd of expected it to take off by now.
ArbitraryValue@sh.itjust.works 6 days agoAn 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.
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.
logi@lemmy.world 6 days ago
There is a theorem that “all smooth functions are locally linear”. In other words, most “normal” functions are indistinguishable from a straight line on the graph if you zoom in far enough.
So that’s not just no than easy one, it is an impossible one.
logi@lemmy.world 6 days ago
Ah, that’s a fair argument. LLMs growing exponentially is just an assertion being made and we’re supposed to believe that then the steep growth must be just around the corner.
But all over this post you’ve got heavily downvoted comments that sound like you are misunderstanding exponential functions rather than doubting that they’re the right model for this.
We might be on the steep part of an S function right now.
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 6 days ago
I didnt say there are asymtotes at 1 and -4 I said at x=-4, the asymtote can be estimat3d by Y.