Comment on If AI was going to advance exponentially I'd of expected it to take off by now.

• mxeff@feddit.org ⁨6⁩ ⁨days⁩ ago

  Exponential growth is always exponential, not just if if suddenly starts to drastically increase in the arbitrarily choosen view scale.

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  A simple way, to check wether data is exponential, is to visualize it in loc-scale, and if it shows there a linear behavior, it has a exponential relation.

  Exponential growth means, that the values change by a constant ratio, contrary to linear growth where the data changes by a constant rate.

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  • qaz@lemmy.world ⁨5⁩ ⁨days⁩ ago

    There’s no point in arguing with OP, he’s doubling down at an exponential rate.

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  • Clinicallydepressedpoochie@lemmy.world ⁨6⁩ ⁨days⁩ ago

    That’s what I said. Exponential growth is always exponential.

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    • mxeff@feddit.org ⁨6⁩ ⁨days⁩ ago

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      • Clinicallydepressedpoochie@lemmy.world ⁨6⁩ ⁨days⁩ ago

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• ArbitraryValue@sh.itjust.works ⁨6⁩ ⁨days⁩ ago

  It’s exponential along its entire range, all the way back to negative infinity. It also is not an asymptotic function.

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  • Clinicallydepressedpoochie@lemmy.world ⁨6⁩ ⁨days⁩ ago

    Sure. Everything is exponential id you model it that way

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    • 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.

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      • 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?

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    • ArbitraryValue@sh.itjust.works ⁨6⁩ ⁨days⁩ ago

      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.

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      • 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.

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