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

mxeff@feddit.org ⁨1⁩ ⁨week⁩ ago

• Clinicallydepressedpoochie@lemmy.world ⁨1⁩ ⁨week⁩ ago

  What are talking about it asymptoped at 5units. It cant be described as exponential until it is exponential otherwise its better described as linear.

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  • mxeff@feddit.org ⁨1⁩ ⁨week⁩ 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 ⁨6⁩ ⁨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 ⁨1⁩ ⁨week⁩ ago

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

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      • mxeff@feddit.org ⁨1⁩ ⁨week⁩ ago

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  • ArbitraryValue@sh.itjust.works ⁨1⁩ ⁨week⁩ 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 ⁨1⁩ ⁨week⁩ ago

      Sure. Everything is exponential id you model it that way

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      • agamemnonymous@sh.itjust.works ⁨1⁩ ⁨week⁩ 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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      • ArbitraryValue@sh.itjust.works ⁨1⁩ ⁨week⁩ 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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