Comment on If AI was going to advance exponentially I'd of expected it to take off by now.
Clinicallydepressedpoochie@lemmy.world 3 weeks agoNope. There isn’t an infinite number of linear functions that will fit this curve. Based on the slope and y intercept there is only one linear function. There may be other approximations but only one line of best fit that will predict future outcomes.
mxeff@feddit.org 3 weeks ago
But this takes only into consideration the two selected point used to calculate the the slope and intercept. All other point will not exactly lie on linear function. And as you can choose any combination of two point you will get again infinitely many different parametrization a of the linear model.
Clinicallydepressedpoochie@lemmy.world 3 weeks ago
But if it is a linear function it doesnt mater if you only use two points. Unless the function is not linear. If the line isn’t completely smooth you could also polynomial function that would fit the curve. Unless it exhibits exponential behavior why would you ever model it as an exponential if linear or polynomial models the data more accurately?
mxeff@feddit.org 3 weeks ago
But if the data originates from an exponential, any selection of two points will yield a different slope, because the data point lie not exactly on a straight line.
You suggested to model it linearly, that is what we are discussing here.
Clinicallydepressedpoochie@lemmy.world 3 weeks ago
Does the data originate from an exponential? Can you prove it?