I’m here from the future trying to decide how much to believe in and how common are Gods of Straight Lines, and curious if you could say more arguing about this.
Sigmoid is usually what “straight line” should mean for a quantity bounded at 0 and 1. It’s a straight line in logit-space, the most natural space which complies with that range restriction. (Just as exponentials are often the correct form of “straight line” for things that are required to be positive but have no ceiling in sight.)
I’m here from the future trying to decide how much to believe in and how common are Gods of Straight Lines, and curious if you could say more arguing about this.
Sigmoid is usually what “straight line” should mean for a quantity bounded at 0 and 1. It’s a straight line in logit-space, the most natural space which complies with that range restriction.
(Just as exponentials are often the correct form of “straight line” for things that are required to be positive but have no ceiling in sight.)