Did you ever end up looking at a statistics book and seeing if there is a standard technique? The hyperbolic tangent has a lot of the properties you would want (it’s an increasing function that goes from −1 to +1 over the reals) but it gets really flat very quickly. I guess ideally you’d use something based on the normal distribution itself, but you’ll find tanh built into more software.
Not yet! I used tanh because of those properties, actually—I basically want a differentiable step function in this case (the problem I dissolved was figuring out what exactly I needed). I may check a book soon anyways, though.
Did you ever end up looking at a statistics book and seeing if there is a standard technique? The hyperbolic tangent has a lot of the properties you would want (it’s an increasing function that goes from −1 to +1 over the reals) but it gets really flat very quickly. I guess ideally you’d use something based on the normal distribution itself, but you’ll find tanh built into more software.
Not yet! I used tanh because of those properties, actually—I basically want a differentiable step function in this case (the problem I dissolved was figuring out what exactly I needed). I may check a book soon anyways, though.