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View Full Version : Series expansion of a sigmoid


hak185
Nov22-11, 12:24 PM
I am just curious to know if it is possible to derive a series expansion for the following sigmoid equation:

base + max/(1+exp(H-x/rate))

where the coefficients are base, max, H, and rate.

Would appreciate any insight.

hak185
Nov22-11, 05:14 PM
Seem like I can infer from the ratio of responses to views that this is not a very feasible concept...? In any case, I would appreciate any type of feedback. I would just like to get an idea of how attainable the derivation is, especially from someone who is knowledgable on applying taylor series expansion to functions.

vladb
Nov23-11, 03:22 AM
I am just curious to know if it is possible to derive a series expansion for the following sigmoid equation:

base + max/(1+exp(H-x/rate))

where the coefficients are base, max, H, and rate.

Would appreciate any insight.

What type of series are you interested in? Taylor?
You can use wolframalpha's symbolic calculator: http://www.wolframalpha.com/input/?i=series+b+%2B+m%2F%281%2Bexp%28H-x%2Fr%29%29