Question: Two ways to turn the step function into a continuous function that approximates a step function are the (logistic) sigmoid s and the hyperbolic tangent

 Two ways to turn the step function into a continuous function

Two ways to turn the step function into a continuous function that approximates a step function are the (logistic) sigmoid s and the hyperbolic tangent t. Suppose a node has a weighted sum of inputs x. There is a relatively simple relationship between s(x) and t(x). Your task is to determine what t is, as a function of s (not x), and then identify the true statement below. a) If s = 9/10, then t= 42/43. b) If s = 9/10, then t = 40/41. c) Ifs = 3/10, then t=-31/41. d) If s = 1/5, then t=-13/15

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