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The critical point of a sigmoidal curve
(Babeș-Bolyai University, 2020)
Let y(t) be a monotone increasing curve with lim(t ->+/-infinity) y((n))(t) = 0 for all n and let t(n) be the location of the global extremum of the nth derivative y((n))(t). Under certain assumptions on the Fourier and ...
The Fourier Transform of the First Derivative of the Generalized Logistic Growth Curve
(International journal of advances in engineering and pure sciences (Online), 2020)
The “generalized logistic growth curve” or the “5-point sigmoid” is a typical example for sigmoidal curves without symmetry and it is commonly used for non-linear regression. The “critical point” of a sigmoidal curve is ...
Determining the critical point of a sigmoidal curve via its fourier transform
(Institute of Physics Publishing, 2016)
A sigmoidal curve y(t) is a monotone increasing curve such that all derivatives vanish at infinity. Let tn be the point where the nth derivative of y(t) reaches its global extremum. In the previous work on sol-gel transition ...