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A sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the logistic function , which is defined by the formula: [ 1 ]
The standard logistic function is the logistic function with parameters =, =, =, which yields = + = + = / / + /.In practice, due to the nature of the exponential function, it is often sufficient to compute the standard logistic function for over a small range of real numbers, such as a range contained in [−6, +6], as it quickly converges very close to its saturation values of 0 and 1.
The inflection point of the sigmoid function or the point at which the function reaches the middle between the chance level and 100% is usually taken as sensory threshold. Plot the proportion of "yes" responses on the y-axis, and therefore create a sigmoidal shape covering the range [0, 1], rather than merely [0.5, 1].
Logistic activation function. The activation function of a node in an artificial neural network is a function that calculates the output of the node based on its individual inputs and their weights. Nontrivial problems can be solved using only a few nodes if the activation function is nonlinear. [1]
A child aged 1–3 years old can have a heart rate of 80–130 bpm, a child aged 3–5 years old a heart rate of 80–120 bpm, an older child (age of 6–10) a heart rate of 70–110 bpm, and an adolescent (age 11–14) a heart rate of 60–105 bpm. [12] An adult (age 15+) can have a heart rate of 60–100 bpm. [12]
The first examples were the arbitrary width case.George Cybenko in 1989 proved it for sigmoid activation functions. [3] Kurt Hornik [], Maxwell Stinchcombe, and Halbert White showed in 1989 that multilayer feed-forward networks with as few as one hidden layer are universal approximators. [1]
Heart rate variability visualized with R-R interval changes Electrocardiogram (ECG) recording of a canine heart that illustrates beat-to-beat variability in R–R interval (top) and heart rate (bottom). Heart rate variability (HRV) is the physiological phenomenon of variation in the time interval between heartbeats. It is measured by the ...
The Hill equation can be applied in modelling the rate at which a gene product is produced when its parent gene is being regulated by transcription factors (e.g., activators and/or repressors). [11] Doing so is appropriate when a gene is regulated by multiple binding sites for transcription factors, in which case the transcription factors may ...