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
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👉 Sigmoid function in the context of Pull-apart basin
In geology, a basin is a region where subsidence generates accommodation space for the deposition of sediments. A pull-apart basin is a structural basin where two overlapping (en echelon) strike-slip faults or a fault bend create an area of crustal extension undergoing tension, which causes the basin to sink down. Frequently, the basins are rhombic or sigmoidal in shape. Dimensionally, basins are limited to the distance between the faults and the length of overlap.
In this Dossier
Sigmoid function in the context of Logistic function
A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation
Sigmoid function in the context of Activation function
In artificial neural networks, the activation function of a node 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.
Modern activation functions include the logistic (sigmoid) function used in the 2012 speech recognition model developed by Hinton et al; the ReLU used in the 2012 AlexNet computer vision model and in the 2015 ResNet model; and the smooth version of the ReLU, the GELU, which was used in the 2018 BERT model.