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SOFTPLUS

Softplus

Smoothed ramp function

above x {\displaystyle x} . The names softplus and SmoothReLU are used in machine learning. The name "softplus" (2000), by analogy with the earlier softmax

Softplus

Rectified linear unit

Type of activation function

(2010) made a theoretical argument that the softplus activation function should be used, in that the softplus function numerically approximates the sum

Rectified linear unit

Rectified_linear_unit

Binary entropy function

Entropy of a process with only two probable values

inverse function is the logistic function, which is the derivative of softplus. Softplus can be interpreted as logistic loss, so by duality, minimizing logistic

Binary entropy function

Binary_entropy_function

Logistic function

S-shaped curve

du=\ln u=\ln(1+e^{x}).} In artificial neural networks, this is known as the softplus function and (with scaling) is a smooth approximation of the ramp function

Logistic function

Logistic_function

LogSumExp

Smooth approximation to the maximum function

The LogSumExp (LSE) (also called RealSoftMax or multivariable softplus) function is a smooth maximum – a smooth approximation to the maximum function,

LogSumExp

Activation function

Artificial neural network node function

properties that may be useful. For instance, the strictly positive range of the softplus makes it suitable for predicting variances in variational autoencoders

Activation function

Activation_function

Sigmoid function

Mathematical function having a characteristic S-shaped curve or sigmoid curve

Statistical model for a binary dependent variable Logit – Function in statistics Softplus function – Smoothed ramp functionPages displaying short descriptions of

Sigmoid function

Sigmoid_function

Feedforward neural network

Type of artificial neural network

Alternative activation functions have been proposed, including the rectifier and softplus functions. More specialized activation functions include radial basis functions

Feedforward neural network

Feedforward_neural_network

Multilayer perceptron

Type of feedforward neural network

Alternative activation functions have been proposed, including the rectifier and softplus functions. More specialized activation functions include radial basis functions

Multilayer perceptron

Multilayer_perceptron

Convolutional neural network

Type of feedforward neural network

the original (PDF) on 2016-12-13. Retrieved 2023-04-10. Rectifier and softplus activation functions. The second one is a smooth version of the first.

Convolutional neural network

Convolutional_neural_network

Softmax function

Smooth approximation of one-hot arg max

discrete-discrete distribution needs to be mimicked in a differentiable manner. Softplus Multinomial logistic regression Dirichlet distribution – an alternative

Softmax function

Softmax_function

Gaussian logarithm

by the cost of evaluating these functions for addition and subtraction. Softplus operation in neural networks Zech's logarithm Logarithm table Logarithmic

Gaussian logarithm