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The convex conjugate (specifically, the Legendre transform) of the softplus function is the negative binary entropy (with base e).This is because (following the definition of the Legendre transform: the derivatives are inverse functions) the derivative of softplus is the logistic function, whose inverse function is the logit, which is the derivative of negative binary entropy.
Plot of the ReLU (blue) and GELU (green) functions near x = 0 In the context of artificial neural networks , the rectifier or ReLU (rectified linear unit) activation function [ 1 ] [ 2 ] is an activation function defined as the non-negative part of its argument, i.e., the ramp 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 .
More generally this also holds if both ReLU and a threshold activation function are used. [17] Universal function approximation on graphs (or rather on graph isomorphism classes) by popular graph convolutional neural networks (GCNs or GNNs) can be made as discriminative as the Weisfeiler–Leman graph isomorphism test. [29]
The swish function is a family of mathematical function defined as follows: . The swish function = = +. [1]. where can be constant (usually set to 1) or trainable.. The swish family was designed to smoothly interpolate between a linear function and the ReLU function.
A perceptron traditionally used a Heaviside step function as its nonlinear activation function. However, the backpropagation algorithm requires that modern MLPs use continuous activation functions such as sigmoid or ReLU. [8] Multilayer perceptrons form the basis of deep learning, [9] and are applicable across a vast set of diverse domains. [10]
Rectified linear unit, a neuron activation function used in neural networks, usually referred to as an ReLU; Relative light unit, a unit for measuring cleanliness by measuring the levels of Adenosine Triphosphate; Remote line unit, a type of switch in the GTD-5 EAX switching system; RLU-1 Breezy, an American homebuilt aircraft design
Example of a spreadsheet holding data about a group of audio tracks. A spreadsheet is a computer application for computation, organization, analysis and storage of data in tabular form. [1] [2] [3] Spreadsheets were developed as computerized analogs of paper accounting worksheets. [4] The program operates on data entered in cells of a table.