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37 relations: Activation function, Algebraic function, Artificial neuron, Asymptote, Bounded function, Cumulative distribution function, Dam, Derivative, Differentiable function, Error function, Function (mathematics), Generalised logistic function, Gompertz function, Gudermannian function, Heaviside step function, Hyperbolic function, Integral, Inverse trigonometric functions, Learning curve, Logistic distribution, Logistic function, Logistic regression, Logit, Monotonic function, Normal distribution, Ogee, Probability distribution, Real number, Sign (mathematics), Smoothstep, Softmax function, Soil salinity, Spillway, Student's t-distribution, Van Genuchten–Gupta model, Water table, Weibull distribution.
Activation function
In artificial neural networks, the activation function of a node defines the output of that node given an input or set of inputs.
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Algebraic function
In mathematics, an algebraic function is a function that can be defined as the root of a polynomial equation.
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Artificial neuron
An artificial neuron is a mathematical function conceived as a model of biological neurons, a neural network.
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Asymptote
In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.
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Bounded function
In mathematics, a function f defined on some set X with real or complex values is called bounded, if the set of its values is bounded.
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Cumulative distribution function
In probability theory and statistics, the cumulative distribution function (CDF, also cumulative density function) of a real-valued random variable X, or just distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x. In the case of a continuous distribution, it gives the area under the probability density function from minus infinity to x. Cumulative distribution functions are also used to specify the distribution of multivariate random variables.
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Dam
A dam is a barrier that stops or restricts the flow of water or underground streams.
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Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
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Differentiable function
In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.
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Error function
In mathematics, the error function (also called the Gauss error function) is a special function (non-elementary) of sigmoid shape that occurs in probability, statistics, and partial differential equations describing diffusion.
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Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
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Generalised logistic function
The generalised (generalized) logistic function or curve, also known as Richards' curve, originally developed for growth modelling, is an extension of the logistic or sigmoid functions, allowing for more flexible S-shaped curves: where Y.
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Gompertz function
The Gompertz curve or Gompertz function, is a type of mathematical model for a time series and is named after Benjamin Gompertz (1779-1865).
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Gudermannian function
The Gudermannian function, named after Christoph Gudermann (1798–1852), relates the circular functions and hyperbolic functions without explicitly using complex numbers.
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Heaviside step function
The Heaviside step function, or the unit step function, usually denoted by or (but sometimes, or), is a discontinuous function named after Oliver Heaviside (1850–1925), whose value is zero for negative argument and one for positive argument.
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Hyperbolic function
In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions.
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Integral
In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
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Inverse trigonometric functions
In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric functions (with suitably restricted domains).
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Learning curve
A learning curve is a graphical representation of how an increase in learning (measured on the vertical axis) comes from greater experience (the horizontal axis); or how the more someone (or thing) does something, the better they get at it.
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Logistic distribution
In probability theory and statistics, the logistic distribution is a continuous probability distribution.
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Logistic function
A logistic function or logistic curve is a common "S" shape (sigmoid curve), with equation: where.
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Logistic regression
In statistics, the logistic model (or logit model) is a statistical model that is usually taken to apply to a binary dependent variable.
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Logit
The logit function is the inverse of the sigmoidal "logistic" function or logistic transform used in mathematics, especially in statistics.
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Monotonic function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.
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Normal distribution
In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution.
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Ogee
An ogee is a curve (often used in moulding), shaped somewhat like an S, consisting of two arcs that curve in opposite senses, so that the ends are parallel.
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Probability distribution
In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
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Sign (mathematics)
In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.
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Smoothstep
Smoothstep is a family of sigmoid-like interpolation and clamping functions commonly used in computer graphics and video game engines.
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Softmax function
In mathematics, the softmax function, or normalized exponential function, is a generalization of the logistic function that "squashes" a -dimensional vector \mathbf of arbitrary real values to a -dimensional vector \sigma(\mathbf) of real values, where each entry is in the range (0, 1, and all the entries add up to 1. The function is given by In probability theory, the output of the softmax function can be used to represent a categorical distribution – that is, a probability distribution over different possible outcomes. In fact, it is the gradient-log-normalizer of the categorical probability distribution. The softmax function is also the gradient of the LogSumExp function. The softmax function is used in various multiclass classification methods, such as multinomial logistic regression (also known as softmax regression), multiclass linear discriminant analysis, naive Bayes classifiers, and artificial neural networks. Specifically, in multinomial logistic regression and linear discriminant analysis, the input to the function is the result of distinct linear functions, and the predicted probability for the 'th class given a sample vector and a weighting vector is: This can be seen as the composition of linear functions \mathbf \mapsto \mathbf^\mathsf\mathbf_1, \ldots, \mathbf \mapsto \mathbf^\mathsf\mathbf_K and the softmax function (where \mathbf^\mathsf\mathbf denotes the inner product of \mathbf and \mathbf). The operation is equivalent to applying a linear operator defined by \mathbf to vectors \mathbf, thus transforming the original, probably highly-dimensional, input to vectors in a -dimensional space \mathbb^K.
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Soil salinity
Soil salinity is the salt content in the soil; the process of increasing the salt content is known as salinization.
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Spillway
A spillway is a structure used to provide the controlled release of flows from a dam or levee into a downstream area, typically the riverbed of the dammed river itself.
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Student's t-distribution
In probability and statistics, Student's t-distribution (or simply the t-distribution) is any member of a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.
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Van Genuchten–Gupta model
The van Genuchten–Gupta model is an inverted S-curve applicable to crop yield and soil salinity relations.
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Water table
The water table is the upper surface of the zone of saturation.
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Weibull distribution
No description.
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Double sigmoid, Double sigmoid curve, Hard sigmoid, S-curve (math), S-shape curve, S-shaped curve, Sigmoid curve, Sigmoidal curve, Sigmoids, Squashing function.
References
[1] https://en.wikipedia.org/wiki/Sigmoid_function
