Sigmoid function, the Glossary

Table of Contents

1. 58 relations: Activation function, Algebraic function, Analogue electronics, Artificial neuron, Asymptote, Audio signal processing, Bell-shaped function, Biochemistry, BioMed Central, Bounded function, Cauchy distribution, Clipping (audio), Concave function, Convex function, Cumulative distribution function, Dam, Derivative, Differentiable function, Error function, Function (mathematics), Generalised logistic function, GitHub, Gompertz function, Graph of a function, Gudermannian function, Hard sigmoid, Hill equation (biochemistry), Hyperbolic functions, IEEE Transactions on Neural Networks and Learning Systems, Inflection point, Institute of Electrical and Electronics Engineers, Integral, Inverse trigonometric functions, Learning curve, Logistic distribution, Logistic function, Logit, McGraw Hill Education, Monotonic function, Neural network (machine learning), Normal distribution, Ogee, PH, Pharmacology, Power transform, Probability distribution, Real number, Smoothness, Smoothstep, Soil salinity, ... Expand index (8 more) »

2. Elementary special functions

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. Sigmoid function and activation function are artificial neural networks.

See Sigmoid function and Activation function

Algebraic function

In mathematics, an algebraic function is a function that can be defined as the root of an irreducible polynomial equation.

See Sigmoid function and Algebraic function

Analogue electronics

Analogue electronics (analog electronics) are electronic systems with a continuously variable signal, in contrast to digital electronics where signals usually take only two levels.

See Sigmoid function and Analogue electronics

Artificial neuron

An artificial neuron is a mathematical function conceived as a model of biological neurons in a neural network. Sigmoid function and artificial neuron are artificial neural networks.

See Sigmoid function and Artificial neuron

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.

See Sigmoid function and Asymptote

Audio signal processing

Audio signal processing is a subfield of signal processing that is concerned with the electronic manipulation of audio signals.

See Sigmoid function and Audio signal processing

Bell-shaped function

A bell-shaped function or simply 'bell curve' is a mathematical function having a characteristic "bell"-shaped curve.

See Sigmoid function and Bell-shaped function

Biochemistry

Biochemistry or biological chemistry is the study of chemical processes within and relating to living organisms.

See Sigmoid function and Biochemistry

BioMed Central

BioMed Central (BMC) is a United Kingdom-based, for-profit scientific open access publisher that produces over 250 scientific journals.

See Sigmoid function and BioMed Central

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.

See Sigmoid function and Bounded function

Cauchy distribution

The Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution.

See Sigmoid function and Cauchy distribution

Clipping (audio)

Clipping is a form of waveform distortion that occurs when an amplifier is overdriven and attempts to deliver an output voltage or current beyond its maximum capability.

See Sigmoid function and Clipping (audio)

Concave function

In mathematics, a concave function is one for which the value at any convex combination of elements in the domain is greater than or equal to the convex combination of the values at the endpoints.

See Sigmoid function and Concave function

Convex function

In mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above the graph between the two points.

See Sigmoid function and Convex function

Cumulative distribution function

In probability theory and statistics, the cumulative distribution function (CDF) 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. Every probability distribution supported on the real numbers, discrete or "mixed" as well as continuous, is uniquely identified by a right-continuous monotone increasing function (a càdlàg function) F \colon \mathbb R \rightarrow satisfying \lim_F(x).

See Sigmoid function and Cumulative distribution function

Dam

A dam is a barrier that stops or restricts the flow of surface water or underground streams.

See Sigmoid function and Dam

Derivative

The derivative is a fundamental tool of calculus that quantifies the sensitivity of change of a function's output with respect to its input.

See Sigmoid function and Derivative

Differentiable function

In mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain.

See Sigmoid function and Differentiable function

Error function

In mathematics, the error function (also called the Gauss error function), often denoted by, is a function defined as: \operatorname z.

See Sigmoid function and Error function

Function (mathematics)

In mathematics, a function from a set to a set assigns to each element of exactly one element of.

See Sigmoid function and Function (mathematics)

Generalised logistic function

The generalized logistic function or curve is an extension of the logistic or sigmoid functions.

See Sigmoid function and Generalised logistic function

GitHub

GitHub is a developer platform that allows developers to create, store, manage and share their code.

See Sigmoid function and GitHub

Gompertz function

The Gompertz curve or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865).

See Sigmoid function and Gompertz function

Graph of a function

In mathematics, the graph of a function f is the set of ordered pairs (x, y), where f(x).

See Sigmoid function and Graph of a function

Gudermannian function

In mathematics, the Gudermannian function relates a hyperbolic angle measure \psi to a circular angle measure \phi called the gudermannian of \psi and denoted \operatorname\psi. Sigmoid function and gudermannian function are Elementary special functions.

See Sigmoid function and Gudermannian function

Hard sigmoid

In artificial intelligence, especially computer vision and artificial neural networks, a hard sigmoid is non-smooth function used in place of a sigmoid function. Sigmoid function and hard sigmoid are artificial neural networks.

See Sigmoid function and Hard sigmoid

Hill equation (biochemistry)

In biochemistry and pharmacology, the Hill equation refers to two closely related equations that reflect the binding of ligands to macromolecules, as a function of the ligand concentration.

See Sigmoid function and Hill equation (biochemistry)

Hyperbolic functions

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Sigmoid function and hyperbolic functions are Elementary special functions.

See Sigmoid function and Hyperbolic functions

IEEE Transactions on Neural Networks and Learning Systems

IEEE Transactions on Neural Networks and Learning Systems is a monthly peer-reviewed scientific journal published by the IEEE Computational Intelligence Society.

See Sigmoid function and IEEE Transactions on Neural Networks and Learning Systems

Inflection point

In differential calculus and differential geometry, an inflection point, point of inflection, flex, or inflection (rarely inflexion) is a point on a smooth plane curve at which the curvature changes sign.

See Sigmoid function and Inflection point

Institute of Electrical and Electronics Engineers

The Institute of Electrical and Electronics Engineers (IEEE) is an American 501(c)(3) professional association for electronics engineering, electrical engineering, and other related disciplines.

See Sigmoid function and Institute of Electrical and Electronics Engineers

Integral

In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations.

See Sigmoid function and Integral

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). Sigmoid function and inverse trigonometric functions are Elementary special functions.

See Sigmoid function and Inverse trigonometric functions

Learning curve

A learning curve is a graphical representation of the relationship between how proficient people are at a task and the amount of experience they have.

See Sigmoid function and Learning curve

Logistic distribution

In probability theory and statistics, the logistic distribution is a continuous probability distribution.

See Sigmoid function and Logistic distribution

Logistic function

A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation where The logistic function has domain the real numbers, the limit as x \to -\infty is 0, and the limit as x \to +\infty is L. The standard logistic function, depicted at right, where L.

See Sigmoid function and Logistic function

Logit

In statistics, the logit function is the quantile function associated with the standard logistic distribution.

See Sigmoid function and Logit

McGraw Hill Education

McGraw Hill is an American publishing company for educational content, software, and services for pre-K through postgraduate education.

See Sigmoid function and McGraw Hill Education

Monotonic function

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.

See Sigmoid function and Monotonic function

Neural network (machine learning)

In machine learning, a neural network (also artificial neural network or neural net, abbreviated ANN or NN) is a model inspired by the structure and function of biological neural networks in animal brains. Sigmoid function and neural network (machine learning) are artificial neural networks.

See Sigmoid function and Neural network (machine learning)

Normal distribution

In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable.

See Sigmoid function and Normal distribution

Ogee

An ogee is an object, element, or curve—often seen in architecture and building trades—that has a serpentine- or extended S-shape (sigmoid).

See Sigmoid function and Ogee

PH

In chemistry, pH, also referred to as acidity or basicity, historically denotes "potential of hydrogen" (or "power of hydrogen").

See Sigmoid function and PH

Pharmacology

Pharmacology is the science of drugs and medications, including a substance's origin, composition, pharmacokinetics, pharmacodynamics, therapeutic use, and toxicology.

See Sigmoid function and Pharmacology

Power transform

In statistics, a power transform is a family of functions applied to create a monotonic transformation of data using power functions.

See Sigmoid function and Power transform

Probability distribution

In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes for an experiment.

See Sigmoid function and Probability distribution

Real number

In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.

See Sigmoid function and Real number

Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number, called differentiability class, of continuous derivatives it has over its domain.

See Sigmoid function and Smoothness

Smoothstep

Smoothstep is a family of sigmoid-like interpolation and clamping functions commonly used in computer graphics, video game engines, and machine learning.

See Sigmoid function and Smoothstep

Soil salinity

Soil salinity is the salt content in the soil; the process of increasing the salt content is known as salinization.

See Sigmoid function and Soil salinity

Spillway

A spillway is a structure used to provide the controlled release of water downstream from a dam or levee, typically into the riverbed of the dammed river itself.

See Sigmoid function and Spillway

Student's t-distribution

In probability and statistics, Student's distribution (or simply the distribution) \ t_\nu\ is a continuous probability distribution that generalizes the standard normal distribution.

See Sigmoid function and Student's t-distribution

Titration curve

Titrations are often recorded on graphs called titration curves, which generally contain the volume of the titrant as the independent variable and the pH of the solution as the dependent variable (because it changes depending on the composition of the two solutions).

See Sigmoid function and Titration curve

Transfer function

In engineering, a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models the system's output for each possible input.

See Sigmoid function and Transfer function

Unum (number format)

Unums (universal numbers) are a family of number formats and arithmetic for implementing real numbers on a computer, proposed by John L. Gustafson in 2015.

See Sigmoid function and Unum (number format)

Van Genuchten–Gupta model

The Van Genuchten–Gupta model is an inverted S-curve applicable to crop yield and soil salinity relations.

See Sigmoid function and Van Genuchten–Gupta model

Water table

The water table is the upper surface of the zone of saturation.

See Sigmoid function and Water table

Waveshaper

In electronic music, waveshaping is a type of distortion synthesis in which complex spectra are produced from simple tones by altering the shape of the waveforms.

See Sigmoid function and Waveshaper

See also

Elementary special functions

• Constant function
• Cube root
• Dirichlet function
• Double exponential function
• Exponential function
• Exponentials
• Gudermannian function
• Hyperbolic functions
• Inverse hyperbolic functions
• Inverse trigonometric functions
• Kronecker delta
• Logarithm
• Logarithms
• Multiplicative inverse
• Natural logarithm
• Ptolemy's table of chords
• Sigmoid function
• Sinc function
• Soboleva modified hyperbolic tangent
• Square root
• Trigonometric functions
• Trigonometry

References

[1] https://en.wikipedia.org/wiki/Sigmoid_function

Also known as Double sigmoid, Double sigmoid curve, S-curve (math), S-shape curve, S-shaped, S-shaped curve, Sigmoid curve, Sigmoid shape, Sigmoid shaped, Sigmoid-shape, Sigmoid-shaped, Sigmoidal curve, Sigmoidal function, Sigmoids, Squashing function.

, Spillway, Student's t-distribution, Titration curve, Transfer function, Unum (number format), Van Genuchten–Gupta model, Water table, Waveshaper.