In mathematics (in particular, functional analysis), convolution is a mathematical operation on two functions f {\displaystyle f} and g {\displaystyle...

In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the...

A convolutional neural network (CNN) is a type of feedforward neural network that learns features via filter (or kernel) optimization. This type of deep...

mathematics, convolution is a binary operation on functions. Circular convolution Convolution theorem Titchmarsh convolution theorem Dirichlet convolution Infimal...

In image processing, a kernel, convolution matrix, or mask is a small matrix used for blurring, sharpening, embossing, edge detection, and more. This...

space of convolution quotients is a field of fractions of a convolution ring of functions: a convolution quotient is to the operation of convolution as a...

neural networks, a convolutional layer is a type of network layer that applies a convolution operation to the input. Convolutional layers are some of...

Circular convolution, also known as cyclic convolution, is a special case of periodic convolution, which is the convolution of two periodic functions that...

In mathematics, Dirichlet convolution (or divisor convolution) is a binary operation defined for arithmetic functions; it is important in number theory...

negacyclic convolution is a convolution between two vectors a and b. It is also called skew circular convolution or wrapped convolution. It results from...

discrete convolution is the discrete analog of the multidimensional convolution of functions on Euclidean space. It is also a special case of convolution on...

The convolution/sum of probability distributions arises in probability theory and statistics as the operation in terms of probability distributions that...

distorting the signal tendency. This is achieved, in a process known as convolution, by fitting successive sub-sets of adjacent data points with a low-degree...

represents the 'convolution' of the encoder over the data, which gives rise to the term 'convolutional coding'. The sliding nature of the convolutional codes facilitates...

In scientific visualization, line integral convolution (LIC) is a method to visualize a vector field (such as fluid motion) at high spatial resolutions...

Free convolution is the free probability analog of the classical notion of convolution of probability measures. Due to the non-commutative nature of free...

In mathematics, Young's convolution inequality is a mathematical inequality about the convolution of two functions, named after William Henry Young. In...

scale convolution of two functions s ( t ) {\displaystyle s(t)} and r ( t ) {\displaystyle r(t)} , also known as their logarithmic convolution or log-volution...

implement different flavors of message passing, started by recursive or convolutional constructive approaches. As of 2022[update], it is an open question...

convolution is a special subset of convolution operations in which the convolution kernel is symmetric across its zero point. Many common convolution-based...

partial differential equations, and to perform other operations such as convolutions or multiplying large integers. Since it deals with a finite amount of...

products, bounding the product of two quantities Young's convolution inequality, bounding the convolution product of two functions Young's inequality for integral...

The Titchmarsh convolution theorem describes the properties of the support of the convolution of two functions. It was proven by Edward Charles Titchmarsh...

the pitch of the reverberated sound, is often used in ambient music. Convolution reverb uses impulse responses to record the reverberation of physical...

temporal gyrus, also called Heschl's gyrus (/ˈhɛʃəlz ˈdʒaɪrəs/) or Heschl's convolutions, is a gyrus found in the area of each primary auditory cortex buried...

In mathematics, the convolution power is the n-fold iteration of the convolution with itself. Thus if x {\displaystyle x} is a function on Euclidean space...

The Hilbert transform is given by the Cauchy principal value of the convolution with the function 1 / ( π t ) {\displaystyle 1/(\pi t)} (see § Definition)...

that has been encoded using a convolutional code or trellis code. There are other algorithms for decoding a convolutionally encoded stream (for example...

a cyclic convolution (the other algorithm for FFTs of prime sizes, Bluestein's algorithm, also works by rewriting the DFT as a convolution). Since Rader's...

the behavior of the filter as a convolution of the time-domain input with the filter's impulse response. The convolution theorem, which holds for Laplace...