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many situations, discrete convolutions can be converted to circular convolutions so that fast transforms with a convolution property can be used to implement...

or more layers that perform convolutions. Typically this includes a layer that performs a dot product of the convolution kernel with the layer's input...

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...

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

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

overlap between two adjacent convolutions, whereas the darker blue portion correlates to overlap between all four convolutions. All of these overlap portions...

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

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

respectively. Many well known distributions have simple convolutions: see List of convolutions of probability distributions. The general formula for the...

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

This expansion follows from the identity for the sums over Dirichlet convolutions given on the divisor sum identities page (a standard trick for these...

science, a convolutional deep belief network (CDBN) is a type of deep artificial neural network composed of multiple layers of convolutional restricted...

property can be exploited to make these convolutions easier to evaluate. The convolution theorem states that a convolution in the real domain can be represented...

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

Ravindran, Balaraman; Aggarwal, Gaurav (2021-09-02). "Understanding Convolutions on Graphs". Distill. 6 (9): e32. doi:10.23915/distill.00032. ISSN 2476-0757...

In scientific visualization, line integral convolution (LIC) is a method to visualize a vector field, such as fluid motion. global method integration-based...

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...

respectively. Many well known distributions have simple convolutions. The following is a list of these convolutions. Each statement is of the form ∑ i = 1 n X i...

The convolutional sparse coding paradigm is an extension of the global sparse coding model, in which a redundant dictionary is modeled as a concatenation...

separable convolutions can significantly decrease the computation by doing 1D convolution twice instead of one 2D convolution. Here a concrete convolution implementation...