Convolutional Neural Networks

What is a convolution?

Convolution is a linear mathematical operation that combines two signals or mathematical functions, $f(x)$ and $g(x)$, to produce an output signal, $h(x)$. Mathematically:

The symbol $*$ denotes a convolution operation, whereas the rightmost expression involving a summation is a convolution sum. Convolution is usually employed to find the output response $h(x)$ against the input signal $f(x)$ when passed through a kernel or a filter $g(x)$.

Two-dimensional convolution

Digital images are two–dimensional signals that have two spatial independent variables: $x$ and $y$ ...