Practical Convolutional Neural Networks

Convolutional operations

A convolution is a mathematical operation that slides one function over another and measures the integral of their pointwise multiplication. It has deep connections with the Fourier transformation and the Laplace transformation and is heavily used in signal processing. Convolutional layers actually use cross-correlations, which are very similar to convolutions.

In mathematics, convolution is a mathematical operation on two functions that produces a third function—that is, the modified (convoluted) version of one of the original functions. The resulting function gives in integral of the pointwise multiplication of the two functions as a function of the amount that one of the original functions is translated. Interested ...