Appendix G

Relating Convolutional Layers to Mathematical Convolution

This appendix is related to Chapter 7, “Convolutional Neural Networks Applied to Image Classification.”

The intent of this appendix is to give a brief description of the mathematical definition of convolution and to bridge the gap between the definition and its application in convolutional networks. This description targets readers who already have some familiarity with convolution. If you have not previously encountered the concept, you might first need to consult a more extensive text on convolution, which can typically be found in any book on signals and systems. One such book is written by Balmer (1997). Somewhat counterintuitively, we think it is questionable whether understanding ...

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