TL;DR: Have you even wondered what is so special about convolution? In this post, I derive the convolution from first principles and show that it naturally emerges from translational symmetry. During…
P. Chapman, G. Stapleton, J. Howse, and I. Oliver. 2011 IEEE Symposium on Visual Languages and Human-Centric Computing (VL/HCC), page 87-94. (September 2011)
X. Wang, and M. Zhang. Proceedings of the 39th International Conference on Machine Learning, volume 162 of Proceedings of Machine Learning Research, page 23341--23362. PMLR, (17--23 Jul 2022)
J. Feng, Y. Chen, F. Li, A. Sarkar, and M. Zhang. Advances in Neural Information Processing Systems, 35, page 4776--4790. Curran Associates, Inc., (2022)