Relational data represent relationships between entities anywhere on the web (e.g. online social networks) or in the physical world (e.g. structure of the protein).
Graph neural networks are intimately related to partial differential equations governing information diffusion on graphs. Thinking of GNNs as PDEs leads to a new broad class of graph ML methods.
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)