Gaussian Processes on Cellular Complexes. (arXiv:2311.01198v1 [cs.LG])

In recent years, there has been considerable interest in developing machine
learning models on graphs in order to account for topological inductive biases.
In particular, recent attention was given to Gaussian processes on such
structures since they can additionally account for uncertainty. However, graphs
are limited to modelling relations between two vertices. In this paper, we go
beyond this dyadic setting and consider polyadic relations that include
interactions between vertices, edges and one of their generalisations, known as
cells. Specifically, …

arxiv attention biases cellular gaussian processes graphs inductive machine machine learning machine learning models modelling processes relations uncertainty