Estimation of the Sample Frechet Mean: A Convolutional Neural Network Approach. (arXiv:2210.07401v1 [cs.LG])

This work addresses the rising demand for novel tools in statistical and
machine learning for "graph-valued random variables" by proposing a fast
algorithm to compute the sample Frechet mean, which replaces the concept of
sample mean for graphs (or networks). We use convolutional neural networks to
learn the morphology of the graphs in a set of graphs. Our experiments on
several ensembles of random graphs demonstrate that our method can reliably
recover the sample Frechet mean.

arxiv convolutional neural network mean network neural network