Estimation of the Sample Frechet Mean: A Convolutional Neural Network Approach
Machine Learning
2022-10-17 v1 Social and Information Networks
Data Analysis, Statistics and Probability
Machine Learning
Abstract
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.
Cite
@article{arxiv.2210.07401,
title = {Estimation of the Sample Frechet Mean: A Convolutional Neural Network Approach},
author = {Adam Sanchez and François G. Meyer},
journal= {arXiv preprint arXiv:2210.07401},
year = {2022}
}