The Role of Network Analysis in Industrial and Applied Mathematics
Abstract
Many problems in industry --- and in the social, natural, information, and medical sciences --- involve discrete data and benefit from approaches from subjects such as network science, information theory, optimization, probability, and statistics. The study of networks is concerned explicitly with connectivity between different entities, and it has become very prominent in industrial settings, an importance that has intensified amidst the modern data deluge. In this commentary, we discuss the role of network analysis in industrial and applied mathematics, and we give several examples of network science in industry. We focus, in particular, on discussing a physical-applied-mathematics approach to the study of networks. We also discuss several of our own collaborations with industry on projects in network analysis.
Keywords
Cite
@article{arxiv.1703.06843,
title = {The Role of Network Analysis in Industrial and Applied Mathematics},
author = {Mason A. Porter and Sam D. Howison},
journal= {arXiv preprint arXiv:1703.06843},
year = {2018}
}
Comments
further revised and updated, including with more detail about industrial applications; article associated with talk at Royal Society Meeting on Mathematics for the Modern Economy; meeting URL: https://royalsociety.org/science-events-and-lectures/2017/06/maths-modern-economy/ ; video of the talk: https://www.youtube.com/watch?v=SqjSMXwIE9Q