1 code implementation • 22 Feb 2009 • Mason A. Porter, Jukka-Pekka Onnela, Peter J. Mucha
We survey some of the concepts, methods, and applications of community detection, which has become an increasingly important area of network science.
Physics and Society Statistical Mechanics Computers and Society Discrete Mathematics Statistics Theory Adaptation and Self-Organizing Systems Computational Physics Statistics Theory
1 code implementation • 15 Mar 2014 • Lucas G. S. Jeub, Prakash Balachandran, Mason A. Porter, Peter J. Mucha, Michael W. Mahoney
In this paper, we adopt a complementary perspective that "communities" are associated with bottlenecks of locally-biased dynamical processes that begin at seed sets of nodes, and we employ several different community-identification procedures (using diffusion-based and geodesic-based dynamics) to investigate community quality as a function of community size.
Social and Information Networks Disordered Systems and Neural Networks Combinatorics Adaptation and Self-Organizing Systems Physics and Society
1 code implementation • 30 Jun 2015 • Nina Otter, Mason A. Porter, Ulrike Tillmann, Peter Grindrod, Heather A. Harrington
We give a friendly introduction to PH, navigate the pipeline for the computation of PH with an eye towards applications, and use a range of synthetic and real-world data sets to evaluate currently available open-source implementations for the computation of PH.
Algebraic Topology Computational Geometry Data Analysis, Statistics and Probability Quantitative Methods
no code implementations • 18 Oct 2015 • Lucas G. S. Jeub, Michael W. Mahoney, Peter J. Mucha, Mason A. Porter
The analysis of multilayer networks is among the most active areas of network science, and there are now several methods to detect dense "communities" of nodes in multilayer networks.
Social and Information Networks Probability Adaptation and Self-Organizing Systems Data Analysis, Statistics and Probability Physics and Society
no code implementations • 24 Sep 2017 • Martin D. Gould, Nikolaus Hautsch, Sam D. Howison, Mason A. Porter
A counterparty credit limit (CCL) is a limit that is imposed by a financial institution to cap its maximum possible exposure to a specified counterparty.
1 code implementation • 1 May 2018 • Walid Ahmad, Mason A. Porter, Mariano Beguerisse-Díaz
Network theory is a useful framework for studying interconnected systems of interacting entities.
Physics and Society Numerical Analysis Social and Information Networks Numerical Analysis Probability Adaptation and Self-Organizing Systems
no code implementations • 31 May 2018 • Ryan Flanagan, Lucas Lacasa, Emma K. Towlson, Sang Hoon Lee, Mason A. Porter
This suggests that Aripiprazole has a significant and measurable effect on community structure in healthy individuals but not in individuals who are diagnosed with schizophrenia.
1 code implementation • 7 Jun 2018 • Zachary M. Boyd, Mason A. Porter, Andrea L. Bertozzi
Networks, which represent agents and interactions between them, arise in myriad applications throughout the sciences, engineering, and even the humanities.
no code implementations • 22 Sep 2018 • Bernadette J. Stolz, Tegan Emerson, Satu Nahkuri, Mason A. Porter, Heather A. Harrington
With these tools, which allow one to characterize topological invariants such as loops in high-dimensional data, we are able to gain understanding into low-dimensional structures in networks in a way that complements traditional approaches that are based on pairwise interactions.
1 code implementation • 5 Nov 2018 • Alexandria Volkening, Daniel F. Linder, Mason A. Porter, Grzegorz A. Rempala
To shed light on this process, we develop a method for forecasting elections from the perspective of dynamical systems.
Physics and Society Social and Information Networks Dynamical Systems Adaptation and Self-Organizing Systems Populations and Evolution
no code implementations • 15 Nov 2018 • Baichuan Yuan, Hao Li, Andrea L. Bertozzi, P. Jeffrey Brantingham, Mason A. Porter
There is often latent network structure in spatial and temporal data and the tools of network analysis can yield fascinating insights into such data.
1 code implementation • 31 Dec 2018 • Alexandra N. M. Darmon, Marya Bazzi, Sam D. Howison, Mason A. Porter
In this paper, we examine punctuation sequences in a corpus of literary documents and ask the following questions: Are the properties of such sequences a distinctive feature of different authors?
2 code implementations • 3 Apr 2019 • Dane Taylor, Mason A. Porter, Peter J. Mucha
Characterizing the importances of nodes in social, biological, information and technological networks is a core topic for the network-science and data-science communities.
Social and Information Networks Physics and Society 05C82
no code implementations • 11 Aug 2019 • A. Roxana Pamfil, Sam D. Howison, Mason A. Porter
A common (but {potentially} inadequate) assumption of these models is the sampling of edges in different layers independently, conditioned on the community labels of the nodes.
2 code implementations • 26 Aug 2019 • Jane Carlen, Jaume de Dios Pont, Cassidy Mentus, Shyr-Shea Chang, Stephanie Wang, Mason A. Porter
In urban spatial networks, there is an interdependency between neighborhood roles and the transportation methods between neighborhoods.
Social and Information Networks Statistics Theory Adaptation and Self-Organizing Systems Physics and Society Applications Statistics Theory
no code implementations • 9 Nov 2019 • Mason A. Porter
I briefly survey several fascinating topics in networks and nonlinearity.
Social and Information Networks Statistical Mechanics Dynamical Systems Adaptation and Self-Organizing Systems Physics and Society
no code implementations • 30 Jun 2020 • Heather Z. Brooks, Unchitta Kanjanasaratool, Yacoub H. Kureh, Mason A. Porter
The COVID-19 pandemic has led to significant changes in how people are currently living their lives.
no code implementations • 30 Jun 2020 • Harsh Gupta, Mason A. Porter
We also illustrate how to use the RC model to accurately study network formation using both synthetic and real-world networks.
no code implementations • 19 Nov 2020 • Teresa Rexin, Mason A. Porter
Perhaps we can test all of the different ways of traveling between two places, but another method is to use mathematics and computation to find a shortest path.
History and Overview Social and Information Networks Optimization and Control Adaptation and Self-Organizing Systems Physics and Society
2 code implementations • 13 Feb 2021 • Hanbaek Lyu, Yacoub H. Kureh, Joshua Vendrow, Mason A. Porter
It is common to use networks to encode the architecture of interactions between entities in complex systems in the physical, biological, social, and information sciences.
no code implementations • 3 Jul 2021 • Elisa C. Baek, Ryan Hyon, Karina López, Meng Du, Mason A. Porter, Carolyn Parkinson
Loneliness is detrimental to well-being and is often accompanied by self-reported feelings of not being understood by others.
1 code implementation • 21 Dec 2021 • Esteban Vargas Bernal, Mason A. Porter, Joseph H. Tien
InfoMap is a popular approach to detect densely connected "communities" of nodes in networks.
no code implementations • 18 Jan 2022 • Mason A. Porter
My focal audience is mathematicians, but I hope that this chapter will also be useful to others.
1 code implementation • 16 Sep 2022 • Zhiping Xiao, Jeffrey Zhu, Yining Wang, Pei Zhou, Wen Hong Lam, Mason A. Porter, Yizhou Sun
We examine a variety of applications and we thereby demonstrate the effectiveness of our PEM model.
no code implementations • 1 Dec 2022 • Zehan Chao, Denali Molitor, Deanna Needell, Mason A. Porter
We then infer a ``media-bias chart'' of (bias, quality) coordinates for the media outlets by integrating the (bias, quality) measurements of the tweets of the media outlets.
no code implementations • 26 Apr 2023 • Elisa C. Baek, Ryan Hyon, Karina López, Mason A. Porter, Carolyn Parkinson
Information sharing is a ubiquitous and consequential behavior that has been proposed to play a critical role in cultivating and maintaining a sense of shared reality.