Search Results for author: Mason A. Porter

Found 26 papers, 12 papers with code

Communities in Networks

1 code implementation22 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

Think Locally, Act Locally: The Detection of Small, Medium-Sized, and Large Communities in Large Networks

1 code implementation15 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

A roadmap for the computation of persistent homology

1 code implementation30 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

A Local Perspective on Community Structure in Multilayer Networks

no code implementations18 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

Counterparty Credit Limits: The Impact of a Risk-Mitigation Measure on Everyday Trading

no code implementations24 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.

Tie-decay networks in continuous time and eigenvector-based centralities

1 code implementation1 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

Effect of antipsychotics on community structure in functional brain networks

no code implementations31 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.

Stochastic Block Models are a Discrete Surface Tension

1 code implementation7 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.

Clustering Video Semantic Segmentation

Topological Data Analysis of Task-Based fMRI Data from Experiments on Schizophrenia

no code implementations22 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.

Clustering Community Detection +2

Forecasting elections using compartmental models of infection

1 code implementation5 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

Multivariate Spatiotemporal Hawkes Processes and Network Reconstruction

no code implementations15 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.

Pull out all the stops: Textual analysis via punctuation sequences

1 code implementation31 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?

Tunable Eigenvector-Based Centralities for Multiplex and Temporal Networks

2 code implementations3 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

Inference of Edge Correlations in Multilayer Networks

no code implementations11 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.

Role Detection in Bicycle-Sharing Networks Using Multilayer Stochastic Block Models

2 code implementations26 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

Nonlinearity + Networks: A 2020 Vision

no code implementations9 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

Disease Detectives: Using Mathematics to Forecast the Spread of Infectious Diseases

no code implementations30 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.

Mixed Logit Models and Network Formation

no code implementations30 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.

Discrete Choice Models Sociology

Finding Your Way: Shortest Paths on Networks

no code implementations19 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

Learning low-rank latent mesoscale structures in networks

2 code implementations13 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.

Denoising Dictionary Learning

Lonely individuals process the world in idiosyncratic ways

no code implementations3 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.

An adaptation of InfoMap to absorbing random walks using absorption-scaled graphs

1 code implementation21 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.

A Non-Expert's Introduction to Data Ethics for Mathematicians

no code implementations18 Jan 2022 Mason A. Porter

My focal audience is mathematicians, but I hope that this chapter will also be useful to others.

Ethics

Inference of Media Bias and Content Quality Using Natural-Language Processing

no code implementations1 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.

Perceived community alignment increases information sharing

no code implementations26 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.

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