A Graph-Based Impact Metric for Mitigating Lateral Movement Cyber Attacks. - Emilie Purvine; John R. Johnson; Chaomei Lo (SafeConfig@CCS, 2016)

Interval-Valued Rank in Finite Ordered Sets. - Cliff A. Joslyn; Alex Pogel; Emilie Purvine (Order, 2017)

Comparative study of clustering techniques for real-time dynamic model reduction. - Emilie Purvine; Eduardo Cotilla Sanchez; Mahantesh Halappanavar; Zhenyu Huang 001; Guang Lin 001; Shuai Lu; Shaobu Wang (Stat. Anal. Data Min., 2017)

Vietoris-Rips and Cech Complexes of Metric Gluings. - Michal Adamaszek; Henry Adams; Ellen Gasparovic; Maria Gommel; Emilie Purvine; Radmila Sazdanovic; Bei Wang 001; Yusu Wang 001; Lori Ziegelmeier (SoCG, 2018)

A Topological Approach to Representational Data Models. - Emilie Purvine; Sinan G. Aksoy; Cliff A. Joslyn; Kathleen Nowak; Brenda Praggastis; Michael Robinson 001 (HCI (4), 2018)

HyperThesis: Topological Hypothesis Management in a Hypergraph Knowledgebase. - Cliff A. Joslyn; Michael Robinson 001; J. Smart; Khushbu Agarwal; David Bridgeland; Adam Brown; Sutanay Choudhury; Brett A. Jefferson; Brenda Praggastis; Emilie Purvine; William P. Smith 001; Dimitri Zarzhitsky (TAC, 2018)

Relative Hausdorff distance for network analysis. - Sinan G. Aksoy; Kathleen E. Nowak; Emilie Purvine; Stephen J. Young (Appl. Netw. Sci., 2019)

A generative graph model for electrical infrastructure networks. - Sinan G. Aksoy; Emilie Purvine; Eduardo Cotilla Sanchez; Mahantesh Halappanavar (J. Complex Networks, 2019)

Local Versus Global Distances for Zigzag Persistence Modules. - Ellen Gasparovic; Maria Gommel; Emilie Purvine; Radmila Sazdanovic; Bei Wang 001; Yusu Wang 001; Lori Ziegelmeier (CoRR, 2019)

The relationship between the intrinsic Čech and persistence distortion distances for metric graphs. - Ellen Gasparovic; Maria Gommel; Emilie Purvine; Radmila Sazdanovic; Bei Wang 001; Yusu Wang 001; Lori Ziegelmeier (J. Comput. Geom., 2019)

Computing Hypergraph Homology in Chapel. - Jesun Sahariar Firoz; Louis Jenkins; Cliff A. Joslyn; Brenda Praggastis; Emilie Purvine; Mark Raugas (IPDPS Workshops, 2020)

Hypergraph Analytics of Domain Name System Relationships. - Cliff A. Joslyn; Sinan Aksoy; Dustin Arendt; Jesun Firoz; Louis Jenkins; Brenda Praggastis; Emilie Purvine; Marcin Zalewski (WAW, 2020)

Hypernetwork Science: From Multidimensional Networks to Computational Topology. - Cliff A. Joslyn; Sinan Aksoy; Tiffany J. Callahan; Lawrence E. Hunter; Brett A. Jefferson; Brenda Praggastis; Emilie A. H. Purvine; Ignacio J. Tripodi (CoRR, 2020)

Argumentative Topology: Finding Loop(holes) in Logic. - Sarah Tymochko; Zachary New; Lucius Bynum; Emilie Purvine; Timothy Doster; Julien Chaput; Tegan Emerson (CoRR, 2020)

Hypernetwork science via high-order hypergraph walks. - Sinan G. Aksoy; Cliff A. Joslyn; Carlos Ortiz Marrero; Brenda Praggastis; Emilie Purvine (EPJ Data Sci., 2020)

On homotopy types of Vietoris-Rips complexes of metric gluings. - Michal Adamaszek; Henry Adams; Ellen Gasparovic; Maria Gommel; Emilie Purvine; Radmila Sazdanovic; Bei Wang 001; Yusu Wang 001; Lori Ziegelmeier (J. Appl. Comput. Topol., 2020)

A Sheaf Theoretical Approach to Uncertainty Quantification of Heterogeneous Geolocation Information. - Cliff A. Joslyn; Lauren E. Charles; Chris DePerno; Nicholas Gould; Kathleen Nowak; Brenda Praggastis; Emilie Purvine; Michael Robinson 001; Jennifer Strules; Paul Whitney (Sensors, 2020)

Sheaves as a Framework for Understanding and Interpreting Model Fit. - Henry Kvinge; Brett A. Jefferson; Cliff A. Joslyn; Emilie Purvine (ICCVW, 2021)

Con Connections: Detecting Fraud from Abstracts using Topological Data Analysis. - Sarah Tymochko; Julien Chaput; Timothy Doster; Emilie Purvine; Jackson Warley; Tegan Emerson (ICMLA, 2021)

Hypergraph models of biological networks to identify genes critical to pathogenic viral response. - Song Feng; Emily Heath; Brett A. Jefferson; Cliff A. Joslyn; Henry Kvinge; Hugh D. Mitchell; Brenda Praggastis; Amie J. Eisfeld; Amy C. Sims; Larissa B. Thackray; Shufang Fan; Kevin B. Walters; et al. (BMC Bioinform., 2021)

Directional Laplacian Centrality for Cyber Situational Awareness. - Sinan G. Aksoy; Emilie Purvine; Stephen J. Young (DTRAP, 2021)

Proceedings of TDA: Applications of Topological Data Analysis to Data Science, Artificial Intelligence, and Machine Learning Workshop at SDM 2022. - R. W. R. Darling; John A. Emanuello; Emilie Purvine; Ahmad Ridley (CoRR, 2022)

The SVD of Convolutional Weights: A CNN Interpretability Framework. - Brenda Praggastis; Davis Brown; Carlos Ortiz Marrero; Emilie Purvine; Madelyn Shapiro; Bei Wang 001 (CoRR, 2022)

Experimental Observations of the Topology of Convolutional Neural Network Activations. - Emilie Purvine; Davis Brown; Brett A. Jefferson; Cliff A. Joslyn; Brenda Praggastis; Archit Rathore; Madelyn Shapiro; Bei Wang 001; Youjia Zhou (AAAI, 2023)

Malicious Cyber Activity Detection using Zigzag Persistence. - Audun Myers; Alyson Bittner; Sinan Aksoy; Daniel M. Best; Gregory Henselman-Petrusek; Helen Jenne; Cliff A. Joslyn; Bill Kay; Garret Seppala; Stephen J. Young; Emilie Purvine (DSC, 2023)

Topological Analysis of Temporal Hypergraphs. - Audun Myers; Cliff A. Joslyn; Bill Kay; Emilie Purvine; Gregory Roek; Madelyn Shapiro (WAW, 2023)

G-Mapper: Learning a Cover in the Mapper Construction. - Enrique Alvarado; Robin Belton; Emily Fischer; Kang-Ju Lee; Sourabh Palande; Sarah Percival; Emilie Purvine (CoRR, 2023)

Stepping out of Flatland: Discovering Behavior Patterns as Topological Structures in Cyber Hypergraphs. - Helen Jenne; Sinan G. Aksoy; Daniel M. Best; Alyson Bittner; Gregory Henselman-Petrusek; Cliff A. Joslyn; Bill Kay; Audun Myers; Garret Seppala; Jackson Warley; Stephen J. Young; Emilie Purvine (CoRR, 2023)

Hypergraph Topological Features for Autoencoder-Based Intrusion Detection for Cybersecurity Data. - Bill Kay; Sinan G. Aksoy; Molly Baird; Daniel M. Best; Helen Jenne; Cliff A. Joslyn; Christopher Potvin; Gregory Henselman-Petrusek; Garret Seppala; Stephen J. Young; Emilie Purvine (CoRR, 2023)

Topological Simplifications of Hypergraphs. - Youjia Zhou; Archit Rathore; Emilie Purvine; Bei Wang 001 (IEEE Trans. Vis. Comput. Graph., 2023)

Any Graph is a Mapper Graph. - Enrique G. Alvarado; Robin Belton; Kang-Ju Lee; Sourabh Palande; Sarah Percival; Emilie Purvine; Sarah Tymochko (CoRR, 2024)

HyperNetX: A Python package for modeling complex network data as hypergraphs. - Brenda Praggastis; Sinan Aksoy; Dustin Arendt; Mark Bonicillo; Cliff A. Joslyn; Emilie Purvine; Madelyn Shapiro; Ji Young Yun (J. Open Source Softw., 2024)