Full Bibliography
This list is the same data as the bibliography table, exported from Zotero and rendered in an APA-flavored style.
Journal articles
- Morris, L., Baas, A., Arias, J., Gatlin, M., Patterson, E., & Fairbanks, J. P. (2024). Decapodes: A diagrammatic tool for representing, composing, and computing spatialized partial differential equations. Journal of Computational Science, 81, 102345. https://doi.org/10.1016/j.jocs.2024.102345
- Aduddell, R., Fairbanks, J., Kumar, A., Ocal, P. S., Patterson, E., & Shapiro, B. T. (2024). A compositional account of motifs, mechanisms, and dynamics in biochemical regulatory networks. Compositionality, 6, 2. https://doi.org/10.32408/compositionality-6-2
- Brown, K., Patterson, E., Hanks, T., & Fairbanks, J. (2023). Computational category-theoretic rewriting. Journal of Logical and Algebraic Methods in Programming, 134, 100888. https://doi.org/10.1016/j.jlamp.2023.100888
- Garrett, R. K., Fairbanks, J. P., Loper, M. L., & Moreland, J. D. (2023). The application of applied category theory to quantify mission success. Simulation, 99(2), 201–220. https://doi.org/10.1177/00375497221114861
- Patterson, E., Baas, A., Hosgood, T., & Fairbanks, J. (2023). A diagrammatic view of differential equations in physics. Mathematics in Engineering, 5(2), 1–59. https://doi.org/10.3934/mine.2023036
- Patterson, E., Lynch, O., & Fairbanks, J. (2022). Categorical Data Structures for Technical Computing. Compositionality, Volume 4 (2022). https://doi.org/10.32408/compositionality-4-5
- Libkind, S., Baas, A., Halter, M., Patterson, E., & Fairbanks, J. P. (2022). An algebraic framework for structured epidemic modelling. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 380(2233), 20210309. https://doi.org/10.1098/rsta.2021.0309
- Mordecai, Y., Fairbanks, J. P., & Crawley, E. F. (2021). Category-theoretic formulation of the model-based systems architecting cognitive-computational cycle. Applied Sciences, 11(4), 1945.
- Briscoe, E., & Fairbanks, J. (2020). Artificial scientific intelligence and its impact on national security and foreign policy. Orbis, 64(4), 544–554.
- Fairbanks, J. P., Bader, D. A., & Sanders, G. D. (2017). Spectral partitioning with blends of eigenvectors. Journal of Complex Networks, 5(4), 551–580.
- Fairbanks, J. P., Kannan, R., Park, H., & Bader, D. A. (2015). Behavioral clusters in dynamic graphs. Parallel Computing, 47, 38–50.
- Fairbanks, J. (2011). A Ramsey theorem for indecomposable matchings. arXiv:1110.3314.
Conference proceedings
- Hanks, T., Nino, C., Barcelo, J. B., Copeland, A., Dixon, W., & Fairbanks, J. (2026). Heterogeneous Multi-Agent Multi-Target Tracking using Cellular Sheaves. In European Control Conference. IEEE. (to appear).
- Zhao, Y., Hanks, T., Riess, H., Cohen, S., Hale, M., & Fairbanks, J. (2026). Asynchronous Nonlinear Sheaf Diffusion for Multi-Agent Coordination. In IEEE American Control Conference. IEEE. (accepted).
- Currier, K., Leal, W., Rauta, G., Copeland, A., Dixon, W., & Fairbanks, J. (2026). Whitney Control Barrier Functions: A Mesh-based Geometric approach via Discrete Exterior Calculus. In IFAC. (in press).
- Hanks, T., Riess, H., Cohen, S., Gross, T., Hale, M., & Fairbanks, J. (2025). Distributed Multi-agent Coordination over Cellular Sheaves. In IEEE Conference on Decision and Control. IEEE. https://doi.org/10.48550/arXiv.2504.02049
Coordination of a multi-agent system can be posed as a cellular sheaf over the communication graph, making the coordinated state the harmonic extension of the sheaf Laplacian rather than the output of a purpose-built controller: the coordinated state solves $H q^\star = -B p$, where $H$ is the agent block of the Laplacian and $p$ the current targets. It is the problem statement the rest of our coordination work refines: every later paper either solves that linear system faster or relaxes an assumption it makes.
Read it for The sheaf construction and the Laplacian. The experiments can wait.
- Lary, M., Samuelson, R., Wilentz, A., Zare, A., Klawonn, M., & Fairbanks, J. (2025). Learning diagrams: a graphical language for compositional training regimes. In The thirteenth international conference on learning representations. https://openreview.net/forum?id=dqyuCsBvn9
- Hanks, T., She, B., Hale, M., Patterson, E., Klawonn, M., & Fairbanks, J. (2024). Modeling Model Predictive Control: A Category Theoretic Framework for Multistage Control Problems. In 2024 American Control Conference (ACC) (pp. 4850-4857). IEEE. https://doi.org/10.23919/ACC60939.2024.10644848
- Bumpus, B. M., Fairbanks, J., Genovese, F., Puca, C., & Rosiak, D. (2024). How nice is this functor? Two squares and some homology go a long way. Proceedings of Applied Category Theory, 2024.
- Lynch, O., Brown, K., Fairbanks, J., & Patterson, E. (2024). GATlab: Modeling and Programming with Generalized Algebraic Theories. In Electronic Notes in Theoretical Informatics and Computer Science. Episciences. org. https://oxford24.github.io/assets/mfps-papers/MFPS24-11.pdf
- She, B., Hanks, T., Fairbanks, J., & Hale, M. (2023). Characterizing Compositionality of LQR from the Categorical Perspective. In 2023 62nd IEEE Conference on Decision and Control (CDC) (pp. 1680-1685). https://doi.org/10.1109/CDC49753.2023.10383467
- Aguinaldo, A., Patterson, E., Fairbanks, J., Regli, W., & Ruiz, J. (2023). A Categorical Representation Language and Computational System for Knowledge-Based Robotic Task Planning [Best Paper Award]. In Proceedings of the AAAI Symposium Series (pp. 491-497). https://doi.org/10.1609/aaaiss.v2i1.27718
- Libkind, S., Baas, A., Patterson, E., & Fairbanks, J. (2022). Operadic Modeling of Dynamical Systems: Mathematics and Computation. Electronic Proceedings in Theoretical Computer Science, 372, 192-206. https://doi.org/10.4204/EPTCS.372.14
- Brown, K., Patterson, E., Hanks, T., & Fairbanks, J. (2022). Computational Category-Theoretic Rewriting [Best Paper]. In Graph Transformation: 15th International Conference, ICGT 2022, Held as Part of STAF 2022, Nantes, France, July 7–8, 2022, Proceedings (pp. 155–172). Springer-Verlag. https://doi.org/10.1007/978-3-031-09843-7_9
- Brown, K., Hanks, T., & Fairbanks, J. (2022). Compositional Exploration of Combinatorial Scientific Models. In Applied Category Theory. https://doi.org/10.48550/ARXIV.2206.08755
- Halter, M., Herlihy, C., & Fairbanks, J. (2020). A Compositional Framework for Scientific Model Augmentation. In Electronic Proceedings in Theoretical Computer Science (pp. 172-182). Opn Publishing Association. https://doi.org/10.4204/EPTCS.323.12
- Fairbanks, J. P., Fitch, N., Bradfield, F., & Briscoe, E. (2020). Credibility Development with Knowledge Graphs. In Lecture Notes in Computer Science (pp. 33-47). Springer International Publishing. https://doi.org/10.1007/978-3-030-39627-5_4
- Cao, K., & Fairbanks, J. (2019). Unsupervised Construction of Knowledge Graphs From Text and Code. In SIGKDD Conference on Knowledge Discovery and Data Mining International Workshop on Mining and Learning with Graphs. ACM.
- Nadolski, M., & Fairbanks, J. (2019). Complex systems analysis of hybrid warfare. Procedia Computer Science, 153, 210-217. https://doi.org/10.1016/j.procs.2019.05.072
- Campbell, N., Goodyear, T., Messer, W., Stuart, E., & Fairbanks, J. (2018). Digital Witness: Remote Method for Volunteering Digital Evidence on Mobile Devices. In 2018 IEEE International Symposium on Technologies for Homeland Security (HST) (pp. 1-5). IEEE. https://doi.org/10.1109/THS.2018.8574119
- Thankachan, R. V., Swenson, B. P., & Fairbanks, J. P. (2018). Performance Effects of Dynamic Graph Data Structures in Community Detection Algorithms. In 2018 IEEE High Performance extreme Computing Conference (HPEC) (pp. 1-7). IEEE. https://doi.org/10.1109/HPEC.2018.8547528
- Fairbanks, J. P., Fitch, N., Knauf, N., & Briscoe, E. (2018). Credibility Assessment in the News: Do We Need to Read? In WSDM/MIS2 (pp. 8). ACM. https://dl.acm.org/doi/10.1145/3159652.3160597
- Nathan, E., Fairbanks, J., & Bader, D. (2018). Ranking in Dynamic Graphs Using Exponential Centrality. In Complex Networks & Their Applications VI (pp. 378-389). Springer International Publishing. https://doi.org/10.1007/978-3-319-72150-7_31
- Thankachan, R. V., Hein, E. R., Swenson, B. P., & Fairbanks, J. P. (2017). Integrating productivity-oriented programming languages with high-performance data structures. In 2017 IEEE High Performance Extreme Computing Conference (HPEC) (pp. 1-8). IEEE. https://doi.org/10.1109/HPEC.2017.8091068
- Ediger, D., & Fairbanks, J. P. (2017). Deriving Streaming Graph Algorithms from Static Definitions. In 2017 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW) (pp. 637-642). IEEE. https://doi.org/10.1109/IPDPSW.2017.146
- Nathan, E., Sanders, G., Fairbanks, J., Henson, V. E., & Bader, D. A. (2017). Graph Ranking Guarantees for Numerical Approximations to Katz Centrality. Procedia Computer Science, 108, 68-78. https://doi.org/10.1016/j.procs.2017.05.021
- Fairbanks, J. P., Zakrzewska, A., & Bader, D. A. (2016). New stopping criteria for spectral partitioning. In 2016 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM) (pp. 25-32). IEEE. https://doi.org/10.1109/ASONAM.2016.7752209
- Zakrzewska, A., Nathan, E., Fairbanks, J., & Bader, D. A. (2016). A local measure of community change in dynamic graphs. In 2016 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM) (pp. 349-353). IEEE. https://doi.org/10.1109/ASONAM.2016.7752257
- Fairbanks, J., Ediger, D., McColl, R., Bader, D. A., & Gilbert, E. (2013). A statistical framework for streaming graph analysis. In 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM 2013) (pp. 341-347). https://doi.org/10.1145/2492517.2492620
Posters
- Perez, J., Baas, A., Ferrall-Fairbanks, M. C., Platt, M. O., & Fairbanks, J. P. (2021). Parameter estimation by minimizing the loss with respect to a finite difference approximation on the vector field. Biomedical Engineering Society Annial Meeting, Orlando, FL.
- Lynch, O., Fairbanks, J. P., & Evan, P. (2021). Graphical semantic modeling with semagrams.jl. Applied Category Theory, Cambridge, UK.
- Fairbanks, J. P. (2019). Semantic model understanding for scientific model augmentation. Systems Biology of Human Disease,, Berlin, DE.
- Fairbanks, J. P. (2017). QueryGarden: growing healthy applications in well prepared SQL. OHDSI Symposium, New York, NY.
- Brown, C. S., Duke, J., Fairbanks, J. P., Herlihy, C., Mukadam, K., Poovey, J., & Rost, M. (2017). Implementing real-time patient level predictions using PLP models. OHDSI Symposium.
- Fairbanks, J. P. (2015). Discovering block structure with approximate eigenvectors. SIAM Computational Science and Engineering.
- Fairbanks, J., & Sanders, G. (2015). Discovering block structure in graphs with approximate eigenvectors [Poster]. SIAM Computational Science and Engineering, Salt Lake City, UT. https://jpfairbanks.com/doc/siam-cse-2015.pdf
- Fairbanks, J. P. (2012). Ramsey theorem for indecomposable matchings. Graph Theory at Georgia Tech (GT@GT), Atlanta, GA.
Preprints
- Bumpus, B. M., Fairbanks, J., & Turner, W. J. (2024). Pushing Tree Decompositions Forward Along Graph Homomorphisms. arXiv. https://doi.org/10.48550/arXiv.2408.15184
- Hanks, T., Klawonn, M., Patterson, E., Hale, M., & Fairbanks, J. (2024). A Compositional Framework for First-Order Optimization. arXiv. https://doi.org/10.48550/arXiv.2403.05711
- Arlin, K., Fairbanks, J., Hosgood, T., & Patterson, E. (2024). The diagrammatic presentation of equations in categories. arXiv:2401.09751.
- Bumpus, B. M., Capucci, M., Fairbanks, J., & Rosiak, D. (2024). Failures of compositionality: a short note on cohomology, sheafification and lavish presheaves. arXiv:2407.03488.
- Althaus, E., Bumpus, B. M., Fairbanks, J., & Rosiak, D. (2023). Compositional Algorithms on Compositional Data: Deciding Sheaves on Presheaves. arXiv. https://doi.org/10.48550/arXiv.2302.05575
Talks, extremely comprehensive list
Talks now have their own page. This heading is kept so that old links still resolve.