28. M. Piekenbrock and J. A. Perea, Move Schedules: Fast persistence computations in sparse dynamic settings, Journal of Applied and Computational Topology, 2024.
27. A. Lee, H. Lee, J. A. Perea, N. Schonsheck, M. Weinstein, O(k)-Equivariant Dimensionality Reduction on Stiefel Manifolds, Preprint arXiv:2309.10775, 2023.
26. J. A. Perea, L. Scoccola, and C. J. Tralie, DREiMac: Dimensionality Reduction with Eilenberg-MacLane Coordinates, The Journal of Open Source Software, 2023.
25. H. Gakhar and J. A. Perea, Sliding Window Persistence of Quasiperiodic Functions, Journal of Applied and Computational Topology, 2023.
24. S. Manjunath, J. A. Perea and A. Sathyanarayana, Topological Data Analysis of Electroencephalogram Signals for Pediatric Obstructive Sleep Apnea, IEEE EMBC’23, 2023.
23. L. Scoccola and J. A. Perea, Approximate and Discrete Euclidean Vector Bundles, Forum of Mathematics, Sigma, 2023.
22. L. Scoccola, H. Gakhar, J. Bush, N. Schonsheck, T. Rask, L. Zhou, and J. A. Perea, Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction, SoCG’23, 2023.
21. L. Scoccola and J. A. Perea, FibeRed: Fiberwise Dimensionality Reduction of Topologically Complex Data with Vector Bundles, SoCG’23, 2023.
20. A. Elchesen, I. Hartsock, J. A. Perea, and T. Rask, Learning on Persistence Diagrams as Radon Measures, Preprint arXiv:2212.08295, 2022
19. J. A. Perea, E. Munch and F. A. Khasawneh, Approximating Continuous Functions on Persistence Diagrams Using Template Functions, Foundations of Computational Mathematics, 2022.
18. D. Barnes, L. Polanco and J. A. Perea, A Comparative Study of Machine Learning Methods for Persistence Diagrams, Frontiers in Artificial Intelligence-Machine Learning and Artificial Intelligence, 2021.
17. J. A. Perea, Sparse Circular Coordinates via Principal Z-bundles, The Abel Symposium (Book Series): Topological Data Analysis, vol. 15, no.1, pp. 435-458, 2020.
16. J. A. Perea, Book Review: Elementary Applied Topology, by Robert W. Ghrist, Create Space 2014, and Persistence Theory: From Quiver Representations to Data Analysis, by Steve Oudot, Mathematical Surveys and Monographs, Vol. 209, American Mathematical Society, 2015. Bulletin (New Series) of the American Mathematical Society, vol. 57, no. 1, pp. 153–159, 2020.
15. H. Gakhar and J. A. Perea, Kunneth Formuale in Persistent Homology, Preprint, arXiv:1910.05656, 2019.
14. J. L. Mike and J. A. Perea, Geometric Data Analysis Across Scales via Laplacian Eigenvector Cascading, Proceedings of the 18th IEEE ICMLA, pp. 1091-1098, 2019.
13. L. Polanco and J. A. Perea, Adaptive template systems: Data-driven Feature Selection for Learning with Persistence Diagrams, Proceedings of the 18th IEEE ICMLA, pp. 1115-1121, 2019.
12. L. Polanco and J. A. Perea, Coordinatizing Data With Lens Spaces and Persistent Cohomology, Proceedings of the 31 st Canadian Conference on Computational Geometry (CCCG), pp. 49-57, 2019.
11. J. A. Perea, Topological Time Series Analysis, Notices of the American Mathematical Society, vol. 66, no. 5, pp. 686-694, May 2019.
10. B. Xu, C. J. Tralie, A. Antia, M. Lin and J. A. Perea, Twisty Takens: A Geometric Characterization of Good Observations on Dense Trajectories, Journal of Applied and Computational Topology, 2019.
9. J. A. Perea, A Brief History of Persistence, Morfismos, vol. 23, no. 1, pp. 1-16, 2019.
8. F. A. Khasawneh, E. Munch and J. A. Perea, Chatter Classification in Turning Using Machine Learning and Topological Data Analysis, In 14th IFAC Workshop on Time Delay Systems TDS 2018, vol. 51, pp. 195–200. International Federation of Automatic Control, 2018.
7. C. J. Traliey and J. A. Perea, (Quasi)Periodicity Quantification in Video Data, Using Topology, SIAM Journal on Imaging Sciences, vol. 11, no. 2, pp. 1049–1077, 2018.
6. J. A. Perea, Multiscale Projective Coordinates via Persistent Cohomology of Sparse Filtrations, Discrete & Computational Geometry, vol. 59, no. 1, pp. 175-255, 2018.
5. J. A. Perea and Chris Traile, Sliding windows and persistence, The Journal of the Acoustical Society of America, vol. 141, no. 5, pp. 3585-3585, 2017.
4. J. A. Perea, Persistent Homology of Toroidal Sliding Window Embeddings, In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 6435-6439, 2016.
3. J. A. Perea, A. Deckard, S. Haase, and J. Harer, SW1PerS: Sliding Windows and 1-Persistence Scoring; Discovering Periodicity in Gene Expression Time Series Data, BMC Bioinformatics, vol. 16, no. 1, p. 257, 2015.
2. J. A. Perea and J. Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis, Foundations of Computational Mathematics, vol. 15 no. 3, pp. 799-838, 2015.
1. J. A. Perea and G. Carlsson, A Klein-Bottle-Based Dictionary for Texture Representation, International Journal of Computer Vision, vol. 107 no. 1, pp. 75-97, 2014.