Publications of Paul L Bendich

Papers Published

  1. Solomon, YE; Bendich, P, Convolutional persistence transforms, Journal of Applied and Computational Topology (January, 2024)
  2. Koplik, G; Borggren, N; Voisin, S; Angeloro, G; Hineman, J; Johnson, T; Bendich, P, Topological Simplification of Signals for Inference and Approximate Reconstruction, IEEE Aerospace Conference Proceedings, vol. 2023-March (January, 2023), ISBN 9781665490320
  3. Solomon, E; Wagner, A; Bendich, P, FROM GEOMETRY TO TOPOLOGY: INVERSE THEOREMS FOR DISTRIBUTED PERSISTENCE, Journal of Computational Geometry, vol. 14 no. 2 Special Issue (January, 2023), pp. 172-196
  4. Voisin, S; Hineman, J; Polly, JB; Koplik, G; Ball, K; Bendich, P; D‘Addezio, J; Jacobs, GA; Özgökmen, T, Topological Feature Tracking for Submesoscale Eddies, Geophysical Research Letters, vol. 49 no. 20 (October, 2022)
  5. Solomon, E; Wagner, A; Bendich, P, From Geometry to Topology: Inverse Theorems for Distributed Persistence, Leibniz International Proceedings in Informatics, LIPIcs, vol. 224 (June, 2022), ISBN 9783959772273
  6. Smith, AD; Bendich, P; Harer, J, PERSISTENT OBSTRUCTION THEORY FOR A MODEL CATEGORY OF MEASURES WITH APPLICATIONS TO DATA MERGING, Transactions of the American Mathematical Society Series B, vol. 8 no. 1 (February, 2021), pp. 1-38, American Mathematical Society (AMS)
  7. Solomon, E; Wagner, A; Bendich, P, A Fast and Robust Method for Global Topological Functional Optimization, Proceedings of Machine Learning Research, vol. 130 (January, 2021), pp. 109-117
  8. Solomon, E; Wagner, A; Bendich, P, A Fast and Robust Method for Global Topological Functional Optimization, 24TH INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS (AISTATS), vol. 130 (2021), pp. 109-+
  9. Solomon, E; Bendich, P, Geometric fusion via joint delay embeddings, Proceedings of 2020 23rd International Conference on Information Fusion, FUSION 2020 (July, 2020)
  10. Yao, L; Bendich, P, Graph Spectral Embedding for Parsimonious Transmission of Multivariate Time Series, IEEE Aerospace Conference Proceedings (March, 2020), ISBN 9781728127347
  11. Blasch, E; Grewe, LL; Waltz, EL; Bendich, P; Pavlovic, V; Kadar, I; Chong, CY, Machine learning in/with information fusion for infrastructure understanding, panel summary, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11423 (January, 2020), ISBN 9781510636231
  12. Bendich, P; Bubenik, P; Wagner, A, Stabilizing the unstable output of persistent homology computations, Journal of Applied and Computational Topology (November, 2019), pp. 1-30, Springer
  13. Tralie, CJ; Bendich, P; Harer, J, Multi-Scale Geometric Summaries for Similarity-Based Sensor Fusion, IEEE Aerospace Conference Proceedings, vol. 2019-March (March, 2019), ISBN 9781538668542
  14. Bendich, P, Topology, geometry, and machine-learning for tracking and sensor fusion, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11017 (January, 2019), pp. lxxxiii-cii, ISBN 9781510627017
  15. Garagić, D; Peskoe, J; Liu, F; Claffey, MS; Bendich, P; Hineman, J; Borggren, N; Harer, J; Zulch, P; Rhodes, BJ, Upstream fusion of multiple sensing modalities using machine learning and topological analysis: An initial exploration, IEEE Aerospace Conference Proceedings, vol. 2018-March (June, 2018), pp. 1-8, IEEE, ISBN 9781538620144
  16. Tralie, CJ; Smith, A; Borggren, N; Hineman, J; Bendich, P; Zulch, P; Harer, J, Geometric Cross-Modal Comparison of Heterogeneous Sensor Data, Proceedings of the 39th IEEE Aerospace Conference, vol. 2018-March (March, 2018), pp. 1-10, IEEE, ISBN 9781538620144
  17. Bendich, P; Gasparovic, E; Harer, J; Tralie, CJ, Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology, vol. 13 (January, 2018), pp. 93-114
  18. Bendich, P; Chin, SP; Clark, J; DeSena, J; Harer, J; Munch, E; Newman, A; Porter, D; Rouse, D; Strawn, N; Watkins, A, Topological and statistical behavior classifiers for tracking applications, IEEE Transactions on Aerospace and Electronic Systems, vol. 52 no. 6 (December, 2016), pp. 2644-2661, Institute of Electrical and Electronics Engineers (IEEE)
  19. Bendich, P; Gasparovic, E; Harer, J; Tralie, C, Geometric Models for Musical Audio Data, Proceedings of the 32st International Symposium on Computational Geometry (SOCG) (June, 2016)
  20. Bendich, P; Gasparovic, E; Harer, J; Tralie, C, Geometric models for musical audio data, Leibniz International Proceedings in Informatics, LIPIcs, vol. 51 (June, 2016), pp. 65.1-65.5, ISBN 9783959770095
  21. Bendich, P; Marron, JS; Miller, E; Pieloch, A; Skwerer, S, Persistent homology analysis of brain artery trees, Annals of Applied Statistics, vol. 10 no. 1 (2016), pp. 198-218, ISSN 1932-6157 (to appear.)
  22. Tralie, CJ; Bendich, P, Cover Song Identification with Timbral Shape Sequences, 16th International Society for Music Information Retrieval (ISMIR) (October, 2015), pp. 38-44
  23. Bendich, P; Gasparovic, E; Harer, J; Izmailov, R; Ness, L, Multi-scale local shape analysis and feature selection in machine learning applications, Proceedings of the International Joint Conference on Neural Networks, vol. 2015-September (September, 2015), pp. 1-8, IEEE, ISBN 9781479919604
  24. Munch, E; Turner, K; Bendich, P; Mukherjee, S; Mattingly, J; Harer, J, Probabilistic Fréchet means for time varying persistence diagrams, Electronic Journal of Statistics, vol. 9 no. 1 (January, 2015), pp. 1173-1204, Institute of Mathematical Statistics
  25. Rouse, D; Watkins, A; Porter, D; Harer, J; Bendich, P; Strawn, N; Munch, E; Desena, J; Clarke, J; Gilbert, J; Chin, S; Newman, A, Feature-aided multiple hypothesis tracking using topological and statistical behavior classifiers, Proceedings of SPIE - The International Society for Optical Engineering, vol. 9474 (January, 2015), SPIE, ISBN 9781628415902
  26. Liz Munch, Paul Bendich, Kate Turner, Sayan Mukherjee, Jonathan Mattingly, and John Harer, Probabalistic Frechet Means and Statistics on Vineyards, Electronic Journal of Statistics, vol. 9 (2015), pp. 1173-1204
  27. Christopher J Tralie and Paul Bendich, Cover Song Identification with Timbral Shape, Proceedings of the 16th International Society for Music Information Retrieval (2015), pp. 38-44
  28. Bendich, P; Edelsbrunner, H; Morozov, D; Patel, A, Homology and robustness of level and interlevel sets, Homology, Homotopy and Applications, vol. 15 no. 1 (April, 2013), pp. 51-72, International Press of Boston
  29. Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel, Homology and Robustness of Level and Interlevel Sets, edited by Gunnar Carlsson, Homology, Homotopy, and Applications, vol. 15 no. 1 (March, 2013), pp. 51-72
  30. with Bendich, P; Cabello, S; Edelsbrunner, H, A point calculus for interlevel set homology, Pattern Recognition Letters, vol. 33 no. 11 (August, 2012), pp. 1436-1444, Elsevier BV, ISSN 0167-8655
  31. with Bendich, P; Wang, B; Mukherjee, S, Local homology transfer and stratification learning, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (January, 2012), pp. 1355-1370, ISBN 9781611972108
  32. with Bendich, P; Galkovskyi, T; Harer, J, Improving homology estimates with random walks, Inverse Problems, vol. 27 no. 12 (December, 2011), pp. 124002-124002, IOP Publishing, ISSN 0266-5611
  33. with Bendich, P; Harer, J, Persistent Intersection Homology, Foundations of Computational Mathematics, vol. 11 no. 3 (June, 2011), pp. 305-336, Springer Nature, ISSN 1615-3375
  34. with Bendich, P; Edelsbrunner, H; Kerber, M; Patel, A, Persistent homology under non-uniform error, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6281 LNCS (November, 2010), pp. 12-23, Springer Berlin Heidelberg, ISSN 0302-9743, ISBN 9783642151545
  35. with Bendich, P; Edelsbrunner, H; Morozov, D; Patel, A, The robustness of level sets, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6346 LNCS no. PART 1 (November, 2010), pp. 1-10, Springer Berlin Heidelberg, ISSN 0302-9743
  36. with Bendich, P; Edelsbrunner, H; Kerber, M, Computing robustness and persistence for images., IEEE transactions on visualization and computer graphics, vol. 16 no. 6 (November, 2010), pp. 1251-1260, ISSN 1077-2626
  37. Bendich, P; Mukherjee, S; Wang, B, Towards Stratification Learning through Homology Inference (August, 2010)
  38. Bendich, P; Mukherjee, S; Wang, B, Stratification learning through homology inference, vol. FS-10-06 (January, 2010), pp. 10-17, ISBN 9781577354888
  39. with David Cohen-Steiner, Herbert Edelsbrunner, John Harer, and Dmitriy Morozov, Inferring Local Homology from Sampled Stratified Spaces, In Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science, pages 536-546, 2007. (2007)

Papers Submitted

  1. Paul Bendich, Ellen Gasparovic, John Harer, and Christopher J. Tralie, Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology (2016)
  2. Paul Bendich and Peter Bubenik, Stabilizing the output of persistent homology computations, Proc. 2016 Symposium on Computational Geometry (2015)