Publications of Paul L Bendich    :recent first  alphabetical  combined  bibtex listing:

Papers Published

1. 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)
2. Bendich, P; Mukherjee, S; Wang, B, Stratification learning through homology inference, vol. FS-10-06 (January, 2010), pp. 10-17, ISBN 9781577354888  [abs]
3. Bendich, P; Mukherjee, S; Wang, B, Towards Stratification Learning through Homology Inference (August, 2010) [1008.3572v1]  [abs]
4. 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 [doi]  [abs]
5. 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 [doi]  [abs]
6. 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 [doi]  [abs]
7. 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 [doi]  [abs]
8. 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 [doi]  [abs]
9. 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 [doi]  [abs]
10. 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 [doi]  [abs]
11. 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  [abs]
12. 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 [1102.3389v1], [doi]  [abs]
13. 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 [1507.05143]  [abs]
14. 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 [6530]  [abs] [author's comments]
15. 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 [1307.6530v3], [doi]  [abs]
16. 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 [doi]  [abs]
17. 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 [arXiv:1410.3169], [repository], [doi]  [abs]
18. Tralie, CJ; Bendich, P, Cover Song Identification with Timbral Shape Sequences, 16th International Society for Music Information Retrieval (ISMIR) (October, 2015), pp. 38-44 [1507.05143v1]  [abs]
19. 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.) [repository], [doi]  [abs]
20. 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)
21. 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 [doi]  [abs]
22. 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) [doi]  [abs]
23. 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 [doi]  [abs]
24. 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 [doi]  [abs]
25. 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 [doi]  [abs]
26. 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
27. 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 [doi]  [abs]
28. 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  [abs]
29. 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 [doi]  [abs]
30. Yao, L; Bendich, P, Graph Spectral Embedding for Parsimonious Transmission of Multivariate Time Series, IEEE Aerospace Conference Proceedings (March, 2020), ISBN 9781728127347 [doi]  [abs]
31. Solomon, E; Bendich, P, Geometric fusion via joint delay embeddings, Proceedings of 2020 23rd International Conference on Information Fusion, FUSION 2020 (July, 2020) [doi]  [abs]
32. 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-+  [abs]
33. 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  [abs]
34. 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) [doi]  [abs]
35. 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 [doi]  [abs]
36. 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) [doi]  [abs]
37. 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 [doi]  [abs]
38. 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 [doi]  [abs]
39. Solomon, YE; Bendich, P, Convolutional persistence transforms, Journal of Applied and Computational Topology (January, 2024) [doi]  [abs]

Papers Submitted

1. Paul Bendich and Peter Bubenik, Stabilizing the output of persistent homology computations, Proc. 2016 Symposium on Computational Geometry (2015) [1512.01700]
2. 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) [1602.06245]