Publications of Paul L Bendich

Papers Published

  1. 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 (March, 2018)
  2. 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)
  3. Bendich, P; Gasparovic, E; Harer, J; Tralie, C, Geometric models for musical audio data, LIPIcs, vol. 51 (June, 2016), pp. 65.1-65.5, ISBN 9783959770095
  4. Tralie, CJ; Bendich, P, Cover Song Identification with Timbral Shape Sequences, 16th International Society for Music Information Retrieval (ISMIR) (October, 2015), pp. 38-44
  5. 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
  6. Munch, E; Turner, K; Bendich, P; Mukherjee, S; Mattingly, J; Harer, J, Probabilistic Fr├ęchet Means for Time Varying Persistence Diagrams, vol. 9 no. 1 (January, 2015), pp. 1173-1204
  7. 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), ISBN 9781628415902
  8. 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
  9. 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
  10. 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
  11. 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, ISSN 0167-8655
  12. with Bendich, P; Wang, B; Mukherjee, S, Local homology transfer and stratification learning, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (2012), pp. 1355-1370
  13. Bendich, P; Edelsbrunner, H; Morozov, D; Patel, A, Homology and Robustness of Level and Interlevel Sets (February, 2011)
  14. with Bendich, P; Galkovskyi, T; Harer, J, Improving homology estimates with random walks, Inverse Problems, vol. 27 no. 12 (2011), ISSN 0266-5611
  15. with Bendich, P; Harer, J, Persistent Intersection Homology, Foundations of Computational Mathematics, vol. 11 no. 3 (2011), pp. 305-336, ISSN 1615-3375
  16. Bendich, P; Mukherjee, S; Wang, B, Stratification learning through homology inference, AAAI Fall Symposium - Technical Report, vol. FS-10-06 (December, 2010), pp. 10-17
  17. with Bendich, P; Edelsbrunner, H; Kerber, M; Patel, A, Persistent homology under non-uniform error, Lecture notes in computer science, vol. 6281 LNCS (2010), pp. 12-23, ISSN 0302-9743
  18. with Bendich, P; Edelsbrunner, H; Morozov, D; Patel, A, The robustness of level sets, Lecture notes in computer science, vol. 6346 LNCS no. PART 1 (2010), pp. 1-10, ISSN 0302-9743
  19. with Bendich, P; Edelsbrunner, H; Kerber, M, Computing robustness and persistence for images., IEEE Transactions on Visualization and Computer Graphics, vol. 16 no. 6 (2010), pp. 1251-1260, ISSN 1077-2626
  20. Bendich, P; Mukherjee, S; Wang, B, Towards Stratification Learning through Homology Inference (August, 2010)
  21. 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 Accepted

  1. 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
  2. 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.)

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)