**Papers Published**

- 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) - 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) - 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 - Tralie, CJ; Bendich, P,
*Cover Song Identification with Timbral Shape Sequences*, 16th International Society for Music Information Retrieval (ISMIR) (October, 2015), pp. 38-44 - 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 - Munch, E; Turner, K; Bendich, P; Mukherjee, S; Mattingly, J; Harer, J,
*Probabilistic Fréchet Means for Time Varying Persistence Diagrams*, vol. 9 no. 1 (January, 2015), pp. 1173-1204 - 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 - 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 - 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 - 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 - 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 - 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 - Bendich, P; Edelsbrunner, H; Morozov, D; Patel, A,
*Homology and Robustness of Level and Interlevel Sets*(February, 2011) - with Bendich, P; Galkovskyi, T; Harer, J,
*Improving homology estimates with random walks*, Inverse Problems, vol. 27 no. 12 (2011), ISSN 0266-5611 - with Bendich, P; Harer, J,
*Persistent Intersection Homology*, Foundations of Computational Mathematics, vol. 11 no. 3 (2011), pp. 305-336, ISSN 1615-3375 - 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 - 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 - 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 - 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 - Bendich, P; Mukherjee, S; Wang, B,
*Towards Stratification Learning through Homology Inference*(August, 2010) - 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**

- 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 - 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**

- 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) - Paul Bendich and Peter Bubenik,
*Stabilizing the output of persistent homology computations*, Proc. 2016 Symposium on Computational Geometry (2015)