Math @ Duke

Papers Published
 Tralie, CJ; Smith, A; Borggren, N; Hineman, J; Bendich, P; Zulch, P; Harer, J, Geometric CrossModal Comparison of Heterogeneous Sensor Data,
Proceedings of the 39th IEEE Aerospace Conference
(March, 2018) [abs]
 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. 65.165.5, ISBN 9783959770095 [doi] [abs]
 Tralie, CJ; Bendich, P, Cover Song Identification with Timbral Shape Sequences,
16th International Society for Music Information Retrieval (ISMIR)
(October, 2015),
pp. 3844 [1507.05143v1] [abs]
 Bendich, P; Gasparovic, E; Harer, J; Izmailov, R; Ness, L, Multiscale local shape analysis and feature selection in machine learning applications,
Proceedings of the International Joint Conference on Neural Networks, vol. 2015September
(September, 2015),
pp. 18 [arXiv:1410.3169], [repository], [doi] [abs]
 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. 11731204 [1307.6530v3], [doi] [abs]
 Rouse, D; Watkins, A; Porter, D; Harer, J; Bendich, P; Strawn, N; Munch, E; Desena, J; Clarke, J; Gilbert, J; Chin, S; Newman, A, Featureaided multiple hypothesis tracking using topological and statistical behavior classifiers,
Proceedings of SPIE  The International Society for Optical Engineering, vol. 9474
(January, 2015), ISBN 9781628415902 [doi] [abs]
 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. 11731204 [6530] [abs] [author's comments]
 Christopher J Tralie and Paul Bendich, Cover Song Identification with Timbral Shape,
Proceedings of the 16th International Society for Music Information Retrieval
(2015),
pp. 3844 [1507.05143] [abs]
 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. 5172 [abs]
 with Bendich, P; Wang, B; Mukherjee, S, Local homology transfer and stratification learning,
Proceedings of the Annual ACMSIAM Symposium on Discrete Algorithms
(2012),
pp. 13551370 [abs]
 with Bendich, P; Cabello, S; Edelsbrunner, H, A point calculus for interlevel set homology,
Pattern Recognition Letters, vol. 33 no. 11
(August, 2012),
pp. 14361444, ISSN 01678655 [doi] [abs]
 Bendich, P; Edelsbrunner, H; Morozov, D; Patel, A, Homology and Robustness of Level and Interlevel Sets
(February, 2011) [1102.3389v1] [abs]
 with Bendich, P; Galkovskyi, T; Harer, J, Improving homology estimates with random walks,
Inverse Problems, vol. 27 no. 12
(2011), ISSN 02665611 [doi] [abs]
 with Bendich, P; Harer, J, Persistent Intersection Homology,
Foundations of Computational Mathematics, vol. 11 no. 3
(2011),
pp. 305336, ISSN 16153375 [doi] [abs]
 Bendich, P; Mukherjee, S; Wang, B, Stratification learning through homology inference,
AAAI Fall Symposium  Technical Report, vol. FS1006
(December, 2010),
pp. 1017 [abs]
 with Bendich, P; Edelsbrunner, H; Kerber, M; Patel, A, Persistent homology under nonuniform error,
Lecture notes in computer science, vol. 6281 LNCS
(2010),
pp. 1223, ISSN 03029743 [doi] [abs]
 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. 110, ISSN 03029743 [doi] [abs]
 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. 12511260, ISSN 10772626 [doi] [abs]
 Bendich, P; Mukherjee, S; Wang, B, Towards Stratification Learning through Homology Inference
(August, 2010) [1008.3572v1] [abs]
 with David CohenSteiner, 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 536546, 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. 26442661 [doi] [abs]
 Bendich, P; Marron, JS; Miller, E; Pieloch, A; Skwerer, S, Persistent Homology Analysis of Brain Artery Trees.,
The annals of applied statistics, vol. 10 no. 1
(January, 2016),
pp. 198218, ISSN 19326157 (to appear.) [repository], [doi] [abs]
Papers Submitted
 Paul Bendich, Ellen Gasparovic, John Harer, and Christopher J. Tralie, Scaffoldings and Spines: Organizing HighDimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology
(2016) [1602.06245]
 Paul Bendich and Peter Bubenik, Stabilizing the output of persistent homology computations,
Proc. 2016 Symposium on Computational Geometry
(2015) [1512.01700]


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ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

