Office: Physics 233
            Duke University
            Durham, NC

Phone: +1 919 660 2811


About           Teaching           Publications

Multi-scale Geometric Summaries for Similarity-based Sensor Fusion

Christopher J. Tralie, Paul Bendich, and John Harer.
to appear in the Proceedings of the 40th IEEE Aerospace Conference, 2019.

Geometric Cross-modal Comparision of Heterogeneous Sensor Data

Christopher J. Tralie, Abraham Smith, Nathan Borggren, Jay Hineman, Paul Bendich, Peter Zulch, and John Harer.
to appear in the Proceedings of the 39th IEEE Aerospace Conference, 2018.

Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology

Paul Bendich, Ellen Gasparovic , Christopher J. Tralie and John Harer,
in Research in Computational Topology, AWM-IMA Springer Series, vol. 13, pages 93-114..

Topological and Statistical Behavior Classifiers for Tracking Applications

Paul Bendich, Sang Chin ,Jesse Clarke, Jonathan DeSena, John Harer, Liz Munch , Andrew Newman , David Porter, David Rouse, Nate Strawn, and Adam Watkins.
IEEE Transactions on Aerospace and Electronic Systems, 52(6): 2644-2661, 2016.

Persistent Homology Analysis of Brain Artery Trees

Paul Bendich, J.S.Marron ,Ezra Miller, Alex Pieloch, and Sean Skwerer.
Annals of Applied Statistics, 10(1): 198-218, 2016.

Cover Song Identification with Timbral Shape Sequences

Christopher J. Tralie and Paul Bendich.
Proceedings of the Int. Symp. on Music Information Retrieval, pp 38-44, 2015

Probabilistic Frechet Means for Time-Varying Persistence Diagrams

Liz Munch ,Kate Turner, Paul Bendich, Sayan Mukherjee, Jonathan Mattingly, and John Harer,
Electronic Journal of Statistics , Volume 9, pages 1173-1204.

Multi-scale Local Shape Analysis and Feature Selection for Machine Learning Applications

Paul Bendich, Ellen Gasparovic , John Harer, Rauf Ismailov, and Linda Ness.
to appear in the 2015 proceedings of the International Joint Conference on Neural Networks.

Homology and Robustness of Level and Interlevel Sets

Paul Bendich, Herbert Edelsbrunner, Dmitrity Morozov, and Amit Patel
Homology, Homotopy, and Applications, Volume 15, Issue 1, pages 15-72, 2013.

A Point Calculus for Interlevel set Homology

Paul Bendich, Sergio Cabello , and Herbert Edelsbrunner
Pattern Recognition Letters, Volume 33, Issue 11, pages 1436-1444, 2012.

Local Homology Transfer and Stratification Learning

Paul Bendich, Bei Wang , and Sayan Mukherjee
Proc. 24th Sympos. on Discrete Algorithms, pages 1355-1370, 2012. Full version here.

Impoving Homology Estimates with Random Walks

Paul Bendich, Taras Galkovskyi , and John Harer
Inverse Problems 27 (2011) 124002.

Persistent Intersection Homology

Paul Bendich and John Harer
Foundations of Computational Mathematics, 11 (2011), no. 3, 305-336.

Computing Robustness and Persistence for Images

Paul Bendich, Herbert Edelsbrunner, and Michael Kerber
IEEE Trans. Visual. and Comput. Graphics, 2010, pp. 1251-1260

Persistent Homology under Non-Uniform Error

Paul Bendich, Herbert Edelsbrunner, Michael Kerber, and Amit Patel
Proc. 35th Internat. Sympos. on Math. Found, of Comput, Science, 2010, pp. 12-23.

The Robustness of Level Sets

Paul Bendich, Herbert Edelsbrunner, Dmitrity Morozov, and Amit Patel
Proc. 18th Europ. Sympos. Algorithms, 2010, pp. 1-10

Inferring Local Homology from Sampled Stratified Spaces

With David Cohen-Steiner, Herbert Edelsbrunner, John Harer, and Dmitrity Morozov
Proc. 48th Sympos. on Found. of Comput. Science, 2007, pp. 536-546.

Analyzing Stratified Spaces Using Persistent Versions of Intersection and Local Homology

Ph.D. Thesis, Duke University, August 2008.