Paul Bendich
Paul Bendich
Associate Research Professor, Duke University; Chief Scientist, Geometric Data Analytics, Inc.
Verified email at - Homepage
Cited by
Cited by
Persistent homology analysis of brain artery trees
P Bendich, JS Marron, E Miller, A Pieloch, S Skwerer
Annals of Applied Statistics 10 (1), 198-218, 2016
Computing robustness and persistence for images
P Bendich, H Edelsbrunner, M Kerber
IEEE transactions on visualization and computer graphics 16 (6), 1251-1260, 2010
Probabilistic Fréchet means for time varying persistence diagrams
E Munch, K Turner, P Bendich, S Mukherjee, J Mattingly, J Harer
Electronic Journal of Statistics 9 (1), 1173-1204, 2015
Homology and robustness of level and interlevel sets
P Bendich, H Edelsbrunner, D Morozov, A Patel
Homology, Homotopy and Applications 15 (1), 51-72, 2013
Local homology transfer and stratification learning
P Bendich, B Wang, S Mukherjee
Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete …, 2012
Inferring local homology from sampled stratified spaces.
P Bendich, D Cohen-Steiner, H Edelsbrunner, J Harer, D Morozov
FOCS, 536-546, 2007
Topological and statistical behavior classifiers for tracking applications
AWT Paul Bendich, Sang Chin, Jesse Clarke, John deSena, John Harer ...
IEEE Transactions on Aerospace and Electronic Systems 52 (6), 2644-2661, 2016
Cover song identification with timbral shape sequences
CJ Tralie, P Bendich
arXiv preprint arXiv:1507.05143, 2015
Persistent intersection homology
P Bendich, J Harer
Foundations of Computational Mathematics 11 (3), 305-336, 2011
Analyzing stratified spaces using persistent versions of intersection and local homology
P Bendich
Duke University, 2008
Multi-scale local shape analysis and feature selection in machine learning applications
P Bendich, E Gasparovic, J Harer, R Izmailov, L Ness
2015 International Joint Conference on Neural Networks (IJCNN), 1-8, 2015
Improving homology estimates with random walks
P Bendich, T Galkovskyi, J Harer
Inverse Problems 27 (12), 124002, 2011
Scaffoldings and spines: organizing high-dimensional data using cover trees, local principal component analysis, and persistent homology
P Bendich, E Gasparovic, CJ Tralie, J Harer
Research in Computational Topology, 93-114, 2018
A fast and robust method for global topological functional optimization
Y Solomon, A Wagner, P Bendich
International Conference on Artificial Intelligence and Statistics, 109-117, 2021
Stabilizing the unstable output of persistent homology computations
P Bendich, P Bubenik, A Wagner
Journal of Applied and Computational Topology 4 (2), 309-338, 2020
From geometry to topology: Inverse theorems for distributed persistence
E Solomon, A Wagner, P Bendich
arXiv preprint arXiv:2101.12288, 2021
Upstream fusion of multiple sensing modalities using machine learning and topological analysis: An initial exploration
D Garagić, J Peskoe, F Liu, MS Claffey, P Bendich, J Hineman, ...
2018 IEEE Aerospace Conference, 1-8, 2018
Supervised Learning of Labeled Pointcloud Differences via Cover-Tree Entropy Reduction
A Smith, P Bendich, J Harer, A Pieloch, J Hineman
arXiv preprint arXiv:1702.07959, 2017
Ripscollapse: discrete morse theory and fast computation of one-dimensional persistence
J Harer, J Slaczedek, P Bendich
Manuscript, Duke University, 2014
A point calculus for interlevel set homology
P Bendich, S Cabello, H Edelsbrunner
Pattern Recognition Letters 33 (11), 1436-1444, 2012
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