Paul Bendich
Paul Bendich
Associate Research Professor, Duke University; Chief Scientist, Geometric Data Analytics, Inc.
Verified email at math.duke.edu - Homepage
Title
Cited by
Cited by
Year
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
1692016
Computing robustness and persistence for images
P Bendich, H Edelsbrunner, M Kerber
IEEE transactions on visualization and computer graphics 16 (6), 1251-1260, 2010
942010
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
65*2013
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
61*2015
Inferring local homology from sampled stratified spaces
P Bendich, D Cohen-Steiner, H Edelsbrunner, J Harer, D Morozov
48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07), 536-546, 2007
562007
Local homology transfer and stratification learning
P Bendich, B Wang, S Mukherjee
Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete …, 2012
55*2012
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
45*2016
Cover song identification with timbral shape sequences
CJ Tralie, P Bendich
arXiv preprint arXiv:1507.05143, 2015
252015
Persistent intersection homology
P Bendich, J Harer
Foundations of Computational Mathematics 11 (3), 305-336, 2011
232011
Analyzing stratified spaces using persistent versions of intersection and local homology
P Bendich
Duke University, 2008
182008
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
162015
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
132018
Improving homology estimates with random walks
P Bendich, T Galkovskyi, J Harer
Inverse Problems 27 (12), 124002, 2011
112011
Ripscollapse: discrete morse theory and fast computation of onedimensional persistence
J Harer, J Slaczedek, P Bendich
Manuscript, Duke University, 2014
52014
A point calculus for interlevel set homology
P Bendich, S Cabello, H Edelsbrunner
Pattern Recognition Letters 33 (11), 1436-1444, 2012
52012
Stabilizing the unstable output of persistent homology computations
P Bendich, P Bubenik, A Wagner
Journal of Applied and Computational Topology, 1-30, 2019
42019
Stratification Learning through Homology Inference.
P Bendich, S Mukherjee, B Wang
AAAI Fall Symposium: Manifold Learning and Its Applications, 2010
42010
Persistent homology under non-uniform error
P Bendich, H Edelsbrunner, M Kerber, A Patel
International Symposium on Mathematical Foundations of Computer Science, 12-23, 2010
42010
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
32021
Multi-scale geometric summaries for similarity-based sensor fusion
CJ Tralie, P Bendich, J Harer
2019 IEEE Aerospace Conference, 1-10, 2019
32019
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