Publications

(The list includes only the latest versions of the papers.)

2016

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Persistent Homology.
Herbert Edelsbrunner, Dmitriy Morozov.
Chapter 26 in Handbook of Discrete and Computational Geometry, 3rd ed.
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Efficient Delaunay Tessellation through K-D Tree Decomposition.
Dmitriy Morozov, Tom Peterka.
Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC), 2016.
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Performance Analysis, Design Considerations, and Applications of Extreme-scale In Situ Infrastructures.
Utkarsh Ayachit, Andrew Bauer, Earl P. N. Duque, Greg Eisenhauer, Nicola Ferrier, Junmin Gu, Kenneth E. Jansen, Burlen Loring, Zarija Lukic, Suresh Menon, Dmitriy Morozov, Patrick O'Leary, Reetesh Ranjan, Michel Rasquin, Christopher P. Stone, Venkat Vishwanath, Gunther Weber, Brad Whitlock, Matthew Wolf, K. John Wu, E. Wes Bethel.
Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC), 2016.
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Block-Parallel Data Analysis with DIY2.
Dmitriy Morozov, Tom Peterka.
Proceedings of the IEEE Symposium on Large Data Analysis and Visualization (LDAV), 2016.
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In situ and in-transit analysis of cosmological simulations.
Brian Friesen, Ann Almgren, Zarija Lukic, Gunther Weber, Dmitriy Morozov, Vincent Beckner, Marcus Day.
Computational Astrophysics and Cosmology, vol. 3, pages 1-18, 2016.
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Master of Puppets: Cooperative Multitasking for In Situ Processing.
Dmitriy Morozov, Zarija Lukic.
Proceedings of the Symposium on High-Performance Parallel and Distributed Computing (HPDC), pages 285-288, 2016.
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Communication-Avoiding Parallel Sparse-Dense Matrix-Matrix Multiplication.
Penporn Koanantakool, Ariful Azad, Aydin Buluc, Dmitriy Morozov, Sang-Yun Oh, Leonid Oliker, Katherine Yelick.
Proceedings of the IEEE International Parallel and Distributed Processing Symposium (IPDPS), pages 842-853, 2016.
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Geometry Helps to Compare Persistence Diagrams.
Michael Kerber, Dmitriy Morozov, Arnur Nigmetov.
Proceedings of the Workshop on Algorithm Engineering and Experiments (ALENEX), 2016.

2015

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Parallel Computation of Persistent Homology using the Blowup Complex.
Ryan Lewis, Dmitriy Morozov.
Proceedings of the Annual Symposium on Parallelism in Algorithms and Architectures, pages 323-331, 2015.

2014

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High-Performance Computation of Distributed-Memory Parallel 3D Voronoi and Delaunay Tessellation.
Tom Peterka, Dmitriy Morozov, Carolyn Phillips.
Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC), pages 997-1007, 2014.
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Distributed Contour Trees.
Dmitriy Morozov, Gunther Weber.
Topological Methods in Data Analysis and Visualization III: Theory, Algorithms, and Applications, Mathematics and Visualization, pages 89-102, 2014.
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Measuring the distance between merge trees.
Kenes Beketayev, Damir Yeliussizov, Dmitriy Morozov, Gunther Weber, Bernd Hamann.
Topological Methods in Data Analysis and Visualization III: Theory, Algorithms, and Applications, Mathematics and Visualization, pages 151-166, 2014.

2013

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Interleaving Distance between Merge Trees.
Dmitriy Morozov, Kenes Beketayev, Gunther Weber.
Presented at TopoInVis'13.
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Distributed Merge Trees.
Dmitriy Morozov, Gunther Weber.
Proceedings of the Annual Symposium on Principles and Practice of Parallel Programming, pages 93-102, 2013.
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Witnessed k-Distance.
Leonidas Guibas, Quentin Mérigot, Dmitriy Morozov.
Discrete and Computational Geometry, vol. 49, pages 22-45, 2013.
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Homology and Robustness of Level and Interlevel Sets.
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Homology, Homotopy and Applications, vol. 15, pages 51-72, 2013.

2012

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Persistent Homology: Theory and Practice.
Herbert Edelsbrunner, Dmitriy Morozov.
Proceedings of the European Congress of Mathematics, 2012.
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Augmented Topological Descriptors of Pore Networks for Material Science.
Daniela M. Ushizima, Dmitriy Morozov, Gunther Weber, Andrea G. C. Bianchi, James A. Sethian, E. Wes Bethel.
IEEE Transactions on Visualization and Computer Graphics (Proc. IEEE Vis 2012), 18:2041-2050, 2012.
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Metric Graph Reconstruction from Noisy Data.
Mridul Aanjaneya, Frédéric Chazal, Daniel Chen, Marc Glisse, Leonidas Guibas, Dmitriy Morozov.
International Journal of Computational Geometry and Applications, pages 305-325, 2012.

2011

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Dualities in Persistent (Co)Homology.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.
Inverse Problems, vol. 27, 2011.
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Zigzag Persistent Homology in Matrix Multiplication Time.
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skraba.
Proceedings of the Annual Symposium on Computational Geometry, pages 216-225, 2011.
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Quantifying Transversality by Measuring the Robustness of Intersections.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Foundations of Computational Mathematics, vol. 11, pages 345-361, 2011.
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Persistent Cohomology and Circular Coordinates.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.
Discrete and Computational Geometry, vol. 45, pages 737-759, 2011.
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Computing Elevation Maxima by Searching the Gauss Sphere.
Bei Wang, Herbert Edelsbrunner, Dmitriy Morozov.
ACM Journal of Experimental Algorithmics, vol. 16, pages 1-13, 2011.

2010

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The Robustness of Level Sets.
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Proceedings of the 18th Annnual European Symposium on Algorithms, Lecture Notes in Computer Science 6346, 1-10, 2010.

2009

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The Stability of the Apparent Contour of an Orientable 2-Manifold.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Proceedings of the Workshop on Topological Methods in Data Analysis and Visualization, 2009.
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Zigzag Persistent Homology and Real-valued Functions.
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov.
Proceedings of the Annual Symposium on Computational Geometry, pages 247-256, 2009.
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Persistent Homology for Kernels, Images, and Cokernels.
David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.
Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, pages 1011-1020, 2009.

2008

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Homological Illusions of Persistence and Stability.
Dmitriy Morozov.
Ph.D. Thesis, Duke University, 2008.

2007

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Inferring Local Homology from Sampled Stratified Spaces.
Paul Bendich, David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.
Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science, pages 536-546, 2007.

2006

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Persistence-Sensitive Simplification of Functions on 2-Manifolds.
Herbert Edelsbrunner, Dmitriy Morozov, Valerio Pascucci.
Proceedings of the Annual ACM Symposium on Computational Geometry, pages 127-134, 2006.
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Vines and Vineyards by Updating Persistence in Linear Time.
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy Morozov.
Proceedings of the Annual ACM Symposium on Computational Geometry, pages 119-126, 2006.

2005

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Persistence Algorithm Takes Cubic Time in the Worst Case.
Dmitriy Morozov.
BioGeometry News, Department of Computer Science, Duke University, Durham, NC, 2005.
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Generic Matrix Multiplication and Memory Management in LinBox.
Erich Kaltofen, Dmitriy Morozov, George Yuhasz.
Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, pages 216-223, 2005.