Dmitriy Morozov

Dmitriy Morozov

Email: (Public key)
Office: Lawrence Berkeley National Lab
  1 Cyclotron Road, Mailstop 50F-1650
  Berkeley, CA 94720-8139

Phone: (650) 648-3340

About

I am a postdoc in the Visualization group at the Lawrence Berkeley National Lab. My main interests are computational topology and geometry, especially, as they apply to data analysis. I did my graduate studies at Duke, where my advisor was Herbert Edelsbrunner, followed by a postdoc at Stanford working with Leo Guibas and Gunnar Carlsson.

Teaching

Fall 2009: Computational Topology

Manuscripts

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Homology and Robustness of Level and Interlevel Sets.
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
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Dualities in Persistent (Co)Homology.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.

Publications

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Witnessed k-Distance.
Leonidas Guibas, Quentin Mérigot, Dmitriy Morozov.
Proceedings of the Annual Symposium on Computational Geometry, pages 57-64, 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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Metric Graph Reconstruction from Noisy Data.
Mridul Aanjaneya, Frédéric Chazal, Daniel Chen, Marc Glisse, Leonidas Guibas, Dmitriy Morozov.
Proceedings of the Annual Symposium on Computational Geometry, pages 37-46, 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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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.
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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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Computing Elevation Maxima by Searching the Gauss Sphere.
Bei Wang, Herbert Edelsbrunner, Dmitriy Morozov.
Proceedings of the International Symposium on Experimental Algorithms, Lecture Notes in Computer Science 5526, pages 281-292, 2009.
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Homological Illusions of Persistence and Stability.
Dmitriy Morozov.
Ph.D. Thesis, Duke University, 2008.
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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.
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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.
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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.
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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.