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Topological Optimization with Big Steps.
Arnur Nigmetov, Dmitriy Morozov.
Discrete and Computational Geometry, 2024.
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Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior.
Shashank Subramanian, Peter Harrington, Kurt Keutzer, Wahid Bhimji, Dmitriy Morozov, Michael Mahoney, Amir Gholami.
Proceedings of the Conference on Neural Information Processing Systems (NeurIPS), 2023.
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LowFive: In Situ Data Transport for High-Performance Workflows.
Tom Peterka, Dmitriy Morozov, Arnur Nigmetov, Orcun Yildiz, Bogdan Nicolae, Philip E. Davis.
IPDPS'23: International Parallel and Distributed Processing Symposium, 2023.
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Output-sensitive Computation of Generalized Persistence Diagrams for 2-filtrations.
Dmitriy Morozov, Amit Patel.
arXiv:2112.03980, 2021.
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Machine learning with persistent homology and chemical word embeddings improves prediction accuracy and interpretability in metal-organic frameworks.
Aditi S. Krishnapriyan, Joseph Montoya, Maciej Haranczyk, Jens Hummelshøj, Dmitriy Morozov.
Scientific Reports, vol. 11, 8888, 2021.
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Evaluating state space discovery by persistent cohomology in the spatial representation system.
Louis Kang, Boyan Xu, Dmitriy Morozov.
Frontiers in Computational Neuroscience, vol. 15, p. 28, 2021.
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Cosmic Inference: Constraining Parameters with Observations and a Highly Limited Number of Simulations.
Timur Takhtaganov, Zarija Lukic, Juliane Mueller, Dmitriy Morozov.
The Astrophysical Journal, Volume 906, Number 2, 2021.
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Brief Announcement: Towards Lockfree Persistent Homology.
Dmitriy Morozov, Arnur Nigmetov.
Proceedings of the Symposium on Parallelism in Algorithms and Architectures (SPAA), 2020.
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Topological Descriptors Help Predict Guest Adsorption in Nanoporous Materials.
Aditi S. Krishnapriyan, Maciej Haranczyk, Dmitriy Morozov.
The Journal of Physical Chemistry C, 124 (17), 9360-9368, 2020.
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Local–Global Merge Tree Computation with Local Exchanges.
Arnur Nigmetov, Dmitriy Morozov.
Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC), 2019.
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Triplet Merge Trees.
Dmitriy Smirnov, Dmitriy Morozov.
Topological Methods in Data Analysis and Visualization V (TopoInVis'17), 2020.
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Parametrized Homology via Zigzag Persistence.
Gunnar Carlsson, Vin de Silva, Sara Kalisnik, Dmitriy Morozov.
Algebraic and Geometric Topology, vol. 19, pages 657–700, 2019.
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Programmable In Situ System for Iterative Workflows.
Erich Lohrmann, Zarija Lukic, Dmitriy Morozov, Juliane Mueller.
Lecture Notes in Computer Science (LNCS), vol. 10773, pages 122–131, 2018.
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Persistent Homology.
Herbert Edelsbrunner, Dmitriy Morozov.
Chapter 26 in Handbook of Discrete and Computational Geometry, 3rd ed., CRC Press, 2017.
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Geometry Helps to Compare Persistence Diagrams.
Michael Kerber, Dmitriy Morozov, Arnur Nigmetov.
Journal of Experimental Algorithms, vol. 22, 2017.
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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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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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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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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.
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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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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.
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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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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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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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Homological Illusions of Persistence and Stability.
Dmitriy Morozov.
Ph.D. Thesis, Duke University, 2008.
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