Publications
(The list includes only the latest versions of the papers.)2026
Topological Simplification Guided by Forbidden Regions.
Jakub Leskiewicz, Bartosz Furmanek, Michal Lipinski, Dmitriy Morozov.
Jakub Leskiewicz, Bartosz Furmanek, Michal Lipinski, Dmitriy Morozov.
Proceedings of the International Symposium on Computational Geometry (SoCG), pages 72:1-72:17, 2026.
On Neural Scaling Laws for Weather Emulation through Continual Training.
Shashank Subramanian, Alexander Kiefer, Arnur Nigmetov, Amir Gholami, Dmitriy Morozov, Michael Mahoney.
Shashank Subramanian, Alexander Kiefer, Arnur Nigmetov, Amir Gholami, Dmitriy Morozov, Michael Mahoney.
arXiv:2603.25687, 2026.
Persistence-Augmented Neural Networks.
Elena Xinyi Wang, Arnur Nigmetov, Dmitriy Morozov.
Elena Xinyi Wang, Arnur Nigmetov, Dmitriy Morozov.
arXiv:2604.08469, 2026.
Learning earthquake ground motions via conditional generative modeling.
Pu Ren, Rie Nakata, Maxime Lacour, Ilan Naiman, Nori Nakata, Jialin Song, Zhengfa Bi, Osman Asif Malik, Dmitriy Morozov, Omri Azencot, N. Benjamin Erichson, Michael Mahoney.
Pu Ren, Rie Nakata, Maxime Lacour, Ilan Naiman, Nori Nakata, Jialin Song, Zhengfa Bi, Osman Asif Malik, Dmitriy Morozov, Omri Azencot, N. Benjamin Erichson, Michael Mahoney.
Nature Communications, vol. 17, no. 4021, 2026.
A Fast Algorithm for Computing Zigzag Representatives.
Tamal K. Dey, Tao Hou, Dmitriy Morozov.
Tamal K. Dey, Tao Hou, Dmitriy Morozov.
Algorithmica, vol. 88, no. 36, 2026.
2025
Topological potentials guiding protein self-assembly.
Ivan Spirandelli, Arnur Nigmetov, Dmitriy Morozov, Myfanwy E. Evans.
Ivan Spirandelli, Arnur Nigmetov, Dmitriy Morozov, Myfanwy E. Evans.
arXiv:2508.15321, 2025.
Distributed-Memory Parallel Algorithms for Fixed-Radius Near Neighbor Graph Construction.
Gabriel Raulet, Dmitriy Morozov, Aydin Buluc, Katherine Yelick.
Gabriel Raulet, Dmitriy Morozov, Aydin Buluc, Katherine Yelick.
arXiv:2510.14147, 2025.
SciML Agents: Write the Solver, Not the Solution.
Saarth Gaonkar, Xiang Zheng, Haocheng Xi, Rishabh Tiwari, Kurt Keutzer, Dmitriy Morozov, Michael Mahoney, Amir Gholami.
Saarth Gaonkar, Xiang Zheng, Haocheng Xi, Rishabh Tiwari, Kurt Keutzer, Dmitriy Morozov, Michael Mahoney, Amir Gholami.
The 5th Workshop on Mathematical Reasoning and AI at NeurIPS 2025.
Characterizing nuclear pasta with alpha shapes.
Jörge A. López, Daniela Ramírez Chávez, Dmitriy Morozov.
Jörge A. López, Daniela Ramírez Chávez, Dmitriy Morozov.
Nuclear Physics A, vol. 1064, pages 123225-123225, 2025.
Persistent (Co)Homology in Matrix Multiplication Time.
Dmitriy Morozov, Primoz Skraba.
Dmitriy Morozov, Primoz Skraba.
Proceedings of the International Symposium on Computational Geometry (SoCG). Leibniz International Proceedings in Informatics (LIPIcs), Volume 332, pp. 68:1-68:16, 2025.
Computing Betti Tables and Minimal Presentations of Zero-Dimensional Persistent Homology.
Dmitriy Morozov, Luis Scoccola.
Dmitriy Morozov, Luis Scoccola.
Proceedings of the International Symposium on Computational Geometry (SoCG). Leibniz International Proceedings in Informatics (LIPIcs), Volume 332, pp. 69:1-69:15, 2025.
Apex Representatives.
Tamal K. Dey, Tao Hou, Dmitriy Morozov.
Tamal K. Dey, Tao Hou, Dmitriy Morozov.
Proceedings of the International Symposium on Computational Geometry (SoCG). Leibniz International Proceedings in Informatics (LIPIcs), Volume 332, pp. 40:1-40:16, 2025.
Visualizing Loss Functions as Topological Landscape Profiles.
Caleb Geniesse, Jiaqing Chen, Tiankai Xie, Ge Shi, Yaoqing Yang, Dmitriy Morozov, Talita Perciano, Michael Mahoney, Ross Maciejewski, Gunther Weber.
Caleb Geniesse, Jiaqing Chen, Tiankai Xie, Ge Shi, Yaoqing Yang, Dmitriy Morozov, Talita Perciano, Michael Mahoney, Ross Maciejewski, Gunther Weber.
Workshop on Symmetry and Geometry in Neural Representations at NeurIPS 2025.
2024
Topological Optimization with Big Steps.
Arnur Nigmetov, Dmitriy Morozov.
Arnur Nigmetov, Dmitriy Morozov.
Discrete and Computational Geometry, 2024.
Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning.
Wuyang Chen, Jialin Song, Pu Ren, Shashank Subramanian, Dmitriy Morozov, Michael Mahoney.
Wuyang Chen, Jialin Song, Pu Ren, Shashank Subramanian, Dmitriy Morozov, Michael Mahoney.
Proceedings of the Conference on Neural Information Processing Systems (NeurIPS), 2024.
Evaluating Loss Landscapes from a Topology Perspective.
Tiankai Xie, Caleb Geniesse, Jiaqing Chen, Yaoqing Yang, Dmitriy Morozov, Michael Mahoney, Ross Maciejewski, Gunther Weber.
Tiankai Xie, Caleb Geniesse, Jiaqing Chen, Yaoqing Yang, Dmitriy Morozov, Michael Mahoney, Ross Maciejewski, Gunther Weber.
arXiv:2411.09807, 2024.
Robustifying State-space Models for Long Sequences via Approximate Diagonalization.
Annan Yu, Arnur Nigmetov, Dmitriy Morozov, Michael Mahoney, N. Benjamin Erichson.
Annan Yu, Arnur Nigmetov, Dmitriy Morozov, Michael Mahoney, N. Benjamin Erichson.
Proceedings of the International Conference on Learning Representations (ICLR), 2024.
Topological regularization via persistence-sensitive optimization.
Arnur Nigmetov, Aditi S. Krishnapriyan, Nicole Sanderson, Dmitriy Morozov.
Arnur Nigmetov, Aditi S. Krishnapriyan, Nicole Sanderson, Dmitriy Morozov.
Computational Geometry, vol. 120, pages 102086, 2024.
Viper: A High-Performance I/O Framework for Transparently Updating, Storing, and Transferring Deep Neural Network Models.
Jie Ye, Jaime Cernuda, Neeraj Rajesh, Keith Bateman, Orcun Yildiz, Tom Peterka, Arnur Nigmetov, Dmitriy Morozov, Xian-He Sun, Anthony Kougkas, Bogdan Nicolae.
Jie Ye, Jaime Cernuda, Neeraj Rajesh, Keith Bateman, Orcun Yildiz, Tom Peterka, Arnur Nigmetov, Dmitriy Morozov, Xian-He Sun, Anthony Kougkas, Bogdan Nicolae.
Proceedings of the International Conference on Parallel Processing (ICPP), pages 812-821, 2024.
Wilkins: HPC In Situ Workflows Made Easy.
Orcun Yildiz, Dmitriy Morozov, Arnur Nigmetov, Bogdan Nicolae, Tom Peterka.
Orcun Yildiz, Dmitriy Morozov, Arnur Nigmetov, Bogdan Nicolae, Tom Peterka.
Frontiers in High Performance Computing, vol. 2, 2024.
2023
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.
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.
LowFive: In Situ Data Transport for High-Performance Workflows.
Tom Peterka, Dmitriy Morozov, Arnur Nigmetov, Orcun Yildiz, Bogdan Nicolae, Philip E. Davis.
Tom Peterka, Dmitriy Morozov, Arnur Nigmetov, Orcun Yildiz, Bogdan Nicolae, Philip E. Davis.
IPDPS'23: International Parallel and Distributed Processing Symposium, 2023.
2022
Fast Merge Tree Computation via SYCL.
Arnur Nigmetov, Dmitriy Morozov.
Arnur Nigmetov, Dmitriy Morozov.
Topological Data Analysis and Visualization (TopoInVis), 2022.
Topological Methods for Pattern Detection in Climate Data.
Grzegorz Muszynski, Vitaliy Kurlin, Dmitriy Morozov, Michael Wehner, Karthik Kashinath, Prabhat Ram.
Grzegorz Muszynski, Vitaliy Kurlin, Dmitriy Morozov, Michael Wehner, Karthik Kashinath, Prabhat Ram.
In Big Data Analytics in Earth, Atmospheric, and Ocean Sciences, Chapter 13, 2022.
Towards Low-Overhead Resilience for Data Parallel Deep Learning.
Bogdan Nicolae, Tanner Hobson, Orcun Yildiz, Tom Peterka, Dmitriy Morozov.
Bogdan Nicolae, Tanner Hobson, Orcun Yildiz, Tom Peterka, Dmitriy Morozov.
CCGrid’22: The 22th IEEE/ACM International Symposium on Cluster, Cloud and Internet Computing, 2022.
2021
Output-sensitive Computation of Generalized Persistence Diagrams for 2-filtrations.
Dmitriy Morozov, Amit Patel.
Dmitriy Morozov, Amit Patel.
arXiv:2112.03980, 2021.
Topological network analysis of patient similarity for precision management of acute blood pressure in spinal cord injury.
Abel Torres-Espín, Jenny Haefeli, Reza Ehsanian, Dolores Torres, Carlos A Almeida, J Russell Huie, Austin Chou, Dmitriy Morozov, Nicole Sanderson, Benjamin Dirlikov, Catherine G Suen, Jessica L Nielson, Nikos Kyritsis, Debra D Hemmerle, Jason F Talbott, Geoffrey T Manley, Sanjay S Dhall, William D Whetstone, Jacqueline C Bresnahan, Michael S Beattie, Stephen L McKenna, Jonathan Z Pan, Adam R Ferguson, The TRACK-SCI Investigators.
Abel Torres-Espín, Jenny Haefeli, Reza Ehsanian, Dolores Torres, Carlos A Almeida, J Russell Huie, Austin Chou, Dmitriy Morozov, Nicole Sanderson, Benjamin Dirlikov, Catherine G Suen, Jessica L Nielson, Nikos Kyritsis, Debra D Hemmerle, Jason F Talbott, Geoffrey T Manley, Sanjay S Dhall, William D Whetstone, Jacqueline C Bresnahan, Michael S Beattie, Stephen L McKenna, Jonathan Z Pan, Adam R Ferguson, The TRACK-SCI Investigators.
eLife 10:e68015, 2021.
Dynamic Heterogeneous Task Specification and Execution for In Situ Workflows.
Orcun Yildiz, Dmitriy Morozov, Bogdan Nicolae, Tom Peterka.
Orcun Yildiz, Dmitriy Morozov, Bogdan Nicolae, Tom Peterka.
IEEE Workshop on Workflows in Support of Large-Scale Science (WORKS), pp. 25-32, 2021.
IExchange: Asynchronous Communication and Termination Detection for Iterative Algorithms.
Dmitriy Morozov, Tom Peterka, Hanqi Guo, Mukund Raj, Jiayi Xu, Han-Wei Shen.
Dmitriy Morozov, Tom Peterka, Hanqi Guo, Mukund Raj, Jiayi Xu, Han-Wei Shen.
Proceedings of the IEEE Symposium on Large Data Analysis and Visualization (LDAV), 2021.
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.
Aditi S. Krishnapriyan, Joseph Montoya, Maciej Haranczyk, Jens Hummelshøj, Dmitriy Morozov.
Scientific Reports, vol. 11, 8888, 2021.
Evaluating state space discovery by persistent cohomology in the spatial representation system.
Louis Kang, Boyan Xu, Dmitriy Morozov.
Louis Kang, Boyan Xu, Dmitriy Morozov.
Frontiers in Computational Neuroscience, vol. 15, p. 28, 2021.
Cosmic Inference: Constraining Parameters with Observations and a Highly Limited Number of Simulations.
Timur Takhtaganov, Zarija Lukic, Juliane Mueller, Dmitriy Morozov.
Timur Takhtaganov, Zarija Lukic, Juliane Mueller, Dmitriy Morozov.
The Astrophysical Journal, Volume 906, Number 2, 2021.
2020
PersGNN: Applying Topological Data Analysis and Geometric Deep Learning to Structure-Based Protein Function Prediction.
Nicolas Swenson, Aditi S. Krishnapriyan, Aydin Buluc, Dmitriy Morozov, Katherine Yelick.
Nicolas Swenson, Aditi S. Krishnapriyan, Aydin Buluc, Dmitriy Morozov, Katherine Yelick.
arXiv:2010.16027, 2020.
Towards Lockfree Persistent Homology.
Dmitriy Morozov, Arnur Nigmetov.
Dmitriy Morozov, Arnur Nigmetov.
Proceedings of the Symposium on Parallelism in Algorithms and Architectures (SPAA), 2020.
Topological Descriptors Help Predict Guest Adsorption in Nanoporous Materials.
Aditi S. Krishnapriyan, Maciej Haranczyk, Dmitriy Morozov.
Aditi S. Krishnapriyan, Maciej Haranczyk, Dmitriy Morozov.
The Journal of Physical Chemistry C, 124 (17), 9360-9368, 2020.
Triplet Merge Trees.
Dmitriy Smirnov, Dmitriy Morozov.
Dmitriy Smirnov, Dmitriy Morozov.
Topological Methods in Data Analysis and Visualization V (TopoInVis'17), 2020.
2019
Distributed Global Digital Volume Correlation by Optimal Transport.
J. Michael L. MacNeil, Dmitriy Morozov, Francesco Panerai, Dilworth Parkinson, Harold Barnard, Daniela M. Ushizima.
J. Michael L. MacNeil, Dmitriy Morozov, Francesco Panerai, Dilworth Parkinson, Harold Barnard, Daniela M. Ushizima.
Proceedings of the 1st Annual Workshop on Large-scale Experiment-in-the-Loop Computing (XLOOP) @ SC, 2019.
Local–Global Merge Tree Computation with Local Exchanges.
Arnur Nigmetov, Dmitriy Morozov.
Arnur Nigmetov, Dmitriy Morozov.
Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC), 2019.
Parametrized Homology via Zigzag Persistence.
Gunnar Carlsson, Vin de Silva, Sara Kalisnik, Dmitriy Morozov.
Gunnar Carlsson, Vin de Silva, Sara Kalisnik, Dmitriy Morozov.
Algebraic and Geometric Topology, vol. 19, pages 657–700, 2019.
Replays of Spatial Memories Suppress Topological Fluctuations in Cognitive Map.
Andrey Babichev, Dmitriy Morozov, Yuri Dabaghian.
Andrey Babichev, Dmitriy Morozov, Yuri Dabaghian.
Network Neuroscience, vol. 3, pages 707-724, 2019.
2018
Robust Spatial Memory Maps Encoded in Networks with Transient Connections.
Andrey Babichev, Dmitriy Morozov, Yuri Dabaghian.
Andrey Babichev, Dmitriy Morozov, Yuri Dabaghian.
PLoS Computational Biology, vol. 14, e1006433, 2018.
Communication-Avoiding Optimization Methods for Distributed Massive-Scale Sparse Inverse Covariance Estimation.
Penporn Koanantakool, Alnur Ali, Ariful Azad, Aydin Buluc, Dmitriy Morozov, Sang-Yun Oh, Leonid Oliker, Katherine Yelick.
Penporn Koanantakool, Alnur Ali, Ariful Azad, Aydin Buluc, Dmitriy Morozov, Sang-Yun Oh, Leonid Oliker, Katherine Yelick.
Proceedings of the International Conference on Artificial Intelligence and Statistics (AISTATS), pages 1376–1386, 2018.
Measuring the Error in Approximating the Sub-Level Set Topology of Sampled Scalar Data.
Kenes Beketayev, Damir Yeliussizov, Dmitriy Morozov, Gunther Weber, Bernd Hamann.
Kenes Beketayev, Damir Yeliussizov, Dmitriy Morozov, Gunther Weber, Bernd Hamann.
International Journal of Computational Geometry and Applications, vol. 28, pages 57–77, 2018.
Programmable In Situ System for Iterative Workflows.
Erich Lohrmann, Zarija Lukic, Dmitriy Morozov, Juliane Mueller.
Erich Lohrmann, Zarija Lukic, Dmitriy Morozov, Juliane Mueller.
Lecture Notes in Computer Science (LNCS), vol. 10773, pages 122–131, 2018.
2017
Persistent Homology.
Herbert Edelsbrunner, Dmitriy Morozov.
Herbert Edelsbrunner, Dmitriy Morozov.
Chapter 26 in Handbook of Discrete and Computational Geometry, 3rd ed., CRC Press, 2017.
Geometry Helps to Compare Persistence Diagrams.
Michael Kerber, Dmitriy Morozov, Arnur Nigmetov.
Michael Kerber, Dmitriy Morozov, Arnur Nigmetov.
Journal of Experimental Algorithms, vol. 22, 2017.
Computing and Visualizing Time-Varying Merge Trees for High-Dimensional Data.
Patrick Oesterling, Christian Heine, Gunther Weber, Dmitriy Morozov, Gerik Scheuermann.
Patrick Oesterling, Christian Heine, Gunther Weber, Dmitriy Morozov, Gerik Scheuermann.
Topological Methods in Data Analysis and Visualization IV: Theory, Algorithms, and Applications, pages 87–101, 2017.
2016
Efficient Delaunay Tessellation through K-D Tree Decomposition.
Dmitriy Morozov, Tom Peterka.
Dmitriy Morozov, Tom Peterka.
Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC), 2016.
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.
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.
Block-Parallel Data Analysis with DIY2.
Dmitriy Morozov, Tom Peterka.
Dmitriy Morozov, Tom Peterka.
Proceedings of the IEEE Symposium on Large Data Analysis and Visualization (LDAV), 2016.
In situ and in-transit analysis of cosmological simulations.
Brian Friesen, Ann Almgren, Zarija Lukic, Gunther Weber, Dmitriy Morozov, Vincent Beckner, Marcus Day.
Brian Friesen, Ann Almgren, Zarija Lukic, Gunther Weber, Dmitriy Morozov, Vincent Beckner, Marcus Day.
Computational Astrophysics and Cosmology, vol. 3, pages 1-18, 2016.
Master of Puppets: Cooperative Multitasking for In Situ Processing.
Dmitriy Morozov, Zarija Lukic.
Dmitriy Morozov, Zarija Lukic.
Proceedings of the Symposium on High-Performance Parallel and Distributed Computing (HPDC), pages 285-288, 2016.
Communication-Avoiding Parallel Sparse-Dense Matrix-Matrix Multiplication.
Penporn Koanantakool, Ariful Azad, Aydin Buluc, Dmitriy Morozov, Sang-Yun Oh, Leonid Oliker, Katherine Yelick.
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.
2015
Parallel Computation of Persistent Homology using the Blowup Complex.
Ryan Lewis, Dmitriy Morozov.
Ryan Lewis, Dmitriy Morozov.
Proceedings of the Annual Symposium on Parallelism in Algorithms and Architectures, pages 323-331, 2015.
2014
High-Performance Computation of Distributed-Memory Parallel 3D Voronoi and Delaunay Tessellation.
Tom Peterka, Dmitriy Morozov, Carolyn Phillips.
Tom Peterka, Dmitriy Morozov, Carolyn Phillips.
Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC), pages 997-1007, 2014.
Distributed Contour Trees.
Dmitriy Morozov, Gunther Weber.
Dmitriy Morozov, Gunther Weber.
Topological Methods in Data Analysis and Visualization III: Theory, Algorithms, and Applications, Mathematics and Visualization, pages 89-102, 2014.
Measuring the distance between merge trees.
Kenes Beketayev, Damir Yeliussizov, Dmitriy Morozov, Gunther Weber, Bernd Hamann.
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
Interleaving Distance between Merge Trees.
Dmitriy Morozov, Kenes Beketayev, Gunther Weber.
Dmitriy Morozov, Kenes Beketayev, Gunther Weber.
Presented at TopoInVis'13.
Distributed Merge Trees.
Dmitriy Morozov, Gunther Weber.
Dmitriy Morozov, Gunther Weber.
Proceedings of the Annual Symposium on Principles and Practice of Parallel Programming, pages 93-102, 2013.
Witnessed k-Distance.
Leonidas Guibas, Quentin Mérigot, Dmitriy Morozov.
Leonidas Guibas, Quentin Mérigot, Dmitriy Morozov.
Discrete and Computational Geometry, vol. 49, pages 22-45, 2013.
Homology and Robustness of Level and Interlevel Sets.
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Homology, Homotopy and Applications, vol. 15, pages 51-72, 2013.
2012
Persistent Homology: Theory and Practice.
Herbert Edelsbrunner, Dmitriy Morozov.
Herbert Edelsbrunner, Dmitriy Morozov.
Proceedings of the European Congress of Mathematics, 2012.
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.
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.
Geometry-preserving topological landscapes.
Kenes Beketayev, Gunther Weber, Dmitriy Morozov, Aidos Abzhanov, Bernd Hamann.
Kenes Beketayev, Gunther Weber, Dmitriy Morozov, Aidos Abzhanov, Bernd Hamann.
WASA, pages 155-160, 2012.
Metric Graph Reconstruction from Noisy Data.
Mridul Aanjaneya, Frédéric Chazal, Daniel Chen, Marc Glisse, Leonidas Guibas, Dmitriy Morozov.
Mridul Aanjaneya, Frédéric Chazal, Daniel Chen, Marc Glisse, Leonidas Guibas, Dmitriy Morozov.
International Journal of Computational Geometry and Applications, pages 305-325, 2012.
2011
Dualities in Persistent (Co)Homology.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.
Inverse Problems, vol. 27, 2011.
Zigzag Persistent Homology in Matrix Multiplication Time.
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skraba.
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skraba.
Proceedings of the Annual Symposium on Computational Geometry, pages 216-225, 2011.
Quantifying Transversality by Measuring the Robustness of Intersections.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Foundations of Computational Mathematics, vol. 11, pages 345-361, 2011.
Persistent Cohomology and Circular Coordinates.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.
Discrete and Computational Geometry, vol. 45, pages 737-759, 2011.
Computing Elevation Maxima by Searching the Gauss Sphere.
Bei Wang, Herbert Edelsbrunner, Dmitriy Morozov.
Bei Wang, Herbert Edelsbrunner, Dmitriy Morozov.
ACM Journal of Experimental Algorithmics, vol. 16, pages 1-13, 2011.
2010
The Robustness of Level Sets.
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
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
The Stability of the Apparent Contour of an Orientable 2-Manifold.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.
Proceedings of the Workshop on Topological Methods in Data Analysis and Visualization, 2009.
Zigzag Persistent Homology and Real-valued Functions.
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov.
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov.
Proceedings of the Annual Symposium on Computational Geometry, pages 247-256, 2009.
Persistent Homology for Kernels, Images, and Cokernels.
David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.
David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.
Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, pages 1011-1020, 2009.
2008
Homological Illusions of Persistence and Stability.
Dmitriy Morozov.
Dmitriy Morozov.
Ph.D. Thesis, Duke University, 2008.
2007
Inferring Local Homology from Sampled Stratified Spaces.
Paul Bendich, David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.
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
Persistence-Sensitive Simplification of Functions on 2-Manifolds.
Herbert Edelsbrunner, Dmitriy Morozov, Valerio Pascucci.
Herbert Edelsbrunner, Dmitriy Morozov, Valerio Pascucci.
Proceedings of the Annual ACM Symposium on Computational Geometry, pages 127-134, 2006.
Vines and Vineyards by Updating Persistence in Linear Time.
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy Morozov.
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy Morozov.
Proceedings of the Annual ACM Symposium on Computational Geometry, pages 119-126, 2006.
2005
Persistence Algorithm Takes Cubic Time in the Worst Case.
Dmitriy Morozov.
Dmitriy Morozov.
BioGeometry News, Department of Computer Science, Duke University, Durham, NC, 2005.
Generic Matrix Multiplication and Memory Management in LinBox.
Erich Kaltofen, Dmitriy Morozov, George Yuhasz.
Erich Kaltofen, Dmitriy Morozov, George Yuhasz.
Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, pages 216-223, 2005.