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294 Publications
2025 | Published | Conference Paper | IST-REx-ID: 20729 | 
R. Gonzalez-Diaz, M. Soriano Trigueros, and A. Torras-Casas, “Additive partial matchings for persistent homology,” in Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation, Guanajuato, Mexico, 2025, pp. 188–196.
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2025 | Published | Journal Article | IST-REx-ID: 20260 |
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E. W. Chambers, C. D. Fillmore, E. R. Stephenson, and M. Wintraecken, “Burning or collapsing the medial axis is unstable,” La Matematica, vol. 4. Springer Nature, pp. 811–828, 2025.
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2025 | Published | Journal Article | IST-REx-ID: 20323 |
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A. Brown and O. Draganov, “Discrete microlocal Morse theory,” Journal of Pure and Applied Algebra, vol. 229, no. 10. Elsevier, 2025.
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2025 | Published | Conference Paper | IST-REx-ID: 20006 |
L. Ost, S. Cultrera di Montesano, and H. Edelsbrunner, “Banana trees for the persistence in time series experimentally,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
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2024 | Published | Conference Paper | IST-REx-ID: 17145 |
G. Rote, M. Rüber, and M. Saghafian, “Grid peeling of parabolas,” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
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2024 | Published | Journal Article | IST-REx-ID: 18604 |
P. De Nooijer et al., “Removing popular faces in curve arrangements,” Journal of Graph Algorithms and Applications, vol. 28, no. 2. Brown University, pp. 47–82, 2024.
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| arXiv
2024 | Published | Conference Paper | IST-REx-ID: 18998 |
O. Draganov and S. Skiena, “The shape of word embeddings: Quantifying non-isometry with topological data analysis,” in Findings of the Association for Computational Linguistics: EMNLP 2024, Miami, FL, United States, 2024, pp. 12080–12099.
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2024 | Submitted | Preprint | IST-REx-ID: 18999 |
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic topological data analysis,” arXiv. .
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2024 | Draft | Preprint | IST-REx-ID: 18673 |
H. Edelsbrunner and T. Heiss, “Merge trees of periodic filtrations,” arXiv. .
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2024 | Published | Conference Paper | IST-REx-ID: 17170 |
D. Attali et al., “Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of euclidean spaces and of Riemannian manifolds,” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293, p. 11:1-11:19.
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2024 | Published | Conference Paper | IST-REx-ID: 18097 |
D. Attali et al., “The ultimate frontier: An optimality construction for homotopy inference (media exposition),” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
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2024 | Published | Conference Paper | IST-REx-ID: 17144 |
H. Kourimska, A. Lieutier, and M. Wintraecken, “The medial axis of any closed bounded set Is Lipschitz stable with respect to the Hausdorff distance Under ambient diffeomorphisms,” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
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2024 | Published | Thesis | IST-REx-ID: 18667 |
T. Heiss, “New methods for applying topological data analysis to materials science,” Institute of Science and Technology Austria, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 14345 |
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “On angles in higher order Brillouin tessellations and related tilings in the plane,” Discrete and Computational Geometry, vol. 72. Springer Nature, pp. 29–48, 2024.
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2024 | Published | Thesis | IST-REx-ID: 15094 |
S. Cultrera di Montesano, “Persistence and Morse theory for discrete geometric structures,” Institute of Science and Technology Austria, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 13182 |
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Geometric characterization of the persistence of 1D maps,” Journal of Applied and Computational Topology, vol. 8. Springer Nature, pp. 1101–1119, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 15380 |
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth in arrangements: Dehn–Sommerville–Euler relations with applications,” Journal of Applied and Computational Topology, vol. 8. Springer Nature, pp. 557–578, 2024.
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2024 | Published | Conference Paper | IST-REx-ID: 15093 |
S. Cultrera di Montesano, H. Edelsbrunner, M. Henzinger, and L. Ost, “Dynamically maintaining the persistent homology of time series,” in Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Alexandria, VA, USA, 2024, pp. 243–295.
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2024 | Published | Conference Paper | IST-REx-ID: 14888 |
P. De Nooijer et al., “Removing popular faces in curve arrangements,” in 31st International Symposium on Graph Drawing and Network Visualization, Isola delle Femmine, Palermo, Italy, 2024, vol. 14466, pp. 18–33.
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