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315 Publications
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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| arXiv
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.
[Published Version]
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 17190 |
H. Edelsbrunner, A. Garber, M. Ghafaris, T. Heiss, M. Saghafiant, and M. Wintraecken, “Brillouin zones of integer lattices and their perturbations,” SIAM Journal on Discrete Mathematics, vol. 38, no. 2. Society for Industrial and Applied Mathematics, pp. 1784–1807, 2024.
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 18556 |
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “The Euclidean MST-ratio for bi-colored lattices,” in 32nd International Symposium on Graph Drawing and Network Visualization, Vienna, Austria, 2024, vol. 320.
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| arXiv
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.
[Published Version]
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| arXiv
2024 |
Draft |
Preprint |
IST-REx-ID: 18673 |
H. Edelsbrunner and T. Heiss, “Merge trees of periodic filtrations,” arXiv. .
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| arXiv
earlier version | 2024 |
Draft |
Preprint |
IST-REx-ID: 18981 |
A. Brown and O. Draganov, “Discrete microlocal Morse theory,” arXiv. .
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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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| arXiv
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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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 17891 |
H. Edelsbrunner, K. Ölsböck, and H. Wagner, “Understanding higher-order interactions in information space,” Entropy, vol. 26, no. 8. MDPI, 2024.
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| PubMed | Europe PMC
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 |
Thesis | PhD |
IST-REx-ID: 18667 |
T. Heiss, “New methods for applying topological data analysis to materials science,” Institute of Science and Technology Austria, 2024.
[Published Version]
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earlier version | 2024 |
Draft |
Preprint |
IST-REx-ID: 15091 |
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” arXiv. .
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| arXiv
earlier version | 2024 |
Published |
Conference Paper |
IST-REx-ID: 17146 |
H. Edelsbrunner and J. Pach, “Maximum Betti numbers of Čech complexes,” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
[Published Version]
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| arXiv
2023 |
Published |
Journal Article |
IST-REx-ID: 12086 |
H. Edelsbrunner and G. F. Osang, “A simple algorithm for higher-order Delaunay mosaics and alpha shapes,” Algorithmica, vol. 85. Springer Nature, pp. 277–295, 2023.
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2023 |
Published |
Journal Article |
IST-REx-ID: 12287 |
J.-D. Boissonnat, R. Dyer, A. Ghosh, and M. Wintraecken, “Local criteria for triangulating general manifolds,” Discrete & Computational Geometry, vol. 69. Springer Nature, pp. 156–191, 2023.
[Published Version]
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2023 |
Published |
Journal Article |
IST-REx-ID: 12544 |
P. Koehl, A. Akopyan, and H. Edelsbrunner, “Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives,” Journal of Chemical Information and Modeling, vol. 63, no. 3. American Chemical Society, pp. 973–985, 2023.
[Published Version]
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2023 |
Published |
Conference Paper |
IST-REx-ID: 12548 |
M. Forghani, C. Claramunt, F. Karimipour, and G. Heiler, “Visual analytics of mobility network changes observed using mobile phone data during COVID-19 pandemic,” in 2022 IEEE International Conference on Data Mining Workshops, Orlando, FL, United States, 2023.
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2023 |
Published |
Journal Article |
IST-REx-ID: 12709 |
R. Corbet, M. Kerber, M. Lesnick, and G. F. Osang, “Computing the multicover bifiltration,” Discrete and Computational Geometry, vol. 70. Springer Nature, pp. 376–405, 2023.
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| arXiv
2023 |
Published |
Journal Article |
IST-REx-ID: 12763 |
J. D. Boissonnat and M. Wintraecken, “The reach of subsets of manifolds,” Journal of Applied and Computational Topology, vol. 7. Springer Nature, pp. 619–641, 2023.
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