Associate Professorship of Applied Topology and Geometry

2024

Topologically Faithful Multi-class Segmentation in Medical Images

Berger, A. H., Lux, L., Stucki, N., Bürgin, V., Shit, S., Banaszak, A., Rueckert, D., Bauer, U. & Paetzold, J. C., 2024, Medical Image Computing and Computer Assisted Intervention – MICCAI 2024 - 27th International Conference, Proceedings. Linguraru, M. G., Dou, Q., Feragen, A., Giannarou, S., Glocker, B., Lekadir, K. & Schnabel, J. A. (eds.). Springer Science and Business Media Deutschland GmbH, p. 721-731 11 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 15008 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Wrapping Cycles in Delaunay Complexes: Bridging Persistent Homology and Discrete Morse Theory

Bauer, U. & Roll, F., Jun 2024, 40th International Symposium on Computational Geometry, SoCG 2024. Mulzer, W. & Phillips, J. M. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 15. (Leibniz International Proceedings in Informatics, LIPIcs).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Open Access

2023

Efficient Computation of Image Persistence

Bauer, U. & Schmahl, M., 1 Jun 2023, 39th International Symposium on Computational Geometry, SoCG 2023. Chambers, E. W. & Gudmundsson, J. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 14. (Leibniz International Proceedings in Informatics, LIPIcs).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Efficient Two-Parameter Persistence Computation via Cohomology

Bauer, U., Lenzen, F. & Lesnick, M., 1 Jun 2023, 39th International Symposium on Computational Geometry, SoCG 2023. Chambers, E. W. & Gudmundsson, J. (eds.). (Leibniz International Proceedings in Informatics, LIPIcs).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

On Computing Homological Hitting Sets

Bauer, U., Rathod, A. & Zehavi, M., 1 Jan 2023, 14th Innovations in Theoretical Computer Science Conference, ITCS 2023. Kalai, Y. T. (ed.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 13. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 251).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Topologically Faithful Image Segmentation via Induced Matching of Persistence Barcodes

Stucki, N., Paetzold, J. C., Shit, S., Menze, B. H. & Bauer, U., 2023, 40th International Conference on Machine Learning, ICML 2023. Vol. 202. p. 32698-32727 30 p. (Proceedings of Machine Learning Research).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

19 Scopus citations

2022

Gromov Hyperbolicity, Geodesic Defect, and Apparent Pairs in Vietoris-Rips Filtrations

Bauer, U. & Roll, F., 1 Jun 2022, 38th International Symposium on Computational Geometry, SoCG 2022. Goaoc, X. & Kerber, M. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 15. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 224).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Quasi-Universality of Reeb Graph Distances

Bauer, U., Bjerkevik, H. B. & Fluhr, B., 1 Jun 2022, 38th International Symposium on Computational Geometry, SoCG 2022. Goaoc, X. & Kerber, M. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 14. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 224).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Open Access

5 Scopus citations

2021

CLDICE – A novel topology-preserving loss function for tubular structure segmentation

Shit, S., Paetzold, J. C., Sekuboyina, A., Ezhov, I., Unger, A., Zhylka, A., Pluim, J. P. W., Bauer, U. & Menze, B. H., 2021, Proceedings - 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition, CVPR 2021. IEEE Computer Society, p. 16555-16564 10 p. (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Open Access

219 Scopus citations

2020

Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem

Bauer, U. & Lesnick, M., 2020, Topological Data Analysis - The Abel Symposium, 2018. Baas, N. A., Quick, G., Szymik, M., Thaule, M. & Carlsson, G. E. (eds.). Springer, p. 67-96 30 p. (Abel Symposia; vol. 15).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Open Access

9 Scopus citations

The Reeb graph edit distance is universal

Bauer, U., Landi, C. & Mémoli, F., 1 Jun 2020, 36th International Symposium on Computational Geometry, SoCG 2020. Cabello, S. & Chen, D. Z. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, LIPIcs-SoCG-2020-15. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 164).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Open Access

1 Scopus citations

2019

Hardness of approximation for Morse matching

Bauer, U. & Rathod, A., 2019, Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms. p. 2663-2674 12 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Open Access

4 Scopus citations

On the metric distortion of embedding persistence diagrams into separable Hilbert spaces

Carrière, M. & Bauer, U., 1 Jun 2019, 35th International Symposium on Computational Geometry, SoCG 2019. Barequet, G. & Wang, Y. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 21. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 129).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

12 Scopus citations

Parametrized complexity of expansion height

Bauer, U., Rathod, A. & Spreer, J., Sep 2019, 27th Annual European Symposium on Algorithms, ESA 2019. Bender, M. A., Svensson, O. & Herman, G. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 13. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 144).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

2016

An edit distance for Reeb graphs

Bauer, U., Di Fabio, B. & Landi, C., 2016, EG 3DOR 2016 - Eurographics 2016 Workshop on 3D Object Retrieval. Ferreira, A., Giorgi, D. & Giachetti, A. (eds.). Eurographics Association, p. 27-34 8 p. (Eurographics Workshop on 3D Object Retrieval, EG 3DOR).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

15 Scopus citations

2015

A stable multi-scale kernel for topological machine learning

Reininghaus, J., Huber, S., Bauer, U. & Kwitt, R., 14 Oct 2015, IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2015. IEEE Computer Society, p. 4741-4748 8 p. 7299106. (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition; vol. 07-12-June-2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Open Access

231 Scopus citations

Statistical topological data analysis–A kernel perspective

Kwitt, R., Huber, S., Niethammer, M., Lin, W. & Bauer, U., 2015, Advances in Neural Information Processing Systems 28 (NIPS 2015). Vol. 28. p. 3070-3078 9 p. (Advances in Neural Information Processing Systems).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

49 Scopus citations

Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs

Bauer, U., Munch, E. & Wang, Y., 1 Jun 2015, 31st International Symposium on Computational Geometry, SoCG 2015. Pach, J., Pach, J. & Arge, L. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, p. 461-475 15 p. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 34).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

30 Scopus citations

Associate Professorship of Applied Topology and Geometry

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