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  • Michael Kerber
2016

Geometry Helps to Compare Persistence Diagrams

Kerber, M., Morozov, D. & Nigmetov, A., 2016, 2016 Proceedings of the Eighteenth Workshop on Algorithm Engineering and Experiments (ALENEX). ., p. 103-112

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Open Access
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Persistent Homology and Nested Dissection

Kerber, M., Sheehy, D. & Skraba, P., 2016, Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms. ., p. 1234-1245

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Persistent Homology - State of the art and challenges

Kerber, M., Apr 2016, In : Internationale Mathematische Nachrichten. 231, p. 15-33 19 p.

Research output: Contribution to journalArticleResearch

Polynomial-Sized Topological Approximations Using The Permutahedron

Choudhary, A., Kerber, M. & Raghvendra, S., 2016, 32nd International Symposium on Computational Geometry (SoCG 2016). Fekete, S. & Lubiw, A. (eds.). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH, p. 31:1--31:16 16 p. (Leiniz International Proceedings in Informatics; vol. 51).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Open Access

The topology of the cosmic web in terms of persistent Betti numbers

Pranav, P., Edelsbrunner, H., van de Weygaert, R., Vegter, G., Kerber, M., Jones, B. & Wintraecken, M., 2016, In : Monthly Notices of the Royal Astronomical Society. 465, 4, p. 4281-4310 30 p.

Research output: Contribution to journalArticleResearchpeer-review

2018

A Kernel for Multi-Parameter Persistent Homology

Corbet, R., Fugacci, U., Kerber, M., Landi, C. & Wang, B., 2018, (Unpublished).

Research output: Contribution to conferencePosterResearch

A Kernel for Multi-Parameter Persistent Homology

Corbet, R., Fugacci, U., Kerber, M., Landi, C. & Wang, B., 2018, (Unpublished).

Research output: Contribution to conferenceAbstractResearchpeer-review

A Note on Planar Monohedral Tilings

Aichholzer, O., Kerber, M., Talata, I. & Vogtenhuber, B., 2018, Proc. 34th European Workshop on Computational Geometry EuroCG '18. Berlin, Germany, p. 31:1-31:6

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

The Representation Theorem of Persistence Revisited and Generalized

Corbet, R. & Kerber, M., 2018, (Unpublished).

Research output: Contribution to conferencePosterResearch

The Representation Theorem of Persistence Revisited and Generalized

Corbet, R. & Kerber, M., Oct 2018, In : Journal of Applied and Computational Topology. 2, 1-2, p. 1-31

Research output: Contribution to journalArticleResearchpeer-review

Open Access

Topology-Aware Terrain Simplification

Fugacci, U., Kerber, M. & Manet, H., 2018, (Unpublished).

Research output: Contribution to conferenceAbstractResearchpeer-review

Topology-Aware Terrain Simplification

Fugacci, U., Kerber, M. & Manet, H., 2018.

Research output: Contribution to conferencePosterResearch

2019

A Kernel for Multi-Parameter Persistent Homology

Corbet, R., Fugacci, U., Kerber, M., Landi, C. & Wang, B., 2019.

Research output: Contribution to conferencePaperResearchpeer-review

A Kernel for Multi-Parameter Persistent Homology

Corbet, R., Fugacci, U., Kerber, M., Landi, C. & Wang, B., 1 Dec 2019, In : Computers & Graphics: X. 2019 , 2, p. 100005-100016 11 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access

Chunk Reduction for Multi-Parameter Persistent Homology

Fugacci, U. & Kerber, M., 2019, 35th International Symposium on Computational Geometry, SoCG 2019, June 18-21, 2019, Portland, Oregon, USA. p. 37:1-37:14 14 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Exact Computation of the Matching Distance on 2-Parameter Persistence Modules

Kerber, M., Lesnick, M. & Oudot, S., 2019, 35th International Symposium on Computational Geometry, SoCG 2019, June 18-21, 2019, Portland, Oregon, USA. p. 46:1-46:15 15 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Open Access

Improved Topological Approximations by Digitization

Choudhary, A., Kerber, M. & Raghvendra, S., 2019, Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2019, San Diego, California, USA, January 6-9, 2019. Philadelphia: SIAM - Society of Industrial and Applied Mathematics, p. 2675-2688

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Metric Spaces with Expensive Distances

Kerber, M. & Nigmetov, A., 25 Jan 2019, In : arXiv.org e-Print archive. 14 p.

Research output: Contribution to journalArticleResearch

Topology and geometry of Gaussian random fields I: On Betti numbers, Euler characteristic, and Minkowski functionals

Pranav, P., Van De Weygaert, R., Vegter, G., Jones, B. J. T., Adler, R. J., Feldbrugge, J., Park, C., Buchert, T. & Kerber, M., 28 Feb 2019, In : Monthly Notices of the Royal Astronomical Society. 485, 3, p. 4167-4208 42 p.

Research output: Contribution to journalArticleResearchpeer-review