Research output per year
Research output per year
- 18 results
Search results
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2024
On the consistency and asymptotic normality of multiparameter persistent Betti numbers
Botnan, M. B. & Hirsch, C., Oct 2024, In: Journal of Applied and Computational Topology. 8, 6, p. 1465-1502 38 p.Research output: Contribution to Journal › Article › Academic › peer-review
Open Access -
On the bottleneck stability of rank decompositions of multi-parameter persistence modules
Botnan, M. B., Oppermann, S., Oudot, S. & Scoccola, L., Aug 2024, In: Advances in Mathematics. 451, p. 1-53 53 p., 109780.Research output: Contribution to Journal › Article › Academic › peer-review
Open Access -
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions
Botnan, M. B., Oppermann, S. & Oudot, S., 2024, (Accepted/In press) In: Foundations of Computational Mathematics.Research output: Contribution to Journal › Article › Academic › peer-review
Open Access -
Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
Loiseaux, D., Scoccola, L., Carrière, M., Botnan, M. B. & Oudot, S., 2024, Advances in Neural Information Processing Systems 36 (NeurIPS 2023): [Proceedings]. Curran Associates Inc., 27 p. (Advances in Neural Information Processing Systems; vol. 36).Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-review
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Universal distances for extended persistence
Bauer, U., Botnan, M. B. & Fluhr, B., 2024, (Accepted/In press) In: Journal of Applied and Computational Topology. 8, 3, p. 475-530Research output: Contribution to Journal › Article › Academic › peer-review
Open Access -
2023
Local Characterizations for Decomposability of 2-Parameter Persistence Modules
Botnan, M. B., Lebovici, V. & Oudot, S., Dec 2023, In: Algebras and Representation Theory. 26, 6, p. 3003-3046 44 p.Research output: Contribution to Journal › Article › Academic › peer-review
Open AccessFile22 Downloads (Pure) -
An introduction to multiparameter persistence
Botnan, M. & Lesnick, M., 2023, Representations of Algebras and Related Structures: International Conference on Representations of Algebras, ICRA 2020, 9–25 November 2020. Buan, A. B., Krause, H. & Solberg, Ø. (eds.). EMS Press, p. 77-150 74 p.Research output: Chapter in Book / Report / Conference proceeding › Chapter › Academic › peer-review
Open AccessFile44 Downloads (Pure) -
2022
On Rectangle-Decomposable 2-Parameter Persistence Modules
Botnan, M. B., Lebovici, V. & Oudot, S., Dec 2022, In: Discrete and Computational Geometry. 68, 4, p. 1078-1101 24 p.Research output: Contribution to Journal › Article › Academic › peer-review
Open AccessFile54 Downloads (Pure) -
Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions
Botnan, M. B., Oppermann, S. & Oudot, S., 2022, 38th International Symposium on Computational Geometry (SoCG 2022). Goaoc, X. & Kerber, M. (eds.). Dagstuhl, Germany: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, p. 1-18 18 p. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 224).Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-review
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2020
Decomposition of persistence modules
Botnan, M. B. & Crawley-Boevey, W., Nov 2020, In: Proceedings of the American Mathematical Society. 148, 11, p. 4581-4596 16 p.Research output: Contribution to Journal › Article › Academic › peer-review
Open AccessFile64 Downloads (Pure) -
Computing the Interleaving Distance is NP-Hard
Bjerkevik, H. B., Botnan, M. B. & Kerber, M., 1 Oct 2020, In: Foundations of Computational Mathematics. 20, 5, p. 1237-1271 35 p.Research output: Contribution to Journal › Article › Academic › peer-review
Open Access -
Cotorsion torsion triples and the representation theory of filtered hierarchical clustering
Bauer, U., Botnan, M. B., Oppermann, S. & Steen, J., 5 Aug 2020, In: Advances in Mathematics. 369, p. 1-51 51 p., 107171.Research output: Contribution to Journal › Article › Academic › peer-review
Open AccessFile35 Downloads (Pure) -
On rectangle-decomposable 2-parameter persistence modules
Botnan, M. B., Lebovici, V. & Oudot, S., 2020, 36th International Symposium on Computational Geometry, SoCG 2020: [Proceedings]. Cabello, S. & Chen, D. Z. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, p. 1-16 16 p. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 164).Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-review
Open Access -
2018
Algebraic stability of zigzag persistence modules
Botnan, M. B. & Lesnick, M., 18 Oct 2018, In: Algebraic and Geometric Topology. 18, 6, p. 3133-3204 72 p.Research output: Contribution to Journal › Article › Academic › peer-review
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Computational Complexity of the Interleaving Distance
Bjerkevik, H. B. & Botnan, M. B., 1 Jun 2018, 34th International Symposium on Computational Geometry (SoCG 2018). Toth, C. D. & Speckmann, B. (eds.). Dagstuhl: Schloss Dagstuhl - Leibniz-Zentrum für Informatik, p. 1-15 15 p. (Leibniz International Proceedings in Informatics (LIPIcs); vol. 99).Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-review
Open Access -
Using persistent homology to reveal hidden covariates in systems governed by the kinetic Ising model
Spreemann, G., Dunn, B., Botnan, M. B. & Baas, N., 26 Mar 2018, In: Physical Review E. 97, 3, p. 1-14 14 p., 032313.Research output: Contribution to Journal › Article › Academic › peer-review
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2017
Interval decomposition of infinite zigzag persistence modules
Botnan, M. B., 1 Jan 2017, In: Proceedings of the American Mathematical Society. 145, 8, p. 3571-3577 7 p.Research output: Contribution to Journal › Article › Academic › peer-review
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2015
Approximating persistent homology in Euclidean space through collapses
Botnan, M. B. & Spreemann, G., 1 Jan 2015, In: Applicable Algebra in Engineering, Communications and Computing. 26, 1-2, p. 73-101 29 p.Research output: Contribution to Journal › Article › Academic › peer-review