Algebraic stability of zigzag persistence modules M Botnan, M Lesnick Algebraic & geometric topology 18 (6), 3133-3204, 2018 | 87 | 2018 |
An efficient embedder for BCH coding for steganography R Zhang, V Sachnev, MB Botnan, HJ Kim, J Heo IEEE Transactions on Information Theory 58 (12), 7272-7279, 2012 | 60 | 2012 |
Decomposition of persistence modules M Botnan, W Crawley-Boevey Proceedings of the American Mathematical Society 148 (11), 4581-4596, 2020 | 45 | 2020 |
Approximating persistent homology in Euclidean space through collapses MB Botnan, G Spreemann Applicable Algebra in Engineering, Communication and Computing 26 (1), 73-101, 2015 | 43 | 2015 |
Computing the interleaving distance is NP-hard HB Bjerkevik, MB Botnan, M Kerber Foundations of Computational Mathematics 20 (5), 1237-1271, 2020 | 36 | 2020 |
Computational complexity of the interleaving distance MB Botnan, HB Bjerkevik Schloss Dagstuhl-Leibniz-Zentrum für Informatik, 2018 | 27* | 2018 |
Interval decomposition of infinite zigzag persistence modules MB Botnan Proceedings of the American Mathematical Society 145 (8), 3571-3577, 2017 | 25 | 2017 |
On rectangle-decomposable 2-parameter persistence modules MB Botnan, V Lebovici, S Oudot Discrete & Computational Geometry, 1-24, 2022 | 22 | 2022 |
Cotorsion torsion triples and the representation theory of filtered hierarchical clustering U Bauer, MB Botnan, S Oppermann, J Steen Advances in Mathematics 369, 107171, 2020 | 19 | 2020 |
Using persistent homology to reveal hidden information in neural data G Spreemann, B Dunn, MB Botnan, NA Baas arXiv preprint arXiv:1510.06629, 2015 | 13 | 2015 |
Signed barcodes for multi-parameter persistence via rank decompositions and rank-exact resolutions MB Botnan, S Oppermann, S Oudot arXiv preprint arXiv:2107.06800, 2021 | 11 | 2021 |
Using persistent homology to reveal hidden covariates in systems governed by the kinetic ising model G Spreemann, B Dunn, MB Botnan, NA Baas Physical Review E 97 (3), 032313, 2018 | 9 | 2018 |
A relative theory of interleavings MB Botnan, J Curry, E Munch arXiv preprint arXiv:2004.14286, 2020 | 8 | 2020 |
An introduction to multiparameter persistence MB Botnan, M Lesnick arXiv preprint arXiv:2203.14289, 2022 | 4 | 2022 |
Local characterizations for decomposability of 2-parameter persistence modules MB Botnan, V Lebovici, S Oudot arXiv preprint arXiv:2008.02345, 2020 | 4 | 2020 |
Universality of the bottleneck distance for extended persistence diagrams U Bauer, MB Botnan, B Fluhr arXiv preprint arXiv:2007.01834, 2020 | 4 | 2020 |
Applications and generalizations of the algebraic stability theorem MB Botnan NTNU, 2015 | 2 | 2015 |
Three approaches in computational geometry and topology: Persistent homology, discrete differential geometry and discrete morse theory MB Botnan Institutt for matematiske fag, 2011 | 2 | 2011 |
Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions MB Botnan, S Oppermann, S Oudot 38th International Symposium on Computational Geometry (SoCG 2022), 2022 | 1 | 2022 |
Structure and Interleavings of Relative Interlevel Set Cohomology U Bauer, MB Botnan, B Fluhr arXiv preprint arXiv:2108.09298, 2021 | 1 | 2021 |