Follow
Magnus Bakke Botnan
Title
Cited by
Cited by
Year
Algebraic stability of zigzag persistence modules
M Botnan, M Lesnick
Algebraic & geometric topology 18 (6), 3133-3204, 2018
1122018
Decomposition of persistence modules
M Botnan, W Crawley-Boevey
Proceedings of the American Mathematical Society 148 (11), 4581-4596, 2020
952020
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
622012
Computing the interleaving distance is NP-hard
HB Bjerkevik, MB Botnan, M Kerber
Foundations of Computational Mathematics 20 (5), 1237-1271, 2020
552020
Approximating persistent homology in Euclidean space through collapses
MB Botnan, G Spreemann
Applicable Algebra in Engineering, Communication and Computing 26, 73-101, 2015
472015
An introduction to multiparameter persistence
MB Botnan, M Lesnick
arXiv preprint arXiv:2203.14289, 2022
442022
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
402020
On rectangle-decomposable 2-parameter persistence modules
MB Botnan, V Lebovici, S Oudot
Discrete & Computational Geometry 68 (4), 1078-1101, 2022
352022
Computational complexity of the interleaving distance
HB Bjerkevik, MB Botnan
arXiv preprint arXiv:1712.04281, 2017
352017
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
322021
Interval decomposition of infinite zigzag persistence modules
MB Botnan
Proceedings of the American Mathematical Society 145 (8), 3571-3577, 2017
322017
Signed barcodes for multi-parameter persistence via rank decompositions
MB Botnan, S Oppermann, S Oudot
38th International Symposium on Computational Geometry (SoCG 2022), 2022
262022
A relative theory of interleavings
MB Botnan, J Curry, E Munch
arXiv preprint arXiv:2004.14286, 2020
142020
Using persistent homology to reveal hidden information in neural data
G Spreemann, B Dunn, MB Botnan, NA Baas
arXiv preprint arXiv:1510.06629, 2015
132015
On the bottleneck stability of rank decompositions of multi-parameter persistence modules
MB Botnan, S Oppermann, S Oudot, L Scoccola
arXiv preprint arXiv:2208.00300, 2022
122022
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
112018
Local characterizations for decomposability of 2-parameter persistence modules
MB Botnan, V Lebovici, S Oudot
Algebras and Representation Theory 26 (6), 3003-3046, 2023
72023
An introduction to multiparameter persistence (2022)
MB Botnan, M Lesnick
arXiv preprint arXiv:2203.14289, 2020
72020
On the consistency and asymptotic normality of multiparameter persistent Betti numbers
MB Botnan, C Hirsch
Journal of Applied and Computational Topology, 1-38, 2022
62022
Stable vectorization of multiparameter persistent homology using signed barcodes as measures
D Loiseaux, L Scoccola, M Carrière, MB Botnan, S Oudot
Advances in Neural Information Processing Systems 36, 2024
52024
The system can't perform the operation now. Try again later.
Articles 1–20