Magnus Bakke Botnan
Magnus Bakke Botnan
Assistant Professor, VU University Amsterdam
Verifisert e-postadresse på vu.nl - Startside
Tittel
Sitert av
Sitert av
År
Algebraic stability of zigzag persistence modules
M Botnan, M Lesnick
Algebraic & geometric topology 18 (6), 3133-3204, 2018
532018
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
462012
Approximating persistent homology in Euclidean space through collapses
MB Botnan, G Spreemann
Applicable Algebra in Engineering, Communication and Computing 26 (1-2), 73-101, 2015
312015
Interval decomposition of infinite zigzag persistence modules
MB Botnan
Proceedings of the American Mathematical Society 145 (8), 3571-3577, 2017
202017
Computational complexity of the interleaving distance
MB Botnan, HB Bjerkevik
Schloss Dagstuhl-Leibniz-Zentrum für Informatik, 2018
17*2018
Decomposition of persistence modules
M Botnan, W Crawley-Boevey
Proceedings of the American Mathematical Society 148 (11), 4581-4596, 2020
152020
Computing the interleaving distance is NP-hard
HB Bjerkevik, MB Botnan, M Kerber
Foundations of Computational Mathematics, 1-35, 2019
132019
Using persistent homology to reveal hidden information in neural data
G Spreemann, B Dunn, MB Botnan, NA Baas
arXiv preprint arXiv:1510.06629, 2015
112015
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
62018
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
52020
On rectangle-decomposable 2-parameter persistence modules
MB Botnan, V Lebovici, S Oudot
arXiv preprint arXiv:2002.08894, 2020
32020
Three approaches in computational geometry and topology: Persistent homology, discrete differential geometry and discrete morse theory
MB Botnan
Institutt for matematiske fag, 2011
22011
A Relative Theory of Interleavings
MB Botnan, J Curry, E Munch
arXiv preprint arXiv:2004.14286, 2020
12020
Applications and generalizations of the algebraic stability theorem
MB Botnan
NTNU, 2015
12015
Local characterizations for decomposability of 2-parameter persistence modules
MB Botnan, V Lebovici, S Oudot
arXiv preprint arXiv:2008.02345, 2020
2020
Universality of the Bottleneck Distance for Extended Persistence Diagrams
U Bauer, MB Botnan, B Fluhr
arXiv preprint arXiv:2007.01834, 2020
2020
Topological Data Analysis Spring 2020
MB Botnan
Topological Analysis of CCC Data
MB Botnan, N Baas, MR Segal, J Arsuaga
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Artikler 1–18