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Nina Otter
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A roadmap for the computation of persistent homology
N Otter, MA Porter, U Tillmann, P Grindrod, HA Harrington
EPJ Data Science 6, 1-38, 2017
7812017
Weisfeiler and lehman go cellular: Cw networks
C Bodnar, F Frasca, N Otter, Y Wang, P Lio, GF Montufar, M Bronstein
Advances in neural information processing systems 34, 2625-2640, 2021
2392021
Weisfeiler and lehman go topological: Message passing simplicial networks
C Bodnar, F Frasca, Y Wang, N Otter, GF Montufar, P Lio, M Bronstein
International Conference on Machine Learning, 1026-1037, 2021
2352021
Stratifying multiparameter persistent homology
HA Harrington, N Otter, H Schenck, U Tillmann
SIAM Journal on Applied Algebra and Geometry 3 (3), 439-471, 2019
712019
Cell graph neural networks enable the precise prediction of patient survival in gastric cancer
Y Wang, YG Wang, C Hu, M Li, Y Fan, N Otter, I Sam, H Gou, Y Hu, ...
NPJ precision oncology 6 (1), 45, 2022
322022
Magnitude meets persistence. Homology theories for filtered simplicial sets
N Otter
arXiv preprint arXiv:1807.01540, 2018
262018
On the effectiveness of persistent homology
R Turkes, GF Montufar, N Otter
Advances in Neural Information Processing Systems 35, 35432-35448, 2022
172022
Operads and phylogenetic trees
JC Baez, N Otter
arXiv preprint arXiv:1512.03337, 2015
152015
A topological perspective on weather regimes
K Strommen, M Chantry, J Dorrington, N Otter
Climate Dynamics 60 (5), 1415-1445, 2023
142023
Can neural networks learn persistent homology features?
G Montúfar, N Otter, Y Wang
arXiv preprint arXiv:2011.14688, 2020
132020
Amplitudes on abelian categories
B Giunti, JS Nolan, N Otter, L Waas
arXiv e-prints, arXiv: 2107.09036, 2021
122021
Cell graph neural networks enable the digital staging of tumor microenvironment and precise prediction of patient survival in gastric cancer
Y Wang, YG Wang, C Hu, M Li, Y Fan, N Otter, I Sam, H Gou, Y Hu, ...
MedRxiv, 2021.09. 01.21262086, 2021
92021
A roadmap for the computation of persistent homology. EPJ Data Sci. 6 (1), 17 (2017)
N Otter, MA Porter, U Tillmann, P Grindrod, HA Harrington
arXiv preprint arXiv:1506.08903, 0
8
Alpha magnitude
M O'Malley, S Kalisnik, N Otter
Journal of Pure and Applied Algebra 227 (11), 107396, 2023
52023
A unified framework for equivalences in social networks
N Otter, MA Porter
arXiv preprint arXiv:2006.10733, 2020
52020
A roadmap for the computation of persistent homology. EPJ Data Sci. 6 (1), 1–38 (2017)
N Otter, MA Porter, U Tillmann, P Grindrod, HA Harrington
4
A topological perspective on regimes in dynamical systems
K Strommen, M Chantry, J Dorrington, N Otter
arXiv preprint arXiv:2104.03196, 2021
32021
Applied Category Theory in Chemistry, Computing, and Social Networks
J Baez, S Cho, D Cicala, N Otter, V de Paiva
Not. Am. Math. Soc 69, 292-297, 2022
12022
Climate Science at the Interface Between Topological Data Analysis and Dynamical Systems Theory
D Faranda, T Lacombe, N Otter, K Strommen
Notices of the American Mathematical Society 71, 267-271, 2024
2024
Pull-back Geometry of Persistent Homology Encodings
S Liang, R Turkeš, J Li, N Otter, G Montúfar
arXiv preprint arXiv:2310.07073, 2023
2023
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