Magnus Bakke Botnan

According to our database, Magnus Bakke Botnan authored at least 17 papers between 2012 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

On the consistency and asymptotic normality of multiparameter persistent Betti numbers.

Magnus Bakke Botnan, Christian Hirsch

J. Appl. Comput. Topol., October, 2024

Universal distances for extended persistence.

Ulrich Bauer, Magnus Bakke Botnan, Benedikt Fluhr

J. Appl. Comput. Topol., September, 2024

Computing p-presentation distances is hard.

Håvard Bakke Bjerkevik, Magnus Bakke Botnan

CoRR, 2024

2023

Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures.

David Loiseaux, Luis Scoccola, Mathieu Carrière, Magnus Bakke Botnan, Steve Oudot

Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

2022

On Rectangle-Decomposable 2-Parameter Persistence Modules.

Magnus Bakke Botnan, Vadim Lebovici, Steve Oudot

Discret. Comput. Geom., 2022

On the bottleneck stability of rank decompositions of multi-parameter persistence modules.

Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot, Luis Scoccola

CoRR, 2022

An Introduction to Multiparameter Persistence.

Magnus Bakke Botnan, Michael Lesnick

CoRR, 2022

Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions.

Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot

Proceedings of the 38th International Symposium on Computational Geometry, 2022

2021

Structure and Interleavings of Relative Interlevel Set Cohomology.

Ulrich Bauer, Magnus Bakke Botnan, Benedikt Fluhr

CoRR, 2021

Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions.

Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot

CoRR, 2021

2020

Computing the Interleaving Distance is NP-Hard.

Håvard Bakke Bjerkevik, Magnus Bakke Botnan, Michael Kerber

Found. Comput. Math., 2020

Universality of the Bottleneck Distance for Extended Persistence Diagrams.

Ulrich Bauer, Magnus Bakke Botnan, Benedikt Fluhr

CoRR, 2020

A Relative Theory of Interleavings.

Magnus Bakke Botnan, Justin Curry, Elizabeth Munch

CoRR, 2020

2018

Computational Complexity of the Interleaving Distance.

Håvard Bakke Bjerkevik, Magnus Bakke Botnan

Proceedings of the 34th International Symposium on Computational Geometry, 2018

2016

Algebraic Stability of Zigzag Persistence Modules.

Magnus Bakke Botnan, Michael Lesnick

CoRR, 2016

2015

Approximating persistent homology in Euclidean space through collapses.

Magnus Bakke Botnan, Gard Spreemann

Appl. Algebra Eng. Commun. Comput., 2015

2012

An Efficient Embedder for BCH Coding for Steganography.

Rongyue Zhang, Vasiliy Sachnev, Magnus Bakke Botnan, Hyoung Joong Kim, Jun Heo

IEEE Trans. Inf. Theory, 2012