---
_id: '55575'
author:
- first_name: Johanna
full_name: Jakob, Johanna
last_name: Jakob
citation:
ama: Jakob J. Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen. Published
online 2023.
apa: Jakob, J. (2023). Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen.
bibtex: '@article{Jakob_2023, title={Der Whitneysche Fortsetzungssatz für vektorwertige
Funktionen}, author={Jakob, Johanna}, year={2023} }'
chicago: Jakob, Johanna. “Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen,”
2023.
ieee: J. Jakob, “Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen.”
2023.
mla: Jakob, Johanna. Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen.
2023.
short: J. Jakob, (2023).
date_created: 2024-08-09T09:15:06Z
date_updated: 2024-08-09T09:27:43Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- '2307.03473'
language:
- iso: eng
status: public
title: Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen
type: preprint
user_id: '178'
year: '2023'
...
---
_id: '42163'
abstract:
- lang: eng
text: 'The article shows how to learn models of dynamical systems from data which
are governed by an unknown variational PDE. Rather than employing reduction techniques,
we learn a discrete field theory governed by a discrete Lagrangian density $L_d$
that is modelled as a neural network. Careful regularisation of the loss function
for training $L_d$ is necessary to obtain a field theory that is suitable for
numerical computations: we derive a regularisation term which optimises the solvability
of the discrete Euler--Lagrange equations. Secondly, we develop a method to find
solutions to machine learned discrete field theories which constitute travelling
waves of the underlying continuous PDE.'
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Offen C, Ober-Blöbaum S. Learning discrete Lagrangians for variational PDEs
from data and detection of travelling waves. In: Nielsen F, Barbaresco F, eds.
Geometric Science of Information. Vol 14071. Lecture Notes in Computer
Science (LNCS). Springer, Cham.; 2023:569-579. doi:10.1007/978-3-031-38271-0_57'
apa: Offen, C., & Ober-Blöbaum, S. (2023). Learning discrete Lagrangians for
variational PDEs from data and detection of travelling waves. In F. Nielsen &
F. Barbaresco (Eds.), Geometric Science of Information (Vol. 14071, pp.
569–579). Springer, Cham. https://doi.org/10.1007/978-3-031-38271-0_57
bibtex: '@inproceedings{Offen_Ober-Blöbaum_2023, series={Lecture Notes in Computer
Science (LNCS)}, title={Learning discrete Lagrangians for variational PDEs from
data and detection of travelling waves}, volume={14071}, DOI={10.1007/978-3-031-38271-0_57},
booktitle={Geometric Science of Information}, publisher={Springer, Cham.}, author={Offen,
Christian and Ober-Blöbaum, Sina}, editor={Nielsen, F and Barbaresco, F}, year={2023},
pages={569–579}, collection={Lecture Notes in Computer Science (LNCS)} }'
chicago: Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians
for Variational PDEs from Data and Detection of Travelling Waves.” In Geometric
Science of Information, edited by F Nielsen and F Barbaresco, 14071:569–79.
Lecture Notes in Computer Science (LNCS). Springer, Cham., 2023. https://doi.org/10.1007/978-3-031-38271-0_57.
ieee: 'C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational
PDEs from data and detection of travelling waves,” in Geometric Science of
Information, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071,
pp. 569–579, doi: 10.1007/978-3-031-38271-0_57.'
mla: Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for
Variational PDEs from Data and Detection of Travelling Waves.” Geometric Science
of Information, edited by F Nielsen and F Barbaresco, vol. 14071, Springer,
Cham., 2023, pp. 569–79, doi:10.1007/978-3-031-38271-0_57.
short: 'C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric
Science of Information, Springer, Cham., 2023, pp. 569–579.'
conference:
end_date: 2023-09-01
location: Saint-Malo, Palais du Grand Large, France
name: ' GSI''23 6th International Conference on Geometric Science of Information'
start_date: 2023-08-30
date_created: 2023-02-16T11:32:48Z
date_updated: 2024-08-12T13:46:29Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1007/978-3-031-38271-0_57
editor:
- first_name: F
full_name: Nielsen, F
last_name: Nielsen
- first_name: F
full_name: Barbaresco, F
last_name: Barbaresco
external_id:
arxiv:
- '2302.08232 '
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2023-08-02T12:04:17Z
date_updated: 2023-08-02T12:04:17Z
description: |-
The article shows how to learn models of dynamical systems
from data which are governed by an unknown variational PDE. Rather
than employing reduction techniques, we learn a discrete field theory
governed by a discrete Lagrangian density Ld that is modelled as a neural network. Careful regularisation of the loss function for training Ld is
necessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of
the discrete Euler–Lagrange equations. Secondly, we develop a method to
find solutions to machine learned discrete field theories which constitute
travelling waves of the underlying continuous PDE.
file_id: '46273'
file_name: LDensityLearning.pdf
file_size: 1938962
relation: main_file
title: Learning discrete Lagrangians for variational PDEs from data and detection
of travelling waves
file_date_updated: 2023-08-02T12:04:17Z
has_accepted_license: '1'
intvolume: ' 14071'
keyword:
- System identification
- discrete Lagrangians
- travelling waves
language:
- iso: eng
oa: '1'
page: 569-579
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Geometric Science of Information
publication_identifier:
eisbn:
- 978-3-031-38271-0
publication_status: published
publisher: Springer, Cham.
quality_controlled: '1'
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/Christian-Offen/LagrangianDensityML
series_title: Lecture Notes in Computer Science (LNCS)
status: public
title: Learning discrete Lagrangians for variational PDEs from data and detection
of travelling waves
type: conference
user_id: '85279'
volume: 14071
year: '2023'
...
---
_id: '37469'
citation:
ama: Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C, eds. Practice-Oriented
Research in Tertiary Mathematics Education. Springer International Publishing;
2023. doi:10.1007/978-3-031-14175-1
apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., & Winsløw, C.
(Eds.). (2023). Practice-Oriented Research in Tertiary Mathematics Education.
Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1
bibtex: '@book{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham},
title={Practice-Oriented Research in Tertiary Mathematics Education}, DOI={10.1007/978-3-031-14175-1},
publisher={Springer International Publishing}, year={2023} }'
chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen,
and Carl Winsløw, eds. Practice-Oriented Research in Tertiary Mathematics Education.
Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1.'
ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, Eds.,
Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer
International Publishing, 2023.'
mla: Biehler, Rolf, et al., editors. Practice-Oriented Research in Tertiary Mathematics
Education. Springer International Publishing, 2023, doi:10.1007/978-3-031-14175-1.
short: R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, eds.,
Practice-Oriented Research in Tertiary Mathematics Education, Springer International
Publishing, Cham, 2023.
date_created: 2023-01-18T22:17:58Z
date_updated: 2023-01-18T22:47:41Z
department:
- _id: '10'
doi: 10.1007/978-3-031-14175-1
editor:
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Ghislaine
full_name: Gueudet, Ghislaine
last_name: Gueudet
- first_name: Chris
full_name: Rasmussen, Chris
last_name: Rasmussen
- first_name: Carl
full_name: Winsløw, Carl
last_name: Winsløw
place: Cham
publication_identifier:
isbn:
- '9783031141744'
- '9783031141751'
issn:
- 1869-4918
- 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Practice-Oriented Research in Tertiary Mathematics Education
type: book_editor
user_id: '30933'
year: '2023'
...
---
_id: '34814'
article_type: original
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus.
Canadian Journal of Mathematics. 2023;75(1):170-201. doi:10.4153/s0008414x21000596
apa: Hanusch, M. (2023). A $C^k$-seeley-extension-theorem for Bastiani’s differential
calculus. Canadian Journal of Mathematics, 75(1), 170–201. https://doi.org/10.4153/s0008414x21000596
bibtex: '@article{Hanusch_2023, title={A $C^k$-seeley-extension-theorem for Bastiani’s
differential calculus}, volume={75}, DOI={10.4153/s0008414x21000596},
number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical
Society}, author={Hanusch, Maximilian}, year={2023}, pages={170–201} }'
chicago: 'Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s
Differential Calculus.” Canadian Journal of Mathematics 75, no. 1 (2023):
170–201. https://doi.org/10.4153/s0008414x21000596.'
ieee: 'M. Hanusch, “A $C^k$-seeley-extension-theorem for Bastiani’s differential
calculus,” Canadian Journal of Mathematics, vol. 75, no. 1, pp. 170–201,
2023, doi: 10.4153/s0008414x21000596.'
mla: Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential
Calculus.” Canadian Journal of Mathematics, vol. 75, no. 1, Canadian Mathematical
Society, 2023, pp. 170–201, doi:10.4153/s0008414x21000596.
short: M. Hanusch, Canadian Journal of Mathematics 75 (2023) 170–201.
date_created: 2022-12-22T09:16:48Z
date_updated: 2023-02-22T11:38:32Z
department:
- _id: '93'
doi: 10.4153/s0008414x21000596
intvolume: ' 75'
issue: '1'
keyword:
- extension of differentiable maps
language:
- iso: eng
page: 170-201
project:
- _id: '161'
name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)'
publication: Canadian Journal of Mathematics
publication_identifier:
issn:
- 0008-414X
- 1496-4279
publication_status: published
publisher: Canadian Mathematical Society
status: public
title: A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus
type: journal_article
user_id: '30905'
volume: 75
year: '2023'
...
---
_id: '27426'
abstract:
- lang: eng
text: "Regularization is used in many different areas of optimization when solutions\r\nare
sought which not only minimize a given function, but also possess a certain\r\ndegree
of regularity. Popular applications are image denoising, sparse\r\nregression
and machine learning. Since the choice of the regularization\r\nparameter is crucial
but often difficult, path-following methods are used to\r\napproximate the entire
regularization path, i.e., the set of all possible\r\nsolutions for all regularization
parameters. Due to their nature, the\r\ndevelopment of these methods requires
structural results about the\r\nregularization path. The goal of this article
is to derive these results for\r\nthe case of a smooth objective function which
is penalized by a piecewise\r\ndifferentiable regularization term. We do this
by treating regularization as a\r\nmultiobjective optimization problem. Our results
suggest that even in this\r\ngeneral case, the regularization path is piecewise
smooth. Moreover, our theory\r\nallows for a classification of the nonsmooth features
that occur in between\r\nsmooth parts. This is demonstrated in two applications,
namely support-vector\r\nmachines and exact penalty methods."
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Katharina
full_name: Bieker, Katharina
id: '32829'
last_name: Bieker
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Gebken B, Bieker K, Peitz S. On the structure of regularization paths for piecewise
differentiable regularization terms. Journal of Global Optimization. 2023;85(3):709-741.
doi:10.1007/s10898-022-01223-2
apa: Gebken, B., Bieker, K., & Peitz, S. (2023). On the structure of regularization
paths for piecewise differentiable regularization terms. Journal of Global
Optimization, 85(3), 709–741. https://doi.org/10.1007/s10898-022-01223-2
bibtex: '@article{Gebken_Bieker_Peitz_2023, title={On the structure of regularization
paths for piecewise differentiable regularization terms}, volume={85}, DOI={10.1007/s10898-022-01223-2},
number={3}, journal={Journal of Global Optimization}, author={Gebken, Bennet and
Bieker, Katharina and Peitz, Sebastian}, year={2023}, pages={709–741} }'
chicago: 'Gebken, Bennet, Katharina Bieker, and Sebastian Peitz. “On the Structure
of Regularization Paths for Piecewise Differentiable Regularization Terms.” Journal
of Global Optimization 85, no. 3 (2023): 709–41. https://doi.org/10.1007/s10898-022-01223-2.'
ieee: 'B. Gebken, K. Bieker, and S. Peitz, “On the structure of regularization paths
for piecewise differentiable regularization terms,” Journal of Global Optimization,
vol. 85, no. 3, pp. 709–741, 2023, doi: 10.1007/s10898-022-01223-2.'
mla: Gebken, Bennet, et al. “On the Structure of Regularization Paths for Piecewise
Differentiable Regularization Terms.” Journal of Global Optimization, vol.
85, no. 3, 2023, pp. 709–41, doi:10.1007/s10898-022-01223-2.
short: B. Gebken, K. Bieker, S. Peitz, Journal of Global Optimization 85 (2023)
709–741.
date_created: 2021-11-15T09:24:59Z
date_updated: 2023-03-11T17:16:33Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/s10898-022-01223-2
intvolume: ' 85'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/content/pdf/10.1007/s10898-022-01223-2.pdf
oa: '1'
page: 709-741
publication: Journal of Global Optimization
status: public
title: On the structure of regularization paths for piecewise differentiable regularization
terms
type: journal_article
user_id: '47427'
volume: 85
year: '2023'
...
---
_id: '31849'
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Hoffmann M, Biehler R. Student Teachers ’ Knowledge of Congruence before a
University Course on Geometry. In: Trigueros M, Barquero B, Hochmuth R, Peters
J, eds. Proceedings of the Fourth Conference of the International Network for
Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022).
University of Hannover and INDRUM.; 2023.'
apa: Hoffmann, M., & Biehler, R. (2023). Student Teachers ’ Knowledge of Congruence
before a University Course on Geometry. In M. Trigueros, B. Barquero, R. Hochmuth,
& J. Peters (Eds.), Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022). University of Hannover and INDRUM.
bibtex: '@inproceedings{Hoffmann_Biehler_2023, place={Hannover}, title={Student
Teachers ’ Knowledge of Congruence before a University Course on Geometry}, booktitle={Proceedings
of the Fourth Conference of the International Network for Didactic Research in
University Mathematics (INDRUM 2022, 19-22 October 2022)}, publisher={University
of Hannover and INDRUM.}, author={Hoffmann, Max and Biehler, Rolf}, editor={Trigueros,
Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}, year={2023}
}'
chicago: 'Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence
before a University Course on Geometry.” In Proceedings of the Fourth Conference
of the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022), edited by Marı́a Trigueros, Berta Barquero, Reinhard
Hochmuth, and Jana Peters. Hannover: University of Hannover and INDRUM., 2023.'
ieee: M. Hoffmann and R. Biehler, “Student Teachers ’ Knowledge of Congruence before
a University Course on Geometry,” in Proceedings of the Fourth Conference of
the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022), 2023.
mla: Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence
before a University Course on Geometry.” Proceedings of the Fourth Conference
of the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022), edited by Marı́a Trigueros et al., University of
Hannover and INDRUM., 2023.
short: 'M. Hoffmann, R. Biehler, in: M. Trigueros, B. Barquero, R. Hochmuth, J.
Peters (Eds.), Proceedings of the Fourth Conference of the International Network
for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022),
University of Hannover and INDRUM., Hannover, 2023.'
date_created: 2022-06-12T11:07:34Z
date_updated: 2023-03-25T10:11:35Z
ddc:
- '370'
- '510'
department:
- _id: '97'
editor:
- first_name: Marı́a
full_name: Trigueros, Marı́a
last_name: Trigueros
- first_name: Berta
full_name: Barquero, Berta
last_name: Barquero
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Jana
full_name: Peters, Jana
last_name: Peters
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2023-03-25T10:01:03Z
date_updated: 2023-03-25T10:01:03Z
file_id: '43096'
file_name: HoffmannBiehler2022_indrum_congruence.pdf
file_size: 201942
relation: main_file
success: 1
file_date_updated: 2023-03-25T10:01:03Z
has_accepted_license: '1'
keyword:
- Teaching and learning of specific topics in university mathematics
- Transition to
- across and from university mathematics
- Student Teachers
- Geometry
- Congruence
- Double Discontinuity.
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.univ-reims.fr/INDRUM2022/
oa: '1'
place: Hannover
publication: Proceedings of the Fourth Conference of the International Network for
Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)
publication_status: published
publisher: University of Hannover and INDRUM.
quality_controlled: '1'
status: public
title: Student Teachers ’ Knowledge of Congruence before a University Course on Geometry
type: conference
user_id: '32202'
year: '2023'
...
---
_id: '43097'
author:
- first_name: Ignasio
full_name: Florensa, Ignasio
last_name: Florensa
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Avenilde
full_name: Romo Vázquez, Avenilde
last_name: Romo Vázquez
- first_name: Michelle
full_name: Zandieh, Michelle
last_name: Zandieh
- first_name: Rafael
full_name: Martínez-Planell, Rafael
last_name: Martínez-Planell
citation:
ama: 'Florensa I, Hoffmann M, Romo Vázquez A, Zandieh M, Martínez-Planell R. Innovations
in university teaching based on mathematic education research. In: Trigueros M,
Barquero B, Hochmuth R, Peters J, eds. Proceedings of the Fourth Conference
of the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022). ; 2023.'
apa: Florensa, I., Hoffmann, M., Romo Vázquez, A., Zandieh, M., & Martínez-Planell,
R. (2023). Innovations in university teaching based on mathematic education research.
In M. Trigueros, B. Barquero, R. Hochmuth, & J. Peters (Eds.), Proceedings
of the Fourth Conference of the International Network for Didactic Research in
University Mathematics (INDRUM 2022, 19-22 October 2022).
bibtex: '@inproceedings{Florensa_Hoffmann_Romo Vázquez_Zandieh_Martínez-Planell_2023,
place={Hannover}, title={Innovations in university teaching based on mathematic
education research}, booktitle={Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022)}, author={Florensa, Ignasio and Hoffmann, Max and Romo Vázquez, Avenilde
and Zandieh, Michelle and Martínez-Planell, Rafael}, editor={Trigueros, Marı́a
and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}, year={2023} }'
chicago: Florensa, Ignasio, Max Hoffmann, Avenilde Romo Vázquez, Michelle Zandieh,
and Rafael Martínez-Planell. “Innovations in University Teaching Based on Mathematic
Education Research.” In Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022), edited by Marı́a Trigueros, Berta Barquero, Reinhard Hochmuth, and
Jana Peters. Hannover, 2023.
ieee: I. Florensa, M. Hoffmann, A. Romo Vázquez, M. Zandieh, and R. Martínez-Planell,
“Innovations in university teaching based on mathematic education research,” in
Proceedings of the Fourth Conference of the International Network for Didactic
Research in University Mathematics (INDRUM 2022, 19-22 October 2022), 2023.
mla: Florensa, Ignasio, et al. “Innovations in University Teaching Based on Mathematic
Education Research.” Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022), edited by Marı́a Trigueros et al., 2023.
short: 'I. Florensa, M. Hoffmann, A. Romo Vázquez, M. Zandieh, R. Martínez-Planell,
in: M. Trigueros, B. Barquero, R. Hochmuth, J. Peters (Eds.), Proceedings of the
Fourth Conference of the International Network for Didactic Research in University
Mathematics (INDRUM 2022, 19-22 October 2022), Hannover, 2023.'
date_created: 2023-03-25T10:09:06Z
date_updated: 2023-03-25T10:10:58Z
ddc:
- '370'
- '510'
department:
- _id: '97'
editor:
- first_name: Marı́a
full_name: Trigueros, Marı́a
last_name: Trigueros
- first_name: Berta
full_name: Barquero, Berta
last_name: Barquero
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Jana
full_name: Peters, Jana
last_name: Peters
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2023-03-25T10:07:54Z
date_updated: 2023-03-25T10:07:54Z
file_id: '43098'
file_name: 2022_FlorensaEtAl_indrum_panelInnovations.pdf
file_size: 642388
relation: main_file
success: 1
file_date_updated: 2023-03-25T10:07:54Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.univ-reims.fr/INDRUM2022/
oa: '1'
place: Hannover
publication: Proceedings of the Fourth Conference of the International Network for
Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)
quality_controlled: '1'
status: public
title: Innovations in university teaching based on mathematic education research
type: conference
user_id: '32202'
year: '2023'
...
---
_id: '43105'
article_number: '103868'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Mario
full_name: Fuest, Mario
last_name: Fuest
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Masaaki
full_name: Mizukami, Masaaki
last_name: Mizukami
citation:
ama: 'Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis
systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real
World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868'
apa: 'Black, T., Fuest, M., Lankeit, J., & Mizukami, M. (2023). Possible points
of blow-up in chemotaxis systems with spatially heterogeneous logistic source.
Nonlinear Analysis: Real World Applications, 73, Article 103868.
https://doi.org/10.1016/j.nonrwa.2023.103868'
bibtex: '@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up
in chemotaxis systems with spatially heterogeneous logistic source}, volume={73},
DOI={10.1016/j.nonrwa.2023.103868},
number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami,
Masaaki}, year={2023} }'
chicago: 'Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible
Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic
Source.” Nonlinear Analysis: Real World Applications 73 (2023). https://doi.org/10.1016/j.nonrwa.2023.103868.'
ieee: 'T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up
in chemotaxis systems with spatially heterogeneous logistic source,” Nonlinear
Analysis: Real World Applications, vol. 73, Art. no. 103868, 2023, doi: 10.1016/j.nonrwa.2023.103868.'
mla: 'Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with
Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications,
vol. 73, 103868, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2023.103868.'
short: 'T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World
Applications 73 (2023).'
date_created: 2023-03-27T07:25:58Z
date_updated: 2023-03-27T07:27:03Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.nonrwa.2023.103868
intvolume: ' 73'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
issn:
- 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Possible points of blow-up in chemotaxis systems with spatially heterogeneous
logistic source
type: journal_article
user_id: '23686'
volume: 73
year: '2023'
...
---
_id: '43227'
author:
- first_name: Vivian
full_name: Vitt, Vivian
last_name: Vitt
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: 'Vitt V, Häsel-Weide U. Reziprokes Peer-Tutoring zur Förderung von Schüler*innen
mit Schwierigkeiten beim Mathematiklernen. In: Mathematica Didactica, 46.
; 2023. doi:https://doi.org/10.18716/ojs/md/2023.1671'
apa: Vitt, V., & Häsel-Weide, U. (2023). Reziprokes Peer-Tutoring zur Förderung
von Schüler*innen mit Schwierigkeiten beim Mathematiklernen. In Mathematica
Didactica, 46. https://doi.org/10.18716/ojs/md/2023.1671
bibtex: '@inbook{Vitt_Häsel-Weide_2023, title={Reziprokes Peer-Tutoring zur Förderung
von Schüler*innen mit Schwierigkeiten beim Mathematiklernen.}, DOI={https://doi.org/10.18716/ojs/md/2023.1671},
booktitle={Mathematica Didactica, 46}, author={Vitt, Vivian and Häsel-Weide, Uta},
year={2023} }'
chicago: Vitt, Vivian, and Uta Häsel-Weide. “Reziprokes Peer-Tutoring Zur Förderung
von Schüler*innen Mit Schwierigkeiten Beim Mathematiklernen.” In Mathematica
Didactica, 46, 2023. https://doi.org/10.18716/ojs/md/2023.1671.
ieee: V. Vitt and U. Häsel-Weide, “Reziprokes Peer-Tutoring zur Förderung von Schüler*innen
mit Schwierigkeiten beim Mathematiklernen.,” in Mathematica Didactica, 46,
2023.
mla: Vitt, Vivian, and Uta Häsel-Weide. “Reziprokes Peer-Tutoring Zur Förderung
von Schüler*innen Mit Schwierigkeiten Beim Mathematiklernen.” Mathematica Didactica,
46, 2023, doi:https://doi.org/10.18716/ojs/md/2023.1671.
short: 'V. Vitt, U. Häsel-Weide, in: Mathematica Didactica, 46, 2023.'
date_created: 2023-03-30T10:06:24Z
date_updated: 2023-03-30T10:06:53Z
department:
- _id: '543'
doi: https://doi.org/10.18716/ojs/md/2023.1671
language:
- iso: eng
publication: Mathematica Didactica, 46
status: public
title: Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten
beim Mathematiklernen.
type: book_chapter
user_id: '44184'
year: '2023'
...
---
_id: '34832'
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. The Lax Equation and Weak Regularity of Asymptotic Estimate Lie
Groups. Annals of Global Analysis and Geometry. 2023;63(21). doi:10.1007/s10455-023-09888-y
apa: Hanusch, M. (2023). The Lax Equation and Weak Regularity of Asymptotic Estimate
Lie Groups. Annals of Global Analysis and Geometry, 63(21). https://doi.org/10.1007/s10455-023-09888-y
bibtex: '@article{Hanusch_2023, title={The Lax Equation and Weak Regularity of Asymptotic
Estimate Lie Groups}, volume={63}, DOI={10.1007/s10455-023-09888-y},
number={21}, journal={Annals of Global Analysis and Geometry}, author={Hanusch,
Maximilian}, year={2023} }'
chicago: Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic
Estimate Lie Groups.” Annals of Global Analysis and Geometry 63, no. 21
(2023). https://doi.org/10.1007/s10455-023-09888-y.
ieee: 'M. Hanusch, “The Lax Equation and Weak Regularity of Asymptotic Estimate
Lie Groups,” Annals of Global Analysis and Geometry, vol. 63, no. 21, 2023,
doi: 10.1007/s10455-023-09888-y.'
mla: Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate
Lie Groups.” Annals of Global Analysis and Geometry, vol. 63, no. 21, 2023,
doi:10.1007/s10455-023-09888-y.
short: M. Hanusch, Annals of Global Analysis and Geometry 63 (2023).
date_created: 2022-12-22T09:45:34Z
date_updated: 2023-04-05T18:18:24Z
department:
- _id: '93'
doi: 10.1007/s10455-023-09888-y
intvolume: ' 63'
issue: '21'
keyword:
- Lax equation
- generalized Baker-Campbell-Dynkin-Hausdorff formula
- regularity of Lie groups
language:
- iso: eng
project:
- _id: '161'
name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)'
publication: Annals of Global Analysis and Geometry
publication_status: published
status: public
title: The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups
type: journal_article
user_id: '30905'
volume: 63
year: '2023'
...
---
_id: '44857'
abstract:
- lang: eng
text: Ancestral reconstruction is a classic task in comparative genomics. Here,
we study the genome median problem, a related computational problem which, given
a set of three or more genomes, asks to find a new genome that minimizes the sum
of pairwise distances between it and the given genomes. The distance stands for
the amount of evolution observed at the genome level, for which we determine the
minimum number of rearrangement operations necessary to transform one genome into
the other. For almost all rearrangement operations the median problem is NP-hard,
with the exception of the breakpoint median that can be constructed efficiently
for multichromosomal circular and mixed genomes. In this work, we study the median
problem under a restricted rearrangement measure called c4-distance, which is
closely related to the breakpoint and the DCJ distance. We identify tight bounds
and decomposers of the c4-median and develop algorithms for its construction,
one exact ILP-based and three combinatorial heuristics. Subsequently, we perform
experiments on simulated data sets. Our results suggest that the c4-distance is
useful for the study the genome median problem, from theoretical and practical
perspectives.
author:
- first_name: Helmuth O.M.
full_name: Silva, Helmuth O.M.
last_name: Silva
- first_name: Diego P.
full_name: Rubert, Diego P.
last_name: Rubert
- first_name: Eloi
full_name: Araujo, Eloi
last_name: Araujo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Daniel
full_name: Doerr, Daniel
last_name: Doerr
- first_name: Fábio V.
full_name: Martinez, Fábio V.
last_name: Martinez
citation:
ama: Silva HOM, Rubert DP, Araujo E, Steffen E, Doerr D, Martinez FV. Algorithms
for the genome median under a restricted measure of rearrangement. RAIRO -
Operations Research. 2023;57(3):1045-1058. doi:10.1051/ro/2023052
apa: Silva, H. O. M., Rubert, D. P., Araujo, E., Steffen, E., Doerr, D., & Martinez,
F. V. (2023). Algorithms for the genome median under a restricted measure of rearrangement.
RAIRO - Operations Research, 57(3), 1045–1058. https://doi.org/10.1051/ro/2023052
bibtex: '@article{Silva_Rubert_Araujo_Steffen_Doerr_Martinez_2023, title={Algorithms
for the genome median under a restricted measure of rearrangement}, volume={57},
DOI={10.1051/ro/2023052}, number={3},
journal={RAIRO - Operations Research}, publisher={EDP Sciences}, author={Silva,
Helmuth O.M. and Rubert, Diego P. and Araujo, Eloi and Steffen, Eckhard and Doerr,
Daniel and Martinez, Fábio V.}, year={2023}, pages={1045–1058} }'
chicago: 'Silva, Helmuth O.M., Diego P. Rubert, Eloi Araujo, Eckhard Steffen, Daniel
Doerr, and Fábio V. Martinez. “Algorithms for the Genome Median under a Restricted
Measure of Rearrangement.” RAIRO - Operations Research 57, no. 3 (2023):
1045–58. https://doi.org/10.1051/ro/2023052.'
ieee: 'H. O. M. Silva, D. P. Rubert, E. Araujo, E. Steffen, D. Doerr, and F. V.
Martinez, “Algorithms for the genome median under a restricted measure of rearrangement,”
RAIRO - Operations Research, vol. 57, no. 3, pp. 1045–1058, 2023, doi:
10.1051/ro/2023052.'
mla: Silva, Helmuth O. M., et al. “Algorithms for the Genome Median under a Restricted
Measure of Rearrangement.” RAIRO - Operations Research, vol. 57, no. 3,
EDP Sciences, 2023, pp. 1045–58, doi:10.1051/ro/2023052.
short: H.O.M. Silva, D.P. Rubert, E. Araujo, E. Steffen, D. Doerr, F.V. Martinez,
RAIRO - Operations Research 57 (2023) 1045–1058.
date_created: 2023-05-16T08:48:22Z
date_updated: 2023-05-16T08:49:30Z
department:
- _id: '542'
doi: 10.1051/ro/2023052
intvolume: ' 57'
issue: '3'
keyword:
- Management Science and Operations Research
- Computer Science Applications
- Theoretical Computer Science
language:
- iso: eng
page: 1045-1058
publication: RAIRO - Operations Research
publication_identifier:
issn:
- 0399-0559
- 2804-7303
publication_status: published
publisher: EDP Sciences
status: public
title: Algorithms for the genome median under a restricted measure of rearrangement
type: journal_article
user_id: '15540'
volume: 57
year: '2023'
...
---
_id: '44859'
author:
- first_name: Yulai
full_name: Ma, Yulai
id: '92748'
last_name: Ma
- first_name: Davide
full_name: Mattiolo, Davide
last_name: Mattiolo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Sets of r-graphs that color all r-graphs.
arXiv:230508619. Published online 2023.
apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2023). Sets of r-graphs
that color all r-graphs. In arXiv:2305.08619.
bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2023, title={Sets of r-graphs that color
all r-graphs}, journal={arXiv:2305.08619}, author={Ma, Yulai and Mattiolo, Davide
and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023} }'
chicago: Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf.
“Sets of R-Graphs That Color All r-Graphs.” ArXiv:2305.08619, 2023.
ieee: Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Sets of r-graphs that color
all r-graphs,” arXiv:2305.08619. 2023.
mla: Ma, Yulai, et al. “Sets of R-Graphs That Color All r-Graphs.” ArXiv:2305.08619,
2023.
short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, ArXiv:2305.08619 (2023).
date_created: 2023-05-16T10:07:47Z
date_updated: 2023-05-16T11:17:26Z
department:
- _id: '542'
external_id:
arxiv:
- '2305.08619'
language:
- iso: eng
publication: arXiv:2305.08619
status: public
title: Sets of r-graphs that color all r-graphs
type: preprint
user_id: '15540'
year: '2023'
...
---
_id: '34833'
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. Decompositions of Analytic 1-Manifolds. Indagationes Mathematicae.
2023;34(4):752-811. doi:10.1016/j.indag.2023.02.003
apa: Hanusch, M. (2023). Decompositions of Analytic 1-Manifolds. Indagationes
Mathematicae., 34(4), 752–811. https://doi.org/10.1016/j.indag.2023.02.003
bibtex: '@article{Hanusch_2023, title={Decompositions of Analytic 1-Manifolds},
volume={34}, DOI={10.1016/j.indag.2023.02.003},
number={4}, journal={Indagationes Mathematicae.}, author={Hanusch, Maximilian},
year={2023}, pages={752–811} }'
chicago: 'Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes
Mathematicae. 34, no. 4 (2023): 752–811. https://doi.org/10.1016/j.indag.2023.02.003.'
ieee: 'M. Hanusch, “Decompositions of Analytic 1-Manifolds,” Indagationes Mathematicae.,
vol. 34, no. 4, pp. 752–811, 2023, doi: 10.1016/j.indag.2023.02.003.'
mla: Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes
Mathematicae., vol. 34, no. 4, 2023, pp. 752–811, doi:10.1016/j.indag.2023.02.003.
short: M. Hanusch, Indagationes Mathematicae. 34 (2023) 752–811.
date_created: 2022-12-22T09:46:36Z
date_updated: 2023-05-25T07:32:38Z
department:
- _id: '93'
doi: 10.1016/j.indag.2023.02.003
intvolume: ' 34'
issue: '4'
keyword:
- Lie group actions and analytic 1-submanifolds
language:
- iso: eng
page: 752-811
publication: Indagationes Mathematicae.
publication_status: published
status: public
title: Decompositions of Analytic 1-Manifolds
type: journal_article
user_id: '30905'
volume: 34
year: '2023'
...
---
_id: '45498'
abstract:
- lang: eng
text: "We present a novel method for high-order phase reduction in networks of\r\nweakly
coupled oscillators and, more generally, perturbations of reducible\r\nnormally
hyperbolic (quasi-)periodic tori. Our method works by computing an\r\nasymptotic
expansion for an embedding of the perturbed invariant torus, as well\r\nas for
the reduced phase dynamics in local coordinates. Both can be determined\r\nto
arbitrary degrees of accuracy, and we show that the phase dynamics may\r\ndirectly
be obtained in normal form. We apply the method to predict remote\r\nsynchronisation
in a chain of coupled Stuart-Landau oscillators."
author:
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
- first_name: Eddie
full_name: Nijholt, Eddie
last_name: Nijholt
- first_name: Bob
full_name: Rink, Bob
last_name: Rink
citation:
ama: von der Gracht S, Nijholt E, Rink B. A parametrisation method for high-order
phase reduction in coupled oscillator networks. arXiv:230603320.
apa: von der Gracht, S., Nijholt, E., & Rink, B. (n.d.). A parametrisation method
for high-order phase reduction in coupled oscillator networks. In arXiv:2306.03320.
bibtex: '@article{von der Gracht_Nijholt_Rink, title={A parametrisation method for
high-order phase reduction in coupled oscillator networks}, journal={arXiv:2306.03320},
author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob} }'
chicago: Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “A Parametrisation
Method for High-Order Phase Reduction in Coupled Oscillator Networks.” ArXiv:2306.03320,
n.d.
ieee: S. von der Gracht, E. Nijholt, and B. Rink, “A parametrisation method for
high-order phase reduction in coupled oscillator networks,” arXiv:2306.03320.
.
mla: von der Gracht, Sören, et al. “A Parametrisation Method for High-Order Phase
Reduction in Coupled Oscillator Networks.” ArXiv:2306.03320.
short: S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
date_created: 2023-06-07T07:57:28Z
date_updated: 2023-06-07T07:59:06Z
department:
- _id: '101'
external_id:
arxiv:
- '2306.03320'
language:
- iso: eng
main_file_link:
- url: https://arxiv.org/pdf/2306.03320
page: '29'
publication: arXiv:2306.03320
publication_status: submitted
status: public
title: A parametrisation method for high-order phase reduction in coupled oscillator
networks
type: preprint
user_id: '97359'
year: '2023'
...
---
_id: '45712'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: Häsel-Weide U. Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt
von Kompetenzen, Wegen und Lernsituationen. Die Grundschulzeitschrift.
2023;(339):6-11.
apa: Häsel-Weide, U. (2023). Inklusiver Mathematikunterricht. Mathematiklernen
in Vielfalt von Kompetenzen, Wegen und Lernsituationen. Die Grundschulzeitschrift,
339, 6–11.
bibtex: '@article{Häsel-Weide_2023, title={ Inklusiver Mathematikunterricht. Mathematiklernen
in Vielfalt von Kompetenzen, Wegen und Lernsituationen}, number={339}, journal={Die
Grundschulzeitschrift}, publisher={Friedrich Verlag}, author={Häsel-Weide, Uta},
year={2023}, pages={6–11} }'
chicago: 'Häsel-Weide, Uta. “ Inklusiver Mathematikunterricht. Mathematiklernen
in Vielfalt von Kompetenzen, Wegen und Lernsituationen.” Die Grundschulzeitschrift,
no. 339 (2023): 6–11.'
ieee: U. Häsel-Weide, “ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt
von Kompetenzen, Wegen und Lernsituationen,” Die Grundschulzeitschrift,
no. 339, pp. 6–11, 2023.
mla: Häsel-Weide, Uta. “ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt
von Kompetenzen, Wegen und Lernsituationen.” Die Grundschulzeitschrift,
no. 339, Friedrich Verlag, 2023, pp. 6–11.
short: U. Häsel-Weide, Die Grundschulzeitschrift (2023) 6–11.
date_created: 2023-06-22T09:28:22Z
date_updated: 2023-06-22T09:34:13Z
department:
- _id: '543'
issue: '339'
language:
- iso: ger
page: 6-11
publication: Die Grundschulzeitschrift
publisher: Friedrich Verlag
related_material:
link:
- relation: other
url: https://www.friedrich-verlag.de/grundschule/die-grundschulzeitschrift/mathematikunterricht-inklusiv-5991
status: public
title: ' Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen,
Wegen und Lernsituationen'
type: journal_article
user_id: '44184'
year: '2023'
...
---
_id: '45713'
author:
- first_name: Lara Marie
full_name: Graf, Lara Marie
id: '89837'
last_name: Graf
- first_name: Inga
full_name: Wienhues, Inga
id: '61635'
last_name: Wienhues
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: Graf LM, Wienhues I, Häsel-Weide U. Addition und Subtraktion verstehen. Die
Grundschulzeitschrift. 2023;(339):20-23.
apa: Graf, L. M., Wienhues, I., & Häsel-Weide, U. (2023). Addition und Subtraktion
verstehen. Die Grundschulzeitschrift, 339, 20–23.
bibtex: '@article{Graf_Wienhues_Häsel-Weide_2023, title={Addition und Subtraktion
verstehen}, number={339}, journal={Die Grundschulzeitschrift}, publisher={Friedrich
Verlag}, author={Graf, Lara Marie and Wienhues, Inga and Häsel-Weide, Uta}, year={2023},
pages={20–23} }'
chicago: 'Graf, Lara Marie, Inga Wienhues, and Uta Häsel-Weide. “Addition und Subtraktion
verstehen.” Die Grundschulzeitschrift, no. 339 (2023): 20–23.'
ieee: L. M. Graf, I. Wienhues, and U. Häsel-Weide, “Addition und Subtraktion verstehen,”
Die Grundschulzeitschrift, no. 339, pp. 20–23, 2023.
mla: Graf, Lara Marie, et al. “Addition und Subtraktion verstehen.” Die Grundschulzeitschrift,
no. 339, Friedrich Verlag, 2023, pp. 20–23.
short: L.M. Graf, I. Wienhues, U. Häsel-Weide, Die Grundschulzeitschrift (2023)
20–23.
date_created: 2023-06-22T09:33:59Z
date_updated: 2023-06-22T09:34:18Z
department:
- _id: '543'
issue: '339'
language:
- iso: ger
page: 20-23
publication: Die Grundschulzeitschrift
publisher: Friedrich Verlag
related_material:
link:
- relation: other
url: https://www.friedrich-verlag.de/grundschule/die-grundschulzeitschrift/mathematikunterricht-inklusiv-5991
status: public
title: Addition und Subtraktion verstehen
type: journal_article
user_id: '44184'
year: '2023'
...
---
_id: '46117'
abstract:
- lang: eng
text: "Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact
type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We
show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic
growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain
that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$."
author:
- first_name: Tobias
full_name: Weich, Tobias
last_name: Weich
- first_name: Lasse L.
full_name: Wolf, Lasse L.
last_name: Wolf
citation:
ama: 'Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case.
arXiv:230409573. Published online 2023.'
apa: 'Weich, T., & Wolf, L. L. (2023). Temperedness of locally symmetric spaces:
The product case. In arXiv:2304.09573.'
bibtex: '@article{Weich_Wolf_2023, title={Temperedness of locally symmetric spaces:
The product case}, journal={arXiv:2304.09573}, author={Weich, Tobias and Wolf,
Lasse L.}, year={2023} }'
chicago: 'Weich, Tobias, and Lasse L. Wolf. “Temperedness of Locally Symmetric Spaces:
The Product Case.” ArXiv:2304.09573, 2023.'
ieee: 'T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product
case,” arXiv:2304.09573. 2023.'
mla: 'Weich, Tobias, and Lasse L. Wolf. “Temperedness of Locally Symmetric Spaces:
The Product Case.” ArXiv:2304.09573, 2023.'
short: T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023).
date_created: 2023-07-24T07:52:23Z
date_updated: 2023-07-24T07:53:29Z
department:
- _id: '10'
external_id:
arxiv:
- '2304.09573'
language:
- iso: eng
publication: arXiv:2304.09573
status: public
title: 'Temperedness of locally symmetric spaces: The product case'
type: preprint
user_id: '45027'
year: '2023'
...
---
_id: '46256'
author:
- first_name: Yulai
full_name: Ma, Yulai
id: '92748'
last_name: Ma
- first_name: Davide
full_name: Mattiolo, Davide
last_name: Mattiolo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Pairwise Disjoint Perfect Matchings in
r-Edge-Connected r-Regular Graphs. SIAM Journal on Discrete Mathematics.
2023;37(3):1548-1565. doi:10.1137/22m1500654
apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2023). Pairwise Disjoint
Perfect Matchings in r-Edge-Connected r-Regular Graphs. SIAM Journal on Discrete
Mathematics, 37(3), 1548–1565. https://doi.org/10.1137/22m1500654
bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2023, title={Pairwise Disjoint Perfect
Matchings in r-Edge-Connected r-Regular Graphs}, volume={37}, DOI={10.1137/22m1500654},
number={3}, journal={SIAM Journal on Discrete Mathematics}, publisher={Society
for Industrial & Applied Mathematics (SIAM)}, author={Ma, Yulai and Mattiolo,
Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={1548–1565}
}'
chicago: 'Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf.
“Pairwise Disjoint Perfect Matchings in R-Edge-Connected r-Regular Graphs.” SIAM
Journal on Discrete Mathematics 37, no. 3 (2023): 1548–65. https://doi.org/10.1137/22m1500654.'
ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Pairwise Disjoint Perfect
Matchings in r-Edge-Connected r-Regular Graphs,” SIAM Journal on Discrete Mathematics,
vol. 37, no. 3, pp. 1548–1565, 2023, doi: 10.1137/22m1500654.'
mla: Ma, Yulai, et al. “Pairwise Disjoint Perfect Matchings in R-Edge-Connected
r-Regular Graphs.” SIAM Journal on Discrete Mathematics, vol. 37, no. 3,
Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 1548–65, doi:10.1137/22m1500654.
short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, SIAM Journal on Discrete Mathematics
37 (2023) 1548–1565.
date_created: 2023-08-01T10:08:32Z
date_updated: 2023-08-01T10:09:35Z
department:
- _id: '542'
doi: 10.1137/22m1500654
intvolume: ' 37'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
page: 1548-1565
publication: SIAM Journal on Discrete Mathematics
publication_identifier:
issn:
- 0895-4801
- 1095-7146
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs
type: journal_article
user_id: '15540'
volume: 37
year: '2023'
...
---
_id: '29240'
abstract:
- lang: eng
text: "The principle of least action is one of the most fundamental physical principle.
It says that among all possible motions connecting two points in a phase space,
the system will exhibit those motions which extremise an action functional. Many
qualitative features of dynamical systems, such as the presence of conservation
laws and energy balance equations, are related to the existence of an action functional.
Incorporating variational structure into learning algorithms for dynamical systems
is, therefore, crucial in order to make sure that the learned model shares important
features with the exact physical system. In this paper we show how to incorporate
variational principles into trajectory predictions of learned dynamical systems.
The novelty of this work is that (1) our technique relies only on discrete position
data of observed trajectories. Velocities or conjugate momenta do not need to
be observed or approximated and no prior knowledge about the form of the variational
principle is assumed. Instead, they are recovered using backward error analysis.
(2) Moreover, our technique compensates discretisation errors when trajectories
are computed from the learned system. This is important when moderate to large
step-sizes are used and high accuracy is required. For this,\r\nwe introduce and
rigorously analyse the concept of inverse modified Lagrangians by developing an
inverse version of variational backward error analysis. (3) Finally, we introduce
a method to perform system identification from position observations only, based
on variational backward error analysis."
article_type: original
author:
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
citation:
ama: Ober-Blöbaum S, Offen C. Variational Learning of Euler–Lagrange Dynamics from
Data. Journal of Computational and Applied Mathematics. 2023;421:114780.
doi:10.1016/j.cam.2022.114780
apa: Ober-Blöbaum, S., & Offen, C. (2023). Variational Learning of Euler–Lagrange
Dynamics from Data. Journal of Computational and Applied Mathematics, 421,
114780. https://doi.org/10.1016/j.cam.2022.114780
bibtex: '@article{Ober-Blöbaum_Offen_2023, title={Variational Learning of Euler–Lagrange
Dynamics from Data}, volume={421}, DOI={10.1016/j.cam.2022.114780},
journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier},
author={Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={114780}
}'
chicago: 'Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange
Dynamics from Data.” Journal of Computational and Applied Mathematics 421
(2023): 114780. https://doi.org/10.1016/j.cam.2022.114780.'
ieee: 'S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics
from Data,” Journal of Computational and Applied Mathematics, vol. 421,
p. 114780, 2023, doi: 10.1016/j.cam.2022.114780.'
mla: Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange
Dynamics from Data.” Journal of Computational and Applied Mathematics,
vol. 421, Elsevier, 2023, p. 114780, doi:10.1016/j.cam.2022.114780.
short: S. Ober-Blöbaum, C. Offen, Journal of Computational and Applied Mathematics
421 (2023) 114780.
date_created: 2022-01-11T13:24:00Z
date_updated: 2023-08-10T08:42:39Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1016/j.cam.2022.114780
external_id:
arxiv:
- '2112.12619'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2022-06-28T15:25:50Z
date_updated: 2022-06-28T15:25:50Z
description: |-
The principle of least action is one of the most fundamental physical principle. It says that among all possible motions
connecting two points in a phase space, the system will exhibit those motions which extremise an action functional.
Many qualitative features of dynamical systems, such as the presence of conservation laws and energy balance equa-
tions, are related to the existence of an action functional. Incorporating variational structure into learning algorithms
for dynamical systems is, therefore, crucial in order to make sure that the learned model shares important features
with the exact physical system. In this paper we show how to incorporate variational principles into trajectory predic-
tions of learned dynamical systems. The novelty of this work is that (1) our technique relies only on discrete position
data of observed trajectories. Velocities or conjugate momenta do not need to be observed or approximated and no
prior knowledge about the form of the variational principle is assumed. Instead, they are recovered using backward
error analysis. (2) Moreover, our technique compensates discretisation errors when trajectories are computed from the
learned system. This is important when moderate to large step-sizes are used and high accuracy is required. For this,
we introduce and rigorously analyse the concept of inverse modified Lagrangians by developing an inverse version of
variational backward error analysis. (3) Finally, we introduce a method to perform system identification from position
observations only, based on variational backward error analysis.
file_id: '32274'
file_name: ShadowLagrangian_revision1_journal_style_arxiv.pdf
file_size: 3640770
relation: main_file
title: Variational Learning of Euler–Lagrange Dynamics from Data
file_date_updated: 2022-06-28T15:25:50Z
has_accepted_license: '1'
intvolume: ' 421'
keyword:
- Lagrangian learning
- variational backward error analysis
- modified Lagrangian
- variational integrators
- physics informed learning
language:
- iso: eng
oa: '1'
page: '114780'
publication: Journal of Computational and Applied Mathematics
publication_identifier:
issn:
- 0377-0427
publication_status: epub_ahead
publisher: Elsevier
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/Christian-Offen/LagrangianShadowIntegration
status: public
title: Variational Learning of Euler–Lagrange Dynamics from Data
type: journal_article
user_id: '85279'
volume: 421
year: '2023'
...
---
_id: '29236'
abstract:
- lang: eng
text: The numerical solution of an ordinary differential equation can be interpreted
as the exact solution of a nearby modified equation. Investigating the behaviour
of numerical solutions by analysing the modified equation is known as backward
error analysis. If the original and modified equation share structural properties,
then the exact and approximate solution share geometric features such as the existence
of conserved quantities. Conjugate symplectic methods preserve a modified symplectic
form and a modified Hamiltonian when applied to a Hamiltonian system. We show
how a blended version of variational and symplectic techniques can be used to
compute modified symplectic and Hamiltonian structures. In contrast to other approaches,
our backward error analysis method does not rely on an ansatz but computes the
structures systematically, provided that a variational formulation of the method
is known. The technique is illustrated on the example of symmetric linear multistep
methods with matrix coefficients.
article_type: original
author:
- first_name: Robert
full_name: McLachlan, Robert
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
citation:
ama: McLachlan R, Offen C. Backward error analysis for conjugate symplectic methods.
Journal of Geometric Mechanics. 2023;15(1):98-115. doi:10.3934/jgm.2023005
apa: McLachlan, R., & Offen, C. (2023). Backward error analysis for conjugate
symplectic methods. Journal of Geometric Mechanics, 15(1), 98–115.
https://doi.org/10.3934/jgm.2023005
bibtex: '@article{McLachlan_Offen_2023, title={Backward error analysis for conjugate
symplectic methods}, volume={15}, DOI={10.3934/jgm.2023005},
number={1}, journal={Journal of Geometric Mechanics}, publisher={AIMS Press},
author={McLachlan, Robert and Offen, Christian}, year={2023}, pages={98–115} }'
chicago: 'McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate
Symplectic Methods.” Journal of Geometric Mechanics 15, no. 1 (2023): 98–115.
https://doi.org/10.3934/jgm.2023005.'
ieee: 'R. McLachlan and C. Offen, “Backward error analysis for conjugate symplectic
methods,” Journal of Geometric Mechanics, vol. 15, no. 1, pp. 98–115, 2023,
doi: 10.3934/jgm.2023005.'
mla: McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate
Symplectic Methods.” Journal of Geometric Mechanics, vol. 15, no. 1, AIMS
Press, 2023, pp. 98–115, doi:10.3934/jgm.2023005.
short: R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115.
date_created: 2022-01-11T12:48:39Z
date_updated: 2023-08-10T08:40:30Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.3934/jgm.2023005
external_id:
arxiv:
- '2201.03911'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2022-08-12T16:48:59Z
date_updated: 2022-08-12T16:48:59Z
description: The numerical solution of an ordinary differential equation can be
interpreted as the exact solution of a nearby modified equation. Investigating
the behaviour of numerical solutions by analysing the modified equation is known
as backward error analysis. If the original and modified equation share structural
properties, then the exact and approximate solution share geometric features such
as the existence of conserved quantities. Conjugate symplectic methods preserve
a modified symplectic form and a modified Hamiltonian when applied to a Hamiltonian
system. We show how a blended version of variational and symplectic techniques
can be used to compute modified symplectic and Hamiltonian structures. In contrast
to other approaches, our backward error analysis method does not rely on an ansatz
but computes the structures systematically, provided that a variational formulation
of the method is known. The technique is illustrated on the example of symmetric
linear multistep methods with matrix coefficients.
file_id: '32801'
file_name: BEA_MultiStep_Matrix.pdf
file_size: 827030
relation: main_file
title: Backward error analysis for conjugate symplectic methods
file_date_updated: 2022-08-12T16:48:59Z
has_accepted_license: '1'
intvolume: ' 15'
issue: '1'
keyword:
- variational integrators
- backward error analysis
- Euler--Lagrange equations
- multistep methods
- conjugate symplectic methods
language:
- iso: eng
oa: '1'
page: 98-115
publication: Journal of Geometric Mechanics
publication_status: published
publisher: AIMS Press
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/Christian-Offen/BEAConjugateSymplectic
status: public
title: Backward error analysis for conjugate symplectic methods
type: journal_article
user_id: '85279'
volume: 15
year: '2023'
...