---
_id: '32338'
author:
- first_name: K.
full_name: Hähn, K.
last_name: Hähn
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: P.
full_name: Scherer, P.
last_name: Scherer
citation:
ama: Hähn K, Häsel-Weide U, Scherer P. Diagnosegeleitete Förderung im inklusiven
Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte
Handlungspraxis in der Lehrer*innenbildung. QfI - Qualifizierung für Inklusion.
2022;3(2).
apa: Hähn, K., Häsel-Weide, U., & Scherer, P. (2022). Diagnosegeleitete Förderung
im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch
reflektierte Handlungspraxis in der Lehrer*innenbildung. QfI - Qualifizierung
für Inklusion, 3(2).
bibtex: '@article{Hähn_Häsel-Weide_Scherer_2022, title={Diagnosegeleitete Förderung
im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch
reflektierte Handlungspraxis in der Lehrer*innenbildung.}, volume={3}, number={2},
journal={QfI - Qualifizierung für Inklusion}, author={Hähn, K. and Häsel-Weide,
Uta and Scherer, P.}, year={2022} }'
chicago: Hähn, K., Uta Häsel-Weide, and P. Scherer. “Diagnosegeleitete Förderung
im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch
reflektierte Handlungspraxis in der Lehrer*innenbildung.” QfI - Qualifizierung
für Inklusion 3, no. 2 (2022).
ieee: K. Hähn, U. Häsel-Weide, and P. Scherer, “Diagnosegeleitete Förderung im inklusiven
Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte
Handlungspraxis in der Lehrer*innenbildung.,” QfI - Qualifizierung für Inklusion,
vol. 3, no. 2, 2022.
mla: Hähn, K., et al. “Diagnosegeleitete Förderung im inklusiven Mathematikunterricht
der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der
Lehrer*innenbildung.” QfI - Qualifizierung für Inklusion, vol. 3, no. 2,
2022.
short: K. Hähn, U. Häsel-Weide, P. Scherer, QfI - Qualifizierung für Inklusion 3
(2022).
date_created: 2022-07-11T05:13:52Z
date_updated: 2022-07-11T05:31:41Z
department:
- _id: '98'
- _id: '543'
intvolume: ' 3'
issue: '2'
language:
- iso: ger
publication: QfI - Qualifizierung für Inklusion
publication_status: published
related_material:
link:
- relation: contains
url: https://doi.org/10.21248/qfi.72
status: public
title: Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule
– Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.
type: journal_article
user_id: '85821'
volume: 3
year: '2022'
...
---
_id: '29673'
abstract:
- lang: eng
text: Koopman operator theory has been successfully applied to problems from various
research areas such as fluid dynamics, molecular dynamics, climate science, engineering,
and biology. Applications include detecting metastable or coherent sets, coarse-graining,
system identification, and control. There is an intricate connection between dynamical
systems driven by stochastic differential equations and quantum mechanics. In
this paper, we compare the ground-state transformation and Nelson's stochastic
mechanics and demonstrate how data-driven methods developed for the approximation
of the Koopman operator can be used to analyze quantum physics problems. Moreover,
we exploit the relationship between Schrödinger operators and stochastic control
problems to show that modern data-driven methods for stochastic control can be
used to solve the stationary or imaginary-time Schrödinger equation. Our findings
open up a new avenue towards solving Schrödinger's equation using recently developed
tools from data science.
author:
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: 'Klus S, Nüske F, Peitz S. Koopman analysis of quantum systems. Journal
of Physics A: Mathematical and Theoretical. 2022;55(31):314002. doi:10.1088/1751-8121/ac7d22'
apa: 'Klus, S., Nüske, F., & Peitz, S. (2022). Koopman analysis of quantum systems.
Journal of Physics A: Mathematical and Theoretical, 55(31), 314002.
https://doi.org/10.1088/1751-8121/ac7d22'
bibtex: '@article{Klus_Nüske_Peitz_2022, title={Koopman analysis of quantum systems},
volume={55}, DOI={10.1088/1751-8121/ac7d22},
number={31}, journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP
Publishing Ltd.}, author={Klus, Stefan and Nüske, Feliks and Peitz, Sebastian},
year={2022}, pages={314002} }'
chicago: 'Klus, Stefan, Feliks Nüske, and Sebastian Peitz. “Koopman Analysis of
Quantum Systems.” Journal of Physics A: Mathematical and Theoretical 55,
no. 31 (2022): 314002. https://doi.org/10.1088/1751-8121/ac7d22.'
ieee: 'S. Klus, F. Nüske, and S. Peitz, “Koopman analysis of quantum systems,” Journal
of Physics A: Mathematical and Theoretical, vol. 55, no. 31, p. 314002, 2022,
doi: 10.1088/1751-8121/ac7d22.'
mla: 'Klus, Stefan, et al. “Koopman Analysis of Quantum Systems.” Journal of
Physics A: Mathematical and Theoretical, vol. 55, no. 31, IOP Publishing Ltd.,
2022, p. 314002, doi:10.1088/1751-8121/ac7d22.'
short: 'S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical
55 (2022) 314002.'
date_created: 2022-01-31T09:49:40Z
date_updated: 2022-07-18T14:26:41Z
department:
- _id: '655'
- _id: '101'
doi: 10.1088/1751-8121/ac7d22
external_id:
arxiv:
- '2201.12062'
intvolume: ' 55'
issue: '31'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://iopscience.iop.org/article/10.1088/1751-8121/ac7d22/pdf
oa: '1'
page: '314002'
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_status: published
publisher: IOP Publishing Ltd.
status: public
title: Koopman analysis of quantum systems
type: journal_article
user_id: '47427'
volume: 55
year: '2022'
...
---
_id: '34618'
abstract:
- lang: eng
text: "In this article, we show how second-order derivative information can be\r\nincorporated
into gradient sampling methods for nonsmooth optimization. The\r\nsecond-order
information we consider is essentially the set of coefficients of\r\nall second-order
Taylor expansions of the objective in a closed ball around a\r\ngiven point. Based
on this concept, we define a model of the objective as the\r\nmaximum of these
Taylor expansions. Iteratively minimizing this model\r\n(constrained to the closed
ball) results in a simple descent method, for which\r\nwe prove convergence to
minimal points in case the objective is convex. To\r\nobtain an implementable
method, we construct an approximation scheme for the\r\nsecond-order information
based on sampling objective values, gradients and\r\nHessian matrices at finitely
many points. Using a set of test problems, we\r\ncompare the resulting method
to five other available solvers. Considering the\r\nnumber of function evaluations,
the results suggest that the method we propose\r\nis superior to the standard
gradient sampling method, and competitive compared\r\nto other methods."
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
citation:
ama: Gebken B. Using second-order information in gradient sampling methods for
nonsmooth optimization. arXiv:221004579. Published online 2022.
apa: Gebken, B. (2022). Using second-order information in gradient sampling methods
for nonsmooth optimization. In arXiv:2210.04579.
bibtex: '@article{Gebken_2022, title={Using second-order information in gradient
sampling methods for nonsmooth optimization}, journal={arXiv:2210.04579}, author={Gebken,
Bennet}, year={2022} }'
chicago: Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods
for Nonsmooth Optimization.” ArXiv:2210.04579, 2022.
ieee: B. Gebken, “Using second-order information in gradient sampling methods for
nonsmooth optimization,” arXiv:2210.04579. 2022.
mla: Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods
for Nonsmooth Optimization.” ArXiv:2210.04579, 2022.
short: B. Gebken, ArXiv:2210.04579 (2022).
date_created: 2022-12-20T15:25:17Z
date_updated: 2022-12-20T15:28:54Z
department:
- _id: '101'
external_id:
arxiv:
- '2210.04579'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2210.04579
oa: '1'
publication: arXiv:2210.04579
status: public
title: Using second-order information in gradient sampling methods for nonsmooth
optimization
type: preprint
user_id: '32643'
year: '2022'
...
---
_id: '34792'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Non-Lie subgroups in Lie groups over local fields of positive characteristic.
p-Adic Numbers, Ultrametric Analysis, and Applications. 2022;14(2):138–144.
doi:10.1134/S2070046622020042
apa: Glöckner, H. (2022). Non-Lie subgroups in Lie groups over local fields of positive
characteristic. P-Adic Numbers, Ultrametric Analysis, and Applications,
14(2), 138–144. https://doi.org/10.1134/S2070046622020042
bibtex: '@article{Glöckner_2022, title={Non-Lie subgroups in Lie groups over local
fields of positive characteristic}, volume={14}, DOI={10.1134/S2070046622020042},
number={2}, journal={p-Adic Numbers, Ultrametric Analysis, and Applications},
author={Glöckner, Helge}, year={2022}, pages={138–144} }'
chicago: 'Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of
Positive Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications
14, no. 2 (2022): 138–144. https://doi.org/10.1134/S2070046622020042.'
ieee: 'H. Glöckner, “Non-Lie subgroups in Lie groups over local fields of positive
characteristic,” p-Adic Numbers, Ultrametric Analysis, and Applications,
vol. 14, no. 2, pp. 138–144, 2022, doi: 10.1134/S2070046622020042.'
mla: Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive
Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications,
vol. 14, no. 2, 2022, pp. 138–144, doi:10.1134/S2070046622020042.
short: H. Glöckner, P-Adic Numbers, Ultrametric Analysis, and Applications 14 (2022)
138–144.
date_created: 2022-12-21T19:27:51Z
date_updated: 2022-12-21T19:30:25Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1134/S2070046622020042
intvolume: ' 14'
issue: '2'
keyword:
- 20Exx
- 22Exx
- 32Cxx
language:
- iso: eng
page: 138–144
publication: p-Adic Numbers, Ultrametric Analysis, and Applications
publication_identifier:
issn:
- 2070-0466
quality_controlled: '1'
status: public
title: Non-Lie subgroups in Lie groups over local fields of positive characteristic
type: journal_article
user_id: '178'
volume: 14
year: '2022'
...
---
_id: '34791'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Alexander
full_name: Schmeding, Alexander
last_name: Schmeding
citation:
ama: Glöckner H, Schmeding A. Manifolds of mappings on Cartesian products. Annals
of Global Analysis and Geometry. 2022;61(2):359–398. doi:10.1007/s10455-021-09816-y
apa: Glöckner, H., & Schmeding, A. (2022). Manifolds of mappings on Cartesian
products. Annals of Global Analysis and Geometry, 61(2), 359–398.
https://doi.org/10.1007/s10455-021-09816-y
bibtex: '@article{Glöckner_Schmeding_2022, title={Manifolds of mappings on Cartesian
products}, volume={61}, DOI={10.1007/s10455-021-09816-y},
number={2}, journal={Annals of Global Analysis and Geometry}, author={Glöckner,
Helge and Schmeding, Alexander}, year={2022}, pages={359–398} }'
chicago: 'Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian
Products.” Annals of Global Analysis and Geometry 61, no. 2 (2022): 359–398.
https://doi.org/10.1007/s10455-021-09816-y.'
ieee: 'H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,”
Annals of Global Analysis and Geometry, vol. 61, no. 2, pp. 359–398, 2022,
doi: 10.1007/s10455-021-09816-y.'
mla: Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian
Products.” Annals of Global Analysis and Geometry, vol. 61, no. 2, 2022,
pp. 359–398, doi:10.1007/s10455-021-09816-y.
short: H. Glöckner, A. Schmeding, Annals of Global Analysis and Geometry 61 (2022)
359–398.
date_created: 2022-12-21T19:24:48Z
date_updated: 2022-12-21T19:27:09Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s10455-021-09816-y
intvolume: ' 61'
issue: '2'
keyword:
- 58D15
- '22E65'
- '26E15'
- '26E20'
- '46E40'
- 46T20
- 58A05
language:
- iso: eng
page: 359–398
publication: Annals of Global Analysis and Geometry
publication_identifier:
issn:
- 0232-704X
quality_controlled: '1'
status: public
title: Manifolds of mappings on Cartesian products
type: journal_article
user_id: '178'
volume: 61
year: '2022'
...
---
_id: '34796'
abstract:
- lang: eng
text: 'We prove various results in infinite-dimensional differential calculus that
relate the differentiability properties of functions and associated operator-valued
functions (e.g., differentials). The results are applied in two areas: (1) in
the theory of infinite-dimensional vector bundles, to construct new bundles from
given ones, such as dual bundles, topological tensor products, infinite direct
sums, and completions (under suitable hypotheses); (2) in the theory of locally
convex Poisson vector spaces, to prove continuity of the Poisson bracket and continuity
of passage from a function to the associated Hamiltonian vector field. Topological
properties of topological vector spaces are essential for the studies, which allow
the hypocontinuity of bilinear mappings to be exploited. Notably, we encounter
kR-spaces and locally convex spaces E such that E×E is a kR-space.'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Aspects of differential calculus related to infinite-dimensional
vector bundles and Poisson vector spaces. Axioms. 2022;11(5). doi:10.3390/axioms11050221
apa: Glöckner, H. (2022). Aspects of differential calculus related to infinite-dimensional
vector bundles and Poisson vector spaces. Axioms, 11(5). https://doi.org/10.3390/axioms11050221
bibtex: '@article{Glöckner_2022, title={Aspects of differential calculus related
to infinite-dimensional vector bundles and Poisson vector spaces}, volume={11},
DOI={10.3390/axioms11050221},
number={5}, journal={Axioms}, author={Glöckner, Helge}, year={2022} }'
chicago: Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional
Vector Bundles and Poisson Vector Spaces.” Axioms 11, no. 5 (2022). https://doi.org/10.3390/axioms11050221.
ieee: 'H. Glöckner, “Aspects of differential calculus related to infinite-dimensional
vector bundles and Poisson vector spaces,” Axioms, vol. 11, no. 5, 2022,
doi: 10.3390/axioms11050221.'
mla: Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional
Vector Bundles and Poisson Vector Spaces.” Axioms, vol. 11, no. 5, 2022,
doi:10.3390/axioms11050221.
short: H. Glöckner, Axioms 11 (2022).
date_created: 2022-12-21T20:02:29Z
date_updated: 2022-12-22T07:31:55Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.3390/axioms11050221
intvolume: ' 11'
issue: '5'
language:
- iso: eng
publication: Axioms
publication_identifier:
issn:
- 2075-1680
quality_controlled: '1'
status: public
title: Aspects of differential calculus related to infinite-dimensional vector bundles
and Poisson vector spaces
type: journal_article
user_id: '178'
volume: 11
year: '2022'
...
---
_id: '34804'
abstract:
- lang: eng
text: "Starting with a finite-dimensional complex Lie algebra, we extend scalars\r\nusing
suitable commutative topological algebras. We study Birkhoff\r\ndecompositions
for the corresponding loop groups. Some results remain valid for\r\nloop groups
with valued in complex Banach-Lie groups."
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras.
arXiv:220611711. Published online 2022.
apa: Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient
algebras. In arXiv:2206.11711.
bibtex: '@article{Glöckner_2022, title={Birkhoff decompositions for loop groups
with coefficient algebras}, journal={arXiv:2206.11711}, author={Glöckner, Helge},
year={2022} }'
chicago: Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient
Algebras.” ArXiv:2206.11711, 2022.
ieee: H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,”
arXiv:2206.11711. 2022.
mla: Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient
Algebras.” ArXiv:2206.11711, 2022.
short: H. Glöckner, ArXiv:2206.11711 (2022).
date_created: 2022-12-22T07:42:07Z
date_updated: 2022-12-22T07:44:08Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- '2206.11711'
language:
- iso: eng
publication: arXiv:2206.11711
status: public
title: Birkhoff decompositions for loop groups with coefficient algebras
type: preprint
user_id: '178'
year: '2022'
...
---
_id: '31556'
abstract:
- lang: ger
text: Mehrzieloptimierung behandelt Probleme, bei denen mehrere skalare Zielfunktionen
simultan optimiert werden sollen. Ein Punkt ist in diesem Fall optimal, wenn es
keinen anderen Punkt gibt, der mindestens genauso gut ist in allen Zielfunktionen
und besser in mindestens einer Zielfunktion. Ein notwendiges Optimalitätskriterium
lässt sich über Ableitungsinformationen erster Ordnung der Zielfunktionen herleiten.
Die Menge der Punkte, die dieses notwendige Kriterium erfüllen, wird als Pareto-kritische
Menge bezeichnet. Diese Arbeit enthält neue Resultate über Pareto-kritische Mengen
für glatte und nicht-glatte Mehrzieloptimierungsprobleme, sowohl was deren Berechnung
betrifft als auch deren Struktur. Im glatten Fall erfolgt die Berechnung über
ein Fortsetzungsverfahren, im nichtglatten Fall über ein Abstiegsverfahren. Anschließend
wird die Struktur des Randes der Pareto-kritischen Menge analysiert, welcher aus
Pareto-kritischen Mengen kleinerer Subprobleme besteht. Schlussendlich werden
inverse Probleme betrachtet, bei denen zu einer gegebenen Datenmenge ein Zielfunktionsvektor
gefunden werden soll, für den die Datenpunkte kritisch sind.
- lang: eng
text: Multiobjective optimization is concerned with the simultaneous optimization
of multiple scalar-valued functions. In this case, a point is optimal if there
is no other point that is at least as good in all objectives and better in at
least one objective. A necessary condition for optimality can be derived based
on first-order information of the objectives. The set of points that satisfy this
necessary condition is called the Pareto critical set. This thesis presents new
results about Pareto critical sets for smooth and nonsmooth multiobjective optimization
problems, both in terms of their efficient computation and structural properties.
In the smooth case they are computed via a continuation method and in the nonsmooth
case via a descent method. Afterwards, the structure of the boundary of the Pareto
critical set is analyzed, which consists of Pareto critical sets of smaller subproblems.
Finally, inverse problems are considered, where a data set is given and an objective
vector is sought for which the data points are critical.
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
citation:
ama: Gebken B. Computation and Analysis of Pareto Critical Sets in Smooth and
Nonsmooth Multiobjective Optimization.; 2022. doi:10.17619/UNIPB/1-1327
apa: Gebken, B. (2022). Computation and analysis of Pareto critical sets in smooth
and nonsmooth multiobjective optimization. https://doi.org/10.17619/UNIPB/1-1327
bibtex: '@book{Gebken_2022, title={Computation and analysis of Pareto critical sets
in smooth and nonsmooth multiobjective optimization}, DOI={10.17619/UNIPB/1-1327},
author={Gebken, Bennet}, year={2022} }'
chicago: Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in
Smooth and Nonsmooth Multiobjective Optimization, 2022. https://doi.org/10.17619/UNIPB/1-1327.
ieee: B. Gebken, Computation and analysis of Pareto critical sets in smooth and
nonsmooth multiobjective optimization. 2022.
mla: Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth
and Nonsmooth Multiobjective Optimization. 2022, doi:10.17619/UNIPB/1-1327.
short: B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and
Nonsmooth Multiobjective Optimization, 2022.
date_created: 2022-06-01T06:48:08Z
date_updated: 2022-06-01T07:13:09Z
department:
- _id: '101'
doi: 10.17619/UNIPB/1-1327
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://digital.ub.uni-paderborn.de/hs/download/pdf/6531779
oa: '1'
status: public
supervisor:
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
title: Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective
optimization
type: dissertation
user_id: '32643'
year: '2022'
...
---
_id: '33150'
abstract:
- lang: eng
text: In this article, we build on previous work to present an optimization algorithm
for nonlinearly constrained multi-objective optimization problems. The algorithm
combines a surrogate-assisted derivative-free trust-region approach with the filter
method known from single-objective optimization. Instead of the true objective
and constraint functions, so-called fully linear models are employed and we show
how to deal with the gradient inexactness in the composite step setting, adapted
from single-objective optimization as well. Under standard assumptions, we prove
convergence of a subset of iterates to a quasi-stationary point and if constraint
qualifications hold, then the limit point is also a KKT-point of the multi-objective
problem.
author:
- first_name: Manuel Bastian
full_name: Berkemeier, Manuel Bastian
id: '51701'
last_name: Berkemeier
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Berkemeier MB, Peitz S. Multi-Objective Trust-Region Filter Method for Nonlinear
Constraints using Inexact Gradients. arXiv:220812094. Published online
2022.
apa: Berkemeier, M. B., & Peitz, S. (2022). Multi-Objective Trust-Region Filter
Method for Nonlinear Constraints using Inexact Gradients. In arXiv:2208.12094.
bibtex: '@article{Berkemeier_Peitz_2022, title={Multi-Objective Trust-Region Filter
Method for Nonlinear Constraints using Inexact Gradients}, journal={arXiv:2208.12094},
author={Berkemeier, Manuel Bastian and Peitz, Sebastian}, year={2022} }'
chicago: Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region
Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094,
2022.
ieee: M. B. Berkemeier and S. Peitz, “Multi-Objective Trust-Region Filter Method
for Nonlinear Constraints using Inexact Gradients,” arXiv:2208.12094. 2022.
mla: Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region
Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094,
2022.
short: M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).
date_created: 2022-08-26T06:08:06Z
date_updated: 2022-08-26T06:12:10Z
department:
- _id: '101'
- _id: '655'
external_id:
arxiv:
- '2208.12094'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2208.12094
oa: '1'
publication: arXiv:2208.12094
status: public
title: Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using
Inexact Gradients
type: preprint
user_id: '47427'
year: '2022'
...
---
_id: '20731'
abstract:
- lang: eng
text: We present a novel algorithm that allows us to gain detailed insight into
the effects of sparsity in linear and nonlinear optimization, which is of great
importance in many scientific areas such as image and signal processing, medical
imaging, compressed sensing, and machine learning (e.g., for the training of neural
networks). Sparsity is an important feature to ensure robustness against noisy
data, but also to find models that are interpretable and easy to analyze due to
the small number of relevant terms. It is common practice to enforce sparsity
by adding the ℓ1-norm as a weighted penalty term. In order to gain a better understanding
and to allow for an informed model selection, we directly solve the corresponding
multiobjective optimization problem (MOP) that arises when we minimize the main
objective and the ℓ1-norm simultaneously. As this MOP is in general non-convex
for nonlinear objectives, the weighting method will fail to provide all optimal
compromises. To avoid this issue, we present a continuation method which is specifically
tailored to MOPs with two objective functions one of which is the ℓ1-norm. Our
method can be seen as a generalization of well-known homotopy methods for linear
regression problems to the nonlinear case. Several numerical examples - including
neural network training - demonstrate our theoretical findings and the additional
insight that can be gained by this multiobjective approach.
article_type: original
author:
- first_name: Katharina
full_name: Bieker, Katharina
id: '32829'
last_name: Bieker
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Bieker K, Gebken B, Peitz S. On the Treatment of Optimization Problems with
L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern
Analysis and Machine Intelligence. 2022;44(11):7797-7808. doi:10.1109/TPAMI.2021.3114962
apa: Bieker, K., Gebken, B., & Peitz, S. (2022). On the Treatment of Optimization
Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions
on Pattern Analysis and Machine Intelligence, 44(11), 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962
bibtex: '@article{Bieker_Gebken_Peitz_2022, title={On the Treatment of Optimization
Problems with L1 Penalty Terms via Multiobjective Continuation}, volume={44},
DOI={10.1109/TPAMI.2021.3114962},
number={11}, journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
publisher={IEEE}, author={Bieker, Katharina and Gebken, Bennet and Peitz, Sebastian},
year={2022}, pages={7797–7808} }'
chicago: 'Bieker, Katharina, Bennet Gebken, and Sebastian Peitz. “On the Treatment
of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.”
IEEE Transactions on Pattern Analysis and Machine Intelligence 44, no.
11 (2022): 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962.'
ieee: 'K. Bieker, B. Gebken, and S. Peitz, “On the Treatment of Optimization Problems
with L1 Penalty Terms via Multiobjective Continuation,” IEEE Transactions on
Pattern Analysis and Machine Intelligence, vol. 44, no. 11, pp. 7797–7808,
2022, doi: 10.1109/TPAMI.2021.3114962.'
mla: Bieker, Katharina, et al. “On the Treatment of Optimization Problems with L1
Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern
Analysis and Machine Intelligence, vol. 44, no. 11, IEEE, 2022, pp. 7797–808,
doi:10.1109/TPAMI.2021.3114962.
short: K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and
Machine Intelligence 44 (2022) 7797–7808.
date_created: 2020-12-15T07:46:36Z
date_updated: 2022-10-21T12:27:16Z
ddc:
- '510'
department:
- _id: '101'
- _id: '530'
- _id: '655'
doi: 10.1109/TPAMI.2021.3114962
file:
- access_level: closed
content_type: application/pdf
creator: speitz
date_created: 2021-09-25T11:59:15Z
date_updated: 2021-09-25T11:59:15Z
file_id: '25040'
file_name: On_the_Treatment_of_Optimization_Problems_with_L1_Penalty_Terms_via_Multiobjective_Continuation.pdf
file_size: 7990831
relation: main_file
success: 1
file_date_updated: 2021-09-25T11:59:15Z
has_accepted_license: '1'
intvolume: ' 44'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9547772
oa: '1'
page: 7797-7808
publication: IEEE Transactions on Pattern Analysis and Machine Intelligence
publication_status: epub_ahead
publisher: IEEE
status: public
title: On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective
Continuation
type: journal_article
user_id: '47427'
volume: 44
year: '2022'
...
---
_id: '35306'
author:
- first_name: Yannick
full_name: Guedes Bonthonneau, Yannick
last_name: Guedes Bonthonneau
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with
hyperbolic cusps. Journal of the European Mathematical Society. 2022;24(3):851-923.
doi:10.4171/jems/1103
apa: Guedes Bonthonneau, Y., & Weich, T. (2022). Ruelle–Pollicott resonances
for manifolds with hyperbolic cusps. Journal of the European Mathematical Society,
24(3), 851–923. https://doi.org/10.4171/jems/1103
bibtex: '@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances
for manifolds with hyperbolic cusps}, volume={24}, DOI={10.4171/jems/1103},
number={3}, journal={Journal of the European Mathematical Society}, publisher={European
Mathematical Society - EMS - Publishing House GmbH}, author={Guedes Bonthonneau,
Yannick and Weich, Tobias}, year={2022}, pages={851–923} }'
chicago: 'Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances
for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical
Society 24, no. 3 (2022): 851–923. https://doi.org/10.4171/jems/1103.'
ieee: 'Y. Guedes Bonthonneau and T. Weich, “Ruelle–Pollicott resonances for manifolds
with hyperbolic cusps,” Journal of the European Mathematical Society, vol.
24, no. 3, pp. 851–923, 2022, doi: 10.4171/jems/1103.'
mla: Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances
for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical
Society, vol. 24, no. 3, European Mathematical Society - EMS - Publishing
House GmbH, 2022, pp. 851–923, doi:10.4171/jems/1103.
short: Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society
24 (2022) 851–923.
date_created: 2023-01-05T16:23:34Z
date_updated: 2023-01-06T08:47:35Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.4171/jems/1103
intvolume: ' 24'
issue: '3'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 851-923
publication: Journal of the European Mathematical Society
publication_identifier:
issn:
- 1435-9855
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Ruelle–Pollicott resonances for manifolds with hyperbolic cusps
type: journal_article
user_id: '49178'
volume: 24
year: '2022'
...
---
_id: '34633'
article_number: '114118'
author:
- first_name: Kerstin
full_name: Hesse, Kerstin
id: '42608'
last_name: Hesse
orcid: 0000-0003-4125-1941
- first_name: Quoc Thong
full_name: Le Gia, Quoc Thong
last_name: Le Gia
citation:
ama: Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares
approximation on the sphere from noisy data. Journal of Computational and Applied
Mathematics. 2022;408. doi:10.1016/j.cam.2022.114118
apa: Hesse, K., & Le Gia, Q. T. (2022). L_2 error estimates for polynomial discrete
penalized least-squares approximation on the sphere from noisy data. Journal
of Computational and Applied Mathematics, 408, Article 114118. https://doi.org/10.1016/j.cam.2022.114118
bibtex: '@article{Hesse_Le Gia_2022, title={L_2 error estimates for polynomial discrete
penalized least-squares approximation on the sphere from noisy data}, volume={408},
DOI={10.1016/j.cam.2022.114118},
number={114118}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
BV}, author={Hesse, Kerstin and Le Gia, Quoc Thong}, year={2022} }'
chicago: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial
Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.”
Journal of Computational and Applied Mathematics 408 (2022). https://doi.org/10.1016/j.cam.2022.114118.
ieee: 'K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized
least-squares approximation on the sphere from noisy data,” Journal of Computational
and Applied Mathematics, vol. 408, Art. no. 114118, 2022, doi: 10.1016/j.cam.2022.114118.'
mla: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial
Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.”
Journal of Computational and Applied Mathematics, vol. 408, 114118, Elsevier
BV, 2022, doi:10.1016/j.cam.2022.114118.
short: K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408
(2022).
date_created: 2022-12-20T17:37:16Z
date_updated: 2023-01-09T08:23:56Z
department:
- _id: '10'
doi: 10.1016/j.cam.2022.114118
intvolume: ' 408'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
publication: Journal of Computational and Applied Mathematics
publication_identifier:
issn:
- 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: L_2 error estimates for polynomial discrete penalized least-squares approximation
on the sphere from noisy data
type: journal_article
user_id: '14931'
volume: 408
year: '2022'
...
---
_id: '34817'
article_type: original
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. Regularity of Lie groups. Communications in Analysis and Geometry.
2022;30(1):53-152. doi:10.4310/cag.2022.v30.n1.a2
apa: Hanusch, M. (2022). Regularity of Lie groups. Communications in Analysis
and Geometry, 30(1), 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2
bibtex: '@article{Hanusch_2022, title={Regularity of Lie groups}, volume={30}, DOI={10.4310/cag.2022.v30.n1.a2},
number={1}, journal={Communications in Analysis and Geometry}, publisher={International
Press of Boston}, author={Hanusch, Maximilian}, year={2022}, pages={53–152} }'
chicago: 'Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in
Analysis and Geometry 30, no. 1 (2022): 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2.'
ieee: 'M. Hanusch, “Regularity of Lie groups,” Communications in Analysis and
Geometry, vol. 30, no. 1, pp. 53–152, 2022, doi: 10.4310/cag.2022.v30.n1.a2.'
mla: Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in Analysis
and Geometry, vol. 30, no. 1, International Press of Boston, 2022, pp. 53–152,
doi:10.4310/cag.2022.v30.n1.a2.
short: M. Hanusch, Communications in Analysis and Geometry 30 (2022) 53–152.
date_created: 2022-12-22T09:19:43Z
date_updated: 2023-01-09T18:07:30Z
department:
- _id: '93'
doi: 10.4310/cag.2022.v30.n1.a2
extern: '1'
intvolume: ' 30'
issue: '1'
keyword:
- regularity of Lie groups
language:
- iso: eng
page: 53-152
publication: Communications in Analysis and Geometry
publication_identifier:
issn:
- 1019-8385
- 1944-9992
publication_status: published
publisher: International Press of Boston
status: public
title: Regularity of Lie groups
type: journal_article
user_id: '30905'
volume: 30
year: '2022'
...
---
_id: '34856'
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching
apa: Hanusch, M. (n.d.). Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.
bibtex: '@book{Hanusch, title={Analysis 1 und 2 Skript/Buch}, publisher={https://maximilianhanusch.wixsite.com/my-site/lehre-teaching},
author={Hanusch, Maximilian} }'
chicago: Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching,
n.d.
ieee: M. Hanusch, Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.
mla: Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.
short: M. Hanusch, Analysis 1 und 2 Skript/Buch, https://maximilianhanusch.wixsite.com/my-site/lehre-teaching,
n.d.
date_created: 2022-12-22T17:06:02Z
date_updated: 2023-01-09T18:07:00Z
department:
- _id: '93'
language:
- iso: ger
page: '385'
publication_status: draft
publisher: https://maximilianhanusch.wixsite.com/my-site/lehre-teaching
status: public
title: Analysis 1 und 2 Skript/Buch
type: working_paper
user_id: '30905'
year: '2022'
...
---
_id: '35644'
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Alexander
full_name: Klump, Alexander
id: '45067'
last_name: Klump
citation:
ama: Kolb M, Klump A. Uniqueness of the Inverse First Passage Time Problem and the
Shape of the Shiryaev boundary. Theory of Probability and its Applications.
2022;67(4):717-744.
apa: Kolb, M., & Klump, A. (2022). Uniqueness of the Inverse First Passage Time
Problem and the Shape of the Shiryaev boundary. Theory of Probability and Its
Applications, 67(4), 717–744.
bibtex: '@article{Kolb_Klump_2022, title={Uniqueness of the Inverse First Passage
Time Problem and the Shape of the Shiryaev boundary}, volume={67}, number={4},
journal={Theory of Probability and its Applications}, publisher={Society for Industrial
and Applied Mathematics}, author={Kolb, Martin and Klump, Alexander}, year={2022},
pages={717–744} }'
chicago: 'Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage
Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability
and Its Applications 67, no. 4 (2022): 717–44.'
ieee: M. Kolb and A. Klump, “Uniqueness of the Inverse First Passage Time Problem
and the Shape of the Shiryaev boundary,” Theory of Probability and its Applications,
vol. 67, no. 4, pp. 717–744, 2022.
mla: Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage
Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability
and Its Applications, vol. 67, no. 4, Society for Industrial and Applied Mathematics,
2022, pp. 717–44.
short: M. Kolb, A. Klump, Theory of Probability and Its Applications 67 (2022) 717–744.
date_created: 2023-01-10T08:13:17Z
date_updated: 2023-01-10T08:13:30Z
department:
- _id: '96'
intvolume: ' 67'
issue: '4'
language:
- iso: eng
page: 717-744
publication: Theory of Probability and its Applications
publication_status: published
publisher: Society for Industrial and Applied Mathematics
status: public
title: Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev
boundary
type: journal_article
user_id: '85821'
volume: 67
year: '2022'
...
---
_id: '35649'
abstract:
- lang: eng
text: Motivated by the work [6] of Mariusz Bieniek, Krzysztof Burdzy and Soumik
Pal we study a Fleming-Viot-type particle system consisting of independently moving
particles each driven by generalized Bessel processes on the positive real line.
Upon hitting the boundary {0} this particle is killed and an uniformly chosen
different one branches into two particles. Using the symmetry of the model and
the self similarity property of Bessel processes, we obtain a criterion to decide
whether the particles converge to the origin at a finite time. This addresses
open problem 1.4 in [6]. Specifically, inspired by [6, Open Problem 1.5], we investigate
the case of three moving particles and refine the general result of [6, Theorem
1.1(ii)] extending the regime of drift parameters, where convergence does not
occur – even to values, where it does occur when considering the case of only
two particles.
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Matthias
full_name: Liesenfeld, Matthias
last_name: Liesenfeld
citation:
ama: Kolb M, Liesenfeld M. On non-extinction in a Fleming-Viot-type particle model
with Bessel drift. Electronic Journal of Probability. 2022;(27):1-28. doi:https://doi.org/10.1214/22-EJP866
apa: Kolb, M., & Liesenfeld, M. (2022). On non-extinction in a Fleming-Viot-type
particle model with Bessel drift. Electronic Journal of Probability, 27,
1–28. https://doi.org/10.1214/22-EJP866
bibtex: '@article{Kolb_Liesenfeld_2022, title={On non-extinction in a Fleming-Viot-type
particle model with Bessel drift}, DOI={https://doi.org/10.1214/22-EJP866},
number={27}, journal={Electronic Journal of Probability}, publisher={Institute
of Mathematical Statistics}, author={Kolb, Martin and Liesenfeld, Matthias}, year={2022},
pages={1–28} }'
chicago: 'Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type
Particle Model with Bessel Drift.” Electronic Journal of Probability, no.
27 (2022): 1–28. https://doi.org/10.1214/22-EJP866.'
ieee: 'M. Kolb and M. Liesenfeld, “On non-extinction in a Fleming-Viot-type particle
model with Bessel drift,” Electronic Journal of Probability, no. 27, pp.
1–28, 2022, doi: https://doi.org/10.1214/22-EJP866.'
mla: Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type
Particle Model with Bessel Drift.” Electronic Journal of Probability, no.
27, Institute of Mathematical Statistics, 2022, pp. 1–28, doi:https://doi.org/10.1214/22-EJP866.
short: M. Kolb, M. Liesenfeld, Electronic Journal of Probability (2022) 1–28.
date_created: 2023-01-10T08:19:25Z
date_updated: 2023-01-10T08:19:38Z
department:
- _id: '96'
doi: https://doi.org/10.1214/22-EJP866
issue: '27'
language:
- iso: eng
page: 1-28
publication: Electronic Journal of Probability
publication_status: published
publisher: Institute of Mathematical Statistics
status: public
title: On non-extinction in a Fleming-Viot-type particle model with Bessel drift
type: journal_article
user_id: '85821'
year: '2022'
...
---
_id: '35650'
abstract:
- lang: eng
text: "We consider autoregressive sequences Xn = aXn−1 + ξn and\r\nMn = max{aMn−1
, ξn} with a constant a ∈ (0, 1) and with positive, in-\r\ndependent and identically
distributed innovations {ξk }. It is known that if\r\nP(ξ1 > x) ∼ d\r\nlog x with
some d ∈ (0, − log a) then the chains {Xn} and {Mn}\r\nare null recurrent. We
investigate the tail behaviour of recurrence times in this\r\ncase of logarithmically
decaying tails. More precisely, we show that the tails\r\nof recurrence times
are regularly varying of index −1 − d/ log a. We also prove\r\nlimit theorems
for {Xn} and {Mn} conditioned to stay over a fixed level x0.\r\nFurthermore, we
study tail asymptotics for recurrence times of {Xn} and {Mn}\r\nin the case when
these chains are positive recurrent and the tail of log ξ1 is\r\nsubexponential."
author:
- first_name: Denis
full_name: Denisov, Denis
last_name: Denisov
- first_name: Günter
full_name: Hinrichs, Günter
last_name: Hinrichs
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Vitali
full_name: Wachtel, Vitali
last_name: Wachtel
citation:
ama: Denisov D, Hinrichs G, Kolb M, Wachtel V. Persistence of autoregressive sequences
with logarithmic tails. Electronic Journal of Probability. 2022;27:1-43.
doi:https://doi.org/10.48550/arXiv.2203.14772
apa: Denisov, D., Hinrichs, G., Kolb, M., & Wachtel, V. (2022). Persistence
of autoregressive sequences with logarithmic tails. Electronic Journal of Probability,
27, 1–43. https://doi.org/10.48550/arXiv.2203.14772
bibtex: '@article{Denisov_Hinrichs_Kolb_Wachtel_2022, title={Persistence of autoregressive
sequences with logarithmic tails}, volume={27}, DOI={https://doi.org/10.48550/arXiv.2203.14772},
journal={Electronic Journal of Probability}, publisher={Institute of Mathematical
Statistics}, author={Denisov, Denis and Hinrichs, Günter and Kolb, Martin and
Wachtel, Vitali}, year={2022}, pages={1–43} }'
chicago: 'Denisov, Denis, Günter Hinrichs, Martin Kolb, and Vitali Wachtel. “Persistence
of Autoregressive Sequences with Logarithmic Tails.” Electronic Journal of
Probability 27 (2022): 1–43. https://doi.org/10.48550/arXiv.2203.14772.'
ieee: 'D. Denisov, G. Hinrichs, M. Kolb, and V. Wachtel, “Persistence of autoregressive
sequences with logarithmic tails,” Electronic Journal of Probability, vol.
27, pp. 1–43, 2022, doi: https://doi.org/10.48550/arXiv.2203.14772.'
mla: Denisov, Denis, et al. “Persistence of Autoregressive Sequences with Logarithmic
Tails.” Electronic Journal of Probability, vol. 27, Institute of Mathematical
Statistics, 2022, pp. 1–43, doi:https://doi.org/10.48550/arXiv.2203.14772.
short: D. Denisov, G. Hinrichs, M. Kolb, V. Wachtel, Electronic Journal of Probability
27 (2022) 1–43.
date_created: 2023-01-10T08:28:12Z
date_updated: 2023-01-10T08:29:02Z
department:
- _id: '96'
doi: https://doi.org/10.48550/arXiv.2203.14772
intvolume: ' 27'
language:
- iso: eng
page: 1-43
publication: Electronic Journal of Probability
publication_status: published
publisher: Institute of Mathematical Statistics
status: public
title: Persistence of autoregressive sequences with logarithmic tails
type: journal_article
user_id: '85821'
volume: 27
year: '2022'
...
---
_id: '31367'
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. Schnittstellenaufgaben in der Analysis I zur Verknüpfung
von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.
In: Halverscheid S, Kersten I, Schmidt-Thieme B, eds. Bedarfsgerechte fachmathematische
Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen
. Springer Spektrum; 2022:351-368.'
apa: Hoffmann, M., & Biehler, R. (2022). Schnittstellenaufgaben in der Analysis
I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse
einer Evaluationsstudie. In S. Halverscheid, I. Kersten, & B. Schmidt-Thieme
(Eds.), Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen
und Konzepte unter heterogenen Voraussetzungen (pp. 351–368). Springer Spektrum.
bibtex: '@inproceedings{Hoffmann_Biehler_2022, place={Wiesbaden}, title={Schnittstellenaufgaben
in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele
und Ergebnisse einer Evaluationsstudie.}, booktitle={ Bedarfsgerechte fachmathematische
Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen
}, publisher={Springer Spektrum}, author={Hoffmann, Max and Biehler, Rolf}, editor={Halverscheid,
Stefan and Kersten, Ina and Schmidt-Thieme, Barbara}, year={2022}, pages={351–368}
}'
chicago: 'Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis
I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse
einer Evaluationsstudie.” In Bedarfsgerechte fachmathematische Lehramtsausbildung.
Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , edited
by Stefan Halverscheid, Ina Kersten, and Barbara Schmidt-Thieme, 351–68. Wiesbaden:
Springer Spektrum, 2022.'
ieee: M. Hoffmann and R. Biehler, “Schnittstellenaufgaben in der Analysis I zur
Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse
einer Evaluationsstudie.,” in Bedarfsgerechte fachmathematische Lehramtsausbildung.
Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , 2022,
pp. 351–368.
mla: Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I
zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse
einer Evaluationsstudie.” Bedarfsgerechte fachmathematische Lehramtsausbildung.
Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , edited
by Stefan Halverscheid et al., Springer Spektrum, 2022, pp. 351–68.
short: 'M. Hoffmann, R. Biehler, in: S. Halverscheid, I. Kersten, B. Schmidt-Thieme
(Eds.), Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen
und Konzepte unter heterogenen Voraussetzungen , Springer Spektrum, Wiesbaden,
2022, pp. 351–368.'
date_created: 2022-05-22T14:16:52Z
date_updated: 2023-01-11T15:28:21Z
department:
- _id: '97'
editor:
- first_name: Stefan
full_name: Halverscheid, Stefan
last_name: Halverscheid
- first_name: Ina
full_name: Kersten, Ina
last_name: Kersten
- first_name: Barbara
full_name: Schmidt-Thieme, Barbara
last_name: Schmidt-Thieme
language:
- iso: ger
page: 351-368
place: Wiesbaden
publication: ' Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen
und Konzepte unter heterogenen Voraussetzungen '
publication_status: published
publisher: Springer Spektrum
quality_controlled: '1'
status: public
title: Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik
- Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.
type: conference
user_id: '32202'
year: '2022'
...
---
_id: '31365'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
citation:
ama: 'Biehler R, Hoffmann M. Fachwissen als Grundlage fachdidaktischer Urteilskompetenz
– Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher
und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In: Isaev V, Eichler
A, Loose F, eds. Professionsorientierte Fachwissenschaft. Kohärenzstiftende
Lerngelegenheiten für das Lehramtsstudium Mathematik. Springer; 2022:49–72.
doi:10.1007/978-3-662-63948-1_4'
apa: Biehler, R., & Hoffmann, M. (2022). Fachwissen als Grundlage fachdidaktischer
Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.
In V. Isaev, A. Eichler, & F. Loose (Eds.), Professionsorientierte Fachwissenschaft.
Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik (pp.
49–72). Springer. https://doi.org/10.1007/978-3-662-63948-1_4
bibtex: '@inproceedings{Biehler_Hoffmann_2022, place={Berlin, Heidelberg}, title={Fachwissen
als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung
konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre
im gymnasialen Lehramtsstudium}, DOI={10.1007/978-3-662-63948-1_4},
booktitle={ Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten
für das Lehramtsstudium Mathematik}, publisher={Springer}, author={Biehler, Rolf
and Hoffmann, Max}, editor={Isaev, Viktor and Eichler, Andreas and Loose, Frank},
year={2022}, pages={49–72} }'
chicago: 'Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer
Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.”
In Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten
für das Lehramtsstudium Mathematik, edited by Viktor Isaev, Andreas Eichler,
and Frank Loose, 49–72. Berlin, Heidelberg: Springer, 2022. https://doi.org/10.1007/978-3-662-63948-1_4.'
ieee: 'R. Biehler and M. Hoffmann, “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz
– Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher
und fachdidaktischer Lehre im gymnasialen Lehramtsstudium,” in Professionsorientierte
Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium
Mathematik, 2022, pp. 49–72, doi: 10.1007/978-3-662-63948-1_4.'
mla: Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer
Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.”
Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten
für das Lehramtsstudium Mathematik, edited by Viktor Isaev et al., Springer,
2022, pp. 49–72, doi:10.1007/978-3-662-63948-1_4.
short: 'R. Biehler, M. Hoffmann, in: V. Isaev, A. Eichler, F. Loose (Eds.), Professionsorientierte
Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium
Mathematik, Springer, Berlin, Heidelberg, 2022, pp. 49–72.'
date_created: 2022-05-22T14:03:58Z
date_updated: 2023-01-11T15:29:09Z
department:
- _id: '97'
doi: 10.1007/978-3-662-63948-1_4
editor:
- first_name: Viktor
full_name: Isaev, Viktor
last_name: Isaev
- first_name: Andreas
full_name: Eichler, Andreas
last_name: Eichler
- first_name: Frank
full_name: Loose, Frank
last_name: Loose
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-662-63948-1_4
page: ' 49–72'
place: Berlin, Heidelberg
publication: ' Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten
für das Lehramtsstudium Mathematik'
publication_identifier:
isbn:
- '9783662639474'
- '9783662639481'
issn:
- 2197-8751
- 2197-876X
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für
die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer
Lehre im gymnasialen Lehramtsstudium
type: conference
user_id: '32202'
year: '2022'
...
---
_id: '45373'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
- first_name: P.
full_name: Neugebauer, P.
last_name: Neugebauer
- first_name: R.
full_name: Delucchi Danhier, R.
last_name: Delucchi Danhier
- first_name: B.
full_name: Mertins, B.
last_name: Mertins
citation:
ama: 'Dröse J, Neugebauer P, Delucchi Danhier R, Mertins B. Eye-Tracking Studie
zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer Strukturen.
In: Kleine P, Graulich N, Kuhn J, Schindler M, eds. Eye-Tracking in der Mathematik-
und Naturwissenschaftsdidaktik. Forschung und Praxis. ; 2022:209-225. doi:https://doi.org/10.1007/978-3-662-63214-7'
apa: 'Dröse, J., Neugebauer, P., Delucchi Danhier, R., & Mertins, B. (2022).
Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer
Strukturen. In P. Kleine, N. Graulich, J. Kuhn, & M. Schindler (Eds.), Eye-Tracking
in der Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis (pp.
209–225). https://doi.org/10.1007/978-3-662-63214-7'
bibtex: '@inbook{Dröse_Neugebauer_Delucchi Danhier_Mertins_2022, title={Eye-Tracking
Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer
Strukturen}, DOI={https://doi.org/10.1007/978-3-662-63214-7},
booktitle={Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung
und Praxis}, author={Dröse, Jennifer and Neugebauer, P. and Delucchi Danhier,
R. and Mertins, B.}, editor={Kleine, P. and Graulich, N. and Kuhn, J. and Schindler,
M.}, year={2022}, pages={209–225} }'
chicago: 'Dröse, Jennifer, P. Neugebauer, R. Delucchi Danhier, and B. Mertins. “Eye-Tracking
Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer
Strukturen.” In Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik.
Forschung und Praxis, edited by P. Kleine, N. Graulich, J. Kuhn, and M. Schindler,
209–25, 2022. https://doi.org/10.1007/978-3-662-63214-7.'
ieee: 'J. Dröse, P. Neugebauer, R. Delucchi Danhier, and B. Mertins, “Eye-Tracking
Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer
Strukturen,” in Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik.
Forschung und Praxis, P. Kleine, N. Graulich, J. Kuhn, and M. Schindler, Eds.
2022, pp. 209–225.'
mla: 'Dröse, Jennifer, et al. “Eye-Tracking Studie zu Textaufgaben in Klasse 5:
Bemerken und Interpretieren syntaktischer Strukturen.” Eye-Tracking in der
Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis, edited by
P. Kleine et al., 2022, pp. 209–25, doi:https://doi.org/10.1007/978-3-662-63214-7.'
short: 'J. Dröse, P. Neugebauer, R. Delucchi Danhier, B. Mertins, in: P. Kleine,
N. Graulich, J. Kuhn, M. Schindler (Eds.), Eye-Tracking in der Mathematik- und
Naturwissenschaftsdidaktik. Forschung und Praxis, 2022, pp. 209–225.'
date_created: 2023-05-31T06:22:21Z
date_updated: 2023-11-02T08:07:31Z
department:
- _id: '98'
doi: https://doi.org/10.1007/978-3-662-63214-7
editor:
- first_name: P.
full_name: Kleine, P.
last_name: Kleine
- first_name: N.
full_name: Graulich, N.
last_name: Graulich
- first_name: J.
full_name: Kuhn, J.
last_name: Kuhn
- first_name: M.
full_name: Schindler, M.
last_name: Schindler
language:
- iso: ger
page: 209-225
publication: Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung
und Praxis
quality_controlled: '1'
status: public
title: 'Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren
syntaktischer Strukturen'
type: book_chapter
user_id: '85820'
year: '2022'
...