---
_id: '55429'
abstract:
- lang: eng
  text: A detailed understanding of the cognitive process underlying diagnostic reasoning
    in medical experts is currently lacking. While high-level theories like hypothetico-deductive
    reasoning were proposed long ago, the inner workings of the step-by-step dynamics
    within the mind remain unknown. We present a fully automated approach to elicit,
    monitor, and record diagnostic reasoning processes at a fine-grained level. A
    web-based user interface enables physicians to carry out a full diagnosis process
    on a simulated patient, given as a pre-defined clinical vignette. By collecting
    the physician’s information queries and hypothesis revisions, highly detailed
    diagnostic reasoning trajectories are captured leading to a diagnosis and its
    justification. Four expert epileptologists with a mean experience of 19 years
    were recruited to evaluate the system and share their impressions in semi-structured
    interviews. We find that the recorded trajectories validate proposed theories
    on broader diagnostic reasoning, while also providing valuable additional details
    extending previous findings.
author:
- first_name: Dominik
  full_name: Battefeld, Dominik
  id: '91864'
  last_name: Battefeld
  orcid: 0000-0002-5480-0594
- first_name: Sigrid
  full_name: Mues, Sigrid
  last_name: Mues
- first_name: Tim
  full_name: Wehner, Tim
  last_name: Wehner
- first_name: Patrick
  full_name: House, Patrick
  last_name: House
- first_name: Christoph
  full_name: Kellinghaus, Christoph
  last_name: Kellinghaus
- first_name: Jörg
  full_name: Wellmer, Jörg
  last_name: Wellmer
- first_name: Stefan
  full_name: Kopp, Stefan
  last_name: Kopp
citation:
  ama: 'Battefeld D, Mues S, Wehner T, et al. Revealing the Dynamics of Medical Diagnostic
    Reasoning as Step-by-Step Cognitive Process Trajectories. In: <i>Proceedings of
    the 46th Annual Conference of the Cognitive Science Society</i>. ; 2024.'
  apa: Battefeld, D., Mues, S., Wehner, T., House, P., Kellinghaus, C., Wellmer, J.,
    &#38; Kopp, S. (2024). Revealing the Dynamics of Medical Diagnostic Reasoning
    as Step-by-Step Cognitive Process Trajectories. <i>Proceedings of the 46th Annual
    Conference of the Cognitive Science Society</i>. The Annual Meeting of the Cognitive
    Science Society, Rotterdam, NL.
  bibtex: '@inproceedings{Battefeld_Mues_Wehner_House_Kellinghaus_Wellmer_Kopp_2024,
    title={Revealing the Dynamics of Medical Diagnostic Reasoning as Step-by-Step
    Cognitive Process Trajectories}, booktitle={Proceedings of the 46th Annual Conference
    of the Cognitive Science Society}, author={Battefeld, Dominik and Mues, Sigrid
    and Wehner, Tim and House, Patrick and Kellinghaus, Christoph and Wellmer, Jörg
    and Kopp, Stefan}, year={2024} }'
  chicago: Battefeld, Dominik, Sigrid Mues, Tim Wehner, Patrick House, Christoph Kellinghaus,
    Jörg Wellmer, and Stefan Kopp. “Revealing the Dynamics of Medical Diagnostic Reasoning
    as Step-by-Step Cognitive Process Trajectories.” In <i>Proceedings of the 46th
    Annual Conference of the Cognitive Science Society</i>, 2024.
  ieee: D. Battefeld <i>et al.</i>, “Revealing the Dynamics of Medical Diagnostic
    Reasoning as Step-by-Step Cognitive Process Trajectories,” presented at the The
    Annual Meeting of the Cognitive Science Society, Rotterdam, NL, 2024.
  mla: Battefeld, Dominik, et al. “Revealing the Dynamics of Medical Diagnostic Reasoning
    as Step-by-Step Cognitive Process Trajectories.” <i>Proceedings of the 46th Annual
    Conference of the Cognitive Science Society</i>, 2024.
  short: 'D. Battefeld, S. Mues, T. Wehner, P. House, C. Kellinghaus, J. Wellmer,
    S. Kopp, in: Proceedings of the 46th Annual Conference of the Cognitive Science
    Society, 2024.'
conference:
  end_date: 2024-07-27
  location: Rotterdam, NL
  name: The Annual Meeting of the Cognitive Science Society
  start_date: 2024-07-24
date_created: 2024-07-30T08:17:35Z
date_updated: 2025-09-23T15:11:19Z
ddc:
- '000'
department:
- _id: '660'
file:
- access_level: closed
  content_type: application/pdf
  creator: doba2
  date_created: 2024-07-30T08:21:13Z
  date_updated: 2024-07-30T08:21:13Z
  file_id: '55430'
  file_name: Battefeld_2024_Revealing-the-dynamics.pdf
  file_size: 486513
  relation: main_file
  success: 1
file_date_updated: 2024-07-30T08:21:13Z
has_accepted_license: '1'
keyword:
- Differential Diagnosis
- Diagnostic Reasoning
- Reasoning Process Analysis
- Seizure
- Epilepsy
language:
- iso: eng
project:
- _id: '128'
  name: 'TRR 318 - C5: TRR 318 - Subproject C5'
publication: Proceedings of the 46th Annual Conference of the Cognitive Science Society
publication_status: published
quality_controlled: '1'
status: public
title: Revealing the Dynamics of Medical Diagnostic Reasoning as Step-by-Step Cognitive
  Process Trajectories
type: conference
user_id: '91864'
year: '2024'
...
---
_id: '47522'
abstract:
- lang: eng
  text: Artificial benchmark functions are commonly used in optimization research
    because of their ability to rapidly evaluate potential solutions, making them
    a preferred substitute for real-world problems. However, these benchmark functions
    have faced criticism for their limited resemblance to real-world problems. In
    response, recent research has focused on automatically generating new benchmark
    functions for areas where established test suites are inadequate. These approaches
    have limitations, such as the difficulty of generating new benchmark functions
    that exhibit exploratory landscape analysis (ELA) features beyond those of existing
    benchmarks.The objective of this work is to develop a method for generating benchmark
    functions for single-objective continuous optimization with user-specified structural
    properties. Specifically, we aim to demonstrate a proof of concept for a method
    that uses an ELA feature vector to specify these properties in advance. To achieve
    this, we begin by generating a random sample of decision space variables and objective
    values. We then adjust the objective values using CMA-ES until the corresponding
    features of our new problem match the predefined ELA features within a specified
    threshold. By iteratively transforming the landscape in this way, we ensure that
    the resulting function exhibits the desired properties. To create the final function,
    we use the resulting point cloud as training data for a simple neural network
    that produces a function exhibiting the target ELA features. We demonstrate the
    effectiveness of this approach by replicating the existing functions of the well-known
    BBOB suite and creating new functions with ELA feature values that are not present
    in BBOB.
author:
- first_name: Raphael Patrick
  full_name: Prager, Raphael Patrick
  last_name: Prager
- first_name: Konstantin
  full_name: Dietrich, Konstantin
  last_name: Dietrich
- first_name: Lennart
  full_name: Schneider, Lennart
  last_name: Schneider
- first_name: Lennart
  full_name: Schäpermeier, Lennart
  last_name: Schäpermeier
- first_name: Bernd
  full_name: Bischl, Bernd
  last_name: Bischl
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
- first_name: Olaf
  full_name: Mersmann, Olaf
  last_name: Mersmann
citation:
  ama: 'Prager RP, Dietrich K, Schneider L, et al. Neural Networks as Black-Box Benchmark
    Functions Optimized for Exploratory Landscape Features. In: <i>Proceedings of
    the 17th ACM/SIGEVO Conference on Foundations of Genetic Algorithms</i>. FOGA
    ’23. Association for Computing Machinery; 2023:129–139. doi:<a href="https://doi.org/10.1145/3594805.3607136">10.1145/3594805.3607136</a>'
  apa: Prager, R. P., Dietrich, K., Schneider, L., Schäpermeier, L., Bischl, B., Kerschke,
    P., Trautmann, H., &#38; Mersmann, O. (2023). Neural Networks as Black-Box Benchmark
    Functions Optimized for Exploratory Landscape Features. <i>Proceedings of the
    17th ACM/SIGEVO Conference on Foundations of Genetic Algorithms</i>, 129–139.
    <a href="https://doi.org/10.1145/3594805.3607136">https://doi.org/10.1145/3594805.3607136</a>
  bibtex: '@inproceedings{Prager_Dietrich_Schneider_Schäpermeier_Bischl_Kerschke_Trautmann_Mersmann_2023,
    place={New York, NY, USA}, series={FOGA ’23}, title={Neural Networks as Black-Box
    Benchmark Functions Optimized for Exploratory Landscape Features}, DOI={<a href="https://doi.org/10.1145/3594805.3607136">10.1145/3594805.3607136</a>},
    booktitle={Proceedings of the 17th ACM/SIGEVO Conference on Foundations of Genetic
    Algorithms}, publisher={Association for Computing Machinery}, author={Prager,
    Raphael Patrick and Dietrich, Konstantin and Schneider, Lennart and Schäpermeier,
    Lennart and Bischl, Bernd and Kerschke, Pascal and Trautmann, Heike and Mersmann,
    Olaf}, year={2023}, pages={129–139}, collection={FOGA ’23} }'
  chicago: 'Prager, Raphael Patrick, Konstantin Dietrich, Lennart Schneider, Lennart
    Schäpermeier, Bernd Bischl, Pascal Kerschke, Heike Trautmann, and Olaf Mersmann.
    “Neural Networks as Black-Box Benchmark Functions Optimized for Exploratory Landscape
    Features.” In <i>Proceedings of the 17th ACM/SIGEVO Conference on Foundations
    of Genetic Algorithms</i>, 129–139. FOGA ’23. New York, NY, USA: Association for
    Computing Machinery, 2023. <a href="https://doi.org/10.1145/3594805.3607136">https://doi.org/10.1145/3594805.3607136</a>.'
  ieee: 'R. P. Prager <i>et al.</i>, “Neural Networks as Black-Box Benchmark Functions
    Optimized for Exploratory Landscape Features,” in <i>Proceedings of the 17th ACM/SIGEVO
    Conference on Foundations of Genetic Algorithms</i>, 2023, pp. 129–139, doi: <a
    href="https://doi.org/10.1145/3594805.3607136">10.1145/3594805.3607136</a>.'
  mla: Prager, Raphael Patrick, et al. “Neural Networks as Black-Box Benchmark Functions
    Optimized for Exploratory Landscape Features.” <i>Proceedings of the 17th ACM/SIGEVO
    Conference on Foundations of Genetic Algorithms</i>, Association for Computing
    Machinery, 2023, pp. 129–139, doi:<a href="https://doi.org/10.1145/3594805.3607136">10.1145/3594805.3607136</a>.
  short: 'R.P. Prager, K. Dietrich, L. Schneider, L. Schäpermeier, B. Bischl, P. Kerschke,
    H. Trautmann, O. Mersmann, in: Proceedings of the 17th ACM/SIGEVO Conference on
    Foundations of Genetic Algorithms, Association for Computing Machinery, New York,
    NY, USA, 2023, pp. 129–139.'
date_created: 2023-09-27T15:43:17Z
date_updated: 2023-10-16T12:33:02Z
department:
- _id: '34'
- _id: '819'
doi: 10.1145/3594805.3607136
keyword:
- Benchmarking
- Instance Generator
- Black-Box Continuous Optimization
- Exploratory Landscape Analysis
- Neural Networks
language:
- iso: eng
page: 129–139
place: New York, NY, USA
publication: Proceedings of the 17th ACM/SIGEVO Conference on Foundations of Genetic
  Algorithms
publication_identifier:
  isbn:
  - '9798400702020'
publisher: Association for Computing Machinery
series_title: FOGA ’23
status: public
title: Neural Networks as Black-Box Benchmark Functions Optimized for Exploratory
  Landscape Features
type: conference
user_id: '15504'
year: '2023'
...
---
_id: '48872'
abstract:
- lang: eng
  text: Quality diversity (QD) is a branch of evolutionary computation that gained
    increasing interest in recent years. The Map-Elites QD approach defines a feature
    space, i.e., a partition of the search space, and stores the best solution for
    each cell of this space. We study a simple QD algorithm in the context of pseudo-Boolean
    optimisation on the "number of ones" feature space, where the ith cell stores
    the best solution amongst those with a number of ones in [(i - 1)k, ik - 1]. Here
    k is a granularity parameter 1 {$\leq$} k {$\leq$} n+1. We give a tight bound
    on the expected time until all cells are covered for arbitrary fitness functions
    and for all k and analyse the expected optimisation time of QD on OneMax and other
    problems whose structure aligns favourably with the feature space. On combinatorial
    problems we show that QD finds a (1 - 1/e)-approximation when maximising any monotone
    sub-modular function with a single uniform cardinality constraint efficiently.
    Defining the feature space as the number of connected components of a connected
    graph, we show that QD finds a minimum spanning tree in expected polynomial time.
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Dirk
  full_name: Sudholt, Dirk
  last_name: Sudholt
citation:
  ama: 'Bossek J, Sudholt D. Runtime Analysis of Quality Diversity Algorithms. In:
    <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>. GECCO’23.
    Association for Computing Machinery; 2023:1546–1554. doi:<a href="https://doi.org/10.1145/3583131.3590383">10.1145/3583131.3590383</a>'
  apa: Bossek, J., &#38; Sudholt, D. (2023). Runtime Analysis of Quality Diversity
    Algorithms. <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>,
    1546–1554. <a href="https://doi.org/10.1145/3583131.3590383">https://doi.org/10.1145/3583131.3590383</a>
  bibtex: '@inproceedings{Bossek_Sudholt_2023, place={New York, NY, USA}, series={GECCO’23},
    title={Runtime Analysis of Quality Diversity Algorithms}, DOI={<a href="https://doi.org/10.1145/3583131.3590383">10.1145/3583131.3590383</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference},
    publisher={Association for Computing Machinery}, author={Bossek, Jakob and Sudholt,
    Dirk}, year={2023}, pages={1546–1554}, collection={GECCO’23} }'
  chicago: 'Bossek, Jakob, and Dirk Sudholt. “Runtime Analysis of Quality Diversity
    Algorithms.” In <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>,
    1546–1554. GECCO’23. New York, NY, USA: Association for Computing Machinery, 2023.
    <a href="https://doi.org/10.1145/3583131.3590383">https://doi.org/10.1145/3583131.3590383</a>.'
  ieee: 'J. Bossek and D. Sudholt, “Runtime Analysis of Quality Diversity Algorithms,”
    in <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>,
    2023, pp. 1546–1554, doi: <a href="https://doi.org/10.1145/3583131.3590383">10.1145/3583131.3590383</a>.'
  mla: Bossek, Jakob, and Dirk Sudholt. “Runtime Analysis of Quality Diversity Algorithms.”
    <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>, Association
    for Computing Machinery, 2023, pp. 1546–1554, doi:<a href="https://doi.org/10.1145/3583131.3590383">10.1145/3583131.3590383</a>.
  short: 'J. Bossek, D. Sudholt, in: Proceedings of the Genetic and Evolutionary Computation
    Conference, Association for Computing Machinery, New York, NY, USA, 2023, pp.
    1546–1554.'
date_created: 2023-11-14T15:58:57Z
date_updated: 2023-12-13T10:48:26Z
department:
- _id: '819'
doi: 10.1145/3583131.3590383
extern: '1'
keyword:
- quality diversity
- runtime analysis
language:
- iso: eng
page: 1546–1554
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - '9798400701191'
publisher: Association for Computing Machinery
series_title: GECCO’23
status: public
title: Runtime Analysis of Quality Diversity Algorithms
type: conference
user_id: '102979'
year: '2023'
...
---
_id: '48886'
abstract:
- lang: eng
  text: 'Generating new instances via evolutionary methods is commonly used to create
    new benchmarking data-sets, with a focus on attempting to cover an instance-space
    as completely as possible. Recent approaches have exploited Quality-Diversity
    methods to evolve sets of instances that are both diverse and discriminatory with
    respect to a portfolio of solvers, but these methods can be challenging when attempting
    to find diversity in a high-dimensional feature-space. We address this issue by
    training a model based on Principal Component Analysis on existing instances to
    create a low-dimension projection of the high-dimension feature-vectors, and then
    apply Novelty Search directly in the new low-dimension space. We conduct experiments
    to evolve diverse and discriminatory instances of Knapsack Problems, comparing
    the use of Novelty Search in the original feature-space to using Novelty Search
    in a low-dimensional projection, and repeat over a given set of dimensions. We
    find that the methods are complementary: if treated as an ensemble, they collectively
    provide increased coverage of the space. Specifically, searching for novelty in
    a low-dimension space contributes 56% of the filled regions of the space, while
    searching directly in the feature-space covers the remaining 44%.'
author:
- first_name: Alejandro
  full_name: Marrero, Alejandro
  last_name: Marrero
- first_name: Eduardo
  full_name: Segredo, Eduardo
  last_name: Segredo
- first_name: Emma
  full_name: Hart, Emma
  last_name: Hart
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Aneta
  full_name: Neumann, Aneta
  last_name: Neumann
citation:
  ama: 'Marrero A, Segredo E, Hart E, Bossek J, Neumann A. Generating Diverse and
    Discriminatory Knapsack Instances by Searching for Novelty in Variable Dimensions
    of Feature-Space. In: <i>Proceedings of the Genetic} and Evolutionary Computation
    Conference</i>. GECCO’23. Association for Computing Machinery; 2023:312–320. doi:<a
    href="https://doi.org/10.1145/3583131.3590504">10.1145/3583131.3590504</a>'
  apa: Marrero, A., Segredo, E., Hart, E., Bossek, J., &#38; Neumann, A. (2023). Generating
    Diverse and Discriminatory Knapsack Instances by Searching for Novelty in Variable
    Dimensions of Feature-Space. <i>Proceedings of the Genetic} and Evolutionary Computation
    Conference</i>, 312–320. <a href="https://doi.org/10.1145/3583131.3590504">https://doi.org/10.1145/3583131.3590504</a>
  bibtex: '@inproceedings{Marrero_Segredo_Hart_Bossek_Neumann_2023, place={New York,
    NY, USA}, series={GECCO’23}, title={Generating Diverse and Discriminatory Knapsack
    Instances by Searching for Novelty in Variable Dimensions of Feature-Space}, DOI={<a
    href="https://doi.org/10.1145/3583131.3590504">10.1145/3583131.3590504</a>}, booktitle={Proceedings
    of the Genetic} and Evolutionary Computation Conference}, publisher={Association
    for Computing Machinery}, author={Marrero, Alejandro and Segredo, Eduardo and
    Hart, Emma and Bossek, Jakob and Neumann, Aneta}, year={2023}, pages={312–320},
    collection={GECCO’23} }'
  chicago: 'Marrero, Alejandro, Eduardo Segredo, Emma Hart, Jakob Bossek, and Aneta
    Neumann. “Generating Diverse and Discriminatory Knapsack Instances by Searching
    for Novelty in Variable Dimensions of Feature-Space.” In <i>Proceedings of the
    Genetic} and Evolutionary Computation Conference</i>, 312–320. GECCO’23. New York,
    NY, USA: Association for Computing Machinery, 2023. <a href="https://doi.org/10.1145/3583131.3590504">https://doi.org/10.1145/3583131.3590504</a>.'
  ieee: 'A. Marrero, E. Segredo, E. Hart, J. Bossek, and A. Neumann, “Generating Diverse
    and Discriminatory Knapsack Instances by Searching for Novelty in Variable Dimensions
    of Feature-Space,” in <i>Proceedings of the Genetic} and Evolutionary Computation
    Conference</i>, 2023, pp. 312–320, doi: <a href="https://doi.org/10.1145/3583131.3590504">10.1145/3583131.3590504</a>.'
  mla: Marrero, Alejandro, et al. “Generating Diverse and Discriminatory Knapsack
    Instances by Searching for Novelty in Variable Dimensions of Feature-Space.” <i>Proceedings
    of the Genetic} and Evolutionary Computation Conference</i>, Association for Computing
    Machinery, 2023, pp. 312–320, doi:<a href="https://doi.org/10.1145/3583131.3590504">10.1145/3583131.3590504</a>.
  short: 'A. Marrero, E. Segredo, E. Hart, J. Bossek, A. Neumann, in: Proceedings
    of the Genetic} and Evolutionary Computation Conference, Association for Computing
    Machinery, New York, NY, USA, 2023, pp. 312–320.'
date_created: 2023-11-14T15:58:59Z
date_updated: 2023-12-13T10:49:32Z
department:
- _id: '819'
doi: 10.1145/3583131.3590504
extern: '1'
keyword:
- evolutionary computation
- instance generation
- instance-space analysis
- knapsack problem
- novelty search
language:
- iso: eng
page: 312–320
place: New York, NY, USA
publication: Proceedings of the Genetic} and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - '9798400701191'
publisher: Association for Computing Machinery
series_title: GECCO’23
status: public
title: Generating Diverse and Discriminatory Knapsack Instances by Searching for Novelty
  in Variable Dimensions of Feature-Space
type: conference
user_id: '102979'
year: '2023'
...
---
_id: '48871'
abstract:
- lang: eng
  text: 'Most runtime analyses of randomised search heuristics focus on the expected
    number of function evaluations to find a unique global optimum. We ask a fundamental
    question: if additional search points are declared optimal, or declared as desirable
    target points, do these additional optima speed up evolutionary algorithms? More
    formally, we analyse the expected hitting time of a target set OPT{$\cup$}S where
    S is a set of non-optimal search points and OPT is the set of optima and compare
    it to the expected hitting time of OPT. We show that the answer to our question
    depends on the number and placement of search points in S. For all black-box algorithms
    and all fitness functions with polynomial expected optimisation times we show
    that, if additional optima are placed randomly, even an exponential number of
    optima has a negligible effect on the expected optimisation time. Considering
    Hamming balls around all global optima gives an easier target for some algorithms
    and functions and can shift the phase transition with respect to offspring population
    sizes in the (1,{$\lambda$}) EA on OneMax. However, for the one-dimensional Ising
    model the time to reach Hamming balls of radius (1/2-{$ϵ$})n around optima does
    not reduce the asymptotic expected optimisation time in the worst case. Finally,
    on functions where search trajectories typically join in a single search point,
    turning one search point into an optimum drastically reduces the expected optimisation
    time.'
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Dirk
  full_name: Sudholt, Dirk
  last_name: Sudholt
citation:
  ama: Bossek J, Sudholt D. Do Additional Target Points Speed Up Evolutionary Algorithms?
    <i>Theoretical Computer Science</i>. Published online 2023:113757. doi:<a href="https://doi.org/10.1016/j.tcs.2023.113757">10.1016/j.tcs.2023.113757</a>
  apa: Bossek, J., &#38; Sudholt, D. (2023). Do Additional Target Points Speed Up
    Evolutionary Algorithms? <i>Theoretical Computer Science</i>, 113757. <a href="https://doi.org/10.1016/j.tcs.2023.113757">https://doi.org/10.1016/j.tcs.2023.113757</a>
  bibtex: '@article{Bossek_Sudholt_2023, title={Do Additional Target Points Speed
    Up Evolutionary Algorithms?}, DOI={<a href="https://doi.org/10.1016/j.tcs.2023.113757">10.1016/j.tcs.2023.113757</a>},
    journal={Theoretical Computer Science}, author={Bossek, Jakob and Sudholt, Dirk},
    year={2023}, pages={113757} }'
  chicago: Bossek, Jakob, and Dirk Sudholt. “Do Additional Target Points Speed Up
    Evolutionary Algorithms?” <i>Theoretical Computer Science</i>, 2023, 113757. <a
    href="https://doi.org/10.1016/j.tcs.2023.113757">https://doi.org/10.1016/j.tcs.2023.113757</a>.
  ieee: 'J. Bossek and D. Sudholt, “Do Additional Target Points Speed Up Evolutionary
    Algorithms?,” <i>Theoretical Computer Science</i>, p. 113757, 2023, doi: <a href="https://doi.org/10.1016/j.tcs.2023.113757">10.1016/j.tcs.2023.113757</a>.'
  mla: Bossek, Jakob, and Dirk Sudholt. “Do Additional Target Points Speed Up Evolutionary
    Algorithms?” <i>Theoretical Computer Science</i>, 2023, p. 113757, doi:<a href="https://doi.org/10.1016/j.tcs.2023.113757">10.1016/j.tcs.2023.113757</a>.
  short: J. Bossek, D. Sudholt, Theoretical Computer Science (2023) 113757.
date_created: 2023-11-14T15:58:56Z
date_updated: 2023-12-13T10:51:07Z
department:
- _id: '819'
doi: 10.1016/j.tcs.2023.113757
keyword:
- Evolutionary algorithms
- pseudo-Boolean functions
- runtime analysis
language:
- iso: eng
page: '113757'
publication: Theoretical Computer Science
publication_identifier:
  issn:
  - 0304-3975
status: public
title: Do Additional Target Points Speed Up Evolutionary Algorithms?
type: journal_article
user_id: '102979'
year: '2023'
...
---
_id: '37058'
abstract:
- lang: eng
  text: "Digital technologies have made the line of visibility more transparent, enabling
    customers to get deeper insights into an organization’s core operations than ever
    before. This creates new challenges for organizations trying to consistently deliver
    high-quality customer experiences. In this paper we conduct an empirical analysis
    of customers’ preferences and their willingness-to-pay for different degrees of
    process transparency, using the example of digitally-enabled business-to-customer
    delivery services. Applying conjoint analysis, we quantify customers’ preferences
    and willingness-to-pay for different service attributes and levels. Our contributions
    are two-fold: For research, we provide empirical measurements of customers’ preferences
    and their willingness-to-pay for process transparency, suggesting that more is
    not always better. Additionally, we provide a blueprint of how conjoint analysis
    can be applied to study design decisions regarding changing an organization’s
    digital line of visibility. For practice, our findings enable service managers
    to make decisions about process transparency and establishing different levels
    of service quality.\r\n"
author:
- first_name: Katharina
  full_name: Brennig, Katharina
  id: '51905'
  last_name: Brennig
- first_name: Oliver
  full_name: Müller, Oliver
  id: '72849'
  last_name: Müller
citation:
  ama: 'Brennig K, Müller O. More Isn’t Always Better – Measuring Customers’ Preferences
    for Digital Process Transparency. In: <i>Hawaii International Conference on System
    Sciences</i>. ; 2023.'
  apa: Brennig, K., &#38; Müller, O. (2023). More Isn’t Always Better – Measuring
    Customers’ Preferences for Digital Process Transparency. <i>Hawaii International
    Conference on System Sciences</i>.  56th Hawaii International Conference on System
    Sciences, Lāhainā.
  bibtex: '@inproceedings{Brennig_Müller_2023, title={More Isn’t Always Better – Measuring
    Customers’ Preferences for Digital Process Transparency}, booktitle={Hawaii International
    Conference on System Sciences}, author={Brennig, Katharina and Müller, Oliver},
    year={2023} }'
  chicago: Brennig, Katharina, and Oliver Müller. “More Isn’t Always Better – Measuring
    Customers’ Preferences for Digital Process Transparency.” In <i>Hawaii International
    Conference on System Sciences</i>, 2023.
  ieee: K. Brennig and O. Müller, “More Isn’t Always Better – Measuring Customers’
    Preferences for Digital Process Transparency,” presented at the  56th Hawaii International
    Conference on System Sciences, Lāhainā, 2023.
  mla: Brennig, Katharina, and Oliver Müller. “More Isn’t Always Better – Measuring
    Customers’ Preferences for Digital Process Transparency.” <i>Hawaii International
    Conference on System Sciences</i>, 2023.
  short: 'K. Brennig, O. Müller, in: Hawaii International Conference on System Sciences,
    2023.'
conference:
  end_date: '20230106'
  location: Lāhainā
  name: ' 56th Hawaii International Conference on System Sciences'
  start_date: '20230103'
date_created: 2023-01-17T11:34:56Z
date_updated: 2024-01-11T11:21:28Z
department:
- _id: '196'
has_accepted_license: '1'
keyword:
- Digital Services
- Line of Visibility
- Process Transparency
- Customer Preferences
- Conjoint Analysis
language:
- iso: eng
publication: Hawaii International Conference on System Sciences
publication_identifier:
  unknown:
  - 978-0-9981331-6-4
publication_status: published
status: public
title: More Isn’t Always Better – Measuring Customers’ Preferences for Digital Process
  Transparency
type: conference
user_id: '51905'
year: '2023'
...
---
_id: '52662'
abstract:
- lang: eng
  text: Static analysis tools support developers in detecting potential coding issues,
    such as bugs or vulnerabilities. Research emphasizes technical challenges of such
    tools but also mentions severe usability shortcomings. These shortcomings hinder
    the adoption of static analysis tools, and user dissatisfaction may even lead
    to tool abandonment. To comprehensively assess the state of the art, we present
    the first systematic usability evaluation of a wide range of static analysis tools.
    We derived a set of 36 relevant criteria from the literature and used them to
    evaluate a total of 46 static analysis tools complying with our inclusion and
    exclusion criteria - a representative set of mainly non-proprietary tools. The
    evaluation against the usability criteria in a multiple-raters approach shows
    that two thirds of the considered tools off er poor warning messages, while about
    three-quarters provide hardly any fix support. Furthermore, the integration of
    user knowledge is strongly neglected, which could be used for instance, to improve
    handling of false positives. Finally, issues regarding workflow integration and
    specialized user interfaces are revealed. These findings should prove useful in
    guiding and focusing further research and development in user experience for static
    code analyses.
author:
- first_name: Marcus
  full_name: Nachtigall, Marcus
  id: '41213'
  last_name: Nachtigall
- first_name: Michael
  full_name: Schlichtig, Michael
  id: '32312'
  last_name: Schlichtig
  orcid: 0000-0001-6600-6171
- first_name: Eric
  full_name: Bodden, Eric
  id: '59256'
  last_name: Bodden
  orcid: 0000-0003-3470-3647
citation:
  ama: 'Nachtigall M, Schlichtig M, Bodden E. Evaluation of Usability Criteria Addressed
    by Static Analysis Tools on a Large Scale. In: <i>Software Engineering 2023</i>.
    Gesellschaft für Informatik e.V.; 2023:95–96.'
  apa: Nachtigall, M., Schlichtig, M., &#38; Bodden, E. (2023). Evaluation of Usability
    Criteria Addressed by Static Analysis Tools on a Large Scale. In <i>Software Engineering
    2023</i> (pp. 95–96). Gesellschaft für Informatik e.V.
  bibtex: '@inbook{Nachtigall_Schlichtig_Bodden_2023, place={Bonn}, title={Evaluation
    of Usability Criteria Addressed by Static Analysis Tools on a Large Scale}, booktitle={Software
    Engineering 2023}, publisher={Gesellschaft für Informatik e.V.}, author={Nachtigall,
    Marcus and Schlichtig, Michael and Bodden, Eric}, year={2023}, pages={95–96} }'
  chicago: 'Nachtigall, Marcus, Michael Schlichtig, and Eric Bodden. “Evaluation of
    Usability Criteria Addressed by Static Analysis Tools on a Large Scale.” In <i>Software
    Engineering 2023</i>, 95–96. Bonn: Gesellschaft für Informatik e.V., 2023.'
  ieee: 'M. Nachtigall, M. Schlichtig, and E. Bodden, “Evaluation of Usability Criteria
    Addressed by Static Analysis Tools on a Large Scale,” in <i>Software Engineering
    2023</i>, Bonn: Gesellschaft für Informatik e.V., 2023, pp. 95–96.'
  mla: Nachtigall, Marcus, et al. “Evaluation of Usability Criteria Addressed by Static
    Analysis Tools on a Large Scale.” <i>Software Engineering 2023</i>, Gesellschaft
    für Informatik e.V., 2023, pp. 95–96.
  short: 'M. Nachtigall, M. Schlichtig, E. Bodden, in: Software Engineering 2023,
    Gesellschaft für Informatik e.V., Bonn, 2023, pp. 95–96.'
date_created: 2024-03-20T09:26:29Z
date_updated: 2024-03-20T09:27:41Z
department:
- _id: '76'
keyword:
- Automated static analysis
- Software usability
language:
- iso: eng
main_file_link:
- url: https://dl.gi.de/items/5afe477f-2f6a-4b3d-b391-f024baf0b7a5
page: 95–96
place: Bonn
publication: Software Engineering 2023
publication_identifier:
  isbn:
  - 978-3-88579-726-5
publisher: Gesellschaft für Informatik e.V.
status: public
title: Evaluation of Usability Criteria Addressed by Static Analysis Tools on a Large
  Scale
type: book_chapter
user_id: '32312'
year: '2023'
...
---
_id: '52660'
abstract:
- lang: eng
  text: Application Programming Interfaces (APIs) are the primary mechanism developers
    use to obtain access to third-party algorithms and services. Unfortunately, APIs
    can be misused, which can have catastrophic consequences, especially if the APIs
    provide security-critical functionalities like cryptography. Understanding what
    API misuses are, and how they are caused, is important to prevent them, eg, with
    API misuse detectors. However, definitions for API misuses and related terms in
    literature vary. This paper presents a systematic literature review to clarify
    these terms and introduces FUM, a novel Framework for API Usage constraint and
    Misuse classification. The literature review revealed that API misuses are violations
    of API usage constraints. To address this, we provide unified definitions and
    use them to derive FUM. To assess the extent to which FUM aids in determining
    and guiding the improvement of an API misuses detector’s capabilities, we performed
    a case study on the state-of the-art misuse detection tool CogniCrypt. The study
    showed that FUM can be used to properly assess CogniCrypt’s capabilities, identify
    weaknesses and assist in deriving mitigations and improvements.
author:
- first_name: Michael
  full_name: Schlichtig, Michael
  id: '32312'
  last_name: Schlichtig
  orcid: 0000-0001-6600-6171
- first_name: Steffen
  full_name: Sassalla, Steffen
  last_name: Sassalla
- first_name: Krishna
  full_name: Narasimhan, Krishna
  last_name: Narasimhan
- first_name: Eric
  full_name: Bodden, Eric
  id: '59256'
  last_name: Bodden
  orcid: 0000-0003-3470-3647
citation:
  ama: 'Schlichtig M, Sassalla S, Narasimhan K, Bodden E. Introducing FUM: A Framework
    for API Usage Constraint and Misuse Classification. In: <i>Software Engineering
    2023</i>. Gesellschaft für Informatik e.V.; 2023:105–106.'
  apa: 'Schlichtig, M., Sassalla, S., Narasimhan, K., &#38; Bodden, E. (2023). Introducing
    FUM: A Framework for API Usage Constraint and Misuse Classification. In <i>Software
    Engineering 2023</i> (pp. 105–106). Gesellschaft für Informatik e.V.'
  bibtex: '@inbook{Schlichtig_Sassalla_Narasimhan_Bodden_2023, place={Bonn}, title={Introducing
    FUM: A Framework for API Usage Constraint and Misuse Classification}, booktitle={Software
    Engineering 2023}, publisher={Gesellschaft für Informatik e.V.}, author={Schlichtig,
    Michael and Sassalla, Steffen and Narasimhan, Krishna and Bodden, Eric}, year={2023},
    pages={105–106} }'
  chicago: 'Schlichtig, Michael, Steffen Sassalla, Krishna Narasimhan, and Eric Bodden.
    “Introducing FUM: A Framework for API Usage Constraint and Misuse Classification.”
    In <i>Software Engineering 2023</i>, 105–106. Bonn: Gesellschaft für Informatik
    e.V., 2023.'
  ieee: 'M. Schlichtig, S. Sassalla, K. Narasimhan, and E. Bodden, “Introducing FUM:
    A Framework for API Usage Constraint and Misuse Classification,” in <i>Software
    Engineering 2023</i>, Bonn: Gesellschaft für Informatik e.V., 2023, pp. 105–106.'
  mla: 'Schlichtig, Michael, et al. “Introducing FUM: A Framework for API Usage Constraint
    and Misuse Classification.” <i>Software Engineering 2023</i>, Gesellschaft für
    Informatik e.V., 2023, pp. 105–106.'
  short: 'M. Schlichtig, S. Sassalla, K. Narasimhan, E. Bodden, in: Software Engineering
    2023, Gesellschaft für Informatik e.V., Bonn, 2023, pp. 105–106.'
date_created: 2024-03-20T09:22:27Z
date_updated: 2024-03-20T09:25:46Z
department:
- _id: '76'
keyword:
- API misuses  API usage constraints
- classification framework
- API misuse detection
- static analysis
language:
- iso: eng
main_file_link:
- url: https://dl.gi.de/items/c4825557-cf3d-4038-933a-d8f95fd324a2
page: 105–106
place: Bonn
publication: Software Engineering 2023
publication_identifier:
  isbn:
  - 978-3-88579-726-5
publisher: Gesellschaft für Informatik e.V.
status: public
title: 'Introducing FUM: A Framework for API Usage Constraint and Misuse Classification'
type: book_chapter
user_id: '32312'
year: '2023'
...
---
_id: '53320'
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. A quantitative strong parabolic maximum principle and application
    to a taxis-type migration–consumption model involving signal-dependent degenerate
    diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>.
    Published online 2023. doi:<a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>
  apa: Winkler, M. (2023). A quantitative strong parabolic maximum principle and application
    to a taxis-type migration–consumption model involving signal-dependent degenerate
    diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>.
    <a href="https://doi.org/10.4171/aihpc/73">https://doi.org/10.4171/aihpc/73</a>
  bibtex: '@article{Winkler_2023, title={A quantitative strong parabolic maximum principle
    and application to a taxis-type migration–consumption model involving signal-dependent
    degenerate diffusion}, DOI={<a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>},
    journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European
    Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael},
    year={2023} }'
  chicago: Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and
    Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent
    Degenerate Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non
    Linéaire</i>, 2023. <a href="https://doi.org/10.4171/aihpc/73">https://doi.org/10.4171/aihpc/73</a>.
  ieee: 'M. Winkler, “A quantitative strong parabolic maximum principle and application
    to a taxis-type migration–consumption model involving signal-dependent degenerate
    diffusion,” <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>,
    2023, doi: <a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>.'
  mla: Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application
    to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate
    Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>,
    European Mathematical Society - EMS - Publishing House GmbH, 2023, doi:<a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>.
  short: M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire
    (2023).
date_created: 2024-04-07T12:34:35Z
date_updated: 2024-04-07T12:36:00Z
doi: 10.4171/aihpc/73
keyword:
- Mathematical Physics
- Analysis
- Applied Mathematics
language:
- iso: eng
publication: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
publication_identifier:
  issn:
  - 0294-1449
  - 1873-1430
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: A quantitative strong parabolic maximum principle and application to a taxis-type
  migration–consumption model involving signal-dependent degenerate diffusion
type: journal_article
user_id: '31496'
year: '2023'
...
---
_id: '53318'
author:
- first_name: Genglin
  full_name: Li, Genglin
  last_name: Li
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Li G, Winkler M. Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities. <i>Applicable Analysis</i>. 2023;103(1):45-64.
    doi:<a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>
  apa: Li, G., &#38; Winkler, M. (2023). Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities. <i>Applicable Analysis</i>, <i>103</i>(1),
    45–64. <a href="https://doi.org/10.1080/00036811.2023.2173183">https://doi.org/10.1080/00036811.2023.2173183</a>
  bibtex: '@article{Li_Winkler_2023, title={Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities}, volume={103}, DOI={<a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>},
    number={1}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Li,
    Genglin and Winkler, Michael}, year={2023}, pages={45–64} }'
  chicago: 'Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption
    System Involving Signal-Dependent Motilities.” <i>Applicable Analysis</i> 103,
    no. 1 (2023): 45–64. <a href="https://doi.org/10.1080/00036811.2023.2173183">https://doi.org/10.1080/00036811.2023.2173183</a>.'
  ieee: 'G. Li and M. Winkler, “Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities,” <i>Applicable Analysis</i>, vol.
    103, no. 1, pp. 45–64, 2023, doi: <a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>.'
  mla: Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption
    System Involving Signal-Dependent Motilities.” <i>Applicable Analysis</i>, vol.
    103, no. 1, Informa UK Limited, 2023, pp. 45–64, doi:<a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>.
  short: G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64.
date_created: 2024-04-07T12:32:55Z
date_updated: 2024-04-07T12:36:11Z
doi: 10.1080/00036811.2023.2173183
intvolume: '       103'
issue: '1'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 45-64
publication: Applicable Analysis
publication_identifier:
  issn:
  - 0003-6811
  - 1563-504X
publication_status: published
publisher: Informa UK Limited
status: public
title: Refined regularity analysis for a Keller-Segel-consumption system involving
  signal-dependent motilities
type: journal_article
user_id: '31496'
volume: 103
year: '2023'
...
---
_id: '53324'
article_number: '180'
author:
- first_name: Jaewook
  full_name: Ahn, Jaewook
  last_name: Ahn
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Ahn J, Winkler M. A critical exponent for blow-up in a two-dimensional chemotaxis-consumption
    system. <i>Calculus of Variations and Partial Differential Equations</i>. 2023;62(6).
    doi:<a href="https://doi.org/10.1007/s00526-023-02523-5">10.1007/s00526-023-02523-5</a>
  apa: Ahn, J., &#38; Winkler, M. (2023). A critical exponent for blow-up in a two-dimensional
    chemotaxis-consumption system. <i>Calculus of Variations and Partial Differential
    Equations</i>, <i>62</i>(6), Article 180. <a href="https://doi.org/10.1007/s00526-023-02523-5">https://doi.org/10.1007/s00526-023-02523-5</a>
  bibtex: '@article{Ahn_Winkler_2023, title={A critical exponent for blow-up in a
    two-dimensional chemotaxis-consumption system}, volume={62}, DOI={<a href="https://doi.org/10.1007/s00526-023-02523-5">10.1007/s00526-023-02523-5</a>},
    number={6180}, journal={Calculus of Variations and Partial Differential Equations},
    publisher={Springer Science and Business Media LLC}, author={Ahn, Jaewook and
    Winkler, Michael}, year={2023} }'
  chicago: Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in
    a Two-Dimensional Chemotaxis-Consumption System.” <i>Calculus of Variations and
    Partial Differential Equations</i> 62, no. 6 (2023). <a href="https://doi.org/10.1007/s00526-023-02523-5">https://doi.org/10.1007/s00526-023-02523-5</a>.
  ieee: 'J. Ahn and M. Winkler, “A critical exponent for blow-up in a two-dimensional
    chemotaxis-consumption system,” <i>Calculus of Variations and Partial Differential
    Equations</i>, vol. 62, no. 6, Art. no. 180, 2023, doi: <a href="https://doi.org/10.1007/s00526-023-02523-5">10.1007/s00526-023-02523-5</a>.'
  mla: Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional
    Chemotaxis-Consumption System.” <i>Calculus of Variations and Partial Differential
    Equations</i>, vol. 62, no. 6, 180, Springer Science and Business Media LLC, 2023,
    doi:<a href="https://doi.org/10.1007/s00526-023-02523-5">10.1007/s00526-023-02523-5</a>.
  short: J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations
    62 (2023).
date_created: 2024-04-07T12:40:02Z
date_updated: 2024-04-07T12:40:06Z
doi: 10.1007/s00526-023-02523-5
intvolume: '        62'
issue: '6'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Calculus of Variations and Partial Differential Equations
publication_identifier:
  issn:
  - 0944-2669
  - 1432-0835
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A critical exponent for blow-up in a two-dimensional chemotaxis-consumption
  system
type: journal_article
user_id: '31496'
volume: 62
year: '2023'
...
---
_id: '53329'
article_number: '103820'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: 'Tao Y, Winkler M. Analysis of a chemotaxis-SIS epidemic model with unbounded
    infection force. <i>Nonlinear Analysis: Real World Applications</i>. 2023;71.
    doi:<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>'
  apa: 'Tao, Y., &#38; Winkler, M. (2023). Analysis of a chemotaxis-SIS epidemic model
    with unbounded infection force. <i>Nonlinear Analysis: Real World Applications</i>,
    <i>71</i>, Article 103820. <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">https://doi.org/10.1016/j.nonrwa.2022.103820</a>'
  bibtex: '@article{Tao_Winkler_2023, title={Analysis of a chemotaxis-SIS epidemic
    model with unbounded infection force}, volume={71}, DOI={<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>},
    number={103820}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
    BV}, author={Tao, Youshan and Winkler, Michael}, year={2023} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic
    Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i>
    71 (2023). <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">https://doi.org/10.1016/j.nonrwa.2022.103820</a>.'
  ieee: 'Y. Tao and M. Winkler, “Analysis of a chemotaxis-SIS epidemic model with
    unbounded infection force,” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 71, Art. no. 103820, 2023, doi: <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>.'
  mla: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic
    Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 71, 103820, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>.'
  short: 'Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).'
date_created: 2024-04-07T12:43:49Z
date_updated: 2024-04-07T12:43:53Z
doi: 10.1016/j.nonrwa.2022.103820
intvolume: '        71'
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: Analysis of a chemotaxis-SIS epidemic model with unbounded infection force
type: journal_article
user_id: '31496'
volume: 71
year: '2023'
...
---
_id: '53341'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>The Cauchy problem in <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\mathbb
    {R}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:msup>\r\n                    <mml:mrow>\r\n                      <mml:mi>R</mml:mi>\r\n
    \                   </mml:mrow>\r\n                    <mml:mi>n</mml:mi>\r\n
    \                 </mml:msup>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    is considered for the Keller–Segel system <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\left\\{ \\begin{array}{l}u_t = \\Delta u - \\nabla \\cdot (u\\nabla v), \\\\
    0 = \\Delta v + u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n
    \                         <mml:mrow>\r\n                            <mml:mfenced>\r\n
    \                             <mml:mrow>\r\n                                <mml:mtable>\r\n
    \                                 <mml:mtr>\r\n                                    <mml:mtd>\r\n
    \                                     <mml:mrow>\r\n                                        <mml:msub>\r\n
    \                                         <mml:mi>u</mml:mi>\r\n                                          <mml:mi>t</mml:mi>\r\n
    \                                       </mml:msub>\r\n                                        <mml:mo>=</mml:mo>\r\n
    \                                       <mml:mi>Δ</mml:mi>\r\n                                        <mml:mi>u</mml:mi>\r\n
    \                                       <mml:mo>-</mml:mo>\r\n                                        <mml:mi>∇</mml:mi>\r\n
    \                                       <mml:mo>·</mml:mo>\r\n                                        <mml:mrow>\r\n
    \                                         <mml:mo>(</mml:mo>\r\n                                          <mml:mi>u</mml:mi>\r\n
    \                                         <mml:mi>∇</mml:mi>\r\n                                          <mml:mi>v</mml:mi>\r\n
    \                                         <mml:mo>)</mml:mo>\r\n                                        </mml:mrow>\r\n
    \                                       <mml:mo>,</mml:mo>\r\n                                      </mml:mrow>\r\n
    \                                   </mml:mtd>\r\n                                  </mml:mtr>\r\n
    \                                 <mml:mtr>\r\n                                    <mml:mtd>\r\n
    \                                     <mml:mrow>\r\n                                        <mml:mrow
    />\r\n                                        <mml:mn>0</mml:mn>\r\n                                        <mml:mo>=</mml:mo>\r\n
    \                                       <mml:mi>Δ</mml:mi>\r\n                                        <mml:mi>v</mml:mi>\r\n
    \                                       <mml:mo>+</mml:mo>\r\n                                        <mml:mi>u</mml:mi>\r\n
    \                                       <mml:mo>,</mml:mo>\r\n                                      </mml:mrow>\r\n
    \                                   </mml:mtd>\r\n                                  </mml:mtr>\r\n
    \                               </mml:mtable>\r\n                              </mml:mrow>\r\n
    \                           </mml:mfenced>\r\n                            <mml:mspace
    />\r\n                            <mml:mspace />\r\n                            <mml:mrow>\r\n
    \                             <mml:mo>(</mml:mo>\r\n                              <mml:mo>⋆</mml:mo>\r\n
    \                             <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n
    \                         </mml:mrow>\r\n                        </mml:mtd>\r\n
    \                     </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n
    \               </mml:math></jats:alternatives></jats:disp-formula>with a focus
    on a detailed description of behavior in the presence of nonnegative radially
    symmetric initial data <jats:inline-formula><jats:alternatives><jats:tex-math>$$u_0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msub>\r\n
    \                   <mml:mi>u</mml:mi>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                 </mml:msub>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    with non-integrable behavior at spatial infinity. It is shown that if <jats:inline-formula><jats:alternatives><jats:tex-math>$$u_0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msub>\r\n
    \                   <mml:mi>u</mml:mi>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                 </mml:msub>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    is continuous and bounded, then (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\star
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mo>⋆</mml:mo>\r\n                </mml:math></jats:alternatives></jats:inline-formula>)
    admits a local-in-time classical solution, whereas if <jats:inline-formula><jats:alternatives><jats:tex-math>$$u_0(x)\\rightarrow
    +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mi>u</mml:mi>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n
    \                     <mml:mi>x</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n
    \                   </mml:mrow>\r\n                    <mml:mo>→</mml:mo>\r\n
    \                   <mml:mo>+</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    as <jats:inline-formula><jats:alternatives><jats:tex-math>$$|x|\\rightarrow \\infty
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mo>|</mml:mo>\r\n                    <mml:mi>x</mml:mi>\r\n
    \                   <mml:mo>|</mml:mo>\r\n                    <mml:mo>→</mml:mo>\r\n
    \                   <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    then no such solution can be found. Furthermore, a collection of three sufficient
    criteria for either global existence or global nonexistence indicates that with
    respect to the occurrence of finite-time blow-up, spatial decay properties of
    an explicit singular steady state plays a critical role. In particular, this underlines
    that explosions in (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\star
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mo>⋆</mml:mo>\r\n                </mml:math></jats:alternatives></jats:inline-formula>)
    need not be enforced by initially high concentrations near finite points, but
    can be exclusively due to large tails.</jats:p>"
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. Solutions to the Keller–Segel system with non-integrable behavior
    at spatial infinity. <i>Journal of Elliptic and Parabolic Equations</i>. 2023;9(2):919-959.
    doi:<a href="https://doi.org/10.1007/s41808-023-00230-y">10.1007/s41808-023-00230-y</a>
  apa: Winkler, M. (2023). Solutions to the Keller–Segel system with non-integrable
    behavior at spatial infinity. <i>Journal of Elliptic and Parabolic Equations</i>,
    <i>9</i>(2), 919–959. <a href="https://doi.org/10.1007/s41808-023-00230-y">https://doi.org/10.1007/s41808-023-00230-y</a>
  bibtex: '@article{Winkler_2023, title={Solutions to the Keller–Segel system with
    non-integrable behavior at spatial infinity}, volume={9}, DOI={<a href="https://doi.org/10.1007/s41808-023-00230-y">10.1007/s41808-023-00230-y</a>},
    number={2}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer
    Science and Business Media LLC}, author={Winkler, Michael}, year={2023}, pages={919–959}
    }'
  chicago: 'Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable
    Behavior at Spatial Infinity.” <i>Journal of Elliptic and Parabolic Equations</i>
    9, no. 2 (2023): 919–59. <a href="https://doi.org/10.1007/s41808-023-00230-y">https://doi.org/10.1007/s41808-023-00230-y</a>.'
  ieee: 'M. Winkler, “Solutions to the Keller–Segel system with non-integrable behavior
    at spatial infinity,” <i>Journal of Elliptic and Parabolic Equations</i>, vol.
    9, no. 2, pp. 919–959, 2023, doi: <a href="https://doi.org/10.1007/s41808-023-00230-y">10.1007/s41808-023-00230-y</a>.'
  mla: Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable
    Behavior at Spatial Infinity.” <i>Journal of Elliptic and Parabolic Equations</i>,
    vol. 9, no. 2, Springer Science and Business Media LLC, 2023, pp. 919–59, doi:<a
    href="https://doi.org/10.1007/s41808-023-00230-y">10.1007/s41808-023-00230-y</a>.
  short: M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959.
date_created: 2024-04-07T12:52:52Z
date_updated: 2024-04-07T12:52:55Z
doi: 10.1007/s41808-023-00230-y
intvolume: '         9'
issue: '2'
keyword:
- Applied Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 919-959
publication: Journal of Elliptic and Parabolic Equations
publication_identifier:
  issn:
  - 2296-9020
  - 2296-9039
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Solutions to the Keller–Segel system with non-integrable behavior at spatial
  infinity
type: journal_article
user_id: '31496'
volume: 9
year: '2023'
...
---
_id: '53342'
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
- first_name: Tomomi
  full_name: Yokota, Tomomi
  last_name: Yokota
citation:
  ama: Winkler M, Yokota T. Avoiding critical mass phenomena by arbitrarily mild saturation
    of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems.
    <i>Journal of Differential Equations</i>. 2023;374:1-28. doi:<a href="https://doi.org/10.1016/j.jde.2023.07.029">10.1016/j.jde.2023.07.029</a>
  apa: Winkler, M., &#38; Yokota, T. (2023). Avoiding critical mass phenomena by arbitrarily
    mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes
    systems. <i>Journal of Differential Equations</i>, <i>374</i>, 1–28. <a href="https://doi.org/10.1016/j.jde.2023.07.029">https://doi.org/10.1016/j.jde.2023.07.029</a>
  bibtex: '@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by
    arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes
    systems}, volume={374}, DOI={<a href="https://doi.org/10.1016/j.jde.2023.07.029">10.1016/j.jde.2023.07.029</a>},
    journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler,
    Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }'
  chicago: 'Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena
    by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes
    Systems.” <i>Journal of Differential Equations</i> 374 (2023): 1–28. <a href="https://doi.org/10.1016/j.jde.2023.07.029">https://doi.org/10.1016/j.jde.2023.07.029</a>.'
  ieee: 'M. Winkler and T. Yokota, “Avoiding critical mass phenomena by arbitrarily
    mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes
    systems,” <i>Journal of Differential Equations</i>, vol. 374, pp. 1–28, 2023,
    doi: <a href="https://doi.org/10.1016/j.jde.2023.07.029">10.1016/j.jde.2023.07.029</a>.'
  mla: Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily
    Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes
    Systems.” <i>Journal of Differential Equations</i>, vol. 374, Elsevier BV, 2023,
    pp. 1–28, doi:<a href="https://doi.org/10.1016/j.jde.2023.07.029">10.1016/j.jde.2023.07.029</a>.
  short: M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28.
date_created: 2024-04-07T12:53:32Z
date_updated: 2024-04-07T12:53:38Z
doi: 10.1016/j.jde.2023.07.029
intvolume: '       374'
keyword:
- Analysis
- Applied Mathematics
language:
- iso: eng
page: 1-28
publication: Journal of Differential Equations
publication_identifier:
  issn:
  - 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive
  fluxes in two-dimensional Keller-Segel-Navier-Stokes systems
type: journal_article
user_id: '31496'
volume: 374
year: '2023'
...
---
_id: '53346'
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. Absence of collapse into persistent Dirac-type singularities in
    a Keller-Segel-Navier-Stokes system involving local sensing. <i>Advances in Differential
    Equations</i>. 2023;28(11/12). doi:<a href="https://doi.org/10.57262/ade028-1112-921">10.57262/ade028-1112-921</a>
  apa: Winkler, M. (2023). Absence of collapse into persistent Dirac-type singularities
    in a Keller-Segel-Navier-Stokes system involving local sensing. <i>Advances in
    Differential Equations</i>, <i>28</i>(11/12). <a href="https://doi.org/10.57262/ade028-1112-921">https://doi.org/10.57262/ade028-1112-921</a>
  bibtex: '@article{Winkler_2023, title={Absence of collapse into persistent Dirac-type
    singularities in a Keller-Segel-Navier-Stokes system involving local sensing},
    volume={28}, DOI={<a href="https://doi.org/10.57262/ade028-1112-921">10.57262/ade028-1112-921</a>},
    number={11/12}, journal={Advances in Differential Equations}, publisher={Khayyam
    Publishing, Inc}, author={Winkler, Michael}, year={2023} }'
  chicago: Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities
    in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” <i>Advances in
    Differential Equations</i> 28, no. 11/12 (2023). <a href="https://doi.org/10.57262/ade028-1112-921">https://doi.org/10.57262/ade028-1112-921</a>.
  ieee: 'M. Winkler, “Absence of collapse into persistent Dirac-type singularities
    in a Keller-Segel-Navier-Stokes system involving local sensing,” <i>Advances in
    Differential Equations</i>, vol. 28, no. 11/12, 2023, doi: <a href="https://doi.org/10.57262/ade028-1112-921">10.57262/ade028-1112-921</a>.'
  mla: Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities
    in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” <i>Advances in
    Differential Equations</i>, vol. 28, no. 11/12, Khayyam Publishing, Inc, 2023,
    doi:<a href="https://doi.org/10.57262/ade028-1112-921">10.57262/ade028-1112-921</a>.
  short: M. Winkler, Advances in Differential Equations 28 (2023).
date_created: 2024-04-07T12:57:19Z
date_updated: 2024-04-07T12:57:23Z
doi: 10.57262/ade028-1112-921
intvolume: '        28'
issue: 11/12
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Advances in Differential Equations
publication_identifier:
  issn:
  - 1079-9389
publication_status: published
publisher: Khayyam Publishing, Inc
status: public
title: Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes
  system involving local sensing
type: journal_article
user_id: '31496'
volume: 28
year: '2023'
...
---
_id: '53540'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>This note is concerned with two
    families of operators related to the fractional Laplacian, the first arising from
    the Caffarelli-Silvestre extension problem and the second from the fractional
    heat equation. They both include the Poisson semigroup. We show that on a complete,
    connected, and non-compact Riemannian manifold of non-negative Ricci curvature,
    in both cases, the solution with <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n
    \                 <mml:mi>L</mml:mi>\r\n                  <mml:mn>1</mml:mn>\r\n
    \               </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula>
    initial data behaves asymptotically as the mass times the fundamental solution.
    Similar long-time convergence results remain valid on more general manifolds satisfying
    the Li-Yau two-sided estimate of the heat kernel. The situation changes drastically
    on hyperbolic space, and more generally on rank one non-compact symmetric spaces:
    we show that for the Poisson semigroup, the convergence to the Poisson kernel
    fails -but remains true under the additional assumption of radial initial data.</jats:p>"
author:
- first_name: Efthymia
  full_name: Papageorgiou, Efthymia
  id: '100325'
  last_name: Papageorgiou
citation:
  ama: Papageorgiou E. Large-Time Behavior of Two Families of Operators Related to
    the Fractional Laplacian on Certain Riemannian Manifolds. <i>Potential Analysis</i>.
    Published online 2023. doi:<a href="https://doi.org/10.1007/s11118-023-10109-1">10.1007/s11118-023-10109-1</a>
  apa: Papageorgiou, E. (2023). Large-Time Behavior of Two Families of Operators Related
    to the Fractional Laplacian on Certain Riemannian Manifolds. <i>Potential Analysis</i>.
    <a href="https://doi.org/10.1007/s11118-023-10109-1">https://doi.org/10.1007/s11118-023-10109-1</a>
  bibtex: '@article{Papageorgiou_2023, title={Large-Time Behavior of Two Families
    of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds},
    DOI={<a href="https://doi.org/10.1007/s11118-023-10109-1">10.1007/s11118-023-10109-1</a>},
    journal={Potential Analysis}, publisher={Springer Science and Business Media LLC},
    author={Papageorgiou, Efthymia}, year={2023} }'
  chicago: Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators
    Related to the Fractional Laplacian on Certain Riemannian Manifolds.” <i>Potential
    Analysis</i>, 2023. <a href="https://doi.org/10.1007/s11118-023-10109-1">https://doi.org/10.1007/s11118-023-10109-1</a>.
  ieee: 'E. Papageorgiou, “Large-Time Behavior of Two Families of Operators Related
    to the Fractional Laplacian on Certain Riemannian Manifolds,” <i>Potential Analysis</i>,
    2023, doi: <a href="https://doi.org/10.1007/s11118-023-10109-1">10.1007/s11118-023-10109-1</a>.'
  mla: Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators Related
    to the Fractional Laplacian on Certain Riemannian Manifolds.” <i>Potential Analysis</i>,
    Springer Science and Business Media LLC, 2023, doi:<a href="https://doi.org/10.1007/s11118-023-10109-1">10.1007/s11118-023-10109-1</a>.
  short: E. Papageorgiou, Potential Analysis (2023).
date_created: 2024-04-17T13:17:37Z
date_updated: 2024-04-17T13:19:59Z
department:
- _id: '555'
doi: 10.1007/s11118-023-10109-1
keyword:
- Analysis
language:
- iso: eng
publication: Potential Analysis
publication_identifier:
  issn:
  - 0926-2601
  - 1572-929X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Large-Time Behavior of Two Families of Operators Related to the Fractional
  Laplacian on Certain Riemannian Manifolds
type: journal_article
user_id: '100325'
year: '2023'
...
---
_id: '53539'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>The infinite Brownian loop on a
    Riemannian manifold is the limit in distribution of the Brownian bridge of length
    <jats:italic>T</jats:italic> around a fixed origin when <jats:inline-formula><jats:alternatives><jats:tex-math>$$T
    \\rightarrow +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:mrow>\r\n                  <mml:mi>T</mml:mi>\r\n                  <mml:mo>→</mml:mo>\r\n
    \                 <mml:mo>+</mml:mo>\r\n                  <mml:mi>∞</mml:mi>\r\n
    \               </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>.
    The aim of this note is to study its long-time asymptotics on Riemannian symmetric
    spaces <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic> of noncompact
    type and of general rank. This amounts to the behavior of solutions to the heat
    equation subject to the Doob transform induced by the ground spherical function.
    Unlike the standard Brownian motion, we observe in this case phenomena which are
    similar to the Euclidean setting, namely <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n
    \                 <mml:mi>L</mml:mi>\r\n                  <mml:mn>1</mml:mn>\r\n
    \               </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula>
    asymptotic convergence without requiring bi-<jats:italic>K</jats:italic>-invariance
    for initial data, and strong <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^{\\infty
    }$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \               <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mi>∞</mml:mi>\r\n
    \               </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula>
    convergence.</jats:p>"
author:
- first_name: Efthymia
  full_name: Papageorgiou, Efthymia
  id: '100325'
  last_name: Papageorgiou
citation:
  ama: Papageorgiou E. Asymptotics for the infinite Brownian loop on noncompact symmetric
    spaces. <i>Journal of Elliptic and Parabolic Equations</i>. Published online 2023.
    doi:<a href="https://doi.org/10.1007/s41808-023-00250-8">10.1007/s41808-023-00250-8</a>
  apa: Papageorgiou, E. (2023). Asymptotics for the infinite Brownian loop on noncompact
    symmetric spaces. <i>Journal of Elliptic and Parabolic Equations</i>. <a href="https://doi.org/10.1007/s41808-023-00250-8">https://doi.org/10.1007/s41808-023-00250-8</a>
  bibtex: '@article{Papageorgiou_2023, title={Asymptotics for the infinite Brownian
    loop on noncompact symmetric spaces}, DOI={<a href="https://doi.org/10.1007/s41808-023-00250-8">10.1007/s41808-023-00250-8</a>},
    journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science
    and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }'
  chicago: Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on
    Noncompact Symmetric Spaces.” <i>Journal of Elliptic and Parabolic Equations</i>,
    2023. <a href="https://doi.org/10.1007/s41808-023-00250-8">https://doi.org/10.1007/s41808-023-00250-8</a>.
  ieee: 'E. Papageorgiou, “Asymptotics for the infinite Brownian loop on noncompact
    symmetric spaces,” <i>Journal of Elliptic and Parabolic Equations</i>, 2023, doi:
    <a href="https://doi.org/10.1007/s41808-023-00250-8">10.1007/s41808-023-00250-8</a>.'
  mla: Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact
    Symmetric Spaces.” <i>Journal of Elliptic and Parabolic Equations</i>, Springer
    Science and Business Media LLC, 2023, doi:<a href="https://doi.org/10.1007/s41808-023-00250-8">10.1007/s41808-023-00250-8</a>.
  short: E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023).
date_created: 2024-04-17T13:16:39Z
date_updated: 2024-04-17T13:17:10Z
department:
- _id: '555'
doi: 10.1007/s41808-023-00250-8
keyword:
- Applied Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
publication: Journal of Elliptic and Parabolic Equations
publication_identifier:
  issn:
  - 2296-9020
  - 2296-9039
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Asymptotics for the infinite Brownian loop on noncompact symmetric spaces
type: journal_article
user_id: '100325'
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. <i>Nonlinear Analysis: Real
    World Applications</i>. 2023;73. doi:<a href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>'
  apa: 'Black, T., Fuest, M., Lankeit, J., &#38; Mizukami, M. (2023). Possible points
    of blow-up in chemotaxis systems with spatially heterogeneous logistic source.
    <i>Nonlinear Analysis: Real World Applications</i>, <i>73</i>, Article 103868.
    <a href="https://doi.org/10.1016/j.nonrwa.2023.103868">https://doi.org/10.1016/j.nonrwa.2023.103868</a>'
  bibtex: '@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up
    in chemotaxis systems with spatially heterogeneous logistic source}, volume={73},
    DOI={<a href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>},
    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.” <i>Nonlinear Analysis: Real World Applications</i> 73 (2023). <a href="https://doi.org/10.1016/j.nonrwa.2023.103868">https://doi.org/10.1016/j.nonrwa.2023.103868</a>.'
  ieee: 'T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up
    in chemotaxis systems with spatially heterogeneous logistic source,” <i>Nonlinear
    Analysis: Real World Applications</i>, vol. 73, Art. no. 103868, 2023, doi: <a
    href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>.'
  mla: 'Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with
    Spatially Heterogeneous Logistic Source.” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 73, 103868, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>.'
  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: '44390'
abstract:
- lang: eng
  text: The development of autonomous vehicles and their introduction in urban traffic
    offer many opportunities for traffic improvements. In this paper, an approach
    for a future traffic control system for mixed autonomy traffic environments is
    presented. Furthermore, a simulation framework based on the city of Paderborn
    is introduced to enable the development and examination of such a system. This
    encompasses multiple elements including the road network itself, traffic lights,
    sensors as well as methods to analyse the topology of the network. Furthermore,
    a procedure for traffic demand generation and routing is presented based on statistical
    data of the city and traffic data obtained by measurements. The resulting model
    can receive and apply the generated control inputs and in turn generates simulated
    sensor data for the control system based on the current system state.
author:
- first_name: Christopher
  full_name: Link, Christopher
  id: '38249'
  last_name: Link
- first_name: Kevin
  full_name: Malena, Kevin
  id: '36303'
  last_name: Malena
  orcid: 0000-0003-1183-4679
- first_name: Sandra
  full_name: Gausemeier, Sandra
  id: '17793'
  last_name: Gausemeier
- first_name: Ansgar
  full_name: Trächtler, Ansgar
  id: '552'
  last_name: Trächtler
citation:
  ama: 'Link C, Malena K, Gausemeier S, Trächtler A. Simulation Environment for Traffic
    Control Systems Targeting Mixed Autonomy Traffic Scenarios. In: <i>Proceedings
    of the 9th International Conference on Vehicle Technology and Intelligent Transport
    Systems</i>. SCITEPRESS - Science and Technology Publications; 2023. doi:<a href="https://doi.org/10.5220/0011987600003479">10.5220/0011987600003479</a>'
  apa: Link, C., Malena, K., Gausemeier, S., &#38; Trächtler, A. (2023). Simulation
    Environment for Traffic Control Systems Targeting Mixed Autonomy Traffic Scenarios.
    <i>Proceedings of the 9th International Conference on Vehicle Technology and Intelligent
    Transport Systems</i>. 9th International Conference on Vehicle Technology and
    Intelligent Transport Systems (VEHITS 2023), Prague, Czech Republic. <a href="https://doi.org/10.5220/0011987600003479">https://doi.org/10.5220/0011987600003479</a>
  bibtex: '@inproceedings{Link_Malena_Gausemeier_Trächtler_2023, title={Simulation
    Environment for Traffic Control Systems Targeting Mixed Autonomy Traffic Scenarios},
    DOI={<a href="https://doi.org/10.5220/0011987600003479">10.5220/0011987600003479</a>},
    booktitle={Proceedings of the 9th International Conference on Vehicle Technology
    and Intelligent Transport Systems}, publisher={SCITEPRESS - Science and Technology
    Publications}, author={Link, Christopher and Malena, Kevin and Gausemeier, Sandra
    and Trächtler, Ansgar}, year={2023} }'
  chicago: Link, Christopher, Kevin Malena, Sandra Gausemeier, and Ansgar Trächtler.
    “Simulation Environment for Traffic Control Systems Targeting Mixed Autonomy Traffic
    Scenarios.” In <i>Proceedings of the 9th International Conference on Vehicle Technology
    and Intelligent Transport Systems</i>. SCITEPRESS - Science and Technology Publications,
    2023. <a href="https://doi.org/10.5220/0011987600003479">https://doi.org/10.5220/0011987600003479</a>.
  ieee: 'C. Link, K. Malena, S. Gausemeier, and A. Trächtler, “Simulation Environment
    for Traffic Control Systems Targeting Mixed Autonomy Traffic Scenarios,” presented
    at the 9th International Conference on Vehicle Technology and Intelligent Transport
    Systems (VEHITS 2023), Prague, Czech Republic, 2023, doi: <a href="https://doi.org/10.5220/0011987600003479">10.5220/0011987600003479</a>.'
  mla: Link, Christopher, et al. “Simulation Environment for Traffic Control Systems
    Targeting Mixed Autonomy Traffic Scenarios.” <i>Proceedings of the 9th International
    Conference on Vehicle Technology and Intelligent Transport Systems</i>, SCITEPRESS
    - Science and Technology Publications, 2023, doi:<a href="https://doi.org/10.5220/0011987600003479">10.5220/0011987600003479</a>.
  short: 'C. Link, K. Malena, S. Gausemeier, A. Trächtler, in: Proceedings of the
    9th International Conference on Vehicle Technology and Intelligent Transport Systems,
    SCITEPRESS - Science and Technology Publications, 2023.'
conference:
  end_date: 2023-04-28
  location: Prague, Czech Republic
  name: 9th International Conference on Vehicle Technology and Intelligent Transport
    Systems (VEHITS 2023)
  start_date: 2023-04-26
date_created: 2023-05-03T08:57:10Z
date_updated: 2023-05-03T09:15:19Z
department:
- _id: '153'
doi: 10.5220/0011987600003479
keyword:
- Traffic Simulation
- Traffic Control
- Car2X
- Mixed Autonomy
- Autonomous Vehicles
- SUMO
- Sensor Simulation
- Traffic Demand Generation
- Routing
- Traffic Lights
- Graph Analysis
- Traffic Observer
language:
- iso: eng
main_file_link:
- url: https://www.scitepress.org/Link.aspx?doi=10.5220/0011987600003479
publication: Proceedings of the 9th International Conference on Vehicle Technology
  and Intelligent Transport Systems
publication_identifier:
  isbn:
  - 978-989-758-652-1
publication_status: published
publisher: SCITEPRESS - Science and Technology Publications
quality_controlled: '1'
status: public
title: Simulation Environment for Traffic Control Systems Targeting Mixed Autonomy
  Traffic Scenarios
type: conference
user_id: '38249'
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. <i>Journal of Computational and Applied Mathematics</i>. 2023;421:114780.
    doi:<a href="https://doi.org/10.1016/j.cam.2022.114780">10.1016/j.cam.2022.114780</a>
  apa: Ober-Blöbaum, S., &#38; Offen, C. (2023). Variational Learning of Euler–Lagrange
    Dynamics from Data. <i>Journal of Computational and Applied Mathematics</i>, <i>421</i>,
    114780. <a href="https://doi.org/10.1016/j.cam.2022.114780">https://doi.org/10.1016/j.cam.2022.114780</a>
  bibtex: '@article{Ober-Blöbaum_Offen_2023, title={Variational Learning of Euler–Lagrange
    Dynamics from Data}, volume={421}, DOI={<a href="https://doi.org/10.1016/j.cam.2022.114780">10.1016/j.cam.2022.114780</a>},
    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.” <i>Journal of Computational and Applied Mathematics</i> 421
    (2023): 114780. <a href="https://doi.org/10.1016/j.cam.2022.114780">https://doi.org/10.1016/j.cam.2022.114780</a>.'
  ieee: 'S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics
    from Data,” <i>Journal of Computational and Applied Mathematics</i>, vol. 421,
    p. 114780, 2023, doi: <a href="https://doi.org/10.1016/j.cam.2022.114780">10.1016/j.cam.2022.114780</a>.'
  mla: Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange
    Dynamics from Data.” <i>Journal of Computational and Applied Mathematics</i>,
    vol. 421, Elsevier, 2023, p. 114780, doi:<a href="https://doi.org/10.1016/j.cam.2022.114780">10.1016/j.cam.2022.114780</a>.
  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'
...
