[{"_id":"56201","publisher":"Springer Berlin Heidelberg","language":[{"iso":"ger"}],"main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/978-3-662-63948-1_4"}],"user_id":"37888","doi":"10.1007/978-3-662-63948-1_4","author":[{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf","id":"16274"},{"last_name":"Hoffmann","first_name":"Max","orcid":"0000-0002-6964-7123","full_name":"Hoffmann, Max","id":"32202"}],"publication_identifier":{"isbn":["9783662639474","9783662639481"],"issn":["2197-8751","2197-876X"]},"year":"2022","status":"public","title":"Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium","publication_status":"published","date_updated":"2024-09-25T08:26:46Z","date_created":"2024-09-23T08:51:39Z","place":"Berlin, Heidelberg","department":[{"_id":"363"}],"type":"book_chapter","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: <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>. Springer Berlin Heidelberg; 2022. doi:<a href=\"https://doi.org/10.1007/978-3-662-63948-1_4\">10.1007/978-3-662-63948-1_4</a>","short":"R. Biehler, M. Hoffmann, in: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2022.","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 <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>. Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. <a href=\"https://doi.org/10.1007/978-3-662-63948-1_4\">https://doi.org/10.1007/978-3-662-63948-1_4</a>.","bibtex":"@inbook{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={<a href=\"https://doi.org/10.1007/978-3-662-63948-1_4\">10.1007/978-3-662-63948-1_4</a>}, booktitle={Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}, publisher={Springer Berlin Heidelberg}, author={Biehler, Rolf and Hoffmann, Max}, year={2022} }","apa":"Biehler, R., &#38; Hoffmann, M. (2022). Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>. Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/978-3-662-63948-1_4\">https://doi.org/10.1007/978-3-662-63948-1_4</a>","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.” <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>, Springer Berlin Heidelberg, 2022, doi:<a href=\"https://doi.org/10.1007/978-3-662-63948-1_4\">10.1007/978-3-662-63948-1_4</a>.","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 <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2022."},"publication":"Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik"},{"publication":"Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik","citation":{"mla":"Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie.” <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>, Springer Fachmedien Wiesbaden, 2022, doi:<a href=\"https://doi.org/10.1007/978-3-658-34067-4_20\">10.1007/978-3-658-34067-4_20</a>.","bibtex":"@inbook{Hoffmann_Biehler_2022, place={Wiesbaden}, title={Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-34067-4_20\">10.1007/978-3-658-34067-4_20</a>}, booktitle={Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}, publisher={Springer Fachmedien Wiesbaden}, author={Hoffmann, Max and Biehler, Rolf}, year={2022} }","ama":"Hoffmann M, Biehler R. Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie. In: <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>. Springer Fachmedien Wiesbaden; 2022. doi:<a href=\"https://doi.org/10.1007/978-3-658-34067-4_20\">10.1007/978-3-658-34067-4_20</a>","ieee":"M. Hoffmann and R. Biehler, “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie,” in <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>, Wiesbaden: Springer Fachmedien Wiesbaden, 2022.","apa":"Hoffmann, M., &#38; Biehler, R. (2022). Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie. In <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>. Springer Fachmedien Wiesbaden. <a href=\"https://doi.org/10.1007/978-3-658-34067-4_20\">https://doi.org/10.1007/978-3-658-34067-4_20</a>","chicago":"Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie.” In <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>. Wiesbaden: Springer Fachmedien Wiesbaden, 2022. <a href=\"https://doi.org/10.1007/978-3-658-34067-4_20\">https://doi.org/10.1007/978-3-658-34067-4_20</a>.","short":"M. Hoffmann, R. Biehler, in: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, Springer Fachmedien Wiesbaden, Wiesbaden, 2022."},"type":"book_chapter","department":[{"_id":"363"}],"place":"Wiesbaden","date_created":"2024-09-23T08:54:03Z","date_updated":"2024-09-25T08:27:00Z","publication_status":"published","status":"public","year":"2022","title":"Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie","publication_identifier":{"isbn":["9783658340667","9783658340674"],"issn":["2197-8751","2197-876X"]},"author":[{"full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123","first_name":"Max","last_name":"Hoffmann","id":"32202"},{"id":"16274","first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf"}],"doi":"10.1007/978-3-658-34067-4_20","user_id":"37888","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/978-3-658-34067-4_20"}],"_id":"56203","publisher":"Springer Fachmedien Wiesbaden","language":[{"iso":"ger"}]},{"doi":"10.1007/978-3-031-20748-8_15","user_id":"37888","main_file_link":[{"url":"https://doi.org/10.1007/978-3-031-20748-8_15"}],"_id":"43231","publisher":"Springer International Publishing","language":[{"iso":"eng"}],"date_updated":"2024-09-25T08:29:42Z","publication_status":"published","year":"2022","status":"public","title":"Civic Statistics for Prospective Teachers: Developing Content and Pedagogical Content Knowledge Through Project Work","author":[{"id":"30619","orcid":"0000-0002-6313-5987","first_name":"Susanne","last_name":"Podworny","full_name":"Podworny, Susanne"},{"full_name":"Frischemeier, Daniel","first_name":"Daniel","last_name":"Frischemeier"},{"id":"16274","full_name":"Biehler, Rolf","first_name":"Rolf","last_name":"Biehler"}],"publication_identifier":{"isbn":["9783031207471","9783031207488"]},"type":"book_chapter","department":[{"_id":"363"}],"place":"Cham","date_created":"2023-03-30T13:11:51Z","publication":"Statistics for Empowerment and Social Engagement","citation":{"apa":"Podworny, S., Frischemeier, D., &#38; Biehler, R. (2022). Civic Statistics for Prospective Teachers: Developing Content and Pedagogical Content Knowledge Through Project Work. In <i>Statistics for Empowerment and Social Engagement</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-031-20748-8_15\">https://doi.org/10.1007/978-3-031-20748-8_15</a>","ieee":"S. Podworny, D. Frischemeier, and R. Biehler, “Civic Statistics for Prospective Teachers: Developing Content and Pedagogical Content Knowledge Through Project Work,” in <i>Statistics for Empowerment and Social Engagement</i>, Cham: Springer International Publishing, 2022.","short":"S. Podworny, D. Frischemeier, R. Biehler, in: Statistics for Empowerment and Social Engagement, Springer International Publishing, Cham, 2022.","chicago":"Podworny, Susanne, Daniel Frischemeier, and Rolf Biehler. “Civic Statistics for Prospective Teachers: Developing Content and Pedagogical Content Knowledge Through Project Work.” In <i>Statistics for Empowerment and Social Engagement</i>. Cham: Springer International Publishing, 2022. <a href=\"https://doi.org/10.1007/978-3-031-20748-8_15\">https://doi.org/10.1007/978-3-031-20748-8_15</a>.","mla":"Podworny, Susanne, et al. “Civic Statistics for Prospective Teachers: Developing Content and Pedagogical Content Knowledge Through Project Work.” <i>Statistics for Empowerment and Social Engagement</i>, Springer International Publishing, 2022, doi:<a href=\"https://doi.org/10.1007/978-3-031-20748-8_15\">10.1007/978-3-031-20748-8_15</a>.","ama":"Podworny S, Frischemeier D, Biehler R. Civic Statistics for Prospective Teachers: Developing Content and Pedagogical Content Knowledge Through Project Work. In: <i>Statistics for Empowerment and Social Engagement</i>. Springer International Publishing; 2022. doi:<a href=\"https://doi.org/10.1007/978-3-031-20748-8_15\">10.1007/978-3-031-20748-8_15</a>","bibtex":"@inbook{Podworny_Frischemeier_Biehler_2022, place={Cham}, title={Civic Statistics for Prospective Teachers: Developing Content and Pedagogical Content Knowledge Through Project Work}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-20748-8_15\">10.1007/978-3-031-20748-8_15</a>}, booktitle={Statistics for Empowerment and Social Engagement}, publisher={Springer International Publishing}, author={Podworny, Susanne and Frischemeier, Daniel and Biehler, Rolf}, year={2022} }"}},{"type":"book_chapter","department":[{"_id":"363"}],"date_created":"2023-03-30T13:08:32Z","place":"Cham","publication":"Statistics for Empowerment and Social Engagement","citation":{"bibtex":"@inbook{Frischemeier_Podworny_Biehler_2022, place={Cham}, title={Data Visualization Packages for Non-inferential Civic Statistics in High School Classrooms}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-20748-8_9\">10.1007/978-3-031-20748-8_9</a>}, booktitle={Statistics for Empowerment and Social Engagement}, publisher={Springer International Publishing}, author={Frischemeier, Daniel and Podworny, Susanne and Biehler, Rolf}, year={2022}, pages={199–236} }","ama":"Frischemeier D, Podworny S, Biehler R. Data Visualization Packages for Non-inferential Civic Statistics in High School Classrooms. In: <i>Statistics for Empowerment and Social Engagement</i>. Springer International Publishing; 2022:199-236. doi:<a href=\"https://doi.org/10.1007/978-3-031-20748-8_9\">10.1007/978-3-031-20748-8_9</a>","short":"D. Frischemeier, S. Podworny, R. Biehler, in: Statistics for Empowerment and Social Engagement, Springer International Publishing, Cham, 2022, pp. 199–236.","chicago":"Frischemeier, Daniel, Susanne Podworny, and Rolf Biehler. “Data Visualization Packages for Non-Inferential Civic Statistics in High School Classrooms.” In <i>Statistics for Empowerment and Social Engagement</i>, 199–236. Cham: Springer International Publishing, 2022. <a href=\"https://doi.org/10.1007/978-3-031-20748-8_9\">https://doi.org/10.1007/978-3-031-20748-8_9</a>.","ieee":"D. Frischemeier, S. Podworny, and R. Biehler, “Data Visualization Packages for Non-inferential Civic Statistics in High School Classrooms,” in <i>Statistics for Empowerment and Social Engagement</i>, Cham: Springer International Publishing, 2022, pp. 199–236.","mla":"Frischemeier, Daniel, et al. “Data Visualization Packages for Non-Inferential Civic Statistics in High School Classrooms.” <i>Statistics for Empowerment and Social Engagement</i>, Springer International Publishing, 2022, pp. 199–236, doi:<a href=\"https://doi.org/10.1007/978-3-031-20748-8_9\">10.1007/978-3-031-20748-8_9</a>.","apa":"Frischemeier, D., Podworny, S., &#38; Biehler, R. (2022). Data Visualization Packages for Non-inferential Civic Statistics in High School Classrooms. In <i>Statistics for Empowerment and Social Engagement</i> (pp. 199–236). Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-031-20748-8_9\">https://doi.org/10.1007/978-3-031-20748-8_9</a>"},"user_id":"37888","doi":"10.1007/978-3-031-20748-8_9","page":"199-236","main_file_link":[{"url":"https://doi.org/10.1007/978-3-031-20748-8_9"}],"_id":"43230","language":[{"iso":"eng"}],"publisher":"Springer International Publishing","publication_status":"published","date_updated":"2024-09-25T08:29:55Z","status":"public","year":"2022","title":"Data Visualization Packages for Non-inferential Civic Statistics in High School Classrooms","author":[{"full_name":"Frischemeier, Daniel","last_name":"Frischemeier","first_name":"Daniel"},{"id":"30619","full_name":"Podworny, Susanne","orcid":"0000-0002-6313-5987","first_name":"Susanne","last_name":"Podworny"},{"id":"16274","first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf"}],"publication_identifier":{"isbn":["9783031207471","9783031207488"]}},{"citation":{"apa":"Liebendörfer, M., Profeta, A., Krämer, S., Schlüter, S., Becher, S., Biehler, R., Mai, T., &#38; Schmitz, A. (2022). <i>Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation</i>. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy.","ieee":"M. Liebendörfer <i>et al.</i>, “Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.","short":"M. Liebendörfer, A. Profeta, S. Krämer, S. Schlüter, S. Becher, R. Biehler, T. Mai, A. Schmitz, in: 2022.","chicago":"Liebendörfer, Michael, Angelo Profeta, Sandra Krämer, Sarah Schlüter, Silvia Becher, Rolf Biehler, Tobias Mai, and Angela Schmitz. “Enriching Videos with Interactive Questions to Enhance Students’ Cognitive Activity: Concept and Implementation,” 2022.","mla":"Liebendörfer, Michael, et al. <i>Enriching Videos with Interactive Questions to Enhance Students’ Cognitive Activity: Concept and Implementation</i>. 2022.","ama":"Liebendörfer M, Profeta A, Krämer S, et al. Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation. In: ; 2022.","bibtex":"@inproceedings{Liebendörfer_Profeta_Krämer_Schlüter_Becher_Biehler_Mai_Schmitz_2022, title={Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation}, author={Liebendörfer, Michael and Profeta, Angelo and Krämer, Sandra and Schlüter, Sarah and Becher, Silvia and Biehler, Rolf and Mai, Tobias and Schmitz, Angela}, year={2022} }"},"department":[{"_id":"363"},{"_id":"625"}],"type":"conference","date_created":"2023-01-24T08:53:20Z","date_updated":"2024-09-25T08:30:09Z","author":[{"id":"30933","full_name":"Liebendörfer, Michael","orcid":"0000-0001-9887-2074","first_name":"Michael","last_name":"Liebendörfer"},{"last_name":"Profeta","first_name":"Angelo","full_name":"Profeta, Angelo"},{"full_name":"Krämer, Sandra","first_name":"Sandra","last_name":"Krämer"},{"full_name":"Schlüter, Sarah","first_name":"Sarah","last_name":"Schlüter"},{"first_name":"Silvia","last_name":"Becher","full_name":"Becher, Silvia"},{"id":"16274","first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf"},{"full_name":"Mai, Tobias","first_name":"Tobias","last_name":"Mai"},{"full_name":"Schmitz, Angela","last_name":"Schmitz","first_name":"Angela"}],"conference":{"end_date":"2022-02-06","name":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","start_date":"2022-02-02","location":"Bozen-Bolzano, Italy"},"status":"public","title":"Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation","year":"2022","user_id":"37888","language":[{"iso":"eng"}],"_id":"39062","main_file_link":[{"url":"https://hal.science/hal-03749054"}]},{"date_updated":"2024-09-25T08:29:28Z","status":"public","year":"2022","title":"An example of rich, real and multivariate survey data for use in school","author":[{"full_name":"Podworny, Susanne","first_name":"Susanne","orcid":"0000-0002-6313-5987","last_name":"Podworny","id":"30619"},{"id":"42660","full_name":"Fleischer, Franz Yannik","orcid":"https://orcid.org/0000-0003-0318-0329","last_name":"Fleischer","first_name":"Franz Yannik"},{"first_name":"Dietlinde","last_name":"Stroop","full_name":"Stroop, Dietlinde"},{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf","id":"16274"}],"conference":{"end_date":"2022-02-06","start_date":"2022-02-02","name":"Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","location":"Bozen-Bolzano, Italy"},"user_id":"37888","main_file_link":[{"url":"https://hal.archives-ouvertes.fr/hal-03751842"}],"language":[{"iso":"eng"}],"_id":"39064","citation":{"chicago":"Podworny, Susanne, Franz Yannik Fleischer, Dietlinde Stroop, and Rolf Biehler. “An Example of Rich, Real and Multivariate Survey Data for Use in School,” 2022.","short":"S. Podworny, F.Y. Fleischer, D. Stroop, R. Biehler, in: 2022.","ieee":"S. Podworny, F. Y. Fleischer, D. Stroop, and R. Biehler, “An example of rich, real and multivariate survey data for use in school,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.","apa":"Podworny, S., Fleischer, F. Y., Stroop, D., &#38; Biehler, R. (2022). <i>An example of rich, real and multivariate survey data for use in school</i>. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy.","bibtex":"@inproceedings{Podworny_Fleischer_Stroop_Biehler_2022, title={An example of rich, real and multivariate survey data for use in school}, author={Podworny, Susanne and Fleischer, Franz Yannik and Stroop, Dietlinde and Biehler, Rolf}, year={2022} }","ama":"Podworny S, Fleischer FY, Stroop D, Biehler R. An example of rich, real and multivariate survey data for use in school. In: ; 2022.","mla":"Podworny, Susanne, et al. <i>An Example of Rich, Real and Multivariate Survey Data for Use in School</i>. 2022."},"type":"conference","department":[{"_id":"363"}],"date_created":"2023-01-24T08:55:09Z"},{"_id":"56251","publisher":"International Association for Statistical Education","user_id":"37888","ddc":["510"],"status":"public","has_accepted_license":"1","citation":{"ieee":"D. Frischemeier and R. Biehler, “Design of a teaching unit to develop primary school students ́ reasoning about uncertainty in multi-step chance experiments,” 2022, doi: <a href=\"https://doi.org/10.52041/srap.19304\">10.52041/srap.19304</a>.","apa":"Frischemeier, D., &#38; Biehler, R. (2022). Design of a teaching unit to develop primary school students ́ reasoning about uncertainty in multi-step chance experiments. <i>Decision Making Based on Data Proceedings IASE 2019 Satellite Conference</i>. <a href=\"https://doi.org/10.52041/srap.19304\">https://doi.org/10.52041/srap.19304</a>","short":"D. Frischemeier, R. Biehler, in: Decision Making Based on Data Proceedings IASE 2019 Satellite Conference, International Association for Statistical Education, 2022.","chicago":"Frischemeier, Daniel, and Rolf Biehler. “Design of a Teaching Unit to Develop Primary School Students ́ Reasoning about Uncertainty in Multi-Step Chance Experiments.” In <i>Decision Making Based on Data Proceedings IASE 2019 Satellite Conference</i>. International Association for Statistical Education, 2022. <a href=\"https://doi.org/10.52041/srap.19304\">https://doi.org/10.52041/srap.19304</a>.","mla":"Frischemeier, Daniel, and Rolf Biehler. “Design of a Teaching Unit to Develop Primary School Students ́ Reasoning about Uncertainty in Multi-Step Chance Experiments.” <i>Decision Making Based on Data Proceedings IASE 2019 Satellite Conference</i>, International Association for Statistical Education, 2022, doi:<a href=\"https://doi.org/10.52041/srap.19304\">10.52041/srap.19304</a>.","bibtex":"@inproceedings{Frischemeier_Biehler_2022, title={Design of a teaching unit to develop primary school students ́ reasoning about uncertainty in multi-step chance experiments}, DOI={<a href=\"https://doi.org/10.52041/srap.19304\">10.52041/srap.19304</a>}, booktitle={Decision Making Based on Data Proceedings IASE 2019 Satellite Conference}, publisher={International Association for Statistical Education}, author={Frischemeier, Daniel and Biehler, Rolf}, year={2022} }","ama":"Frischemeier D, Biehler R. Design of a teaching unit to develop primary school students ́ reasoning about uncertainty in multi-step chance experiments. In: <i>Decision Making Based on Data Proceedings IASE 2019 Satellite Conference</i>. International Association for Statistical Education; 2022. doi:<a href=\"https://doi.org/10.52041/srap.19304\">10.52041/srap.19304</a>"},"file_date_updated":"2024-11-12T10:58:48Z","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://www.academia.edu/download/114249671/srap.pdf"}],"doi":"10.52041/srap.19304","author":[{"full_name":"Frischemeier, Daniel","first_name":"Daniel","last_name":"Frischemeier"},{"id":"16274","last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"}],"year":"2022","title":"Design of a teaching unit to develop primary school students ́ reasoning about uncertainty in multi-step chance experiments","publication_status":"published","date_updated":"2024-11-12T10:59:05Z","date_created":"2024-09-25T08:33:33Z","file":[{"content_type":"application/pdf","success":1,"file_id":"56996","access_level":"closed","file_size":877055,"file_name":"IASE2019_Satellite_136_FRISCHEM-2.pdf","date_updated":"2024-11-12T10:58:48Z","relation":"main_file","date_created":"2024-11-12T10:58:48Z","creator":"krueter"}],"department":[{"_id":"363"}],"type":"conference","publication":"Decision Making Based on Data Proceedings IASE 2019 Satellite Conference","abstract":[{"text":"<jats:p>Statistical reasoning and the confrontation with first ideas of uncertainty can already be enhanced in primary school. A challenge is how to relate theoretical-combinatorial aspects to empirical frequency aspects, given that fraction concepts are usually not available at primary school. In the frame of a Design Based Research approach we have designed and realized a teaching sequence consisting of seven lessons to develop statistical reasoning about uncertainty of grade 4 students (age 10-11). To supervise their learning processes we collected data on different levels: (a) written pre/post-tests, (b) working notes after each lesson and (c) interviews after the teaching unit. In this paper we will mainly present the design of teaching unit and first results from the analysis of pre- and posttests.</jats:p>","lang":"eng"}]},{"ddc":["510"],"user_id":"52730","language":[{"iso":"eng"}],"_id":"64268","has_accepted_license":"1","date_updated":"2026-02-19T13:24:06Z","author":[{"id":"52730","full_name":"Kuit, Job","first_name":"Job","last_name":"Kuit"}],"year":"2022","title":"Plancherel theory on real spherical spaces","status":"public","department":[{"_id":"10"}],"type":"habilitation","date_created":"2026-02-19T13:18:11Z","file":[{"success":1,"content_type":"application/pdf","file_id":"64269","access_level":"closed","file_size":1510358,"file_name":"HabilitatieThesis.pdf","date_updated":"2026-02-19T13:17:23Z","relation":"main_file","date_created":"2026-02-19T13:17:23Z","creator":"jobkuit"}],"citation":{"bibtex":"@book{Kuit_2022, title={Plancherel theory on real spherical spaces}, author={Kuit, Job}, year={2022} }","chicago":"Kuit, Job. <i>Plancherel Theory on Real Spherical Spaces</i>, 2022.","ama":"Kuit J. <i>Plancherel Theory on Real Spherical Spaces</i>.; 2022.","short":"J. Kuit, Plancherel Theory on Real Spherical Spaces, 2022.","ieee":"J. Kuit, <i>Plancherel theory on real spherical spaces</i>. 2022.","apa":"Kuit, J. (2022). <i>Plancherel theory on real spherical spaces</i>.","mla":"Kuit, Job. <i>Plancherel Theory on Real Spherical Spaces</i>. 2022."},"file_date_updated":"2026-02-19T13:17:23Z"},{"citation":{"mla":"Olbrich, Martin, and Guendalina Palmirotta. “Delorme’s Intertwining Conditions for Sections of Homogeneous Vector Bundles on Two- and Three-Dimensional Hyperbolic Spaces.” <i>Annals of Global Analysis and Geometry</i>, vol. 63, no. 1, 9, Springer Science and Business Media LLC, 2022, doi:<a href=\"https://doi.org/10.1007/s10455-022-09882-w\">10.1007/s10455-022-09882-w</a>.","ama":"Olbrich M, Palmirotta G. Delorme’s intertwining conditions for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces. <i>Annals of Global Analysis and Geometry</i>. 2022;63(1). doi:<a href=\"https://doi.org/10.1007/s10455-022-09882-w\">10.1007/s10455-022-09882-w</a>","bibtex":"@article{Olbrich_Palmirotta_2022, title={Delorme’s intertwining conditions for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces}, volume={63}, DOI={<a href=\"https://doi.org/10.1007/s10455-022-09882-w\">10.1007/s10455-022-09882-w</a>}, number={19}, journal={Annals of Global Analysis and Geometry}, publisher={Springer Science and Business Media LLC}, author={Olbrich, Martin and Palmirotta, Guendalina}, year={2022} }","apa":"Olbrich, M., &#38; Palmirotta, G. (2022). Delorme’s intertwining conditions for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces. <i>Annals of Global Analysis and Geometry</i>, <i>63</i>(1), Article 9. <a href=\"https://doi.org/10.1007/s10455-022-09882-w\">https://doi.org/10.1007/s10455-022-09882-w</a>","ieee":"M. Olbrich and G. Palmirotta, “Delorme’s intertwining conditions for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces,” <i>Annals of Global Analysis and Geometry</i>, vol. 63, no. 1, Art. no. 9, 2022, doi: <a href=\"https://doi.org/10.1007/s10455-022-09882-w\">10.1007/s10455-022-09882-w</a>.","chicago":"Olbrich, Martin, and Guendalina Palmirotta. “Delorme’s Intertwining Conditions for Sections of Homogeneous Vector Bundles on Two- and Three-Dimensional Hyperbolic Spaces.” <i>Annals of Global Analysis and Geometry</i> 63, no. 1 (2022). <a href=\"https://doi.org/10.1007/s10455-022-09882-w\">https://doi.org/10.1007/s10455-022-09882-w</a>.","short":"M. Olbrich, G. Palmirotta, Annals of Global Analysis and Geometry 63 (2022)."},"_id":"64570","publisher":"Springer Science and Business Media LLC","volume":63,"user_id":"109467","status":"public","date_created":"2026-02-20T20:02:50Z","department":[{"_id":"10"},{"_id":"548"}],"type":"journal_article","issue":"1","publication":"Annals of Global Analysis and Geometry","extern":"1","language":[{"iso":"eng"}],"article_number":"9","doi":"10.1007/s10455-022-09882-w","author":[{"last_name":"Olbrich","first_name":"Martin","full_name":"Olbrich, Martin"},{"id":"109467","full_name":"Palmirotta, Guendalina","last_name":"Palmirotta","first_name":"Guendalina"}],"publication_identifier":{"issn":["0232-704X","1572-9060"]},"title":"Delorme’s intertwining conditions for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces","year":"2022","intvolume":"        63","publication_status":"published","date_updated":"2026-02-20T20:03:38Z"},{"status":"public","page":"53--384","_id":"64571","publisher":"Heldermann Verlag","user_id":"109467","volume":34,"citation":{"apa":"Olbrich, M., &#38; Palmirotta, G. (2022). A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on $G/K$. <i>Journal of Lie Theory</i>, <i>34</i>(2), 53--384.","ieee":"M. Olbrich and G. Palmirotta, “A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on $G/K$,” <i>Journal of Lie theory</i>, vol. 34, no. 2, pp. 53--384, 2022.","short":"M. Olbrich, G. Palmirotta, Journal of Lie Theory 34 (2022) 53--384.","chicago":"Olbrich, Martin, and Guendalina Palmirotta. “A Topological Paley-Wiener-Schwartz Theorem for Sections of Homogeneous Vector Bundles on $G/K$.” <i>Journal of Lie Theory</i> 34, no. 2 (2022): 53--384.","mla":"Olbrich, Martin, and Guendalina Palmirotta. “A Topological Paley-Wiener-Schwartz Theorem for Sections of Homogeneous Vector Bundles on $G/K$.” <i>Journal of Lie Theory</i>, vol. 34, no. 2, Heldermann Verlag, 2022, pp. 53--384.","ama":"Olbrich M, Palmirotta G. A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on $G/K$. <i>Journal of Lie theory</i>. 2022;34(2):53--384.","bibtex":"@article{Olbrich_Palmirotta_2022, title={A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on $G/K$}, volume={34}, number={2}, journal={Journal of Lie theory}, publisher={Heldermann Verlag}, author={Olbrich, Martin and Palmirotta, Guendalina}, year={2022}, pages={53--384} }"},"external_id":{"arxiv":["2202.06905"]},"year":"2022","title":"A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on $G/K$","author":[{"full_name":"Olbrich, Martin","first_name":"Martin","last_name":"Olbrich"},{"full_name":"Palmirotta, Guendalina","first_name":"Guendalina","last_name":"Palmirotta","id":"109467"}],"publication_status":"published","date_updated":"2026-02-20T20:07:31Z","intvolume":"        34","language":[{"iso":"eng"}],"issue":"2","publication":"Journal of Lie theory","extern":"1","abstract":[{"lang":"eng","text":"We study the Fourier transform for compactly supported distributional sections of complex homogeneous vector bundles on symmetric spaces of non-compact type $X = G/K$. We prove a characterisation of their range. In fact, from Delorme's Paley-Wiener theorem for compactly supported smooth functions on a real reductive group of Harish-Chandra class, we deduce topological Paley-Wiener and Paley-Wiener-Schwartz theorems for sections."}],"date_created":"2026-02-20T20:04:49Z","type":"journal_article","department":[{"_id":"10"},{"_id":"548"}]},{"year":"2022","status":"public","title":"Lehrerbildung als staatliche und gesellschaftliche Aufgabe angesichts gegenwärtiger und zukünftiger Herausforderungen","publication_identifier":{"isbn":["9783658340667","9783658340674"],"issn":["2197-8751","2197-876X"]},"author":[{"full_name":"Sjuts, Johann","first_name":"Johann","last_name":"Sjuts"}],"publication_status":"published","date_updated":"2024-11-26T11:48:53Z","_id":"56202","language":[{"iso":"ger"}],"publisher":"Springer Fachmedien Wiesbaden","user_id":"37888","doi":"10.1007/978-3-658-34067-4_2","publication":"Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik","citation":{"chicago":"Sjuts, Johann. “Lehrerbildung als staatliche und gesellschaftliche Aufgabe angesichts gegenwärtiger und zukünftiger Herausforderungen.” In <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>. 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Noé, Machine Learning: Science and Technology (2021).","mla":"Klus, Stefan, et al. “Symmetric and Antisymmetric Kernels for Machine Learning Problems in Quantum Physics and Chemistry.” <i>Machine Learning: Science and Technology</i>, 045016, 2021, doi:<a href=\"https://doi.org/10.1088/2632-2153/ac14ad\">10.1088/2632-2153/ac14ad</a>.","ama":"Klus S, Gelß P, Nüske F, Noé F. Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry. <i>Machine Learning: Science and Technology</i>. Published online 2021. doi:<a href=\"https://doi.org/10.1088/2632-2153/ac14ad\">10.1088/2632-2153/ac14ad</a>","bibtex":"@article{Klus_Gelß_Nüske_Noé_2021, title={Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry}, DOI={<a href=\"https://doi.org/10.1088/2632-2153/ac14ad\">10.1088/2632-2153/ac14ad</a>}, number={045016}, journal={Machine Learning: Science and Technology}, author={Klus, Stefan and Gelß, Patrick and Nüske, Feliks and Noé, Frank}, year={2021} }"},"type":"journal_article","department":[{"_id":"101"}],"date_created":"2021-09-12T08:52:57Z","publication_status":"published","date_updated":"2022-01-06T06:56:08Z","status":"public","title":"Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry","year":"2021","publication_identifier":{"issn":["2632-2153"]},"author":[{"full_name":"Klus, Stefan","last_name":"Klus","first_name":"Stefan"},{"full_name":"Gelß, Patrick","last_name":"Gelß","first_name":"Patrick"},{"id":"81513","first_name":"Feliks","orcid":"0000-0003-2444-7889","last_name":"Nüske","full_name":"Nüske, Feliks"},{"full_name":"Noé, Frank","last_name":"Noé","first_name":"Frank"}],"user_id":"81513","doi":"10.1088/2632-2153/ac14ad","article_number":"045016","_id":"24170","language":[{"iso":"eng"}]},{"date_updated":"2022-01-06T06:54:49Z","author":[{"full_name":"Goelz, Christian","first_name":"Christian","last_name":"Goelz"},{"first_name":"Karin","last_name":"Mora","full_name":"Mora, Karin"},{"full_name":"Stroehlein, Julia Kristin","last_name":"Stroehlein","first_name":"Julia Kristin"},{"full_name":"Haase, Franziska Katharina","first_name":"Franziska Katharina","last_name":"Haase"},{"last_name":"Dellnitz","first_name":"Michael","full_name":"Dellnitz, Michael"},{"last_name":"Reinsberger","first_name":"Claus","full_name":"Reinsberger, Claus"},{"last_name":"Vieluf","first_name":"Solveig","full_name":"Vieluf, Solveig"}],"title":"Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults","year":"2021","status":"public","doi":"10.1007/s11571-020-09656-9","user_id":"32643","_id":"21195","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://link.springer.com/content/pdf/10.1007/s11571-020-09656-9.pdf"}],"citation":{"ama":"Goelz C, Mora K, Stroehlein JK, et al. Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults. <i>Cognitive Neurodynamics</i>. 2021. doi:<a href=\"https://doi.org/10.1007/s11571-020-09656-9\">10.1007/s11571-020-09656-9</a>","bibtex":"@article{Goelz_Mora_Stroehlein_Haase_Dellnitz_Reinsberger_Vieluf_2021, title={Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults}, DOI={<a href=\"https://doi.org/10.1007/s11571-020-09656-9\">10.1007/s11571-020-09656-9</a>}, journal={Cognitive Neurodynamics}, author={Goelz, Christian and Mora, Karin and Stroehlein, Julia Kristin and Haase, Franziska Katharina and Dellnitz, Michael and Reinsberger, Claus and Vieluf, Solveig}, year={2021} }","mla":"Goelz, Christian, et al. “Electrophysiological Signatures of Dedifferentiation Differ between Fit and Less Fit Older Adults.” <i>Cognitive Neurodynamics</i>, 2021, doi:<a href=\"https://doi.org/10.1007/s11571-020-09656-9\">10.1007/s11571-020-09656-9</a>.","chicago":"Goelz, Christian, Karin Mora, Julia Kristin Stroehlein, Franziska Katharina Haase, Michael Dellnitz, Claus Reinsberger, and Solveig Vieluf. “Electrophysiological Signatures of Dedifferentiation Differ between Fit and Less Fit Older Adults.” <i>Cognitive Neurodynamics</i>, 2021. <a href=\"https://doi.org/10.1007/s11571-020-09656-9\">https://doi.org/10.1007/s11571-020-09656-9</a>.","short":"C. Goelz, K. Mora, J.K. Stroehlein, F.K. Haase, M. Dellnitz, C. Reinsberger, S. Vieluf, Cognitive Neurodynamics (2021).","apa":"Goelz, C., Mora, K., Stroehlein, J. K., Haase, F. K., Dellnitz, M., Reinsberger, C., &#38; Vieluf, S. (2021). Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults. <i>Cognitive Neurodynamics</i>. <a href=\"https://doi.org/10.1007/s11571-020-09656-9\">https://doi.org/10.1007/s11571-020-09656-9</a>","ieee":"C. Goelz <i>et al.</i>, “Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults,” <i>Cognitive Neurodynamics</i>, 2021."},"publication":"Cognitive Neurodynamics","department":[{"_id":"101"}],"type":"journal_article","date_created":"2021-02-08T13:16:07Z"},{"_id":"21337","user_id":"47427","volume":26,"status":"public","oa":"1","citation":{"bibtex":"@article{Berkemeier_Peitz_2021, title={Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models}, volume={26}, DOI={<a href=\"https://doi.org/10.3390/mca26020031\">10.3390/mca26020031</a>}, number={231}, journal={Mathematical and Computational Applications}, author={Berkemeier, Manuel Bastian and Peitz, Sebastian}, year={2021} }","ama":"Berkemeier MB, Peitz S. Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models. <i>Mathematical and Computational Applications</i>. 2021;26(2). doi:<a href=\"https://doi.org/10.3390/mca26020031\">10.3390/mca26020031</a>","mla":"Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models.” <i>Mathematical and Computational Applications</i>, vol. 26, no. 2, 31, 2021, doi:<a href=\"https://doi.org/10.3390/mca26020031\">10.3390/mca26020031</a>.","chicago":"Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models.” <i>Mathematical and Computational Applications</i> 26, no. 2 (2021). <a href=\"https://doi.org/10.3390/mca26020031\">https://doi.org/10.3390/mca26020031</a>.","short":"M.B. Berkemeier, S. Peitz, Mathematical and Computational Applications 26 (2021).","ieee":"M. B. Berkemeier and S. Peitz, “Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models,” <i>Mathematical and Computational Applications</i>, vol. 26, no. 2, 2021.","apa":"Berkemeier, M. B., &#38; Peitz, S. (2021). Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models. <i>Mathematical and Computational Applications</i>, <i>26</i>(2). <a href=\"https://doi.org/10.3390/mca26020031\">https://doi.org/10.3390/mca26020031</a>"},"main_file_link":[{"open_access":"1","url":"https://www.mdpi.com/2297-8747/26/2/31/pdf"}],"article_number":"31","language":[{"iso":"eng"}],"doi":"10.3390/mca26020031","year":"2021","title":"Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models","author":[{"last_name":"Berkemeier","first_name":"Manuel Bastian","full_name":"Berkemeier, Manuel Bastian","id":"51701"},{"id":"47427","full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","last_name":"Peitz","first_name":"Sebastian"}],"publication_identifier":{"eissn":["2297-8747"]},"date_updated":"2022-01-06T06:54:55Z","publication_status":"published","intvolume":"        26","date_created":"2021-03-01T10:46:48Z","type":"journal_article","department":[{"_id":"101"},{"_id":"655"}],"issue":"2","publication":"Mathematical and Computational Applications","abstract":[{"text":"We present a flexible trust region descend algorithm for unconstrained and\r\nconvexly constrained multiobjective optimization problems. It is targeted at\r\nheterogeneous and expensive problems, i.e., problems that have at least one\r\nobjective function that is computationally expensive. The method is\r\nderivative-free in the sense that neither need derivative information be\r\navailable for the expensive objectives nor are gradients approximated using\r\nrepeated function evaluations as is the case in finite-difference methods.\r\nInstead, a multiobjective trust region approach is used that works similarly to\r\nits well-known scalar pendants. Local surrogate models constructed from\r\nevaluation data of the true objective functions are employed to compute\r\npossible descent directions. In contrast to existing multiobjective trust\r\nregion algorithms, these surrogates are not polynomial but carefully\r\nconstructed radial basis function networks. This has the important advantage\r\nthat the number of data points scales linearly with the parameter space\r\ndimension. The local models qualify as fully linear and the corresponding\r\ngeneral scalar framework is adapted for problems with multiple objectives.\r\nConvergence to Pareto critical points is proven and numerical examples\r\nillustrate our findings.","lang":"eng"}]},{"_id":"21820","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://www.mdpi.com/1099-4300/23/2/134"}],"article_number":"134","doi":"10.3390/e23020134","user_id":"81513","author":[{"full_name":"Nüske, Feliks","first_name":"Feliks","orcid":"0000-0003-2444-7889","last_name":"Nüske","id":"81513"},{"full_name":"Koltai, Péter","last_name":"Koltai","first_name":"Péter"},{"full_name":"Boninsegna, Lorenzo","last_name":"Boninsegna","first_name":"Lorenzo"},{"full_name":"Clementi, Cecilia","last_name":"Clementi","first_name":"Cecilia"}],"publication_identifier":{"issn":["1099-4300"]},"status":"public","title":"Spectral Properties of Effective Dynamics from Conditional Expectations","year":"2021","date_updated":"2022-01-06T06:55:16Z","publication_status":"published","date_created":"2021-04-28T18:07:56Z","oa":"1","department":[{"_id":"101"}],"type":"journal_article","citation":{"short":"F. Nüske, P. Koltai, L. Boninsegna, C. Clementi, Entropy (2021).","chicago":"Nüske, Feliks, Péter Koltai, Lorenzo Boninsegna, and Cecilia Clementi. “Spectral Properties of Effective Dynamics from Conditional Expectations.” <i>Entropy</i>, 2021. <a href=\"https://doi.org/10.3390/e23020134\">https://doi.org/10.3390/e23020134</a>.","ieee":"F. Nüske, P. Koltai, L. Boninsegna, and C. Clementi, “Spectral Properties of Effective Dynamics from Conditional Expectations,” <i>Entropy</i>, 2021.","apa":"Nüske, F., Koltai, P., Boninsegna, L., &#38; Clementi, C. (2021). Spectral Properties of Effective Dynamics from Conditional Expectations. <i>Entropy</i>. <a href=\"https://doi.org/10.3390/e23020134\">https://doi.org/10.3390/e23020134</a>","bibtex":"@article{Nüske_Koltai_Boninsegna_Clementi_2021, title={Spectral Properties of Effective Dynamics from Conditional Expectations}, DOI={<a href=\"https://doi.org/10.3390/e23020134\">10.3390/e23020134</a>}, number={134}, journal={Entropy}, author={Nüske, Feliks and Koltai, Péter and Boninsegna, Lorenzo and Clementi, Cecilia}, year={2021} }","ama":"Nüske F, Koltai P, Boninsegna L, Clementi C. Spectral Properties of Effective Dynamics from Conditional Expectations. <i>Entropy</i>. 2021. doi:<a href=\"https://doi.org/10.3390/e23020134\">10.3390/e23020134</a>","mla":"Nüske, Feliks, et al. “Spectral Properties of Effective Dynamics from Conditional Expectations.” <i>Entropy</i>, 134, 2021, doi:<a href=\"https://doi.org/10.3390/e23020134\">10.3390/e23020134</a>."},"publication":"Entropy","abstract":[{"text":"<jats:p>The reduction of high-dimensional systems to effective models on a smaller set of variables is an essential task in many areas of science. For stochastic dynamics governed by diffusion processes, a general procedure to find effective equations is the conditioning approach. In this paper, we are interested in the spectrum of the generator of the resulting effective dynamics, and how it compares to the spectrum of the full generator. We prove a new relative error bound in terms of the eigenfunction approximation error for reversible systems. We also present numerical examples indicating that, if Kramers–Moyal (KM) type approximations are used to compute the spectrum of the reduced generator, it seems largely insensitive to the time window used for the KM estimators. We analyze the implications of these observations for systems driven by underdamped Langevin dynamics, and show how meaningful effective dynamics can be defined in this setting.</jats:p>","lang":"eng"}]},{"citation":{"ama":"Gebken B, Peitz S. An efficient descent method for locally Lipschitz multiobjective optimization problems. <i>Journal of Optimization Theory and Applications</i>. 2021;188:696-723. doi:<a href=\"https://doi.org/10.1007/s10957-020-01803-w\">10.1007/s10957-020-01803-w</a>","bibtex":"@article{Gebken_Peitz_2021, title={An efficient descent method for locally Lipschitz multiobjective optimization problems}, volume={188}, DOI={<a href=\"https://doi.org/10.1007/s10957-020-01803-w\">10.1007/s10957-020-01803-w</a>}, journal={Journal of Optimization Theory and Applications}, author={Gebken, Bennet and Peitz, Sebastian}, year={2021}, pages={696–723} }","mla":"Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.” <i>Journal of Optimization Theory and Applications</i>, vol. 188, 2021, pp. 696–723, doi:<a href=\"https://doi.org/10.1007/s10957-020-01803-w\">10.1007/s10957-020-01803-w</a>.","chicago":"Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.” <i>Journal of Optimization Theory and Applications</i> 188 (2021): 696–723. <a href=\"https://doi.org/10.1007/s10957-020-01803-w\">https://doi.org/10.1007/s10957-020-01803-w</a>.","short":"B. Gebken, S. Peitz, Journal of Optimization Theory and Applications 188 (2021) 696–723.","apa":"Gebken, B., &#38; Peitz, S. (2021). An efficient descent method for locally Lipschitz multiobjective optimization problems. <i>Journal of Optimization Theory and Applications</i>, <i>188</i>, 696–723. <a href=\"https://doi.org/10.1007/s10957-020-01803-w\">https://doi.org/10.1007/s10957-020-01803-w</a>","ieee":"B. Gebken and S. Peitz, “An efficient descent method for locally Lipschitz multiobjective optimization problems,” <i>Journal of Optimization Theory and Applications</i>, vol. 188, pp. 696–723, 2021."},"oa":"1","status":"public","_id":"16867","page":"696-723","volume":188,"user_id":"47427","publication":"Journal of Optimization Theory and Applications","abstract":[{"lang":"eng","text":"In this article, we present an efficient descent method for locally Lipschitz\r\ncontinuous multiobjective optimization problems (MOPs). The method is realized\r\nby combining a theoretical result regarding the computation of descent\r\ndirections for nonsmooth MOPs with a practical method to approximate the\r\nsubdifferentials of the objective functions. We show convergence to points\r\nwhich satisfy a necessary condition for Pareto optimality. Using a set of test\r\nproblems, we compare our method to the multiobjective proximal bundle method by\r\nM\\\"akel\\\"a. The results indicate that our method is competitive while being\r\neasier to implement. While the number of objective function evaluations is\r\nlarger, the overall number of subgradient evaluations is lower. Finally, we\r\nshow that our method can be combined with a subdivision algorithm to compute\r\nentire Pareto sets of nonsmooth MOPs."}],"date_created":"2020-04-27T09:11:22Z","department":[{"_id":"101"}],"type":"journal_article","author":[{"full_name":"Gebken, Bennet","last_name":"Gebken","first_name":"Bennet","id":"32643"},{"id":"47427","first_name":"Sebastian","orcid":"0000-0002-3389-793X","last_name":"Peitz","full_name":"Peitz, Sebastian"}],"year":"2021","title":"An efficient descent method for locally Lipschitz multiobjective optimization problems","intvolume":"       188","date_updated":"2022-01-06T06:52:57Z","publication_status":"published","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://link.springer.com/content/pdf/10.1007/s10957-020-01803-w.pdf","open_access":"1"}],"doi":"10.1007/s10957-020-01803-w"},{"publication":"Journal of Global Optimization","abstract":[{"text":"It is a challenging task to identify the objectives on which a certain decision was based, in particular if several, potentially conflicting criteria are equally important and a continuous set of optimal compromise decisions exists. This task can be understood as the inverse problem of multiobjective optimization, where the goal is to find the objective function vector of a given Pareto set. To this end, we present a method to construct the objective function vector of an unconstrained multiobjective optimization problem (MOP) such that the Pareto critical set contains a given set of data points with prescribed KKT multipliers. If such an MOP can not be found, then the method instead produces an MOP whose Pareto critical set is at least close to the data points. The key idea is to consider the objective function vector in the multiobjective KKT conditions as variable and then search for the objectives that minimize the Euclidean norm of the resulting system of equations. By expressing the objectives in a finite-dimensional basis, we transform this problem into a homogeneous, linear system of equations that can be solved efficiently. Potential applications of this approach include the identification of objectives (both from clean and noisy data) and the construction of surrogate models for expensive MOPs.","lang":"eng"}],"date_created":"2020-03-13T12:45:05Z","type":"journal_article","department":[{"_id":"101"}],"title":"Inverse multiobjective optimization: Inferring decision criteria from data","year":"2021","author":[{"id":"32643","last_name":"Gebken","first_name":"Bennet","full_name":"Gebken, Bennet"},{"id":"47427","full_name":"Peitz, Sebastian","first_name":"Sebastian","orcid":"https://orcid.org/0000-0002-3389-793X","last_name":"Peitz"}],"date_updated":"2022-01-06T06:52:48Z","intvolume":"        80","main_file_link":[{"open_access":"1","url":"https://link.springer.com/content/pdf/10.1007/s10898-020-00983-z.pdf"}],"language":[{"iso":"eng"}],"doi":"10.1007/s10898-020-00983-z","citation":{"mla":"Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.” <i>Journal of Global Optimization</i>, vol. 80, Springer, 2021, pp. 3–29, doi:<a href=\"https://doi.org/10.1007/s10898-020-00983-z\">10.1007/s10898-020-00983-z</a>.","bibtex":"@article{Gebken_Peitz_2021, title={Inverse multiobjective optimization: Inferring decision criteria from data}, volume={80}, DOI={<a href=\"https://doi.org/10.1007/s10898-020-00983-z\">10.1007/s10898-020-00983-z</a>}, journal={Journal of Global Optimization}, publisher={Springer}, author={Gebken, Bennet and Peitz, Sebastian}, year={2021}, pages={3–29} }","ama":"Gebken B, Peitz S. Inverse multiobjective optimization: Inferring decision criteria from data. <i>Journal of Global Optimization</i>. 2021;80:3-29. doi:<a href=\"https://doi.org/10.1007/s10898-020-00983-z\">10.1007/s10898-020-00983-z</a>","ieee":"B. Gebken and S. Peitz, “Inverse multiobjective optimization: Inferring decision criteria from data,” <i>Journal of Global Optimization</i>, vol. 80, pp. 3–29, 2021.","apa":"Gebken, B., &#38; Peitz, S. (2021). Inverse multiobjective optimization: Inferring decision criteria from data. <i>Journal of Global Optimization</i>, <i>80</i>, 3–29. <a href=\"https://doi.org/10.1007/s10898-020-00983-z\">https://doi.org/10.1007/s10898-020-00983-z</a>","short":"B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.","chicago":"Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.” <i>Journal of Global Optimization</i> 80 (2021): 3–29. <a href=\"https://doi.org/10.1007/s10898-020-00983-z\">https://doi.org/10.1007/s10898-020-00983-z</a>."},"oa":"1","status":"public","page":"3-29","publisher":"Springer","_id":"16295","user_id":"47427","volume":80}]