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Published online 2023.","chicago":"Jakob, Johanna. “Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen,” 2023.","ieee":"J. Jakob, “Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen.” 2023.","apa":"Jakob, J. (2023). <i>Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen</i>.","mla":"Jakob, Johanna. <i>Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen</i>. 2023.","short":"J. Jakob, (2023).","bibtex":"@article{Jakob_2023, title={Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen}, author={Jakob, Johanna}, year={2023} }"},"year":"2023","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"55575","external_id":{"arxiv":["2307.03473"]},"language":[{"iso":"eng"}],"type":"preprint","status":"public"},{"abstract":[{"text":"The article shows how to learn models of dynamical systems from data which are governed by an unknown variational PDE. Rather than employing reduction techniques, we learn a discrete field theory governed by a discrete Lagrangian density $L_d$ that is modelled as a neural network. Careful regularisation of the loss function for training $L_d$ is necessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of the discrete Euler--Lagrange equations. Secondly, we develop a method to find solutions to machine learned discrete field theories which constitute travelling waves of the underlying continuous PDE.","lang":"eng"}],"file":[{"relation":"main_file","content_type":"application/pdf","file_size":1938962,"description":"The article shows how to learn models of dynamical systems\nfrom data which are governed by an unknown variational PDE. Rather\nthan employing reduction techniques, we learn a discrete field theory\ngoverned by a discrete Lagrangian density Ld that is modelled as a neural network. Careful regularisation of the loss function for training Ld is\nnecessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of\nthe discrete Euler–Lagrange equations. Secondly, we develop a method to\nfind solutions to machine learned discrete field theories which constitute\ntravelling waves of the underlying continuous PDE.","title":"Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves","file_id":"46273","access_level":"open_access","file_name":"LDensityLearning.pdf","date_updated":"2023-08-02T12:04:17Z","date_created":"2023-08-02T12:04:17Z","creator":"coffen"}],"publication":"Geometric Science of Information","keyword":["System identification","discrete Lagrangians","travelling waves"],"ddc":["510"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["2302.08232 "]},"year":"2023","quality_controlled":"1","title":"Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves","publisher":"Springer, Cham.","date_created":"2023-02-16T11:32:48Z","editor":[{"full_name":"Nielsen, F","last_name":"Nielsen","first_name":"F"},{"first_name":"F","last_name":"Barbaresco","full_name":"Barbaresco, F"}],"status":"public","type":"conference","file_date_updated":"2023-08-02T12:04:17Z","_id":"42163","project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"department":[{"_id":"636"}],"series_title":"Lecture Notes in Computer Science (LNCS)","user_id":"85279","intvolume":"     14071","page":"569-579","citation":{"bibtex":"@inproceedings{Offen_Ober-Blöbaum_2023, series={Lecture Notes in Computer Science (LNCS)}, title={Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves}, volume={14071}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-38271-0_57\">10.1007/978-3-031-38271-0_57</a>}, booktitle={Geometric Science of Information}, publisher={Springer, Cham.}, author={Offen, Christian and Ober-Blöbaum, Sina}, editor={Nielsen, F and Barbaresco, F}, year={2023}, pages={569–579}, collection={Lecture Notes in Computer Science (LNCS)} }","mla":"Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” <i>Geometric Science of Information</i>, edited by F Nielsen and F Barbaresco, vol. 14071, Springer, Cham., 2023, pp. 569–79, doi:<a href=\"https://doi.org/10.1007/978-3-031-38271-0_57\">10.1007/978-3-031-38271-0_57</a>.","short":"C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric Science of Information, Springer, Cham., 2023, pp. 569–579.","apa":"Offen, C., &#38; Ober-Blöbaum, S. (2023). Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In F. Nielsen &#38; F. Barbaresco (Eds.), <i>Geometric Science of Information</i> (Vol. 14071, pp. 569–579). Springer, Cham. <a href=\"https://doi.org/10.1007/978-3-031-38271-0_57\">https://doi.org/10.1007/978-3-031-38271-0_57</a>","ieee":"C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves,” in <i>Geometric Science of Information</i>, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071, pp. 569–579, doi: <a href=\"https://doi.org/10.1007/978-3-031-38271-0_57\">10.1007/978-3-031-38271-0_57</a>.","chicago":"Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” In <i>Geometric Science of Information</i>, edited by F Nielsen and F Barbaresco, 14071:569–79. Lecture Notes in Computer Science (LNCS). Springer, Cham., 2023. <a href=\"https://doi.org/10.1007/978-3-031-38271-0_57\">https://doi.org/10.1007/978-3-031-38271-0_57</a>.","ama":"Offen C, Ober-Blöbaum S. Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In: Nielsen F, Barbaresco F, eds. <i>Geometric Science of Information</i>. Vol 14071. Lecture Notes in Computer Science (LNCS). Springer, Cham.; 2023:569-579. doi:<a href=\"https://doi.org/10.1007/978-3-031-38271-0_57\">10.1007/978-3-031-38271-0_57</a>"},"publication_identifier":{"eisbn":["978-3-031-38271-0"]},"has_accepted_license":"1","publication_status":"published","related_material":{"link":[{"relation":"software","description":"GitHub","url":"https://github.com/Christian-Offen/LagrangianDensityML"}]},"conference":{"end_date":"2023-09-01","location":"Saint-Malo, Palais du Grand Large, France","name":"  GSI'23 6th International Conference on Geometric Science of Information","start_date":"2023-08-30"},"doi":"10.1007/978-3-031-38271-0_57","oa":"1","date_updated":"2024-08-12T13:46:29Z","volume":14071,"author":[{"first_name":"Christian","id":"85279","full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","last_name":"Offen"},{"full_name":"Ober-Blöbaum, Sina","id":"16494","last_name":"Ober-Blöbaum","first_name":"Sina"}]},{"publisher":"University of Engineering and Technology, Lahore","date_updated":"2024-08-13T07:57:33Z","date_created":"2024-08-13T07:56:52Z","author":[{"first_name":"Denis","full_name":"Divkovic, Denis","id":"89059","last_name":"Divkovic"},{"full_name":"Meschede, Henning","id":"86954","last_name":"Meschede","orcid":"0000-0002-1538-089X","first_name":"Henning"}],"supervisor":[{"id":"86954","full_name":"Meschede, Henning","last_name":"Meschede","orcid":"0000-0002-1538-089X","first_name":"Henning"}],"title":"Decarbonisation and extension of existing district heating systems in German cities","year":"2023","place":"Islamabad, Pakistan","citation":{"mla":"Divkovic, Denis, and Henning Meschede. <i>Decarbonisation and Extension of Existing District Heating Systems in German Cities</i>. University of Engineering and Technology, Lahore, 2023.","short":"D. Divkovic, H. Meschede, Decarbonisation and Extension of Existing District Heating Systems in German Cities, University of Engineering and Technology, Lahore, Islamabad, Pakistan, 2023.","bibtex":"@book{Divkovic_Meschede_2023, place={Islamabad, Pakistan}, series={Planning in Germany and Pakistan:  Responding Challenges of Climate Change through Intercultural Dialogue}, title={Decarbonisation and extension of existing district heating systems in German cities}, publisher={University of Engineering and Technology, Lahore}, author={Divkovic, Denis and Meschede, Henning}, year={2023}, collection={Planning in Germany and Pakistan:  Responding Challenges of Climate Change through Intercultural Dialogue} }","apa":"Divkovic, D., &#38; Meschede, H. (2023). <i>Decarbonisation and extension of existing district heating systems in German cities</i>. University of Engineering and Technology, Lahore.","chicago":"Divkovic, Denis, and Henning Meschede. <i>Decarbonisation and Extension of Existing District Heating Systems in German Cities</i>. Planning in Germany and Pakistan:  Responding Challenges of Climate Change through Intercultural Dialogue. Islamabad, Pakistan: University of Engineering and Technology, Lahore, 2023.","ieee":"D. Divkovic and H. Meschede, <i>Decarbonisation and extension of existing district heating systems in German cities</i>. Islamabad, Pakistan: University of Engineering and Technology, Lahore, 2023.","ama":"Divkovic D, Meschede H. <i>Decarbonisation and Extension of Existing District Heating Systems in German Cities</i>. University of Engineering and Technology, Lahore; 2023."},"_id":"55584","user_id":"89059","series_title":"Planning in Germany and Pakistan:  Responding Challenges of Climate Change through Intercultural Dialogue","language":[{"iso":"eng"}],"type":"misc","status":"public"},{"_id":"49899","department":[{"_id":"17"},{"_id":"174"},{"_id":"320"}],"user_id":"85816","keyword":["General Psychology"],"language":[{"iso":"eng"}],"publication":"Frontiers in Psychology","type":"journal_article","abstract":[{"lang":"eng","text":"<jats:p>This research aimed to understand the role of after-school sports programs in social inclusion processes in culturally diverse contexts through a multicase study within two locations. The first location was in Spain where immigrant and Spanish students were enrolled, and the other was in Chile with Mapuche-Huilliche students, immigrant and Chilean students. The implemented programs at both sites were similar in their educational focus on socio-educational values, and teaching models (hybridization of teaching games for understanding and cooperative learning) that enhance social inclusion. Using individual and group interviews with teachers, sports coordinators, parents, and students, a qualitative approach was used to identify the factors that facilitate or hinder the social inclusion processes. In addition, the researchers used qualitative observations of the programs over six months using “notes logbook” to record their impressions during the observation process. Results indicated that the implemented sports programs successfully facilitated social inclusion processes, enabling the development of interpersonal skills and relationships between students from different cultural backgrounds. The previous training and experiences of teachers in culturally diverse contexts, and incorporation of traditional sporting games from all cultures, seems to be an important facilitator factor for the inclusion potential of the implemented programs.</jats:p>"}],"status":"public","date_updated":"2024-08-13T13:53:15Z","publisher":"Frontiers Media SA","volume":14,"author":[{"full_name":"Carter-Thuillier, Bastian","last_name":"Carter-Thuillier","first_name":"Bastian"},{"last_name":"López-Pastor","full_name":"López-Pastor, Víctor","first_name":"Víctor"},{"last_name":"Gallardo-Fuentes","full_name":"Gallardo-Fuentes, Francisco","first_name":"Francisco"},{"last_name":"Carter-Beltran","full_name":"Carter-Beltran, Juan","first_name":"Juan"},{"last_name":"Fernández-Balboa","full_name":"Fernández-Balboa, Juan-Miguel","first_name":"Juan-Miguel"},{"first_name":"Pedro","full_name":"Delgado-Floody, Pedro","last_name":"Delgado-Floody"},{"first_name":"Elke","last_name":"Grimminger-Seidensticker","id":"85816","full_name":"Grimminger-Seidensticker, Elke"},{"first_name":"Andrew","full_name":"Sortwell, Andrew","last_name":"Sortwell"}],"date_created":"2023-12-20T10:03:26Z","title":"After-school sports programmes and social inclusion processes in culturally diverse contexts: Results of an international multicase study","doi":"10.3389/fpsyg.2023.1122362","publication_identifier":{"issn":["1664-1078"]},"has_accepted_license":"1","publication_status":"published","year":"2023","intvolume":"        14","citation":{"mla":"Carter-Thuillier, Bastian, et al. “After-School Sports Programmes and Social Inclusion Processes in Culturally Diverse Contexts: Results of an International Multicase Study.” <i>Frontiers in Psychology</i>, vol. 14, Frontiers Media SA, 2023, doi:<a href=\"https://doi.org/10.3389/fpsyg.2023.1122362\">10.3389/fpsyg.2023.1122362</a>.","short":"B. Carter-Thuillier, V. López-Pastor, F. Gallardo-Fuentes, J. Carter-Beltran, J.-M. Fernández-Balboa, P. Delgado-Floody, E. Grimminger-Seidensticker, A. Sortwell, Frontiers in Psychology 14 (2023).","bibtex":"@article{Carter-Thuillier_López-Pastor_Gallardo-Fuentes_Carter-Beltran_Fernández-Balboa_Delgado-Floody_Grimminger-Seidensticker_Sortwell_2023, title={After-school sports programmes and social inclusion processes in culturally diverse contexts: Results of an international multicase study}, volume={14}, DOI={<a href=\"https://doi.org/10.3389/fpsyg.2023.1122362\">10.3389/fpsyg.2023.1122362</a>}, journal={Frontiers in Psychology}, publisher={Frontiers Media SA}, author={Carter-Thuillier, Bastian and López-Pastor, Víctor and Gallardo-Fuentes, Francisco and Carter-Beltran, Juan and Fernández-Balboa, Juan-Miguel and Delgado-Floody, Pedro and Grimminger-Seidensticker, Elke and Sortwell, Andrew}, year={2023} }","apa":"Carter-Thuillier, B., López-Pastor, V., Gallardo-Fuentes, F., Carter-Beltran, J., Fernández-Balboa, J.-M., Delgado-Floody, P., Grimminger-Seidensticker, E., &#38; Sortwell, A. (2023). After-school sports programmes and social inclusion processes in culturally diverse contexts: Results of an international multicase study. <i>Frontiers in Psychology</i>, <i>14</i>. <a href=\"https://doi.org/10.3389/fpsyg.2023.1122362\">https://doi.org/10.3389/fpsyg.2023.1122362</a>","ama":"Carter-Thuillier B, López-Pastor V, Gallardo-Fuentes F, et al. After-school sports programmes and social inclusion processes in culturally diverse contexts: Results of an international multicase study. <i>Frontiers in Psychology</i>. 2023;14. doi:<a href=\"https://doi.org/10.3389/fpsyg.2023.1122362\">10.3389/fpsyg.2023.1122362</a>","ieee":"B. Carter-Thuillier <i>et al.</i>, “After-school sports programmes and social inclusion processes in culturally diverse contexts: Results of an international multicase study,” <i>Frontiers in Psychology</i>, vol. 14, 2023, doi: <a href=\"https://doi.org/10.3389/fpsyg.2023.1122362\">10.3389/fpsyg.2023.1122362</a>.","chicago":"Carter-Thuillier, Bastian, Víctor López-Pastor, Francisco Gallardo-Fuentes, Juan Carter-Beltran, Juan-Miguel Fernández-Balboa, Pedro Delgado-Floody, Elke Grimminger-Seidensticker, and Andrew Sortwell. “After-School Sports Programmes and Social Inclusion Processes in Culturally Diverse Contexts: Results of an International Multicase Study.” <i>Frontiers in Psychology</i> 14 (2023). <a href=\"https://doi.org/10.3389/fpsyg.2023.1122362\">https://doi.org/10.3389/fpsyg.2023.1122362</a>."}},{"type":"journal_article","publication":"Quick And Easy Journal Title","file":[{"content_type":"application/pdf","relation":"main_file","date_updated":"2023-12-20T10:03:48Z","date_created":"2023-12-20T10:03:48Z","creator":"egs","file_size":1627382,"file_name":"Carter-Thuillier_etal_Frontiers_Psychology_4-1122362.pdf","file_id":"49901","access_level":"open_access"}],"status":"public","_id":"49900","user_id":"85816","department":[{"_id":"17"},{"_id":"174"},{"_id":"320"}],"ddc":["150"],"language":[{"iso":"eng"}],"file_date_updated":"2023-12-20T10:03:48Z","has_accepted_license":"1","year":"2023","citation":{"ieee":"E. Grimminger-Seidensticker, “New Quick And Easy Publication - Will be edited by LibreCat team,” <i>Quick And Easy Journal Title</i>, 2023.","chicago":"Grimminger-Seidensticker, Elke. “New Quick And Easy Publication - Will Be Edited by LibreCat Team.” <i>Quick And Easy Journal Title</i>, 2023.","mla":"Grimminger-Seidensticker, Elke. “New Quick And Easy Publication - Will Be Edited by LibreCat Team.” <i>Quick And Easy Journal Title</i>, 2023.","bibtex":"@article{Grimminger-Seidensticker_2023, title={New Quick And Easy Publication - Will be edited by LibreCat team}, journal={Quick And Easy Journal Title}, author={Grimminger-Seidensticker, Elke}, year={2023} }","short":"E. Grimminger-Seidensticker, Quick And Easy Journal Title (2023).","ama":"Grimminger-Seidensticker E. New Quick And Easy Publication - Will be edited by LibreCat team. <i>Quick And Easy Journal Title</i>. Published online 2023.","apa":"Grimminger-Seidensticker, E. (2023). New Quick And Easy Publication - Will be edited by LibreCat team. <i>Quick And Easy Journal Title</i>."},"oa":"1","date_updated":"2024-08-13T13:53:42Z","author":[{"last_name":"Grimminger-Seidensticker","id":"85816","full_name":"Grimminger-Seidensticker, Elke","first_name":"Elke"}],"date_created":"2023-12-20T10:03:57Z","title":"New Quick And Easy Publication - Will be edited by LibreCat team"},{"type":"conference","publication":"4S Conference (Society for the Social Studies of Science), Honolulu/Hawaii, November 9","status":"public","project":[{"grant_number":"438445824","_id":"109","name":"TRR 318: TRR 318 - Erklärbarkeit konstruieren"}],"_id":"51767","user_id":"72684","department":[{"_id":"660"}],"language":[{"iso":"eng"}],"publication_status":"unpublished","year":"2023","citation":{"ama":"Beer F, Schulz C. The Return of Black Box Theory in Explainable AI. In: <i>4S Conference (Society for the Social Studies of Science), Honolulu/Hawaii, November 9</i>.","chicago":"Beer, Fabian , and Christian Schulz. “The Return of Black Box Theory in Explainable AI.” In <i>4S Conference (Society for the Social Studies of Science), Honolulu/Hawaii, November 9</i>, n.d.","ieee":"F. Beer and C. Schulz, “The Return of Black Box Theory in Explainable AI.”","short":"F. Beer, C. Schulz, in: 4S Conference (Society for the Social Studies of Science), Honolulu/Hawaii, November 9, n.d.","mla":"Beer, Fabian, and Christian Schulz. “The Return of Black Box Theory in Explainable AI.” <i>4S Conference (Society for the Social Studies of Science), Honolulu/Hawaii, November 9</i>.","bibtex":"@inproceedings{Beer_Schulz, title={The Return of Black Box Theory in Explainable AI}, booktitle={4S Conference (Society for the Social Studies of Science), Honolulu/Hawaii, November 9}, author={Beer, Fabian  and Schulz, Christian} }","apa":"Beer, F., &#38; Schulz, C. (n.d.). The Return of Black Box Theory in Explainable AI. <i>4S Conference (Society for the Social Studies of Science), Honolulu/Hawaii, November 9</i>."},"date_updated":"2024-08-14T06:15:04Z","author":[{"first_name":"Fabian ","full_name":"Beer, Fabian ","last_name":"Beer"},{"id":"72684","full_name":"Schulz, Christian","last_name":"Schulz","first_name":"Christian"}],"date_created":"2024-02-22T15:15:20Z","title":"The Return of Black Box Theory in Explainable AI"}]