[{"user_id":"106108","doi":"10.1007/s00208-022-02452-2","volume":387,"page":"291–320","language":[{"iso":"eng"}],"_id":"55279","date_updated":"2024-07-24T07:26:05Z","intvolume":"       387","status":"public","year":"2023","title":"Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums","author":[{"last_name":"Minelli","first_name":"P.","full_name":"Minelli, P."},{"first_name":"A.","last_name":"Sourmelidis","full_name":"Sourmelidis, A."},{"id":"106108","full_name":"Technau, Marc","last_name":"Technau","first_name":"Marc","orcid":"0000-0001-9650-2459"}],"type":"journal_article","department":[{"_id":"102"}],"date_created":"2024-07-16T11:09:01Z","extern":"1","publication":"Math. Ann.","citation":{"mla":"Minelli, P., et al. “Bias in the Number of Steps in the Euclidean Algorithm and a Conjecture of Ito on Dedekind Sums.” <i>Math. Ann.</i>, vol. 387, 2023, pp. 291–320, doi:<a href=\"https://doi.org/10.1007/s00208-022-02452-2\">10.1007/s00208-022-02452-2</a>.","ama":"Minelli P, Sourmelidis A, Technau M. Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. <i>Math Ann</i>. 2023;387:291–320. doi:<a href=\"https://doi.org/10.1007/s00208-022-02452-2\">10.1007/s00208-022-02452-2</a>","bibtex":"@article{Minelli_Sourmelidis_Technau_2023, title={Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums}, volume={387}, DOI={<a href=\"https://doi.org/10.1007/s00208-022-02452-2\">10.1007/s00208-022-02452-2</a>}, journal={Math. Ann.}, author={Minelli, P. and Sourmelidis, A. and Technau, Marc}, year={2023}, pages={291–320} }","apa":"Minelli, P., Sourmelidis, A., &#38; Technau, M. (2023). Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. <i>Math. Ann.</i>, <i>387</i>, 291–320. <a href=\"https://doi.org/10.1007/s00208-022-02452-2\">https://doi.org/10.1007/s00208-022-02452-2</a>","ieee":"P. Minelli, A. Sourmelidis, and M. Technau, “Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums,” <i>Math. Ann.</i>, vol. 387, pp. 291–320, 2023, doi: <a href=\"https://doi.org/10.1007/s00208-022-02452-2\">10.1007/s00208-022-02452-2</a>.","chicago":"Minelli, P., A. Sourmelidis, and Marc Technau. “Bias in the Number of Steps in the Euclidean Algorithm and a Conjecture of Ito on Dedekind Sums.” <i>Math. Ann.</i> 387 (2023): 291–320. <a href=\"https://doi.org/10.1007/s00208-022-02452-2\">https://doi.org/10.1007/s00208-022-02452-2</a>.","short":"P. Minelli, A. Sourmelidis, M. Technau, Math. Ann. 387 (2023) 291–320."}},{"citation":{"ieee":"M. Sengupta, M. Alshomary, I. Scharlau, and H. Wachsmuth, “Modeling Highlighting of Metaphors in Multitask Contrastive Learning Paradigms,” in <i>Findings of the Association for Computational Linguistics: EMNLP 2023</i>, 2023, pp. 4636–4659, doi: <a href=\"https://doi.org/10.18653/v1/2023.findings-emnlp.308\">10.18653/v1/2023.findings-emnlp.308</a>.","apa":"Sengupta, M., Alshomary, M., Scharlau, I., &#38; Wachsmuth, H. (2023). Modeling Highlighting of Metaphors in Multitask Contrastive Learning Paradigms. In H. Bouamor, J. Pino, &#38; K. Bali (Eds.), <i>Findings of the Association for Computational Linguistics: EMNLP 2023</i> (pp. 4636–4659). Association for Computational Linguistics. <a href=\"https://doi.org/10.18653/v1/2023.findings-emnlp.308\">https://doi.org/10.18653/v1/2023.findings-emnlp.308</a>","short":"M. Sengupta, M. Alshomary, I. Scharlau, H. Wachsmuth, in: H. Bouamor, J. Pino, K. Bali (Eds.), Findings of the Association for Computational Linguistics: EMNLP 2023, Association for Computational Linguistics, Singapore, 2023, pp. 4636–4659.","chicago":"Sengupta, Meghdut, Milad Alshomary, Ingrid Scharlau, and Henning Wachsmuth. “Modeling Highlighting of Metaphors in Multitask Contrastive Learning Paradigms.” In <i>Findings of the Association for Computational Linguistics: EMNLP 2023</i>, edited by Houda Bouamor, Juan Pino, and Kalika Bali, 4636–4659. Singapore: Association for Computational Linguistics, 2023. <a href=\"https://doi.org/10.18653/v1/2023.findings-emnlp.308\">https://doi.org/10.18653/v1/2023.findings-emnlp.308</a>.","mla":"Sengupta, Meghdut, et al. “Modeling Highlighting of Metaphors in Multitask Contrastive Learning Paradigms.” <i>Findings of the Association for Computational Linguistics: EMNLP 2023</i>, edited by Houda Bouamor et al., Association for Computational Linguistics, 2023, pp. 4636–4659, doi:<a href=\"https://doi.org/10.18653/v1/2023.findings-emnlp.308\">10.18653/v1/2023.findings-emnlp.308</a>.","bibtex":"@inproceedings{Sengupta_Alshomary_Scharlau_Wachsmuth_2023, place={Singapore}, title={Modeling Highlighting of Metaphors in Multitask Contrastive Learning Paradigms}, DOI={<a href=\"https://doi.org/10.18653/v1/2023.findings-emnlp.308\">10.18653/v1/2023.findings-emnlp.308</a>}, booktitle={Findings of the Association for Computational Linguistics: EMNLP 2023}, publisher={Association for Computational Linguistics}, author={Sengupta, Meghdut and Alshomary, Milad and Scharlau, Ingrid and Wachsmuth, Henning}, editor={Bouamor, Houda and Pino, Juan and Bali, Kalika}, year={2023}, pages={4636–4659} }","ama":"Sengupta M, Alshomary M, Scharlau I, Wachsmuth H. Modeling Highlighting of Metaphors in Multitask Contrastive Learning Paradigms. In: Bouamor H, Pino J, Bali K, eds. <i>Findings of the Association for Computational Linguistics: EMNLP 2023</i>. Association for Computational Linguistics; 2023:4636–4659. doi:<a href=\"https://doi.org/10.18653/v1/2023.findings-emnlp.308\">10.18653/v1/2023.findings-emnlp.308</a>"},"publication":"Findings of the Association for Computational Linguistics: EMNLP 2023","project":[{"_id":"127","name":"TRR 318 - C4: TRR 318 - Subproject C4 - Metaphern als Werkzeug des Erklärens"}],"abstract":[{"text":"Metaphorical language, such as {“}spending time together{”}, projects meaning from a source domain (here, $money$) to a target domain ($time$). Thereby, it highlights certain aspects of the target domain, such as the $effort$ behind the time investment. Highlighting aspects with metaphors (while hiding others) bridges the two domains and is the core of metaphorical meaning construction. For metaphor interpretation, linguistic theories stress that identifying the highlighted aspects is important for a better understanding of metaphors. However, metaphor research in NLP has not yet dealt with the phenomenon of highlighting. In this paper, we introduce the task of identifying the main aspect highlighted in a metaphorical sentence. Given the inherent interaction of source domains and highlighted aspects, we propose two multitask approaches - a joint learning approach and a continual learning approach - based on a finetuned contrastive learning model to jointly predict highlighted aspects and source domains. We further investigate whether (predicted) information about a source domain leads to better performance in predicting the highlighted aspects, and vice versa. Our experiments on an existing corpus suggest that, with the corresponding information, the performance to predict the other improves in terms of model accuracy in predicting highlighted aspects and source domains notably compared to the single-task baselines.","lang":"eng"}],"place":"Singapore","date_created":"2024-07-26T13:09:20Z","department":[{"_id":"600"},{"_id":"660"}],"type":"conference","author":[{"first_name":"Meghdut","last_name":"Sengupta","full_name":"Sengupta, Meghdut","id":"99459"},{"full_name":"Alshomary, Milad","last_name":"Alshomary","first_name":"Milad","id":"73059"},{"id":"451","first_name":"Ingrid","last_name":"Scharlau","orcid":"0000-0003-2364-9489","full_name":"Scharlau, Ingrid"},{"last_name":"Wachsmuth","first_name":"Henning","full_name":"Wachsmuth, Henning","id":"3900"}],"status":"public","year":"2023","title":"Modeling Highlighting of Metaphors in Multitask Contrastive Learning Paradigms","date_updated":"2024-07-26T13:19:53Z","_id":"55406","language":[{"iso":"eng"}],"publisher":"Association for Computational Linguistics","page":"4636–4659","editor":[{"first_name":"Houda","last_name":"Bouamor","full_name":"Bouamor, Houda"},{"full_name":"Pino, Juan","last_name":"Pino","first_name":"Juan"},{"full_name":"Bali, Kalika","first_name":"Kalika","last_name":"Bali"}],"doi":"10.18653/v1/2023.findings-emnlp.308","user_id":"3900"},{"publication_status":"published","date_updated":"2024-07-31T08:06:34Z","title":"Analysis of Electricity Power Generation and Load Profiles in Solar PV Microgrids in Rural Villages of East Africa: Case of Mpale Village in Tanzania","year":"2023","status":"public","author":[{"full_name":"Mwammenywa, Ibrahim","first_name":"Ibrahim","last_name":"Mwammenywa"},{"full_name":"Hilleringmann, Ulrich","last_name":"Hilleringmann","first_name":"Ulrich","id":"20179"}],"user_id":"16148","doi":"10.1109/africon55910.2023.10293635","language":[{"iso":"eng"}],"_id":"55449","publisher":"IEEE","publication":"2023 IEEE AFRICON","citation":{"chicago":"Mwammenywa, Ibrahim, and Ulrich Hilleringmann. “Analysis of Electricity Power Generation and Load Profiles in Solar PV Microgrids in Rural Villages of East Africa: Case of Mpale Village in Tanzania.” In <i>2023 IEEE AFRICON</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/africon55910.2023.10293635\">https://doi.org/10.1109/africon55910.2023.10293635</a>.","short":"I. Mwammenywa, U. Hilleringmann, in: 2023 IEEE AFRICON, IEEE, 2023.","apa":"Mwammenywa, I., &#38; Hilleringmann, U. (2023). Analysis of Electricity Power Generation and Load Profiles in Solar PV Microgrids in Rural Villages of East Africa: Case of Mpale Village in Tanzania. <i>2023 IEEE AFRICON</i>. <a href=\"https://doi.org/10.1109/africon55910.2023.10293635\">https://doi.org/10.1109/africon55910.2023.10293635</a>","ieee":"I. Mwammenywa and U. Hilleringmann, “Analysis of Electricity Power Generation and Load Profiles in Solar PV Microgrids in Rural Villages of East Africa: Case of Mpale Village in Tanzania,” 2023, doi: <a href=\"https://doi.org/10.1109/africon55910.2023.10293635\">10.1109/africon55910.2023.10293635</a>.","ama":"Mwammenywa I, Hilleringmann U. Analysis of Electricity Power Generation and Load Profiles in Solar PV Microgrids in Rural Villages of East Africa: Case of Mpale Village in Tanzania. In: <i>2023 IEEE AFRICON</i>. IEEE; 2023. doi:<a href=\"https://doi.org/10.1109/africon55910.2023.10293635\">10.1109/africon55910.2023.10293635</a>","bibtex":"@inproceedings{Mwammenywa_Hilleringmann_2023, title={Analysis of Electricity Power Generation and Load Profiles in Solar PV Microgrids in Rural Villages of East Africa: Case of Mpale Village in Tanzania}, DOI={<a href=\"https://doi.org/10.1109/africon55910.2023.10293635\">10.1109/africon55910.2023.10293635</a>}, booktitle={2023 IEEE AFRICON}, publisher={IEEE}, author={Mwammenywa, Ibrahim and Hilleringmann, Ulrich}, year={2023} }","mla":"Mwammenywa, Ibrahim, and Ulrich Hilleringmann. “Analysis of Electricity Power Generation and Load Profiles in Solar PV Microgrids in Rural Villages of East Africa: Case of Mpale Village in Tanzania.” <i>2023 IEEE AFRICON</i>, IEEE, 2023, doi:<a href=\"https://doi.org/10.1109/africon55910.2023.10293635\">10.1109/africon55910.2023.10293635</a>."},"type":"conference","department":[{"_id":"53"}],"date_created":"2024-07-31T08:05:15Z"},{"publication":"2023 IEEE PES/IAS PowerAfrica","citation":{"mla":"Mwakijale, Joseph S., et al. “LoRa-Based Swarm Grid Implementation for Rural Electrification in Africa.” <i>2023 IEEE PES/IAS PowerAfrica</i>, IEEE, 2023, doi:<a href=\"https://doi.org/10.1109/powerafrica57932.2023.10363319\">10.1109/powerafrica57932.2023.10363319</a>.","ama":"Mwakijale JS, Mwammenywa I, Hilleringmann U. LoRa-based Swarm Grid Implementation for Rural Electrification in Africa. In: <i>2023 IEEE PES/IAS PowerAfrica</i>. IEEE; 2023. doi:<a href=\"https://doi.org/10.1109/powerafrica57932.2023.10363319\">10.1109/powerafrica57932.2023.10363319</a>","bibtex":"@inproceedings{Mwakijale_Mwammenywa_Hilleringmann_2023, title={LoRa-based Swarm Grid Implementation for Rural Electrification in Africa}, DOI={<a href=\"https://doi.org/10.1109/powerafrica57932.2023.10363319\">10.1109/powerafrica57932.2023.10363319</a>}, booktitle={2023 IEEE PES/IAS PowerAfrica}, publisher={IEEE}, author={Mwakijale, Joseph S. and Mwammenywa, Ibrahim and Hilleringmann, Ulrich}, year={2023} }","apa":"Mwakijale, J. S., Mwammenywa, I., &#38; Hilleringmann, U. (2023). LoRa-based Swarm Grid Implementation for Rural Electrification in Africa. <i>2023 IEEE PES/IAS PowerAfrica</i>. <a href=\"https://doi.org/10.1109/powerafrica57932.2023.10363319\">https://doi.org/10.1109/powerafrica57932.2023.10363319</a>","ieee":"J. S. Mwakijale, I. Mwammenywa, and U. Hilleringmann, “LoRa-based Swarm Grid Implementation for Rural Electrification in Africa,” 2023, doi: <a href=\"https://doi.org/10.1109/powerafrica57932.2023.10363319\">10.1109/powerafrica57932.2023.10363319</a>.","chicago":"Mwakijale, Joseph S., Ibrahim Mwammenywa, and Ulrich Hilleringmann. “LoRa-Based Swarm Grid Implementation for Rural Electrification in Africa.” In <i>2023 IEEE PES/IAS PowerAfrica</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/powerafrica57932.2023.10363319\">https://doi.org/10.1109/powerafrica57932.2023.10363319</a>.","short":"J.S. Mwakijale, I. Mwammenywa, U. Hilleringmann, in: 2023 IEEE PES/IAS PowerAfrica, IEEE, 2023."},"type":"conference","department":[{"_id":"59"}],"date_created":"2024-07-31T08:02:58Z","date_updated":"2024-07-31T08:06:31Z","publication_status":"published","status":"public","title":"LoRa-based Swarm Grid Implementation for Rural Electrification in Africa","year":"2023","author":[{"full_name":"Mwakijale, Joseph S.","first_name":"Joseph S.","last_name":"Mwakijale"},{"full_name":"Mwammenywa, Ibrahim","first_name":"Ibrahim","last_name":"Mwammenywa"},{"first_name":"Ulrich","last_name":"Hilleringmann","full_name":"Hilleringmann, Ulrich","id":"20179"}],"doi":"10.1109/powerafrica57932.2023.10363319","user_id":"16148","_id":"55447","language":[{"iso":"eng"}],"publisher":"IEEE"},{"citation":{"mla":"Heinemann, Alisha, et al., editors. <i>Entgrenzungen. Beiträge Zum 28. Kongress Der Deutschen Gesellschaft Für Erziehungswissenschaft</i>. Verlag Barbara Budrich, 2023, doi:<a href=\"https://doi.org/10.3224/84742750\">10.3224/84742750</a>.","ama":"Heinemann A, Karakaşoğlu Y, Linnemann T, Rose N, Sturm T, eds. <i>Entgrenzungen. Beiträge Zum 28. Kongress Der Deutschen Gesellschaft Für Erziehungswissenschaft</i>. Verlag Barbara Budrich; 2023. doi:<a href=\"https://doi.org/10.3224/84742750\">10.3224/84742750</a>","bibtex":"@book{Heinemann_Karakaşoğlu_Linnemann_Rose_Sturm_2023, title={Entgrenzungen. Beiträge zum 28. Kongress der Deutschen Gesellschaft für Erziehungswissenschaft}, DOI={<a href=\"https://doi.org/10.3224/84742750\">10.3224/84742750</a>}, publisher={Verlag Barbara Budrich}, year={2023} }","apa":"Heinemann, A., Karakaşoğlu, Y., Linnemann, T., Rose, N., &#38; Sturm, T. (Eds.). (2023). <i>Entgrenzungen. Beiträge zum 28. Kongress der Deutschen Gesellschaft für Erziehungswissenschaft</i>. Verlag Barbara Budrich. <a href=\"https://doi.org/10.3224/84742750\">https://doi.org/10.3224/84742750</a>","ieee":"A. Heinemann, Y. Karakaşoğlu, T. Linnemann, N. Rose, and T. Sturm, Eds., <i>Entgrenzungen. Beiträge zum 28. Kongress der Deutschen Gesellschaft für Erziehungswissenschaft</i>. Verlag Barbara Budrich, 2023.","short":"A. Heinemann, Y. Karakaşoğlu, T. Linnemann, N. Rose, T. Sturm, eds., Entgrenzungen. Beiträge Zum 28. Kongress Der Deutschen Gesellschaft Für Erziehungswissenschaft, Verlag Barbara Budrich, 2023.","chicago":"Heinemann, Alisha, Yasemin Karakaşoğlu, Tobias Linnemann, Nadine Rose, and Tanja Sturm, eds. <i>Entgrenzungen. Beiträge Zum 28. Kongress Der Deutschen Gesellschaft Für Erziehungswissenschaft</i>. Verlag Barbara Budrich, 2023. <a href=\"https://doi.org/10.3224/84742750\">https://doi.org/10.3224/84742750</a>."},"abstract":[{"lang":"eng","text":"<jats:p>Globalisierung, Digitalisierung, Klimawandel, Migrationsbewegungen und Pandemie gestalten nicht nur unseren Alltag, sondern auch die Wissenschaft neu. Angesichts dieser gesellschaftlich tiefgreifenden Veränderungen werden Grenzen und ihre Überwindung zu immer zentraleren Herausforderungen, auch für die pädagogischen Forschungsfelder. Der Band versammelt vielfältige Beitrage zum Thema Entgrenzungen und richtet dabei den Blick auf Ent- und Begrenzung in ihrer Bedeutung für Bildung, Erziehung und Sozialisation.</jats:p>"}],"date_created":"2024-07-31T08:12:06Z","department":[{"_id":"53"}],"type":"book_editor","publication_identifier":{"isbn":["9783847427506"]},"year":"2023","title":"Entgrenzungen. Beiträge zum 28. Kongress der Deutschen Gesellschaft für Erziehungswissenschaft","status":"public","date_updated":"2024-07-31T08:36:47Z","publication_status":"published","publisher":"Verlag Barbara Budrich","_id":"55450","editor":[{"full_name":"Heinemann, Alisha","first_name":"Alisha","last_name":"Heinemann"},{"first_name":"Yasemin","last_name":"Karakaşoğlu","full_name":"Karakaşoğlu, Yasemin"},{"first_name":"Tobias","last_name":"Linnemann","full_name":"Linnemann, Tobias"},{"full_name":"Rose, Nadine","first_name":"Nadine","last_name":"Rose"},{"last_name":"Sturm","first_name":"Tanja","full_name":"Sturm, Tanja"}],"doi":"10.3224/84742750","user_id":"16148"},{"publication":"Proceedings of the 36th International Workshop on Description Logics {(DL} 2023) co-located with the 20th International Conference on Principles of Knowledge Representation and Reasoning and the 21st International Workshop on Non-Monotonic Reasoning {(KR} 2023 and NMR 2023)., Rhodes, Greece, September 2-4, 2023","citation":{"bibtex":"@inproceedings{Turhan_2023, series={CEUR Workshop Proceedings}, title={Brushing-up DLs to Cope with Imperfect Data (Abstract of Joint DL+NMR Invited Talk)}, volume={3515}, booktitle={Proceedings of the 36th International Workshop on Description Logics {(DL} 2023) co-located with the 20th International Conference on Principles of Knowledge Representation and Reasoning and the 21st International Workshop on Non-Monotonic Reasoning {(KR} 2023 and NMR 2023)., Rhodes, Greece, September 2-4, 2023}, publisher={CEUR-WS.org}, author={Turhan, Anni-Yasmin}, editor={Kutz, Oliver and Lutz, Carsten and Ozaki, Ana}, year={2023}, collection={CEUR Workshop Proceedings} }","ama":"Turhan A-Y. Brushing-up DLs to Cope with Imperfect Data (Abstract of Joint DL+NMR Invited Talk). In: Kutz O, Lutz C, Ozaki A, eds. <i>Proceedings of the 36th International Workshop on Description Logics {(DL} 2023) Co-Located with the 20th International Conference on Principles of Knowledge Representation and Reasoning and the 21st International Workshop on Non-Monotonic Reasoning {(KR} 2023 and NMR 2023)., Rhodes, Greece, September 2-4, 2023</i>. Vol 3515. CEUR Workshop Proceedings. CEUR-WS.org; 2023.","mla":"Turhan, Anni-Yasmin. “Brushing-up DLs to Cope with Imperfect Data (Abstract of Joint DL+NMR Invited Talk).” <i>Proceedings of the 36th International Workshop on Description Logics {(DL} 2023) Co-Located with the 20th International Conference on Principles of Knowledge Representation and Reasoning and the 21st International Workshop on Non-Monotonic Reasoning {(KR} 2023 and NMR 2023)., Rhodes, Greece, September 2-4, 2023</i>, edited by Oliver Kutz et al., vol. 3515, CEUR-WS.org, 2023.","short":"A.-Y. Turhan, in: O. Kutz, C. Lutz, A. Ozaki (Eds.), Proceedings of the 36th International Workshop on Description Logics {(DL} 2023) Co-Located with the 20th International Conference on Principles of Knowledge Representation and Reasoning and the 21st International Workshop on Non-Monotonic Reasoning {(KR} 2023 and NMR 2023)., Rhodes, Greece, September 2-4, 2023, CEUR-WS.org, 2023.","chicago":"Turhan, Anni-Yasmin. “Brushing-up DLs to Cope with Imperfect Data (Abstract of Joint DL+NMR Invited Talk).” In <i>Proceedings of the 36th International Workshop on Description Logics {(DL} 2023) Co-Located with the 20th International Conference on Principles of Knowledge Representation and Reasoning and the 21st International Workshop on Non-Monotonic Reasoning {(KR} 2023 and NMR 2023)., Rhodes, Greece, September 2-4, 2023</i>, edited by Oliver Kutz, Carsten Lutz, and Ana Ozaki, Vol. 3515. CEUR Workshop Proceedings. CEUR-WS.org, 2023.","ieee":"A.-Y. Turhan, “Brushing-up DLs to Cope with Imperfect Data (Abstract of Joint DL+NMR Invited Talk),” in <i>Proceedings of the 36th International Workshop on Description Logics {(DL} 2023) co-located with the 20th International Conference on Principles of Knowledge Representation and Reasoning and the 21st International Workshop on Non-Monotonic Reasoning {(KR} 2023 and NMR 2023)., Rhodes, Greece, September 2-4, 2023</i>, 2023, vol. 3515.","apa":"Turhan, A.-Y. (2023). Brushing-up DLs to Cope with Imperfect Data (Abstract of Joint DL+NMR Invited Talk). In O. Kutz, C. Lutz, &#38; A. Ozaki (Eds.), <i>Proceedings of the 36th International Workshop on Description Logics {(DL} 2023) co-located with the 20th International Conference on Principles of Knowledge Representation and Reasoning and the 21st International Workshop on Non-Monotonic Reasoning {(KR} 2023 and NMR 2023)., Rhodes, Greece, September 2-4, 2023</i> (Vol. 3515). 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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.","creator":"coffen","content_type":"application/pdf","file_id":"46273","title":"Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves","file_size":1938962,"access_level":"open_access","file_name":"LDensityLearning.pdf","date_updated":"2023-08-02T12:04:17Z","relation":"main_file"}],"department":[{"_id":"636"}],"type":"conference","keyword":["System identification","discrete Lagrangians","travelling waves"],"publication":"Geometric Science of Information","related_material":{"link":[{"url":"https://github.com/Christian-Offen/LagrangianDensityML","relation":"software","description":"GitHub"}]},"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. 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