[{"editor":[{"last_name":"Bürgel","first_name":"Christoph","full_name":"Bürgel, Christoph","id":"58448"},{"first_name":"Jens ","last_name":"Heiderich","full_name":"Heiderich, Jens "},{"last_name":"Koch","first_name":"Corinna","full_name":"Koch, Corinna"},{"full_name":"Schlaak, Claudia","last_name":"Schlaak","first_name":"Claudia"},{"full_name":"Visser, Judith","first_name":"Judith","last_name":"Visser"}],"volume":"Heft 18,1","user_id":"43976","language":[{"iso":"eng"}],"_id":"58215","series_title":"Zeitschrift für Romanische Sprachen und ihre Didaktik","main_file_link":[{"url":"Paderborn"}],"date_updated":"2026-05-13T13:47:37Z","title":"\tZeitschrift für Romanische Sprachen und ihre Didaktik","year":"2024","status":"public","type":"book_editor","date_created":"2025-01-16T14:17:38Z","citation":{"mla":"Bürgel, Christoph, et al., editors. <i>\tZeitschrift Für Romanische Sprachen Und Ihre Didaktik</i>. 2024.","ama":"Bürgel C, Heiderich J, Koch C, Schlaak C, Visser J, eds. <i>\tZeitschrift Für Romanische Sprachen Und Ihre Didaktik</i>. Vol Heft 18,1.; 2024.","bibtex":"@book{Bürgel_Heiderich_Koch_Schlaak_Visser_2024, series={Zeitschrift für Romanische Sprachen und ihre Didaktik}, title={\tZeitschrift für Romanische Sprachen und ihre Didaktik}, volume={Heft 18,1}, year={2024}, collection={Zeitschrift für Romanische Sprachen und ihre Didaktik} }","apa":"Bürgel, C., Heiderich, J., Koch, C., Schlaak, C., &#38; Visser, J. (Eds.). (2024). <i>\tZeitschrift für Romanische Sprachen und ihre Didaktik: Vol. Heft 18,1</i>.","ieee":"C. Bürgel, J. Heiderich, C. Koch, C. Schlaak, and J. Visser, Eds., <i>\tZeitschrift für Romanische Sprachen und ihre Didaktik</i>, vol. Heft 18,1. 2024.","chicago":"Bürgel, Christoph, Jens  Heiderich, Corinna Koch, Claudia Schlaak, and Judith Visser, eds. <i>\tZeitschrift Für Romanische Sprachen Und Ihre Didaktik</i>. Vol. Heft 18,1. Zeitschrift Für Romanische Sprachen Und Ihre Didaktik, 2024.","short":"C. Bürgel, J. Heiderich, C. Koch, C. Schlaak, J. Visser, eds., \tZeitschrift Für Romanische Sprachen Und Ihre Didaktik, 2024."}},{"citation":{"apa":"Bürgel, C., Heiderich, J., Koch, C., Schlaak, C., &#38; Visser, J. (Eds.). (2024). <i>Zeitschrift für Romanische Sprachen und ihre Didaktik: Vol. 18,2</i>.","ieee":"C. Bürgel, J. Heiderich, C. Koch, C. Schlaak, and J. Visser, Eds., <i>Zeitschrift für Romanische Sprachen und ihre Didaktik</i>, vol. 18,2. 2024.","chicago":"Bürgel, Christoph, Jens Heiderich, Corinna Koch, Claudia Schlaak, and Judith Visser, eds. <i>Zeitschrift Für Romanische Sprachen Und Ihre Didaktik</i>. Vol. 18,2, 2024.","short":"C. Bürgel, J. Heiderich, C. Koch, C. Schlaak, J. Visser, eds., Zeitschrift Für Romanische Sprachen Und Ihre Didaktik, 2024.","mla":"Bürgel, Christoph, et al., editors. <i>Zeitschrift Für Romanische Sprachen Und Ihre Didaktik</i>. 2024.","ama":"Bürgel C, Heiderich J, Koch C, Schlaak C, Visser J, eds. <i>Zeitschrift Für Romanische Sprachen Und Ihre Didaktik</i>. Vol 18,2.; 2024.","bibtex":"@book{Bürgel_Heiderich_Koch_Schlaak_Visser_2024, title={Zeitschrift für Romanische Sprachen und ihre Didaktik}, volume={18,2}, year={2024} }"},"type":"book_editor","date_created":"2026-05-13T13:42:23Z","date_updated":"2026-05-13T13:50:43Z","title":"Zeitschrift für Romanische Sprachen und ihre Didaktik","status":"public","year":"2024","user_id":"43976","volume":"18,2","editor":[{"last_name":"Bürgel","first_name":"Christoph","full_name":"Bürgel, Christoph","id":"58448"},{"last_name":"Heiderich","first_name":"Jens","full_name":"Heiderich, Jens"},{"first_name":"Corinna","last_name":"Koch","full_name":"Koch, Corinna"},{"full_name":"Schlaak, Claudia","first_name":"Claudia","last_name":"Schlaak"},{"full_name":"Visser, Judith","last_name":"Visser","first_name":"Judith"}],"_id":"65622","language":[{"iso":"eng"}]},{"doi":"10.4230/LIPIcs.MFCS.2024.7","language":[{"iso":"eng"}],"date_updated":"2026-05-15T08:39:23Z","publication_status":"published","intvolume":"       306","year":"2024","title":"Quantum Polynomial Hierarchies: Karp-Lipton, error reduction, and lower  bounds","author":[{"first_name":"Avantika","last_name":"Agarwal","full_name":"Agarwal, Avantika"},{"id":"71541","full_name":"Gharibian, Sevag","last_name":"Gharibian","orcid":"0000-0002-9992-3379","first_name":"Sevag"},{"first_name":"Venkata","last_name":"Koppula","full_name":"Koppula, Venkata"},{"full_name":"Rudolph, Dorian","last_name":"Rudolph","first_name":"Dorian","id":"57863"}],"type":"conference","department":[{"_id":"7"},{"_id":"623"}],"date_created":"2024-01-07T20:09:32Z","abstract":[{"lang":"eng","text":"The Polynomial-Time Hierarchy ($\\mathsf{PH}$) is a staple of classical\r\ncomplexity theory, with applications spanning randomized computation to circuit\r\nlower bounds to ''quantum advantage'' analyses for near-term quantum computers.\r\nQuantumly, however, despite the fact that at least \\emph{four} definitions of\r\nquantum $\\mathsf{PH}$ exist, it has been challenging to prove analogues for\r\nthese of even basic facts from $\\mathsf{PH}$. This work studies three\r\nquantum-verifier based generalizations of $\\mathsf{PH}$, two of which are from\r\n[Gharibian, Santha, Sikora, Sundaram, Yirka, 2022] and use classical strings\r\n($\\mathsf{QCPH}$) and quantum mixed states ($\\mathsf{QPH}$) as proofs, and one\r\nof which is new to this work, utilizing quantum pure states\r\n($\\mathsf{pureQPH}$) as proofs. We first resolve several open problems from\r\n[GSSSY22], including a collapse theorem and a Karp-Lipton theorem for\r\n$\\mathsf{QCPH}$. Then, for our new class $\\mathsf{pureQPH}$, we show one-sided\r\nerror reduction for $\\mathsf{pureQPH}$, as well as the first bounds relating\r\nthese quantum variants of $\\mathsf{PH}$, namely $\\mathsf{QCPH}\\subseteq\r\n\\mathsf{pureQPH} \\subseteq \\mathsf{EXP}^{\\mathsf{PP}}$."}],"publication":"Proceedings of 49th International Symposium on Mathematical Foundations of Computer Science (MFCS)","issue":"7","user_id":"71541","volume":306,"page":"7-17","_id":"50273","status":"public","external_id":{"arxiv":["2401.01633"]},"citation":{"bibtex":"@inproceedings{Agarwal_Gharibian_Koppula_Rudolph_2024, title={Quantum Polynomial Hierarchies: Karp-Lipton, error reduction, and lower  bounds}, volume={306}, DOI={<a href=\"https://doi.org/10.4230/LIPIcs.MFCS.2024.7\">10.4230/LIPIcs.MFCS.2024.7</a>}, number={7}, booktitle={Proceedings of 49th International Symposium on Mathematical Foundations of Computer Science (MFCS)}, author={Agarwal, Avantika and Gharibian, Sevag and Koppula, Venkata and Rudolph, Dorian}, year={2024}, pages={7–17} }","ama":"Agarwal A, Gharibian S, Koppula V, Rudolph D. Quantum Polynomial Hierarchies: Karp-Lipton, error reduction, and lower  bounds. In: <i>Proceedings of 49th International Symposium on Mathematical Foundations of Computer Science (MFCS)</i>. Vol 306. ; 2024:7-17. doi:<a href=\"https://doi.org/10.4230/LIPIcs.MFCS.2024.7\">10.4230/LIPIcs.MFCS.2024.7</a>","mla":"Agarwal, Avantika, et al. “Quantum Polynomial Hierarchies: Karp-Lipton, Error Reduction, and Lower  Bounds.” <i>Proceedings of 49th International Symposium on Mathematical Foundations of Computer Science (MFCS)</i>, vol. 306, no. 7, 2024, pp. 7–17, doi:<a href=\"https://doi.org/10.4230/LIPIcs.MFCS.2024.7\">10.4230/LIPIcs.MFCS.2024.7</a>.","short":"A. Agarwal, S. Gharibian, V. Koppula, D. Rudolph, in: Proceedings of 49th International Symposium on Mathematical Foundations of Computer Science (MFCS), 2024, pp. 7–17.","chicago":"Agarwal, Avantika, Sevag Gharibian, Venkata Koppula, and Dorian Rudolph. “Quantum Polynomial Hierarchies: Karp-Lipton, Error Reduction, and Lower  Bounds.” In <i>Proceedings of 49th International Symposium on Mathematical Foundations of Computer Science (MFCS)</i>, 306:7–17, 2024. <a href=\"https://doi.org/10.4230/LIPIcs.MFCS.2024.7\">https://doi.org/10.4230/LIPIcs.MFCS.2024.7</a>.","ieee":"A. Agarwal, S. Gharibian, V. Koppula, and D. Rudolph, “Quantum Polynomial Hierarchies: Karp-Lipton, error reduction, and lower  bounds,” in <i>Proceedings of 49th International Symposium on Mathematical Foundations of Computer Science (MFCS)</i>, 2024, vol. 306, no. 7, pp. 7–17, doi: <a href=\"https://doi.org/10.4230/LIPIcs.MFCS.2024.7\">10.4230/LIPIcs.MFCS.2024.7</a>.","apa":"Agarwal, A., Gharibian, S., Koppula, V., &#38; Rudolph, D. (2024). Quantum Polynomial Hierarchies: Karp-Lipton, error reduction, and lower  bounds. <i>Proceedings of 49th International Symposium on Mathematical Foundations of Computer Science (MFCS)</i>, <i>306</i>(7), 7–17. <a href=\"https://doi.org/10.4230/LIPIcs.MFCS.2024.7\">https://doi.org/10.4230/LIPIcs.MFCS.2024.7</a>"}},{"type":"conference","department":[{"_id":"7"},{"_id":"623"}],"external_id":{"arxiv":["2401.03943"]},"date_created":"2024-01-09T13:59:44Z","abstract":[{"text":"What is the power of polynomial-time quantum computation with access to an NP\r\noracle? In this work, we focus on two fundamental tasks from the study of\r\nBoolean satisfiability (SAT) problems: search-to-decision reductions, and\r\napproximate counting. We first show that, in strong contrast to the classical\r\nsetting where a poly-time Turing machine requires $\\Theta(n)$ queries to an NP\r\noracle to compute a witness to a given SAT formula, quantumly $\\Theta(\\log n)$\r\nqueries suffice. We then show this is tight in the black-box model - any\r\nquantum algorithm with \"NP-like\" query access to a formula requires\r\n$\\Omega(\\log n)$ queries to extract a solution with constant probability.\r\nMoving to approximate counting of SAT solutions, by exploiting a quantum link\r\nbetween search-to-decision reductions and approximate counting, we show that\r\nexisting classical approximate counting algorithms are likely optimal. First,\r\nwe give a lower bound in the \"NP-like\" black-box query setting: Approximate\r\ncounting requires $\\Omega(\\log n)$ queries, even on a quantum computer. We then\r\ngive a \"white-box\" lower bound (i.e. where the input formula is not hidden in\r\nthe oracle) - if there exists a randomized poly-time classical or quantum\r\nalgorithm for approximate counting making $o(log n)$ NP queries, then\r\n$\\text{BPP}^{\\text{NP}[o(n)]}$ contains a $\\text{P}^{\\text{NP}}$-complete\r\nproblem if the algorithm is classical and $\\text{FBQP}^{\\text{NP}[o(n)]}$\r\ncontains an $\\text{FP}^{\\text{NP}}$-complete problem if the algorithm is\r\nquantum.","lang":"eng"}],"publication":"Proceedings of 51st EATCS International Colloquium on Automata, Languages and Programming (ICALP)","issue":"70","citation":{"ieee":"S. Gharibian and J. Kamminga, “BQP, meet NP: Search-to-decision reductions and approximate counting,” in <i>Proceedings of 51st EATCS International Colloquium on Automata, Languages and Programming (ICALP)</i>, 2024, vol. 297, no. 70, pp. 1–19.","apa":"Gharibian, S., &#38; Kamminga, J. (2024). BQP, meet NP: Search-to-decision reductions and approximate counting. <i>Proceedings of 51st EATCS International Colloquium on Automata, Languages and Programming (ICALP)</i>, <i>297</i>(70), 1–19.","short":"S. Gharibian, J. Kamminga, in: Proceedings of 51st EATCS International Colloquium on Automata, Languages and Programming (ICALP), 2024, pp. 1–19.","chicago":"Gharibian, Sevag, and Jonas Kamminga. “BQP, Meet NP: Search-to-Decision Reductions and Approximate Counting.” In <i>Proceedings of 51st EATCS International Colloquium on Automata, Languages and Programming (ICALP)</i>, 297:1–19, 2024.","mla":"Gharibian, Sevag, and Jonas Kamminga. “BQP, Meet NP: Search-to-Decision Reductions and Approximate Counting.” <i>Proceedings of 51st EATCS International Colloquium on Automata, Languages and Programming (ICALP)</i>, vol. 297, no. 70, 2024, pp. 1–19.","bibtex":"@inproceedings{Gharibian_Kamminga_2024, title={BQP, meet NP: Search-to-decision reductions and approximate counting}, volume={297}, number={70}, booktitle={Proceedings of 51st EATCS International Colloquium on Automata, Languages and Programming (ICALP)}, author={Gharibian, Sevag and Kamminga, Jonas}, year={2024}, pages={1–19} }","ama":"Gharibian S, Kamminga J. BQP, meet NP: Search-to-decision reductions and approximate counting. In: <i>Proceedings of 51st EATCS International Colloquium on Automata, Languages and Programming (ICALP)</i>. Vol 297. ; 2024:1-19."},"user_id":"71541","volume":297,"page":"1-19","_id":"50406","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2026-05-15T08:41:59Z","intvolume":"       297","year":"2024","title":"BQP, meet NP: Search-to-decision reductions and approximate counting","status":"public","author":[{"id":"71541","full_name":"Gharibian, Sevag","orcid":"0000-0002-9992-3379","last_name":"Gharibian","first_name":"Sevag"},{"full_name":"Kamminga, Jonas","first_name":"Jonas","last_name":"Kamminga"}]},{"publication":"arXiv:2411.04120","citation":{"chicago":"Huber, Felix, Kevin Thompson, Ojas Parekh, and Sevag Gharibian. “Second Order Cone Relaxations for Quantum Max Cut.” <i>ArXiv:2411.04120</i>, 2024.","short":"F. Huber, K. Thompson, O. Parekh, S. Gharibian, ArXiv:2411.04120 (2024).","apa":"Huber, F., Thompson, K., Parekh, O., &#38; Gharibian, S. (2024). Second order cone relaxations for quantum Max Cut. In <i>arXiv:2411.04120</i>.","ieee":"F. Huber, K. Thompson, O. Parekh, and S. Gharibian, “Second order cone relaxations for quantum Max Cut,” <i>arXiv:2411.04120</i>. 2024.","ama":"Huber F, Thompson K, Parekh O, Gharibian S. Second order cone relaxations for quantum Max Cut. <i>arXiv:241104120</i>. Published online 2024.","bibtex":"@article{Huber_Thompson_Parekh_Gharibian_2024, title={Second order cone relaxations for quantum Max Cut}, journal={arXiv:2411.04120}, author={Huber, Felix and Thompson, Kevin and Parekh, Ojas and Gharibian, Sevag}, year={2024} }","mla":"Huber, Felix, et al. “Second Order Cone Relaxations for Quantum Max Cut.” <i>ArXiv:2411.04120</i>, 2024."},"abstract":[{"text":"Quantum Max Cut (QMC), also known as the quantum anti-ferromagnetic\r\nHeisenberg model, is a QMA-complete problem relevant to quantum many-body\r\nphysics and computer science. Semidefinite programming relaxations have been\r\nfruitful in designing theoretical approximation algorithms for QMC, but are\r\ncomputationally expensive for systems beyond tens of qubits. We give a second\r\norder cone relaxation for QMC, which optimizes over the set of mutually\r\nconsistent three-qubit reduced density matrices. In combination with Pauli\r\nlevel-$1$ of the quantum Lasserre hierarchy, the relaxation achieves an\r\napproximation ratio of $0.526$ to the ground state energy. Our relaxation is\r\nsolvable on systems with hundreds of qubits and paves the way to\r\ncomputationally efficient lower and upper bounds on the ground state energy of\r\nlarge-scale quantum spin systems.","lang":"eng"}],"external_id":{"arxiv":["2411.04120"]},"date_created":"2024-11-07T12:09:37Z","type":"preprint","department":[{"_id":"7"},{"_id":"623"}],"title":"Second order cone relaxations for quantum Max Cut","status":"public","year":"2024","author":[{"first_name":"Felix","last_name":"Huber","full_name":"Huber, Felix"},{"first_name":"Kevin","last_name":"Thompson","full_name":"Thompson, Kevin"},{"last_name":"Parekh","first_name":"Ojas","full_name":"Parekh, Ojas"},{"id":"71541","orcid":"0000-0002-9992-3379","last_name":"Gharibian","first_name":"Sevag","full_name":"Gharibian, Sevag"}],"date_updated":"2026-05-15T08:41:38Z","_id":"56944","language":[{"iso":"eng"}],"user_id":"71541"},{"citation":{"chicago":"Gharibian, Sevag. “Guest Column: The 7 Faces of Quantum NP.” <i>ACM SIGACT News</i> 54, no. 4 (2024): 54–91.","short":"S. Gharibian, ACM SIGACT News 54 (2024) 54–91.","apa":"Gharibian, S. (2024). Guest Column: The 7 faces of quantum NP. <i>ACM SIGACT News</i>, <i>54</i>(4), 54–91.","ieee":"S. Gharibian, “Guest Column: The 7 faces of quantum NP,” <i>ACM SIGACT News</i>, vol. 54, no. 4, pp. 54–91, 2024.","ama":"Gharibian S. Guest Column: The 7 faces of quantum NP. <i>ACM SIGACT News</i>. 2024;54(4):54-91.","bibtex":"@article{Gharibian_2024, title={Guest Column: The 7 faces of quantum NP}, volume={54}, number={4}, journal={ACM SIGACT News}, author={Gharibian, Sevag}, year={2024}, pages={54–91} }","mla":"Gharibian, Sevag. “Guest Column: The 7 Faces of Quantum NP.” <i>ACM SIGACT News</i>, vol. 54, no. 4, 2024, pp. 54–91."},"oa":"1","status":"public","volume":54,"user_id":"71541","_id":"48544","page":"54-91","related_material":{"link":[{"relation":"confirmation","url":"https://dl.acm.org/doi/abs/10.1145/3639528.3639535"}]},"abstract":[{"lang":"eng","text":"When it comes to NP, its natural definition, its wide applicability across scientific disciplines, and its timeless relevance, the writing is on the wall: There can be only one. Quantum NP, on the other hand, is clearly the apple that fell far from the tree of NP. Two decades since the first definitions of quantum NP started rolling in, quantum complexity theorists face a stark reality: There's QMA, QCMA, QMA1, QMA(2), StoqMA, and NQP. In this article aimed at a general theoretical computer science audience, I survey these various definitions of quantum NP, their strengths and weaknesses, and why most of them, for better or worse, actually appear to fit naturally into the complexity zoo."}],"publication":"ACM SIGACT News","issue":"4","department":[{"_id":"7"},{"_id":"623"}],"type":"journal_article","date_created":"2023-10-30T12:19:11Z","article_type":"review","intvolume":"        54","publication_status":"published","date_updated":"2026-05-15T08:42:54Z","author":[{"id":"71541","orcid":"0000-0002-9992-3379","first_name":"Sevag","last_name":"Gharibian","full_name":"Gharibian, Sevag"}],"title":"Guest Column: The 7 faces of quantum NP","year":"2024","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2310.18010"}]},{"date_updated":"2026-05-19T11:46:49Z","author":[{"full_name":"Gövert, Andre","last_name":"Gövert","first_name":"Andre"},{"first_name":"Constanze","last_name":"Niederhaus","full_name":"Niederhaus, Constanze"},{"full_name":"Blumberg, Eva","first_name":"Eva","last_name":"Blumberg"}],"year":"2024","title":"Professionalisierung für Sprachbildung aus Sicht von Sachunterrichtsstudierenden – Langzeitwirkungen eines Vertiefungsseminars in der ersten Phase der sachunterrichtsdidaktischen Lehrer*innenbildung. ","status":"public","editor":[{"full_name":"Blumberg, Eva","last_name":"Blumberg","first_name":"Eva"},{"first_name":"Niederhaus","last_name":"Constanze","full_name":"Constanze, Niederhaus"},{"full_name":"Anne, Mischendahl","first_name":"Mischendahl","last_name":"Anne"}],"user_id":"54999","_id":"65638","language":[{"iso":"eng"}],"publisher":"Kohlhammer","page":"295--309","citation":{"ieee":"A. Gövert, C. Niederhaus, and E. Blumberg, “Professionalisierung für Sprachbildung aus Sicht von Sachunterrichtsstudierenden – Langzeitwirkungen eines Vertiefungsseminars in der ersten Phase der sachunterrichtsdidaktischen Lehrer*innenbildung. ,” in <i>Mehrsprachigkeit in der Schule: Sprachbildung im und durch Sachunterricht</i>, E. Blumberg, N. Constanze, and M. Anne, Eds. Stuttgart: Kohlhammer, 2024, pp. 295--309.","apa":"Gövert, A., Niederhaus, C., &#38; Blumberg, E. (2024). Professionalisierung für Sprachbildung aus Sicht von Sachunterrichtsstudierenden – Langzeitwirkungen eines Vertiefungsseminars in der ersten Phase der sachunterrichtsdidaktischen Lehrer*innenbildung. . In E. Blumberg, N. Constanze, &#38; M. Anne (Eds.), <i>Mehrsprachigkeit in der Schule: Sprachbildung im und durch Sachunterricht</i> (pp. 295--309). Kohlhammer.","short":"A. Gövert, C. Niederhaus, E. Blumberg, in: E. Blumberg, N. Constanze, M. Anne (Eds.), Mehrsprachigkeit in Der Schule: Sprachbildung Im Und Durch Sachunterricht, Kohlhammer, Stuttgart, 2024, pp. 295--309.","chicago":"Gövert, Andre, Constanze Niederhaus, and Eva Blumberg. “Professionalisierung Für Sprachbildung Aus Sicht von Sachunterrichtsstudierenden – Langzeitwirkungen Eines Vertiefungsseminars in Der Ersten Phase Der Sachunterrichtsdidaktischen Lehrer*innenbildung. .” In <i>Mehrsprachigkeit in Der Schule: Sprachbildung Im Und Durch Sachunterricht</i>, edited by Eva Blumberg, Niederhaus Constanze, and Mischendahl Anne, 295--309. Stuttgart: Kohlhammer, 2024.","mla":"Gövert, Andre, et al. “Professionalisierung Für Sprachbildung Aus Sicht von Sachunterrichtsstudierenden – Langzeitwirkungen Eines Vertiefungsseminars in Der Ersten Phase Der Sachunterrichtsdidaktischen Lehrer*innenbildung. .” <i>Mehrsprachigkeit in Der Schule: Sprachbildung Im Und Durch Sachunterricht</i>, edited by Eva Blumberg et al., Kohlhammer, 2024, pp. 295--309.","bibtex":"@inbook{Gövert_Niederhaus_Blumberg_2024, place={Stuttgart}, title={Professionalisierung für Sprachbildung aus Sicht von Sachunterrichtsstudierenden – Langzeitwirkungen eines Vertiefungsseminars in der ersten Phase der sachunterrichtsdidaktischen Lehrer*innenbildung. }, booktitle={Mehrsprachigkeit in der Schule: Sprachbildung im und durch Sachunterricht}, publisher={Kohlhammer}, author={Gövert, Andre and Niederhaus, Constanze and Blumberg, Eva}, editor={Blumberg, Eva and Constanze, Niederhaus and Anne, Mischendahl}, year={2024}, pages={295--309} }","ama":"Gövert A, Niederhaus C, Blumberg E. Professionalisierung für Sprachbildung aus Sicht von Sachunterrichtsstudierenden – Langzeitwirkungen eines Vertiefungsseminars in der ersten Phase der sachunterrichtsdidaktischen Lehrer*innenbildung. . In: Blumberg E, Constanze N, Anne M, eds. <i>Mehrsprachigkeit in Der Schule: Sprachbildung Im Und Durch Sachunterricht</i>. Kohlhammer; 2024:295--309."},"publication":"Mehrsprachigkeit in der Schule: Sprachbildung im und durch Sachunterricht","type":"book_chapter","date_created":"2026-05-19T11:46:42Z","place":"Stuttgart"},{"type":"journal_editor","date_created":"2026-05-19T15:35:48Z","citation":{"ama":"Drumm S, Niederhaus C, eds. <i>(Mehr-)Sprachen-Bildung in Beruflichen Kontexten</i>. Vol 29.; 2024.","bibtex":"@book{Drumm_Niederhaus_2024, title={(Mehr-)Sprachen-Bildung in beruflichen Kontexten}, volume={29}, journal={ Zeitschrift für Interkulturellen Fremdsprachenunterricht (ZIF) }, year={2024} }","mla":"Drumm, Sandra, and Constanze Niederhaus, editors. “(Mehr-)Sprachen-Bildung in Beruflichen Kontexten.” <i> Zeitschrift Für Interkulturellen Fremdsprachenunterricht (ZIF) </i>, vol. 29, 2024.","short":"S. Drumm, C. Niederhaus, eds., (Mehr-)Sprachen-Bildung in Beruflichen Kontexten, 2024.","chicago":"Drumm, Sandra, and Constanze Niederhaus, eds. <i>(Mehr-)Sprachen-Bildung in Beruflichen Kontexten</i>. <i> Zeitschrift Für Interkulturellen Fremdsprachenunterricht (ZIF) </i>. Vol. 29, 2024.","apa":"(Mehr-)Sprachen-Bildung in beruflichen Kontexten. (2024). In S. Drumm &#38; C. Niederhaus (Eds.), <i> Zeitschrift für Interkulturellen Fremdsprachenunterricht (ZIF) </i> (Vol. 29).","ieee":"S. Drumm and C. Niederhaus, Eds., <i>(Mehr-)Sprachen-Bildung in beruflichen Kontexten</i>, vol. 29. 2024."},"publication":" Zeitschrift für Interkulturellen Fremdsprachenunterricht (ZIF) ","editor":[{"last_name":"Drumm","first_name":"Sandra","full_name":"Drumm, Sandra"},{"full_name":"Niederhaus, Constanze","first_name":"Constanze","last_name":"Niederhaus","id":"54999"}],"volume":29,"user_id":"54999","language":[{"iso":"eng"}],"_id":"65649","intvolume":"        29","date_updated":"2026-05-19T15:36:17Z","year":"2024","status":"public","title":"(Mehr-)Sprachen-Bildung in beruflichen Kontexten"},{"_id":"65648","publisher":"LibreCat University","user_id":"54999","doi":"10.48694/ZIF.3900","author":[{"last_name":"Drumm","first_name":"Sandra","full_name":"Drumm, Sandra"},{"id":"54999","last_name":"Niederhaus","first_name":"Constanze","full_name":"Niederhaus, Constanze"}],"status":"public","year":"2024","title":"Mehrsprachigkeit in der beruflichen Bildung: Einleitung in das Themenheft","date_updated":"2026-05-19T15:37:33Z","date_created":"2026-05-19T15:29:38Z","type":"research_data","citation":{"chicago":"Drumm, Sandra, and Constanze Niederhaus. <i>Mehrsprachigkeit in Der Beruflichen Bildung: Einleitung in Das Themenheft</i>. LibreCat University, 2024. <a href=\"https://doi.org/10.48694/ZIF.3900\">https://doi.org/10.48694/ZIF.3900</a>.","short":"S. Drumm, C. Niederhaus, Mehrsprachigkeit in Der Beruflichen Bildung: Einleitung in Das Themenheft, LibreCat University, 2024.","ieee":"S. Drumm and C. Niederhaus, <i>Mehrsprachigkeit in der beruflichen Bildung: Einleitung in das Themenheft</i>. LibreCat University, 2024.","apa":"Drumm, S., &#38; Niederhaus, C. (2024). <i>Mehrsprachigkeit in der beruflichen Bildung: Einleitung in das Themenheft</i>. LibreCat University. <a href=\"https://doi.org/10.48694/ZIF.3900\">https://doi.org/10.48694/ZIF.3900</a>","bibtex":"@book{Drumm_Niederhaus_2024, title={Mehrsprachigkeit in der beruflichen Bildung: Einleitung in das Themenheft}, DOI={<a href=\"https://doi.org/10.48694/ZIF.3900\">10.48694/ZIF.3900</a>}, publisher={LibreCat University}, author={Drumm, Sandra and Niederhaus, Constanze}, year={2024} }","ama":"Drumm S, Niederhaus C. <i>Mehrsprachigkeit in Der Beruflichen Bildung: Einleitung in Das Themenheft</i>. LibreCat University; 2024. doi:<a href=\"https://doi.org/10.48694/ZIF.3900\">10.48694/ZIF.3900</a>","mla":"Drumm, Sandra, and Constanze Niederhaus. <i>Mehrsprachigkeit in Der Beruflichen Bildung: Einleitung in Das Themenheft</i>. LibreCat University, 2024, doi:<a href=\"https://doi.org/10.48694/ZIF.3900\">10.48694/ZIF.3900</a>."}},{"_id":"56671","language":[{"iso":"eng"}],"publisher":"IEEE","doi":"10.1109/icit58233.2024.10540811","user_id":"44169","status":"public","year":"2024","title":"Data Store Architectures: Balancing Functionality and Performance","author":[{"full_name":"Illian, Marvin","first_name":"Marvin","last_name":"Illian","orcid":"0009-0007-2992-8346","id":"44169"},{"full_name":"Zinda, Christopher","last_name":"Zinda","first_name":"Christopher"},{"full_name":"Schlangenotto, Darius","first_name":"Darius","last_name":"Schlangenotto"}],"date_updated":"2026-05-20T08:44:06Z","publication_status":"published","date_created":"2024-10-17T15:58:15Z","type":"conference","publication":"2024 IEEE International Conference on Industrial Technology (ICIT)","citation":{"ieee":"M. Illian, C. Zinda, and D. Schlangenotto, “Data Store Architectures: Balancing Functionality and Performance,” 2024, doi: <a href=\"https://doi.org/10.1109/icit58233.2024.10540811\">10.1109/icit58233.2024.10540811</a>.","apa":"Illian, M., Zinda, C., &#38; Schlangenotto, D. (2024). Data Store Architectures: Balancing Functionality and Performance. <i>2024 IEEE International Conference on Industrial Technology (ICIT)</i>. <a href=\"https://doi.org/10.1109/icit58233.2024.10540811\">https://doi.org/10.1109/icit58233.2024.10540811</a>","short":"M. Illian, C. Zinda, D. Schlangenotto, in: 2024 IEEE International Conference on Industrial Technology (ICIT), IEEE, 2024.","chicago":"Illian, Marvin, Christopher Zinda, and Darius Schlangenotto. “Data Store Architectures: Balancing Functionality and Performance.” In <i>2024 IEEE International Conference on Industrial Technology (ICIT)</i>. IEEE, 2024. <a href=\"https://doi.org/10.1109/icit58233.2024.10540811\">https://doi.org/10.1109/icit58233.2024.10540811</a>.","mla":"Illian, Marvin, et al. “Data Store Architectures: Balancing Functionality and Performance.” <i>2024 IEEE International Conference on Industrial Technology (ICIT)</i>, IEEE, 2024, doi:<a href=\"https://doi.org/10.1109/icit58233.2024.10540811\">10.1109/icit58233.2024.10540811</a>.","bibtex":"@inproceedings{Illian_Zinda_Schlangenotto_2024, title={Data Store Architectures: Balancing Functionality and Performance}, DOI={<a href=\"https://doi.org/10.1109/icit58233.2024.10540811\">10.1109/icit58233.2024.10540811</a>}, booktitle={2024 IEEE International Conference on Industrial Technology (ICIT)}, publisher={IEEE}, author={Illian, Marvin and Zinda, Christopher and Schlangenotto, Darius}, year={2024} }","ama":"Illian M, Zinda C, Schlangenotto D. Data Store Architectures: Balancing Functionality and Performance. In: <i>2024 IEEE International Conference on Industrial Technology (ICIT)</i>. IEEE; 2024. doi:<a href=\"https://doi.org/10.1109/icit58233.2024.10540811\">10.1109/icit58233.2024.10540811</a>"},"quality_controlled":"1"},{"place":"Stuttgart","date_created":"2024-07-11T08:25:33Z","type":"book","department":[{"_id":"19"}],"citation":{"ieee":"A. Uhde, S. Paul, A. Horsch, D. Kaltofen, and G. Weiß, <i>Bankpolitik</i>, 1st ed. Stuttgart: Schäffer-Poeschel, 2024.","apa":"Uhde, A., Paul, S., Horsch, A., Kaltofen, D., &#38; Weiß, G. (2024). <i>Bankpolitik</i> (1st ed.). Schäffer-Poeschel.","short":"A. Uhde, S. Paul, A. Horsch, D. Kaltofen, G. Weiß, Bankpolitik, 1st ed., Schäffer-Poeschel, Stuttgart, 2024.","chicago":"Uhde, André, Stephan Paul, Andreas Horsch, Daniel  Kaltofen, and Gregor Weiß. <i>Bankpolitik</i>. 1st ed. 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Schäffer-Poeschel; 2024."},"page":"776","edition":"1","_id":"55175","publisher":"Schäffer-Poeschel","language":[{"iso":"ger"}],"user_id":"36049","status":"public","year":"2024","title":"Bankpolitik","author":[{"id":"36049","full_name":"Uhde, André","first_name":"André","last_name":"Uhde"},{"last_name":"Paul","first_name":"Stephan","full_name":"Paul, Stephan"},{"first_name":"Andreas","last_name":"Horsch","full_name":"Horsch, Andreas"},{"full_name":"Kaltofen, Daniel ","last_name":"Kaltofen","first_name":"Daniel "},{"last_name":"Weiß","first_name":"Gregor","full_name":"Weiß, Gregor"}],"publication_identifier":{"isbn":["978-3-7910-4633-4"]},"date_updated":"2026-05-27T10:58:34Z","publication_status":"published"},{"date_created":"2024-08-05T09:37:10Z","type":"journal_article","publication":"Energy Reports","citation":{"bibtex":"@article{Rizos_Righetti_Kassab_2024, title={Understanding the barriers to recycling critical raw materials for the energy transition: The case of rare earth permanent magnets}, volume={12}, DOI={<a href=\"https://doi.org/10.1016/j.egyr.2024.07.022\">10.1016/j.egyr.2024.07.022</a>}, journal={Energy Reports}, publisher={Elsevier BV}, author={Rizos, Vasileios and Righetti, Edoardo and Kassab, Amin}, year={2024}, pages={1673–1682} }","ama":"Rizos V, Righetti E, Kassab A. Understanding the barriers to recycling critical raw materials for the energy transition: The case of rare earth permanent magnets. <i>Energy Reports</i>. 2024;12:1673-1682. doi:<a href=\"https://doi.org/10.1016/j.egyr.2024.07.022\">10.1016/j.egyr.2024.07.022</a>","mla":"Rizos, Vasileios, et al. “Understanding the Barriers to Recycling Critical Raw Materials for the Energy Transition: The Case of Rare Earth Permanent Magnets.” <i>Energy Reports</i>, vol. 12, Elsevier BV, 2024, pp. 1673–82, doi:<a href=\"https://doi.org/10.1016/j.egyr.2024.07.022\">10.1016/j.egyr.2024.07.022</a>.","short":"V. Rizos, E. Righetti, A. Kassab, Energy Reports 12 (2024) 1673–1682.","chicago":"Rizos, Vasileios, Edoardo Righetti, and Amin Kassab. “Understanding the Barriers to Recycling Critical Raw Materials for the Energy Transition: The Case of Rare Earth Permanent Magnets.” <i>Energy Reports</i> 12 (2024): 1673–82. <a href=\"https://doi.org/10.1016/j.egyr.2024.07.022\">https://doi.org/10.1016/j.egyr.2024.07.022</a>.","ieee":"V. Rizos, E. Righetti, and A. Kassab, “Understanding the barriers to recycling critical raw materials for the energy transition: The case of rare earth permanent magnets,” <i>Energy Reports</i>, vol. 12, pp. 1673–1682, 2024, doi: <a href=\"https://doi.org/10.1016/j.egyr.2024.07.022\">10.1016/j.egyr.2024.07.022</a>.","apa":"Rizos, V., Righetti, E., &#38; Kassab, A. (2024). Understanding the barriers to recycling critical raw materials for the energy transition: The case of rare earth permanent magnets. <i>Energy Reports</i>, <i>12</i>, 1673–1682. <a href=\"https://doi.org/10.1016/j.egyr.2024.07.022\">https://doi.org/10.1016/j.egyr.2024.07.022</a>"},"page":"1673-1682","language":[{"iso":"eng"}],"_id":"55517","publisher":"Elsevier BV","doi":"10.1016/j.egyr.2024.07.022","user_id":"98377","volume":12,"year":"2024","status":"public","title":"Understanding the barriers to recycling critical raw materials for the energy transition: The case of rare earth permanent magnets","publication_identifier":{"issn":["2352-4847"]},"author":[{"first_name":"Vasileios","last_name":"Rizos","full_name":"Rizos, Vasileios"},{"full_name":"Righetti, Edoardo","first_name":"Edoardo","last_name":"Righetti"},{"full_name":"Kassab, Amin","last_name":"Kassab","first_name":"Amin","id":"98377"}],"date_updated":"2026-05-28T11:11:17Z","publication_status":"published","intvolume":"        12"},{"abstract":[{"text":"This study aims to investigate student spatial reasoning, thinking, strategies, interests, and\r\nchallenges across four different countries in the context of collaborative group problem\r\nsolving. The researchers used a problem solving scenario with groups of students that involved\r\npainting the outside of a cube, which was composed of 216 cubes (6 × 6 × 6). the four\r\ncountries, findings were mostly consistent among the student collaborative groups with some\r\nvariation of problem solving strategies employed. One challenge encountered across the\r\nresearch sites was student understanding of what the problem was asking. Overall, students\r\nwere observed to be engaged and interested in this spatial reasoning problem solving scenario\r\nwith some students expressing interest in having to visualize the exterior and interior cubes for\r\nthe problem they were required to solve.","lang":"eng"}],"citation":{"bibtex":"@inproceedings{Stoppel_Arnal-Palacián_Catanuto_Czarnocha_Evans_Marciniak_Shvartsberg, title={Strategies, interests, and challenges in a spatial problem solving in different scenarios}, author={Stoppel, Hans-Jürgen and Arnal-Palacián, Monica and Catanuto, Roberto and Czarnocha, Bronislaw and Evans, Brian R. and Marciniak, Malgorzata Aneta and Shvartsberg, Yana} }","ama":"Stoppel H-J, Arnal-Palacián M, Catanuto R, et al. Strategies, interests, and challenges in a spatial problem solving in different scenarios.","mla":"Stoppel, Hans-Jürgen, et al. <i>Strategies, Interests, and Challenges in a Spatial Problem Solving in Different Scenarios</i>.","short":"H.-J. Stoppel, M. Arnal-Palacián, R. Catanuto, B. Czarnocha, B.R. Evans, M.A. Marciniak, Y. Shvartsberg, in: n.d.","chicago":"Stoppel, Hans-Jürgen, Monica Arnal-Palacián, Roberto Catanuto, Bronislaw Czarnocha, Brian R. Evans, Malgorzata Aneta Marciniak, and Yana Shvartsberg. “Strategies, Interests, and Challenges in a Spatial Problem Solving in Different Scenarios,” n.d.","ieee":"H.-J. Stoppel <i>et al.</i>, “Strategies, interests, and challenges in a spatial problem solving in different scenarios,” presented at the 15th International Congress on Mathematical Education, Sydney, Australia.","apa":"Stoppel, H.-J., Arnal-Palacián, M., Catanuto, R., Czarnocha, B., Evans, B. R., Marciniak, M. A., &#38; Shvartsberg, Y. (n.d.). <i>Strategies, interests, and challenges in a spatial problem solving in different scenarios</i>. 15th International Congress on Mathematical Education, Sydney, Australia."},"type":"conference","date_created":"2026-05-29T07:55:29Z","date_updated":"2026-05-29T08:16:50Z","publication_status":"accepted","title":"Strategies, interests, and challenges in a spatial problem solving in different scenarios","status":"public","year":"2024","conference":{"start_date":"2024-07-07","name":"15th International Congress on Mathematical Education","location":"Sydney, Australia","end_date":"2024-07-14"},"author":[{"id":"101162","full_name":"Stoppel, Hans-Jürgen","first_name":"Hans-Jürgen","last_name":"Stoppel"},{"full_name":"Arnal-Palacián, Monica","first_name":"Monica","last_name":"Arnal-Palacián"},{"full_name":"Catanuto, Roberto","first_name":"Roberto","last_name":"Catanuto"},{"full_name":"Czarnocha, Bronislaw","last_name":"Czarnocha","first_name":"Bronislaw"},{"last_name":"Evans","first_name":"Brian R.","full_name":"Evans, Brian R."},{"full_name":"Marciniak, Malgorzata Aneta","first_name":"Malgorzata Aneta","last_name":"Marciniak"},{"full_name":"Shvartsberg, Yana","last_name":"Shvartsberg","first_name":"Yana"}],"user_id":"101162","_id":"65723","language":[{"iso":"eng"}]},{"date_updated":"2026-05-29T08:22:47Z","publication_status":"published","conference":{"name":"57. Jahrestagung der Gesellschaft für Didaktik der Mathematik","start_date":"2024-03-04","location":"Essen","end_date":"2024-03-08"},"author":[{"id":"101162","full_name":"Stoppel, Hans-Jürgen","first_name":"Hans-Jürgen","last_name":"Stoppel"}],"publication_identifier":{"unknown":["978-3-95987-278-2"]},"title":"MINT-Unterricht – undenkbar für Lehrkräfte ohne mathematisches Hintergrundwissen","year":"2024","status":"public","editor":[{"full_name":"Ebers, Patrick","first_name":"Patrick","last_name":"Ebers"},{"last_name":"Rösken","first_name":"Fabian","full_name":"Rösken, Fabian"},{"last_name":"Barzel","first_name":"Bärbel","full_name":"Barzel, Bärbel"},{"first_name":"Andreas","last_name":"Büchter","full_name":"Büchter, Andreas"},{"first_name":"Florian","last_name":"Schacht","full_name":"Schacht, Florian"},{"full_name":"Scherer, Petra","last_name":"Scherer","first_name":"Petra"}],"user_id":"101162","language":[{"iso":"ger"}],"_id":"65720","publisher":"Verlag für wissenschaftliche Texte und Medien","citation":{"apa":"Stoppel, H.-J. (2024). <i>MINT-Unterricht – undenkbar für Lehrkräfte ohne mathematisches Hintergrundwissen</i> (P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, &#38; P. Scherer, Eds.). Verlag für wissenschaftliche Texte und Medien.","ieee":"H.-J. Stoppel, “MINT-Unterricht – undenkbar für Lehrkräfte ohne mathematisches Hintergrundwissen,” Essen, 2024.","chicago":"Stoppel, Hans-Jürgen. “MINT-Unterricht – undenkbar für Lehrkräfte ohne mathematisches Hintergrundwissen.” edited by Patrick Ebers, Fabian Rösken, Bärbel Barzel, Andreas Büchter, Florian Schacht, and Petra Scherer. Münster: Verlag für wissenschaftliche Texte und Medien, 2024.","short":"H.-J. Stoppel, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, P. Scherer (Eds.), Verlag für wissenschaftliche Texte und Medien, Münster, 2024.","mla":"Stoppel, Hans-Jürgen. <i>MINT-Unterricht – undenkbar für Lehrkräfte ohne mathematisches Hintergrundwissen</i>. Edited by Patrick Ebers et al., Verlag für wissenschaftliche Texte und Medien, 2024.","ama":"Stoppel H-J. MINT-Unterricht – undenkbar für Lehrkräfte ohne mathematisches Hintergrundwissen. In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. Verlag für wissenschaftliche Texte und Medien; 2024.","bibtex":"@inproceedings{Stoppel_2024, place={Münster}, title={MINT-Unterricht – undenkbar für Lehrkräfte ohne mathematisches Hintergrundwissen}, publisher={Verlag für wissenschaftliche Texte und Medien}, author={Stoppel, Hans-Jürgen}, editor={Ebers, Patrick and Rösken, Fabian and Barzel, Bärbel and Büchter, Andreas and Schacht, Florian and Scherer, Petra}, year={2024} }"},"type":"conference","place":"Münster","date_created":"2026-05-29T07:16:44Z"},{"citation":{"chicago":"Kamdem Teyou, Louis Mozart, Caglar Demir, and Axel-Cyrille Ngonga Ngomo. “Embedding Knowledge Graphs in Degenerate Clifford Algebras.” In <i>Frontiers in Artificial Intelligence and Applications</i>. IOS Press, 2024. <a href=\"https://doi.org/10.3233/faia240627\">https://doi.org/10.3233/faia240627</a>.","short":"L.M. Kamdem Teyou, C. Demir, A.-C. Ngonga Ngomo, in: Frontiers in Artificial Intelligence and Applications, IOS Press, 2024.","ieee":"L. M. Kamdem Teyou, C. Demir, and A.-C. Ngonga Ngomo, “Embedding Knowledge Graphs in Degenerate Clifford Algebras,” in <i>Frontiers in Artificial Intelligence and Applications</i>, IOS Press, 2024.","apa":"Kamdem Teyou, L. M., Demir, C., &#38; Ngonga Ngomo, A.-C. (2024). Embedding Knowledge Graphs in Degenerate Clifford Algebras. In <i>Frontiers in Artificial Intelligence and Applications</i>. 27TH EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE, Santiago de Compostela. IOS Press. <a href=\"https://doi.org/10.3233/faia240627\">https://doi.org/10.3233/faia240627</a>","bibtex":"@inbook{Kamdem Teyou_Demir_Ngonga Ngomo_2024, title={Embedding Knowledge Graphs in Degenerate Clifford Algebras}, DOI={<a href=\"https://doi.org/10.3233/faia240627\">10.3233/faia240627</a>}, booktitle={Frontiers in Artificial Intelligence and Applications}, publisher={IOS Press}, author={Kamdem Teyou, Louis Mozart and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}, year={2024} }","ama":"Kamdem Teyou LM, Demir C, Ngonga Ngomo A-C. Embedding Knowledge Graphs in Degenerate Clifford Algebras. In: <i>Frontiers in Artificial Intelligence and Applications</i>. IOS Press; 2024. doi:<a href=\"https://doi.org/10.3233/faia240627\">10.3233/faia240627</a>","mla":"Kamdem Teyou, Louis Mozart, et al. “Embedding Knowledge Graphs in Degenerate Clifford Algebras.” <i>Frontiers in Artificial Intelligence and Applications</i>, IOS Press, 2024, doi:<a href=\"https://doi.org/10.3233/faia240627\">10.3233/faia240627</a>."},"popular_science":"1","quality_controlled":"1","conference":{"location":"Santiago de Compostela","name":"27TH EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE","start_date":"2024-10-19","end_date":"2024-10-24"},"status":"public","publisher":"IOS Press","_id":"62702","user_id":"101165","publication":"Frontiers in Artificial Intelligence and Applications","abstract":[{"lang":"eng","text":"<jats:p>Clifford algebras are a natural extension of division algebras, including real numbers, complex numbers, quaternions, and octonions. Previous research in knowledge graph embeddings has focused exclusively on Clifford algebras of a specific type, which do not include nilpotent base vectors—elements that square to zero. In this work, we introduce a novel approach by incorporating nilpotent base vectors with a nilpotency index of two, leading to a more general form of Clifford algebras named degenerate Clifford algebras. This generalization to degenerate Clifford algebras does allow for covering dual numbers and as such include translations and rotations models under the same generalization paradigm for the first time. We develop two models to determine the parameters that define the algebra: one using a greedy search and another predicting the parameters based on neural network embeddings of the input knowledge graph. Our evaluation on seven benchmark datasets demonstrates that this incorporation of nilpotent vectors enhances the quality of embeddings. Additionally, our method outperforms state-of-the-art approaches in terms of generalization, particularly regarding the mean reciprocal rank achieved on validation data. Finally, we show that even a simple greedy search can effectively discover optimal or near-optimal parameters for the algebra.</jats:p>"}],"date_created":"2025-11-28T14:32:43Z","department":[{"_id":"34"},{"_id":"574"}],"type":"book_chapter","author":[{"last_name":"Kamdem Teyou","first_name":"Louis Mozart","full_name":"Kamdem Teyou, Louis Mozart","id":"101165"},{"id":"43817","full_name":"Demir, Caglar","first_name":"Caglar","last_name":"Demir"},{"full_name":"Ngonga Ngomo, Axel-Cyrille","first_name":"Axel-Cyrille","last_name":"Ngonga Ngomo","id":"65716"}],"publication_identifier":{"issn":["0922-6389","1879-8314"],"isbn":["9781643685489"]},"year":"2024","title":"Embedding Knowledge Graphs in Degenerate Clifford Algebras","date_updated":"2026-05-29T14:34:11Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.3233/faia240627"},{"abstract":[{"lang":"eng","text":"We introduce a novel embedding method diverging from conventional approaches by operating within function spaces of finite dimension rather than finite vector space, thus departing significantly from standard knowledge graph embedding techniques. Initially employing polynomial functions to compute embeddings, we progress to more intricate representations using neural networks with varying layer complexities. We argue that employing functions for embedding computation enhances expressiveness and allows for more degrees of freedom, enabling operations such as composition, derivatives and primitive of entities representation. Additionally, we meticulously outline the step-by-step construction of our approach and provide code for reproducibility, thereby facilitating further exploration and application in the field."}],"citation":{"ama":"Kamdem Teyou LM, Demir C, Ngonga Ngomo A-C. Embedding Knowledge Graphs in Function Spaces. In: <i>Proceedings of the 33rd ACM International Conference on Information and Knowledge Management</i>. ACM; 2024. doi:<a href=\"https://doi.org/10.1145/3627673.3679819\">10.1145/3627673.3679819</a>","bibtex":"@inproceedings{Kamdem Teyou_Demir_Ngonga Ngomo_2024, place={Boise}, title={Embedding Knowledge Graphs in Function Spaces}, DOI={<a href=\"https://doi.org/10.1145/3627673.3679819\">10.1145/3627673.3679819</a>}, booktitle={Proceedings of the 33rd ACM International Conference on Information and Knowledge Management}, publisher={ACM}, author={Kamdem Teyou, Louis Mozart and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}, year={2024} }","mla":"Kamdem Teyou, Louis Mozart, et al. “Embedding Knowledge Graphs in Function Spaces.” <i>Proceedings of the 33rd ACM International Conference on Information and Knowledge Management</i>, ACM, 2024, doi:<a href=\"https://doi.org/10.1145/3627673.3679819\">10.1145/3627673.3679819</a>.","chicago":"Kamdem Teyou, Louis Mozart, Caglar Demir, and Axel-Cyrille Ngonga Ngomo. “Embedding Knowledge Graphs in Function Spaces.” In <i>Proceedings of the 33rd ACM International Conference on Information and Knowledge Management</i>. 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