[{"user_id":"71541","volume":297,"page":"1-19","language":[{"iso":"eng"}],"_id":"50406","publication_status":"published","date_updated":"2026-05-15T08:41:59Z","intvolume":"       297","title":"BQP, meet NP: Search-to-decision reductions and approximate counting","status":"public","year":"2024","author":[{"id":"71541","last_name":"Gharibian","first_name":"Sevag","orcid":"0000-0002-9992-3379","full_name":"Gharibian, Sevag"},{"full_name":"Kamminga, Jonas","last_name":"Kamminga","first_name":"Jonas"}],"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":{"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.","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."}},{"citation":{"ieee":"F. Huber, K. Thompson, O. Parekh, and S. Gharibian, “Second order cone relaxations for quantum Max Cut,” <i>arXiv:2411.04120</i>. 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>.","short":"F. Huber, K. Thompson, O. Parekh, S. Gharibian, ArXiv:2411.04120 (2024).","chicago":"Huber, Felix, Kevin Thompson, Ojas Parekh, and Sevag Gharibian. “Second Order Cone Relaxations for Quantum Max Cut.” <i>ArXiv:2411.04120</i>, 2024.","mla":"Huber, Felix, et al. “Second Order Cone Relaxations for Quantum Max Cut.” <i>ArXiv:2411.04120</i>, 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} }","ama":"Huber F, Thompson K, Parekh O, Gharibian S. Second order cone relaxations for quantum Max Cut. <i>arXiv:241104120</i>. Published online 2024."},"publication":"arXiv:2411.04120","abstract":[{"lang":"eng","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."}],"date_created":"2024-11-07T12:09:37Z","external_id":{"arxiv":["2411.04120"]},"department":[{"_id":"7"},{"_id":"623"}],"type":"preprint","author":[{"last_name":"Huber","first_name":"Felix","full_name":"Huber, Felix"},{"full_name":"Thompson, Kevin","last_name":"Thompson","first_name":"Kevin"},{"full_name":"Parekh, Ojas","last_name":"Parekh","first_name":"Ojas"},{"full_name":"Gharibian, Sevag","first_name":"Sevag","last_name":"Gharibian","orcid":"0000-0002-9992-3379","id":"71541"}],"title":"Second order cone relaxations for quantum Max Cut","year":"2024","status":"public","date_updated":"2026-05-15T08:41:38Z","language":[{"iso":"eng"}],"_id":"56944","user_id":"71541"},{"citation":{"mla":"Gharibian, Sevag. “Guest Column: The 7 Faces of Quantum NP.” <i>ACM SIGACT News</i>, vol. 54, no. 4, 2024, pp. 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} }","ama":"Gharibian S. Guest Column: The 7 faces of quantum NP. <i>ACM SIGACT News</i>. 2024;54(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.","apa":"Gharibian, S. (2024). Guest Column: The 7 faces of quantum NP. <i>ACM SIGACT News</i>, <i>54</i>(4), 54–91.","short":"S. Gharibian, ACM SIGACT News 54 (2024) 54–91.","chicago":"Gharibian, Sevag. “Guest Column: The 7 Faces of Quantum NP.” <i>ACM SIGACT News</i> 54, no. 4 (2024): 54–91."},"oa":"1","status":"public","_id":"48544","page":"54-91","volume":54,"user_id":"71541","publication":"ACM SIGACT News","issue":"4","related_material":{"link":[{"url":"https://dl.acm.org/doi/abs/10.1145/3639528.3639535","relation":"confirmation"}]},"abstract":[{"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.","lang":"eng"}],"date_created":"2023-10-30T12:19:11Z","department":[{"_id":"7"},{"_id":"623"}],"type":"journal_article","author":[{"orcid":"0000-0002-9992-3379","last_name":"Gharibian","first_name":"Sevag","full_name":"Gharibian, Sevag","id":"71541"}],"title":"Guest Column: The 7 faces of quantum NP","year":"2024","article_type":"review","intvolume":"        54","publication_status":"published","date_updated":"2026-05-15T08:42:54Z","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/2310.18010","open_access":"1"}]},{"date_updated":"2026-05-19T11:46:49Z","author":[{"first_name":"Andre","last_name":"Gövert","full_name":"Gövert, Andre"},{"full_name":"Niederhaus, Constanze","last_name":"Niederhaus","first_name":"Constanze"},{"last_name":"Blumberg","first_name":"Eva","full_name":"Blumberg, Eva"}],"title":"Professionalisierung für Sprachbildung aus Sicht von Sachunterrichtsstudierenden – Langzeitwirkungen eines Vertiefungsseminars in der ersten Phase der sachunterrichtsdidaktischen Lehrer*innenbildung. ","status":"public","year":"2024","editor":[{"last_name":"Blumberg","first_name":"Eva","full_name":"Blumberg, Eva"},{"last_name":"Constanze","first_name":"Niederhaus","full_name":"Constanze, Niederhaus"},{"full_name":"Anne, Mischendahl","first_name":"Mischendahl","last_name":"Anne"}],"user_id":"54999","publisher":"Kohlhammer","_id":"65638","language":[{"iso":"eng"}],"page":"295--309","citation":{"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.","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.","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} }","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.","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.","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."},"publication":"Mehrsprachigkeit in der Schule: Sprachbildung im und durch Sachunterricht","type":"book_chapter","place":"Stuttgart","date_created":"2026-05-19T11:46:42Z"},{"type":"journal_editor","date_created":"2026-05-19T15:35:48Z","citation":{"bibtex":"@book{Drumm_Niederhaus_2024, title={(Mehr-)Sprachen-Bildung in beruflichen Kontexten}, volume={29}, journal={ Zeitschrift für Interkulturellen Fremdsprachenunterricht (ZIF) }, year={2024} }","ama":"Drumm S, Niederhaus C, eds. <i>(Mehr-)Sprachen-Bildung in Beruflichen Kontexten</i>. Vol 29.; 2024.","mla":"Drumm, Sandra, and Constanze Niederhaus, editors. “(Mehr-)Sprachen-Bildung in Beruflichen Kontexten.” <i> Zeitschrift Für Interkulturellen Fremdsprachenunterricht (ZIF) </i>, vol. 29, 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.","short":"S. Drumm, C. Niederhaus, eds., (Mehr-)Sprachen-Bildung in Beruflichen Kontexten, 2024.","ieee":"S. Drumm and C. Niederhaus, Eds., <i>(Mehr-)Sprachen-Bildung in beruflichen Kontexten</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)."},"publication":" Zeitschrift für Interkulturellen Fremdsprachenunterricht (ZIF) ","editor":[{"last_name":"Drumm","first_name":"Sandra","full_name":"Drumm, Sandra"},{"id":"54999","full_name":"Niederhaus, Constanze","last_name":"Niederhaus","first_name":"Constanze"}],"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"},{"citation":{"ama":"Drumm S, Niederhaus C. <i>Mehrsprachigkeit in Der Beruflichen Bildung: Einleitung in Das Themenheft</i>. 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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>","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>."},"date_created":"2024-08-05T09:37:10Z","type":"journal_article"},{"language":[{"iso":"eng"}],"_id":"65723","user_id":"101162","conference":{"name":"15th International Congress on Mathematical Education","start_date":"2024-07-07","location":"Sydney, Australia","end_date":"2024-07-14"},"author":[{"id":"101162","full_name":"Stoppel, Hans-Jürgen","last_name":"Stoppel","first_name":"Hans-Jürgen"},{"first_name":"Monica","last_name":"Arnal-Palacián","full_name":"Arnal-Palacián, Monica"},{"full_name":"Catanuto, Roberto","last_name":"Catanuto","first_name":"Roberto"},{"full_name":"Czarnocha, Bronislaw","last_name":"Czarnocha","first_name":"Bronislaw"},{"first_name":"Brian R.","last_name":"Evans","full_name":"Evans, Brian R."},{"first_name":"Malgorzata Aneta","last_name":"Marciniak","full_name":"Marciniak, Malgorzata Aneta"},{"first_name":"Yana","last_name":"Shvartsberg","full_name":"Shvartsberg, Yana"}],"status":"public","year":"2024","title":"Strategies, interests, and challenges in a spatial problem solving in different scenarios","date_updated":"2026-05-29T08:16:50Z","publication_status":"accepted","date_created":"2026-05-29T07:55:29Z","type":"conference","citation":{"mla":"Stoppel, Hans-Jürgen, et al. <i>Strategies, Interests, and Challenges in a Spatial Problem Solving in Different Scenarios</i>.","ama":"Stoppel H-J, Arnal-Palacián M, Catanuto R, et al. Strategies, interests, and challenges in a spatial problem solving in different scenarios.","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} }","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.","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.","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.","short":"H.-J. Stoppel, M. Arnal-Palacián, R. Catanuto, B. Czarnocha, B.R. Evans, M.A. Marciniak, Y. Shvartsberg, in: n.d."},"abstract":[{"lang":"eng","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."}]},{"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","date_updated":"2026-05-29T08:22:47Z","publication_status":"published","conference":{"start_date":"2024-03-04","name":"57. Jahrestagung der Gesellschaft für Didaktik der Mathematik","location":"Essen","end_date":"2024-03-08"},"author":[{"id":"101162","last_name":"Stoppel","first_name":"Hans-Jürgen","full_name":"Stoppel, Hans-Jürgen"}],"publication_identifier":{"unknown":["978-3-95987-278-2"]},"status":"public","title":"MINT-Unterricht – undenkbar für Lehrkräfte ohne mathematisches Hintergrundwissen","year":"2024","editor":[{"first_name":"Patrick","last_name":"Ebers","full_name":"Ebers, Patrick"},{"first_name":"Fabian","last_name":"Rösken","full_name":"Rösken, Fabian"},{"full_name":"Barzel, Bärbel","first_name":"Bärbel","last_name":"Barzel"},{"last_name":"Büchter","first_name":"Andreas","full_name":"Büchter, Andreas"},{"first_name":"Florian","last_name":"Schacht","full_name":"Schacht, Florian"},{"full_name":"Scherer, Petra","first_name":"Petra","last_name":"Scherer"}],"user_id":"101162","_id":"65720","publisher":"Verlag für wissenschaftliche Texte und Medien","language":[{"iso":"ger"}]},{"publication_status":"published","date_updated":"2026-05-29T14:34:11Z","title":"Embedding Knowledge Graphs in Degenerate Clifford Algebras","year":"2024","author":[{"id":"101165","full_name":"Kamdem Teyou, Louis Mozart","last_name":"Kamdem Teyou","first_name":"Louis Mozart"},{"id":"43817","last_name":"Demir","first_name":"Caglar","full_name":"Demir, Caglar"},{"full_name":"Ngonga Ngomo, Axel-Cyrille","first_name":"Axel-Cyrille","last_name":"Ngonga Ngomo","id":"65716"}],"publication_identifier":{"isbn":["9781643685489"],"issn":["0922-6389","1879-8314"]},"doi":"10.3233/faia240627","language":[{"iso":"eng"}],"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>"}],"publication":"Frontiers in Artificial Intelligence and Applications","type":"book_chapter","department":[{"_id":"34"},{"_id":"574"}],"date_created":"2025-11-28T14:32:43Z","status":"public","conference":{"end_date":"2024-10-24","name":"27TH EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE","start_date":"2024-10-19","location":"Santiago de Compostela"},"user_id":"101165","_id":"62702","publisher":"IOS Press","quality_controlled":"1","popular_science":"1","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>."}},{"publication":"Proceedings of the 33rd ACM International Conference on Information and Knowledge Management","citation":{"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>.","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} }","apa":"Kamdem Teyou, L. M., Demir, C., &#38; Ngonga Ngomo, A.-C. (2024). Embedding Knowledge Graphs in Function Spaces. <i>Proceedings of the 33rd ACM International Conference on Information and Knowledge Management</i>. 33rd ACM International Conference on Information and Knowledge Management, Boise. <a href=\"https://doi.org/10.1145/3627673.3679819\">https://doi.org/10.1145/3627673.3679819</a>","ieee":"L. M. Kamdem Teyou, C. Demir, and A.-C. Ngonga Ngomo, “Embedding Knowledge Graphs in Function Spaces,” presented at the 33rd ACM International Conference on Information and Knowledge Management, Boise, 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>. Boise: ACM, 2024. <a href=\"https://doi.org/10.1145/3627673.3679819\">https://doi.org/10.1145/3627673.3679819</a>.","short":"L.M. Kamdem Teyou, C. Demir, A.-C. Ngonga Ngomo, in: Proceedings of the 33rd ACM International Conference on Information and Knowledge Management, ACM, Boise, 2024."},"abstract":[{"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.","lang":"eng"}],"date_created":"2025-11-28T14:42:32Z","place":"Boise","type":"conference","department":[{"_id":"34"},{"_id":"574"}],"year":"2024","status":"public","title":"Embedding Knowledge Graphs in Function Spaces","author":[{"full_name":"Kamdem Teyou, Louis Mozart","last_name":"Kamdem Teyou","first_name":"Louis Mozart","id":"101165"},{"last_name":"Demir","first_name":"Caglar","full_name":"Demir, Caglar","id":"43817"},{"first_name":"Axel-Cyrille","last_name":"Ngonga Ngomo","full_name":"Ngonga Ngomo, Axel-Cyrille"}],"conference":{"start_date":"2024-10-21","name":"33rd ACM International Conference on Information and Knowledge Management","location":"Boise","end_date":"2024-10-25"},"publication_status":"published","date_updated":"2026-05-29T14:32:04Z","_id":"62703","language":[{"iso":"eng"}],"publisher":"ACM","user_id":"101165","doi":"10.1145/3627673.3679819"},{"volume":50,"user_id":"94512","language":[{"iso":"eng"}],"_id":"65760","main_file_link":[{"open_access":"1","url":"https://www.degruyterbrill.com/de/document/doi/10.1515/infodaf-2023-0075/html"}],"page":"650-663","intvolume":"        50","date_updated":"2026-06-03T07:09:08Z","author":[{"full_name":"Ballweg, Sandra","last_name":"Ballweg","first_name":"Sandra","id":"94512"}],"status":"public","title":"Vielfalt, Erweiterung und ein Hauch von Mehrsprachigkeit – Eine subjektive Perspektive auf Entwicklungen im Fach Deutsch als Fremd- und Zweitsprache im Spiegel der InfoDaF in den Jahren 2010-2020","year":"2024","department":[{"_id":"468"},{"_id":"5"}],"oa":"1","type":"journal_article","date_created":"2026-06-03T07:00:52Z","citation":{"short":"S. Ballweg, InfoDaF 50 (2024) 650–663.","chicago":"Ballweg, Sandra. “Vielfalt, Erweiterung Und Ein Hauch von Mehrsprachigkeit – Eine Subjektive Perspektive Auf Entwicklungen Im Fach Deutsch Als Fremd- Und Zweitsprache Im Spiegel Der InfoDaF in Den Jahren 2010-2020.” <i>InfoDaF</i> 50, no. 6 (2024): 650–63.","apa":"Ballweg, S. (2024). Vielfalt, Erweiterung und ein Hauch von Mehrsprachigkeit – Eine subjektive Perspektive auf Entwicklungen im Fach Deutsch als Fremd- und Zweitsprache im Spiegel der InfoDaF in den Jahren 2010-2020. <i>InfoDaF</i>, <i>50</i>(6), 650–663.","ieee":"S. Ballweg, “Vielfalt, Erweiterung und ein Hauch von Mehrsprachigkeit – Eine subjektive Perspektive auf Entwicklungen im Fach Deutsch als Fremd- und Zweitsprache im Spiegel der InfoDaF in den Jahren 2010-2020,” <i>InfoDaF</i>, vol. 50, no. 6, pp. 650–663, 2024.","ama":"Ballweg S. Vielfalt, Erweiterung und ein Hauch von Mehrsprachigkeit – Eine subjektive Perspektive auf Entwicklungen im Fach Deutsch als Fremd- und Zweitsprache im Spiegel der InfoDaF in den Jahren 2010-2020. <i>InfoDaF</i>. 2024;50(6):650-663.","bibtex":"@article{Ballweg_2024, title={Vielfalt, Erweiterung und ein Hauch von Mehrsprachigkeit – Eine subjektive Perspektive auf Entwicklungen im Fach Deutsch als Fremd- und Zweitsprache im Spiegel der InfoDaF in den Jahren 2010-2020}, volume={50}, number={6}, journal={InfoDaF}, author={Ballweg, Sandra}, year={2024}, pages={650–663} }","mla":"Ballweg, Sandra. “Vielfalt, Erweiterung Und Ein Hauch von Mehrsprachigkeit – Eine Subjektive Perspektive Auf Entwicklungen Im Fach Deutsch Als Fremd- Und Zweitsprache Im Spiegel Der InfoDaF in Den Jahren 2010-2020.” <i>InfoDaF</i>, vol. 50, no. 6, 2024, pp. 650–63."},"publication":"InfoDaF","issue":"6"},{"type":"conference","department":[{"_id":"233"}],"place":"Porto, Porugal","date_created":"2024-05-13T14:56:18Z","project":[{"name":"KreativInstitut.OWL","_id":"1048"}],"publication":"Proceedings of the Sound and Music Computing Conference (SMC) 2024","citation":{"short":"A. Berndt, D.A. Mauro, in: Proceedings of the Sound and Music Computing Conference (SMC) 2024, Sound and Music Computing Network / Universidade do Porto, Porto, Porugal, 2024.","chicago":"Berndt, Axel, and Davide Andrea Mauro. “Arpeggiatorum: An Audio Controllable MIDI Arpeggiator.” In <i>Proceedings of the Sound and Music Computing Conference (SMC) 2024</i>. Porto, Porugal: Sound and Music Computing Network / Universidade do Porto, 2024.","apa":"Berndt, A., &#38; Mauro, D. A. (2024). Arpeggiatorum: An audio controllable MIDI arpeggiator. <i>Proceedings of the Sound and Music Computing Conference (SMC) 2024</i>.","ieee":"A. Berndt and D. A. Mauro, “Arpeggiatorum: An audio controllable MIDI arpeggiator,” 2024.","ama":"Berndt A, Mauro DA. Arpeggiatorum: An audio controllable MIDI arpeggiator. In: <i>Proceedings of the Sound and Music Computing Conference (SMC) 2024</i>. Sound and Music Computing Network / Universidade do Porto; 2024.","bibtex":"@inproceedings{Berndt_Mauro_2024, place={Porto, Porugal}, title={Arpeggiatorum: An audio controllable MIDI arpeggiator}, booktitle={Proceedings of the Sound and Music Computing Conference (SMC) 2024}, publisher={Sound and Music Computing Network / Universidade do Porto}, author={Berndt, Axel and Mauro, Davide Andrea}, year={2024} }","mla":"Berndt, Axel, and Davide Andrea Mauro. “Arpeggiatorum: An Audio Controllable MIDI Arpeggiator.” <i>Proceedings of the Sound and Music Computing Conference (SMC) 2024</i>, Sound and Music Computing Network / Universidade do Porto, 2024."},"user_id":"55565","language":[{"iso":"eng"}],"_id":"54247","publisher":"Sound and Music Computing Network / Universidade do Porto","date_updated":"2026-06-03T13:00:21Z","status":"public","title":"Arpeggiatorum: An audio controllable MIDI arpeggiator","year":"2024","author":[{"id":"55565","full_name":"Berndt, Axel","first_name":"Axel","last_name":"Berndt"},{"id":"104047","last_name":"Mauro","first_name":"Davide Andrea","orcid":"0000-0001-8437-4517","full_name":"Mauro, Davide Andrea"}]},{"project":[{"name":"Digitale Interpretationsedition: Prototypischer Forschungsprozess und Modelledition","_id":"1614"}],"citation":{"short":"A. Berndt, F. Bömcke-Vollmer, A. Münzmay, in: {Diskografentag: International Conference on Recorded Music}, Guildford, Surrey, England, 2024.","chicago":"Berndt, Axel, Frithjof Bömcke-Vollmer, and Andreas Münzmay. “Multi-Modal Data Networks in Music: Thoughts on a Digital Performance Edition and Its Potential for Ethnomusicology.” In <i>{Diskografentag: International Conference on Recorded Music}</i>. Guildford, Surrey, England, 2024.","ieee":"A. Berndt, F. Bömcke-Vollmer, and A. Münzmay, “Multi-Modal Data Networks in Music: Thoughts on a Digital Performance Edition and its Potential for Ethnomusicology,” 2024.","apa":"Berndt, A., Bömcke-Vollmer, F., &#38; Münzmay, A. (2024). 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