[{"date_created":"2026-07-03T21:20:17Z","type":"journal_article","publication":"Machine Learning","issue":"6","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The predictive performance of a machine learning model highly depends on the corresponding hyper-parameter setting. Hence, hyper-parameter tuning is often indispensable. Normally such tuning requires the dedicated machine learning model to be trained and evaluated on centralized data to obtain a performance estimate. However, in a distributed machine learning scenario, it is not always possible to collect all the data from all nodes due to privacy concerns or storage limitations. Moreover, if data has to be transferred through low bandwidth connections it reduces the time available for tuning. Model-Based Optimization (MBO) is one state-of-the-art method for tuning hyper-parameters but the application on distributed machine learning models or federated learning lacks research. This work proposes a framework<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\textit{MODES}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>MODES</mml:mi></mml:math></jats:alternatives></jats:inline-formula>that allows to deploy MBO on resource-constrained distributed embedded systems. Each node trains an individual model based on its local data. The goal is to optimize the combined prediction accuracy. The presented framework offers two optimization modes: (1)<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\textit{MODES}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>MODES</mml:mi></mml:math></jats:alternatives></jats:inline-formula>-B considers the whole ensemble as a single black box and optimizes the hyper-parameters of each individual model jointly, and (2)<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\textit{MODES}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>MODES</mml:mi></mml:math></jats:alternatives></jats:inline-formula>-I considers all models as clones of the same black box which allows it to efficiently parallelize the optimization in a distributed setting. We evaluate<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\textit{MODES}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>MODES</mml:mi></mml:math></jats:alternatives></jats:inline-formula>by conducting experiments on the optimization for the hyper-parameters of a random forest and a multi-layer perceptron. The experimental results demonstrate that, with an improvement in terms of mean accuracy (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\textit{MODES}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>MODES</mml:mi></mml:math></jats:alternatives></jats:inline-formula>-B), run-time efficiency (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\textit{MODES}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>MODES</mml:mi></mml:math></jats:alternatives></jats:inline-formula>-I), and statistical stability for both modes,<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\textit{MODES}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>MODES</mml:mi></mml:math></jats:alternatives></jats:inline-formula>outperforms the baseline, i.e., carry out tuning with MBO on each node individually with its local sub-data set.</jats:p>","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"10.1007/s10994-021-06014-6","author":[{"last_name":"Shi","first_name":"Junjie","full_name":"Shi, Junjie"},{"full_name":"Bian, Jiang","last_name":"Bian","first_name":"Jiang"},{"first_name":"Jakob","last_name":"Richter","full_name":"Richter, Jakob"},{"first_name":"Kuan-Hsun","last_name":"Chen","full_name":"Chen, Kuan-Hsun"},{"first_name":"Jörg","last_name":"Rahnenführer","full_name":"Rahnenführer, Jörg"},{"first_name":"Haoyi","last_name":"Xiong","full_name":"Xiong, Haoyi"},{"full_name":"Chen, Jian-Jia","first_name":"Jian-Jia","last_name":"Chen"}],"publication_identifier":{"issn":["0885-6125","1573-0565"]},"title":"MODES: model-based optimization on distributed embedded systems","year":"2021","intvolume":"       110","publication_status":"published","date_updated":"2026-07-05T14:46:07Z","citation":{"mla":"Shi, Junjie, et al. “MODES: Model-Based Optimization on Distributed Embedded Systems.” <i>Machine Learning</i>, vol. 110, no. 6, Springer Science and Business Media LLC, 2021, pp. 1527–47, doi:<a href=\"https://doi.org/10.1007/s10994-021-06014-6\">10.1007/s10994-021-06014-6</a>.","ama":"Shi J, Bian J, Richter J, et al. MODES: model-based optimization on distributed embedded systems. <i>Machine Learning</i>. 2021;110(6):1527-1547. doi:<a href=\"https://doi.org/10.1007/s10994-021-06014-6\">10.1007/s10994-021-06014-6</a>","bibtex":"@article{Shi_Bian_Richter_Chen_Rahnenführer_Xiong_Chen_2021, title={MODES: model-based optimization on distributed embedded systems}, volume={110}, DOI={<a href=\"https://doi.org/10.1007/s10994-021-06014-6\">10.1007/s10994-021-06014-6</a>}, number={6}, journal={Machine Learning}, publisher={Springer Science and Business Media LLC}, author={Shi, Junjie and Bian, Jiang and Richter, Jakob and Chen, Kuan-Hsun and Rahnenführer, Jörg and Xiong, Haoyi and Chen, Jian-Jia}, year={2021}, pages={1527–1547} }","apa":"Shi, J., Bian, J., Richter, J., Chen, K.-H., Rahnenführer, J., Xiong, H., &#38; Chen, J.-J. (2021). MODES: model-based optimization on distributed embedded systems. <i>Machine Learning</i>, <i>110</i>(6), 1527–1547. <a href=\"https://doi.org/10.1007/s10994-021-06014-6\">https://doi.org/10.1007/s10994-021-06014-6</a>","ieee":"J. Shi <i>et al.</i>, “MODES: model-based optimization on distributed embedded systems,” <i>Machine Learning</i>, vol. 110, no. 6, pp. 1527–1547, 2021, doi: <a href=\"https://doi.org/10.1007/s10994-021-06014-6\">10.1007/s10994-021-06014-6</a>.","short":"J. Shi, J. Bian, J. Richter, K.-H. Chen, J. Rahnenführer, H. Xiong, J.-J. Chen, Machine Learning 110 (2021) 1527–1547.","chicago":"Shi, Junjie, Jiang Bian, Jakob Richter, Kuan-Hsun Chen, Jörg Rahnenführer, Haoyi Xiong, and Jian-Jia Chen. “MODES: Model-Based Optimization on Distributed Embedded Systems.” <i>Machine Learning</i> 110, no. 6 (2021): 1527–47. <a href=\"https://doi.org/10.1007/s10994-021-06014-6\">https://doi.org/10.1007/s10994-021-06014-6</a>."},"_id":"66216","publisher":"Springer Science and Business Media LLC","page":"1527-1547","volume":110,"user_id":"128464","status":"public"},{"citation":{"short":"M. Yayla, S. Buschjager, A. Gupta, J.-J. Chen, J. Henkel, K. Morik, K.-H. Chen, H. Amrouch, IEEE Transactions on Computers 71 (2021) 1681–1695.","chicago":"Yayla, Mikail, Sebastian Buschjager, Aniket Gupta, Jian-Jia Chen, Jorg Henkel, Katharina Morik, Kuan-Hsun Chen, and Hussam Amrouch. “FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors.” <i>IEEE Transactions on Computers</i> 71, no. 7 (2021): 1681–95. <a href=\"https://doi.org/10.1109/tc.2021.3104736\">https://doi.org/10.1109/tc.2021.3104736</a>.","ieee":"M. Yayla <i>et al.</i>, “FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors,” <i>IEEE Transactions on Computers</i>, vol. 71, no. 7, pp. 1681–1695, 2021, doi: <a href=\"https://doi.org/10.1109/tc.2021.3104736\">10.1109/tc.2021.3104736</a>.","apa":"Yayla, M., Buschjager, S., Gupta, A., Chen, J.-J., Henkel, J., Morik, K., Chen, K.-H., &#38; Amrouch, H. (2021). FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors. <i>IEEE Transactions on Computers</i>, <i>71</i>(7), 1681–1695. <a href=\"https://doi.org/10.1109/tc.2021.3104736\">https://doi.org/10.1109/tc.2021.3104736</a>","bibtex":"@article{Yayla_Buschjager_Gupta_Chen_Henkel_Morik_Chen_Amrouch_2021, title={FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors}, volume={71}, DOI={<a href=\"https://doi.org/10.1109/tc.2021.3104736\">10.1109/tc.2021.3104736</a>}, number={7}, journal={IEEE Transactions on Computers}, publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Yayla, Mikail and Buschjager, Sebastian and Gupta, Aniket and Chen, Jian-Jia and Henkel, Jorg and Morik, Katharina and Chen, Kuan-Hsun and Amrouch, Hussam}, year={2021}, pages={1681–1695} }","ama":"Yayla M, Buschjager S, Gupta A, et al. FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors. <i>IEEE Transactions on Computers</i>. 2021;71(7):1681-1695. doi:<a href=\"https://doi.org/10.1109/tc.2021.3104736\">10.1109/tc.2021.3104736</a>","mla":"Yayla, Mikail, et al. “FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors.” <i>IEEE Transactions on Computers</i>, vol. 71, no. 7, Institute of Electrical and Electronics Engineers (IEEE), 2021, pp. 1681–95, doi:<a href=\"https://doi.org/10.1109/tc.2021.3104736\">10.1109/tc.2021.3104736</a>."},"publication":"IEEE Transactions on Computers","issue":"7","type":"journal_article","date_created":"2026-07-03T21:17:54Z","intvolume":"        71","date_updated":"2026-07-05T14:46:19Z","publication_status":"published","publication_identifier":{"issn":["0018-9340","1557-9956","2326-3814"]},"author":[{"full_name":"Yayla, Mikail","first_name":"Mikail","last_name":"Yayla"},{"first_name":"Sebastian","last_name":"Buschjager","full_name":"Buschjager, Sebastian"},{"last_name":"Gupta","first_name":"Aniket","full_name":"Gupta, Aniket"},{"full_name":"Chen, Jian-Jia","last_name":"Chen","first_name":"Jian-Jia"},{"full_name":"Henkel, Jorg","last_name":"Henkel","first_name":"Jorg"},{"last_name":"Morik","first_name":"Katharina","full_name":"Morik, Katharina"},{"first_name":"Kuan-Hsun","last_name":"Chen","full_name":"Chen, Kuan-Hsun"},{"last_name":"Amrouch","first_name":"Hussam","full_name":"Amrouch, Hussam"}],"status":"public","title":"FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors","year":"2021","volume":71,"doi":"10.1109/tc.2021.3104736","user_id":"128464","_id":"66204","publisher":"Institute of Electrical and Electronics Engineers (IEEE)","page":"1681-1695"},{"type":"journal_article","date_created":"2026-07-03T21:17:12Z","citation":{"ama":"Yayla M, Buschjager S, Gupta A, et al. FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors. <i>IEEE Transactions on Computers</i>. 2021;71(7):1681-1695. doi:<a href=\"https://doi.org/10.1109/tc.2021.3104736\">10.1109/tc.2021.3104736</a>","bibtex":"@article{Yayla_Buschjager_Gupta_Chen_Henkel_Morik_Chen_Amrouch_2021, title={FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors}, volume={71}, DOI={<a href=\"https://doi.org/10.1109/tc.2021.3104736\">10.1109/tc.2021.3104736</a>}, number={7}, journal={IEEE Transactions on Computers}, publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Yayla, Mikail and Buschjager, Sebastian and Gupta, Aniket and Chen, Jian-Jia and Henkel, Jorg and Morik, Katharina and Chen, Kuan-Hsun and Amrouch, Hussam}, year={2021}, pages={1681–1695} }","mla":"Yayla, Mikail, et al. “FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors.” <i>IEEE Transactions on Computers</i>, vol. 71, no. 7, Institute of Electrical and Electronics Engineers (IEEE), 2021, pp. 1681–95, doi:<a href=\"https://doi.org/10.1109/tc.2021.3104736\">10.1109/tc.2021.3104736</a>.","short":"M. Yayla, S. Buschjager, A. Gupta, J.-J. Chen, J. Henkel, K. Morik, K.-H. Chen, H. Amrouch, IEEE Transactions on Computers 71 (2021) 1681–1695.","chicago":"Yayla, Mikail, Sebastian Buschjager, Aniket Gupta, Jian-Jia Chen, Jorg Henkel, Katharina Morik, Kuan-Hsun Chen, and Hussam Amrouch. “FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors.” <i>IEEE Transactions on Computers</i> 71, no. 7 (2021): 1681–95. <a href=\"https://doi.org/10.1109/tc.2021.3104736\">https://doi.org/10.1109/tc.2021.3104736</a>.","apa":"Yayla, M., Buschjager, S., Gupta, A., Chen, J.-J., Henkel, J., Morik, K., Chen, K.-H., &#38; Amrouch, H. (2021). FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors. <i>IEEE Transactions on Computers</i>, <i>71</i>(7), 1681–1695. <a href=\"https://doi.org/10.1109/tc.2021.3104736\">https://doi.org/10.1109/tc.2021.3104736</a>","ieee":"M. Yayla <i>et al.</i>, “FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors,” <i>IEEE Transactions on Computers</i>, vol. 71, no. 7, pp. 1681–1695, 2021, doi: <a href=\"https://doi.org/10.1109/tc.2021.3104736\">10.1109/tc.2021.3104736</a>."},"issue":"7","publication":"IEEE Transactions on Computers","volume":71,"doi":"10.1109/tc.2021.3104736","user_id":"128464","publisher":"Institute of Electrical and Electronics Engineers (IEEE)","_id":"66200","page":"1681-1695","intvolume":"        71","date_updated":"2026-07-05T14:46:28Z","publication_status":"published","author":[{"last_name":"Yayla","first_name":"Mikail","full_name":"Yayla, Mikail"},{"full_name":"Buschjager, Sebastian","last_name":"Buschjager","first_name":"Sebastian"},{"full_name":"Gupta, Aniket","first_name":"Aniket","last_name":"Gupta"},{"full_name":"Chen, Jian-Jia","first_name":"Jian-Jia","last_name":"Chen"},{"full_name":"Henkel, Jorg","last_name":"Henkel","first_name":"Jorg"},{"last_name":"Morik","first_name":"Katharina","full_name":"Morik, Katharina"},{"first_name":"Kuan-Hsun","last_name":"Chen","full_name":"Chen, Kuan-Hsun"},{"full_name":"Amrouch, Hussam","last_name":"Amrouch","first_name":"Hussam"}],"publication_identifier":{"issn":["0018-9340","1557-9956","2326-3814"]},"title":"FeFET-Based Binarized Neural Networks Under Temperature-Dependent Bit Errors","status":"public","year":"2021"},{"date_updated":"2026-07-07T15:01:37Z","status":"public","title":"Bewerten oder Prüfen? Zur Relevanz der Figur der Prüfung für die Organisationssoziologie","year":"2021","author":[{"id":"88789","last_name":"Knoll","first_name":"Lisa","full_name":"Knoll, Lisa"}],"user_id":"88789","editor":[{"last_name":"Peetz","first_name":"Thorsten","full_name":"Peetz, Thorsten"},{"first_name":"Frank","last_name":"Meier","full_name":"Meier, Frank"}],"page":"49-69","_id":"37017","series_title":"Reihe: \"Organisationssoziologie\"","language":[{"iso":"eng"}],"publisher":"Springer VS","publication":"Organisation und Bewertung","citation":{"ieee":"L. Knoll, “Bewerten oder Prüfen? Zur Relevanz der Figur der Prüfung für die Organisationssoziologie,” in <i>Organisation und Bewertung</i>, T. Peetz and F. Meier, Eds. Wiesbaden: Springer VS, 2021, pp. 49–69.","apa":"Knoll, L. (2021). Bewerten oder Prüfen? Zur Relevanz der Figur der Prüfung für die Organisationssoziologie. In T. Peetz &#38; F. Meier (Eds.), <i>Organisation und Bewertung</i> (pp. 49–69). Springer VS.","short":"L. Knoll, in: T. Peetz, F. Meier (Eds.), Organisation Und Bewertung, Springer VS, Wiesbaden, 2021, pp. 49–69.","chicago":"Knoll, Lisa. “Bewerten Oder Prüfen? Zur Relevanz Der Figur Der Prüfung Für Die Organisationssoziologie.” In <i>Organisation Und Bewertung</i>, edited by Thorsten Peetz and Frank Meier, 49–69. Reihe: “Organisationssoziologie.” Wiesbaden: Springer VS, 2021.","mla":"Knoll, Lisa. “Bewerten Oder Prüfen? Zur Relevanz Der Figur Der Prüfung Für Die Organisationssoziologie.” <i>Organisation Und Bewertung</i>, edited by Thorsten Peetz and Frank Meier, Springer VS, 2021, pp. 49–69.","bibtex":"@inbook{Knoll_2021, place={Wiesbaden}, series={Reihe: “Organisationssoziologie”}, title={Bewerten oder Prüfen? Zur Relevanz der Figur der Prüfung für die Organisationssoziologie}, booktitle={Organisation und Bewertung}, publisher={Springer VS}, author={Knoll, Lisa}, editor={Peetz, Thorsten and Meier, Frank}, year={2021}, pages={49–69}, collection={Reihe: “Organisationssoziologie”} }","ama":"Knoll L. Bewerten oder Prüfen? Zur Relevanz der Figur der Prüfung für die Organisationssoziologie. In: Peetz T, Meier F, eds. <i>Organisation Und Bewertung</i>. Reihe: “Organisationssoziologie.” Springer VS; 2021:49-69."},"type":"book_chapter","department":[{"_id":"121"}],"date_created":"2023-01-17T09:42:15Z","place":"Wiesbaden"},{"date_updated":"2026-07-08T08:37:00Z","publication_status":"published","intvolume":"        15","title":"Skeletons of Prym varieties and Brill–Noethertheory","year":"2021","status":"public","author":[{"first_name":"Yoav","last_name":"Len","full_name":"Len, Yoav"},{"first_name":"Martin","last_name":"Ulirsch","full_name":"Ulirsch, Martin","id":"114697"}],"publication_identifier":{"issn":["1944-7833","1937-0652"]},"doi":"10.2140/ant.2021.15.785","user_id":"82981","volume":15,"page":"785-820","publisher":"Mathematical Sciences Publishers","_id":"66361","language":[{"iso":"eng"}],"issue":"3","publication":"Algebra &amp; Number Theory","citation":{"mla":"Len, Yoav, and Martin Ulirsch. “Skeletons of Prym Varieties and Brill–Noethertheory.” <i>Algebra &#38;amp; Number Theory</i>, vol. 15, no. 3, Mathematical Sciences Publishers, 2021, pp. 785–820, doi:<a href=\"https://doi.org/10.2140/ant.2021.15.785\">10.2140/ant.2021.15.785</a>.","bibtex":"@article{Len_Ulirsch_2021, title={Skeletons of Prym varieties and Brill–Noethertheory}, volume={15}, DOI={<a href=\"https://doi.org/10.2140/ant.2021.15.785\">10.2140/ant.2021.15.785</a>}, number={3}, journal={Algebra &#38;amp; Number Theory}, publisher={Mathematical Sciences Publishers}, author={Len, Yoav and Ulirsch, Martin}, year={2021}, pages={785–820} }","ama":"Len Y, Ulirsch M. Skeletons of Prym varieties and Brill–Noethertheory. <i>Algebra &#38;amp; Number Theory</i>. 2021;15(3):785-820. doi:<a href=\"https://doi.org/10.2140/ant.2021.15.785\">10.2140/ant.2021.15.785</a>","ieee":"Y. Len and M. Ulirsch, “Skeletons of Prym varieties and Brill–Noethertheory,” <i>Algebra &#38;amp; Number Theory</i>, vol. 15, no. 3, pp. 785–820, 2021, doi: <a href=\"https://doi.org/10.2140/ant.2021.15.785\">10.2140/ant.2021.15.785</a>.","apa":"Len, Y., &#38; Ulirsch, M. (2021). Skeletons of Prym varieties and Brill–Noethertheory. <i>Algebra &#38;amp; Number Theory</i>, <i>15</i>(3), 785–820. <a href=\"https://doi.org/10.2140/ant.2021.15.785\">https://doi.org/10.2140/ant.2021.15.785</a>","short":"Y. Len, M. Ulirsch, Algebra &#38;amp; Number Theory 15 (2021) 785–820.","chicago":"Len, Yoav, and Martin Ulirsch. “Skeletons of Prym Varieties and Brill–Noethertheory.” <i>Algebra &#38;amp; Number Theory</i> 15, no. 3 (2021): 785–820. <a href=\"https://doi.org/10.2140/ant.2021.15.785\">https://doi.org/10.2140/ant.2021.15.785</a>."},"type":"journal_article","date_created":"2026-07-08T08:36:11Z"},{"citation":{"chicago":"Ulirsch, Martin. “A Non-Archimedean Analogue of Teichmüller Space and Its Tropicalization.” <i>Selecta Mathematica</i> 27, no. 3 (2021): 39. <a href=\"https://doi.org/10.1007/s00029-021-00651-4\">https://doi.org/10.1007/s00029-021-00651-4</a>.","short":"M. Ulirsch, Selecta Mathematica 27 (2021) 39.","apa":"Ulirsch, M. (2021). A non-Archimedean analogue of Teichmüller space and its tropicalization. <i>Selecta Mathematica</i>, <i>27</i>(3), 39. <a href=\"https://doi.org/10.1007/s00029-021-00651-4\">https://doi.org/10.1007/s00029-021-00651-4</a>","ieee":"M. Ulirsch, “A non-Archimedean analogue of Teichmüller space and its tropicalization,” <i>Selecta Mathematica</i>, vol. 27, no. 3, p. 39, 2021, doi: <a href=\"https://doi.org/10.1007/s00029-021-00651-4\">10.1007/s00029-021-00651-4</a>.","ama":"Ulirsch M. A non-Archimedean analogue of Teichmüller space and its tropicalization. <i>Selecta Mathematica</i>. 2021;27(3):39. doi:<a href=\"https://doi.org/10.1007/s00029-021-00651-4\">10.1007/s00029-021-00651-4</a>","bibtex":"@article{Ulirsch_2021, title={A non-Archimedean analogue of Teichmüller space and its tropicalization}, volume={27}, DOI={<a href=\"https://doi.org/10.1007/s00029-021-00651-4\">10.1007/s00029-021-00651-4</a>}, number={3}, journal={Selecta Mathematica}, publisher={Springer Science and Business Media LLC}, author={Ulirsch, Martin}, year={2021}, pages={39} }","mla":"Ulirsch, Martin. “A Non-Archimedean Analogue of Teichmüller Space and Its Tropicalization.” <i>Selecta Mathematica</i>, vol. 27, no. 3, Springer Science and Business Media LLC, 2021, p. 39, doi:<a href=\"https://doi.org/10.1007/s00029-021-00651-4\">10.1007/s00029-021-00651-4</a>."},"status":"public","publisher":"Springer Science and Business Media LLC","_id":"66321","page":"39","volume":27,"user_id":"82981","publication":"Selecta Mathematica","issue":"3","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>In this article we use techniques from tropical and logarithmic geometry to construct a non-Archimedean analogue of<jats:italic>Teichmüller space</jats:italic><jats:inline-formula><jats:alternatives><jats:tex-math>$$\\overline{{{\\mathcal {T}}}}_g$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mover><mml:mi>T</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>g</mml:mi></mml:msub></mml:math></jats:alternatives></jats:inline-formula>whose points are pairs consisting of a stable projective curve over a non-Archimedean field and a Teichmüller marking of the topological fundamental group of its Berkovich analytification. This construction is closely related to and inspired by the classical construction of a non-Archimedean Schottky space for Mumford curves by Gerritzen and Herrlich. We argue that the skeleton of non-Archimedean Teichmüller space is precisely the tropical Teichmüller space introduced by Chan–Melo–Viviani as a simplicial completion of Culler–Vogtmann Outer space. As a consequence, Outer space turns out to be a strong deformation retract of the locus of smooth Mumford curves in<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\overline{{\\mathcal {T}}}_g$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mover><mml:mi>T</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>g</mml:mi></mml:msub></mml:math></jats:alternatives></jats:inline-formula>.</jats:p>","lang":"eng"}],"date_created":"2026-07-08T06:48:52Z","type":"journal_article","author":[{"id":"114697","first_name":"Martin","last_name":"Ulirsch","full_name":"Ulirsch, Martin"}],"publication_identifier":{"issn":["1022-1824","1420-9020"]},"title":"A non-Archimedean analogue of Teichmüller space and its tropicalization","year":"2021","intvolume":"        27","date_updated":"2026-07-09T06:47:29Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1007/s00029-021-00651-4"},{"intvolume":"       174","date_updated":"2026-08-13T06:33:15Z","author":[{"first_name":"Maike","last_name":"Bauer","full_name":"Bauer, Maike","id":"29647"},{"full_name":"Hohwiller, Peter","orcid":"0000-0002-1182-6364","first_name":"Peter","last_name":"Hohwiller","id":"62925"}],"year":"2021","title":"How to tell machines what to do. Wissenschaftler(innen)biografien in einem Padlet darstellen","status":"public","volume":174,"user_id":"62925","language":[{"iso":"ger"}],"_id":"54533","page":"36-41","citation":{"bibtex":"@article{Bauer_Hohwiller_2021, title={How to tell machines what to do. Wissenschaftler(innen)biografien in einem Padlet darstellen}, volume={174}, journal={Der fremdsprachliche Unterricht Englisch}, author={Bauer, Maike and Hohwiller, Peter}, year={2021}, pages={36–41} }","ama":"Bauer M, Hohwiller P. How to tell machines what to do. Wissenschaftler(innen)biografien in einem Padlet darstellen. <i>Der fremdsprachliche Unterricht Englisch</i>. 2021;174:36-41.","mla":"Bauer, Maike, and Peter Hohwiller. “How to tell machines what to do. Wissenschaftler(innen)biografien in einem Padlet darstellen.” <i>Der fremdsprachliche Unterricht Englisch</i>, vol. 174, 2021, pp. 36–41.","chicago":"Bauer, Maike, and Peter Hohwiller. “How to tell machines what to do. Wissenschaftler(innen)biografien in einem Padlet darstellen.” <i>Der fremdsprachliche Unterricht Englisch</i> 174 (2021): 36–41.","short":"M. Bauer, P. Hohwiller, Der fremdsprachliche Unterricht Englisch 174 (2021) 36–41.","ieee":"M. Bauer and P. Hohwiller, “How to tell machines what to do. Wissenschaftler(innen)biografien in einem Padlet darstellen,” <i>Der fremdsprachliche Unterricht Englisch</i>, vol. 174, pp. 36–41, 2021.","apa":"Bauer, M., &#38; Hohwiller, P. (2021). How to tell machines what to do. Wissenschaftler(innen)biografien in einem Padlet darstellen. <i>Der fremdsprachliche Unterricht Englisch</i>, <i>174</i>, 36–41."},"publication":"Der fremdsprachliche Unterricht Englisch","type":"journal_article","date_created":"2024-05-31T13:14:55Z"},{"type":"newspaper_article","oa":"1","department":[{"_id":"186"},{"_id":"551"},{"_id":"635"}],"date_created":"2026-06-15T08:41:10Z","publication":"Bankruptcies: A victim of the corona crisis?","citation":{"mla":"Gassen, Joachim, and Urska Kosi. “Bankruptcies: A Victim of the Corona Crisis? TRR 266 Accounting for Transparency.” <i>Bankruptcies: A Victim of the Corona Crisis?</i>, 2021.","bibtex":"@article{Gassen_Kosi_2021, title={Bankruptcies: A victim of the corona crisis? TRR 266 Accounting for Transparency.}, journal={Bankruptcies: A victim of the corona crisis?}, author={Gassen, Joachim and Kosi, Urska}, year={2021} }","ama":"Gassen J, Kosi U. Bankruptcies: A victim of the corona crisis? TRR 266 Accounting for Transparency. <i>Bankruptcies: A victim of the corona crisis?</i>. 2021.","ieee":"J. Gassen and U. Kosi, “Bankruptcies: A victim of the corona crisis? TRR 266 Accounting for Transparency.,” <i>Bankruptcies: A victim of the corona crisis?</i>, 2021.","apa":"Gassen, J., &#38; Kosi, U. (2021). Bankruptcies: A victim of the corona crisis? TRR 266 Accounting for Transparency. <i>Bankruptcies: A Victim of the Corona Crisis?</i>","short":"J. Gassen, U. Kosi, Bankruptcies: A Victim of the Corona Crisis? (2021).","chicago":"Gassen, Joachim, and Urska Kosi. “Bankruptcies: A Victim of the Corona Crisis? TRR 266 Accounting for Transparency.” <i>Bankruptcies: A Victim of the Corona Crisis?</i>, 2021."},"publication_date":"2021","user_id":"15866","main_file_link":[{"url":"https://www.accounting-for-transparency.de/bankruptcies-a-victim-of-the-corona-crisis/","open_access":"1"}],"_id":"65864","language":[{"iso":"eng"}],"date_updated":"2026-08-25T09:52:56Z","publication_status":"published","title":"Bankruptcies: A victim of the corona crisis? TRR 266 Accounting for Transparency.","year":"2021","status":"public","author":[{"first_name":"Joachim","last_name":"Gassen","full_name":"Gassen, Joachim"},{"id":"54068","orcid":"0009-0009-2545-5929","last_name":"Kosi","first_name":"Urska","full_name":"Kosi, Urska"}]},{"publication_status":"published","date_updated":"2026-08-26T08:34:24Z","year":"2021","title":"Interkulturalität und Wohlbefinden im Schulkontext","status":"public","publication_identifier":{"isbn":["9783658278250","9783658278250"]},"author":[{"first_name":"Kerstin","last_name":"Göbel","full_name":"Göbel, Kerstin"},{"id":"118361","full_name":"Frankemölle, Bernd","last_name":"Frankemölle","orcid":"https://orcid.org/0009-0001-4040-9420","first_name":"Bernd"}],"user_id":"118361","doi":"10.1007/987-3-658-27789-5_30","page":"645-661","edition":"2","_id":"60917","language":[{"iso":"ger"}],"publisher":"Springer Fachmedien Wiesbaden","extern":"1","publication":"Handbuch Stress und Kultur","citation":{"mla":"Göbel, Kerstin, and Bernd Frankemölle. “Interkulturalität und Wohlbefinden im Schulkontext.” <i>Handbuch Stress und Kultur</i>, 2nd ed., Springer Fachmedien Wiesbaden, 2021, pp. 645–61, doi:<a href=\"https://doi.org/10.1007/987-3-658-27789-5_30\">10.1007/987-3-658-27789-5_30</a>.","bibtex":"@inbook{Göbel_Frankemölle_2021, place={Wiesbaden}, edition={2}, title={Interkulturalität und Wohlbefinden im Schulkontext}, DOI={<a href=\"https://doi.org/10.1007/987-3-658-27789-5_30\">10.1007/987-3-658-27789-5_30</a>}, booktitle={Handbuch Stress und Kultur}, publisher={Springer Fachmedien Wiesbaden}, author={Göbel, Kerstin and Frankemölle, Bernd}, year={2021}, pages={645–661} }","ama":"Göbel K, Frankemölle B. Interkulturalität und Wohlbefinden im Schulkontext. In: <i>Handbuch Stress und Kultur</i>. 2nd ed. Springer Fachmedien Wiesbaden; 2021:645-661. doi:<a href=\"https://doi.org/10.1007/987-3-658-27789-5_30\">10.1007/987-3-658-27789-5_30</a>","ieee":"K. Göbel and B. Frankemölle, “Interkulturalität und Wohlbefinden im Schulkontext,” in <i>Handbuch Stress und Kultur</i>, 2nd ed., Wiesbaden: Springer Fachmedien Wiesbaden, 2021, pp. 645–661.","apa":"Göbel, K., &#38; Frankemölle, B. (2021). Interkulturalität und Wohlbefinden im Schulkontext. In <i>Handbuch Stress und Kultur</i> (2nd ed., pp. 645–661). Springer Fachmedien Wiesbaden. <a href=\"https://doi.org/10.1007/987-3-658-27789-5_30\">https://doi.org/10.1007/987-3-658-27789-5_30</a>","chicago":"Göbel, Kerstin, and Bernd Frankemölle. “Interkulturalität und Wohlbefinden im Schulkontext.” In <i>Handbuch Stress und Kultur</i>, 2nd ed., 645–61. Wiesbaden: Springer Fachmedien Wiesbaden, 2021. <a href=\"https://doi.org/10.1007/987-3-658-27789-5_30\">https://doi.org/10.1007/987-3-658-27789-5_30</a>.","short":"K. Göbel, B. Frankemölle, in: Handbuch Stress und Kultur, 2nd ed., Springer Fachmedien Wiesbaden, Wiesbaden, 2021, pp. 645–661."},"type":"book_chapter","date_created":"2025-08-11T15:32:36Z","place":"Wiesbaden"}]