[{"title":"On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation","publication_status":"epub_ahead","department":[{"_id":"101"},{"_id":"530"},{"_id":"655"}],"oa":"1","doi":"10.1109/TPAMI.2021.3114962","date_updated":"2022-10-21T12:27:16Z","language":[{"iso":"eng"}],"user_id":"47427","ddc":["510"],"abstract":[{"text":"We present a novel algorithm that allows us to gain detailed insight into the effects of sparsity in linear and nonlinear optimization, which is of great importance in many scientific areas such as image and signal processing, medical imaging, compressed sensing, and machine learning (e.g., for the training of neural networks). Sparsity is an important feature to ensure robustness against noisy data, but also to find models that are interpretable and easy to analyze due to the small number of relevant terms. It is common practice to enforce sparsity by adding the ℓ1-norm as a weighted penalty term. In order to gain a better understanding and to allow for an informed model selection, we directly solve the corresponding multiobjective optimization problem (MOP) that arises when we minimize the main objective and the ℓ1-norm simultaneously. As this MOP is in general non-convex for nonlinear objectives, the weighting method will fail to provide all optimal compromises. To avoid this issue, we present a continuation method which is specifically tailored to MOPs with two objective functions one of which is the ℓ1-norm. Our method can be seen as a generalization of well-known homotopy methods for linear regression problems to the nonlinear case. Several numerical examples - including neural network training - demonstrate our theoretical findings and the additional insight that can be gained by this multiobjective approach.","lang":"eng"}],"article_type":"original","date_created":"2020-12-15T07:46:36Z","status":"public","has_accepted_license":"1","volume":44,"file":[{"date_created":"2021-09-25T11:59:15Z","file_name":"On_the_Treatment_of_Optimization_Problems_with_L1_Penalty_Terms_via_Multiobjective_Continuation.pdf","access_level":"closed","file_size":7990831,"creator":"speitz","file_id":"25040","date_updated":"2021-09-25T11:59:15Z","content_type":"application/pdf","relation":"main_file","success":1}],"file_date_updated":"2021-09-25T11:59:15Z","publication":"IEEE Transactions on Pattern Analysis and Machine Intelligence","author":[{"id":"32829","last_name":"Bieker","full_name":"Bieker, Katharina","first_name":"Katharina"},{"last_name":"Gebken","id":"32643","first_name":"Bennet","full_name":"Gebken, Bennet"},{"last_name":"Peitz","id":"47427","first_name":"Sebastian","orcid":"0000-0002-3389-793X","full_name":"Peitz, Sebastian"}],"publisher":"IEEE","issue":"11","intvolume":" 44","_id":"20731","page":"7797-7808","citation":{"bibtex":"@article{Bieker_Gebken_Peitz_2022, title={On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation}, volume={44}, DOI={10.1109/TPAMI.2021.3114962}, number={11}, journal={IEEE Transactions on Pattern Analysis and Machine Intelligence}, publisher={IEEE}, author={Bieker, Katharina and Gebken, Bennet and Peitz, Sebastian}, year={2022}, pages={7797–7808} }","mla":"Bieker, Katharina, et al. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, IEEE, 2022, pp. 7797–808, doi:10.1109/TPAMI.2021.3114962.","chicago":"Bieker, Katharina, Bennet Gebken, and Sebastian Peitz. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern Analysis and Machine Intelligence 44, no. 11 (2022): 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962.","ama":"Bieker K, Gebken B, Peitz S. On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2022;44(11):7797-7808. doi:10.1109/TPAMI.2021.3114962","apa":"Bieker, K., Gebken, B., & Peitz, S. (2022). On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 44(11), 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962","ieee":"K. Bieker, B. Gebken, and S. Peitz, “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, pp. 7797–7808, 2022, doi: 10.1109/TPAMI.2021.3114962.","short":"K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (2022) 7797–7808."},"type":"journal_article","year":"2022","main_file_link":[{"open_access":"1","url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9547772"}]},{"publication_identifier":{"issn":["1424-0637","1424-0661"]},"publication_status":"published","department":[{"_id":"548"}],"title":"Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature","external_id":{"arxiv":["arXiv:2011.06434"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00023-021-01121-5","date_updated":"2023-01-06T08:59:03Z","date_created":"2022-05-11T10:46:10Z","status":"public","volume":23,"keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"publication":"Annales Henri Poincaré","author":[{"id":"48880","last_name":"Kolb","full_name":"Kolb, Martin","first_name":"Martin"},{"id":"49178","last_name":"Weich","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias"},{"first_name":"Lasse Lennart","full_name":"Wolf, Lasse Lennart","last_name":"Wolf","id":"45027"}],"publisher":"Springer Science and Business Media LLC","user_id":"49178","abstract":[{"text":"AbstractThe kinetic Brownian motion on the sphere bundle of a Riemannian manifold $$\\mathbb {M}$$\r\n M\r\n is a stochastic process that models a random perturbation of the geodesic flow. If $$\\mathbb {M}$$\r\n M\r\n is an orientable compact constantly curved surface, we show that in the limit of infinitely large perturbation the $$L^2$$\r\n \r\n L\r\n 2\r\n \r\n -spectrum of the infinitesimal generator of a time-rescaled version of the process converges to the Laplace spectrum of the base manifold.","lang":"eng"}],"page":"1283-1296","type":"journal_article","year":"2022","citation":{"bibtex":"@article{Kolb_Weich_Wolf_2022, title={Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature}, volume={23}, DOI={10.1007/s00023-021-01121-5}, number={4}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart}, year={2022}, pages={1283–1296} }","mla":"Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré, vol. 23, no. 4, Springer Science and Business Media LLC, 2022, pp. 1283–96, doi:10.1007/s00023-021-01121-5.","apa":"Kolb, M., Weich, T., & Wolf, L. L. (2022). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré, 23(4), 1283–1296. https://doi.org/10.1007/s00023-021-01121-5","ama":"Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré. 2022;23(4):1283-1296. doi:10.1007/s00023-021-01121-5","chicago":"Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri Poincaré 23, no. 4 (2022): 1283–96. https://doi.org/10.1007/s00023-021-01121-5.","ieee":"M. Kolb, T. Weich, and L. L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature,” Annales Henri Poincaré, vol. 23, no. 4, pp. 1283–1296, 2022, doi: 10.1007/s00023-021-01121-5.","short":"M. Kolb, T. Weich, L.L. Wolf, Annales Henri Poincaré 23 (2022) 1283–1296."},"issue":"4","intvolume":" 23","_id":"31193"},{"_id":"35306","intvolume":" 24","issue":"3","page":"851-923","type":"journal_article","citation":{"mla":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical Society, vol. 24, no. 3, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 851–923, doi:10.4171/jems/1103.","bibtex":"@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances for manifolds with hyperbolic cusps}, volume={24}, DOI={10.4171/jems/1103}, number={3}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Guedes Bonthonneau, Yannick and Weich, Tobias}, year={2022}, pages={851–923} }","chicago":"Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical Society 24, no. 3 (2022): 851–923. https://doi.org/10.4171/jems/1103.","apa":"Guedes Bonthonneau, Y., & Weich, T. (2022). Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society, 24(3), 851–923. https://doi.org/10.4171/jems/1103","ama":"Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society. 2022;24(3):851-923. doi:10.4171/jems/1103","ieee":"Y. Guedes Bonthonneau and T. Weich, “Ruelle–Pollicott resonances for manifolds with hyperbolic cusps,” Journal of the European Mathematical Society, vol. 24, no. 3, pp. 851–923, 2022, doi: 10.4171/jems/1103.","short":"Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society 24 (2022) 851–923."},"year":"2022","user_id":"49178","keyword":["Applied Mathematics","General Mathematics"],"publication":"Journal of the European Mathematical Society","author":[{"first_name":"Yannick","full_name":"Guedes Bonthonneau, Yannick","last_name":"Guedes Bonthonneau"},{"last_name":"Weich","id":"49178","first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias"}],"publisher":"European Mathematical Society - EMS - Publishing House GmbH","date_created":"2023-01-05T16:23:34Z","status":"public","volume":24,"date_updated":"2023-01-06T08:47:35Z","doi":"10.4171/jems/1103","language":[{"iso":"eng"}],"title":"Ruelle–Pollicott resonances for manifolds with hyperbolic cusps","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"publication_identifier":{"issn":["1435-9855"]},"publication_status":"published"},{"date_created":"2022-12-20T17:37:16Z","status":"public","volume":408,"publication":"Journal of Computational and Applied Mathematics","keyword":["Applied Mathematics","Computational Mathematics"],"publisher":"Elsevier BV","author":[{"first_name":"Kerstin","full_name":"Hesse, Kerstin","orcid":"0000-0003-4125-1941","last_name":"Hesse","id":"42608"},{"full_name":"Le Gia, Quoc Thong","first_name":"Quoc Thong","last_name":"Le Gia"}],"user_id":"14931","year":"2022","citation":{"ieee":"K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data,” Journal of Computational and Applied Mathematics, vol. 408, Art. no. 114118, 2022, doi: 10.1016/j.cam.2022.114118.","short":"K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408 (2022).","mla":"Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.” Journal of Computational and Applied Mathematics, vol. 408, 114118, Elsevier BV, 2022, doi:10.1016/j.cam.2022.114118.","bibtex":"@article{Hesse_Le Gia_2022, title={L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data}, volume={408}, DOI={10.1016/j.cam.2022.114118}, number={114118}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier BV}, author={Hesse, Kerstin and Le Gia, Quoc Thong}, year={2022} }","chicago":"Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.” Journal of Computational and Applied Mathematics 408 (2022). https://doi.org/10.1016/j.cam.2022.114118.","apa":"Hesse, K., & Le Gia, Q. T. (2022). L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics, 408, Article 114118. https://doi.org/10.1016/j.cam.2022.114118","ama":"Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics. 2022;408. doi:10.1016/j.cam.2022.114118"},"type":"journal_article","article_number":"114118","intvolume":" 408","_id":"34633","publication_status":"published","publication_identifier":{"issn":["0377-0427"]},"department":[{"_id":"10"}],"title":"L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data","language":[{"iso":"eng"}],"doi":"10.1016/j.cam.2022.114118","date_updated":"2023-01-09T08:23:56Z"},{"page":"53-152","type":"journal_article","year":"2022","citation":{"ieee":"M. Hanusch, “Regularity of Lie groups,” Communications in Analysis and Geometry, vol. 30, no. 1, pp. 53–152, 2022, doi: 10.4310/cag.2022.v30.n1.a2.","short":"M. Hanusch, Communications in Analysis and Geometry 30 (2022) 53–152.","mla":"Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in Analysis and Geometry, vol. 30, no. 1, International Press of Boston, 2022, pp. 53–152, doi:10.4310/cag.2022.v30.n1.a2.","bibtex":"@article{Hanusch_2022, title={Regularity of Lie groups}, volume={30}, DOI={10.4310/cag.2022.v30.n1.a2}, number={1}, journal={Communications in Analysis and Geometry}, publisher={International Press of Boston}, author={Hanusch, Maximilian}, year={2022}, pages={53–152} }","ama":"Hanusch M. Regularity of Lie groups. Communications in Analysis and Geometry. 2022;30(1):53-152. doi:10.4310/cag.2022.v30.n1.a2","apa":"Hanusch, M. (2022). Regularity of Lie groups. Communications in Analysis and Geometry, 30(1), 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2","chicago":"Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in Analysis and Geometry 30, no. 1 (2022): 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2."},"intvolume":" 30","_id":"34817","issue":"1","keyword":["regularity of Lie groups"],"publication":"Communications in Analysis and Geometry","author":[{"id":"30905","last_name":"Hanusch","full_name":"Hanusch, Maximilian","first_name":"Maximilian"}],"publisher":"International Press of Boston","volume":30,"date_created":"2022-12-22T09:19:43Z","status":"public","extern":"1","article_type":"original","user_id":"30905","language":[{"iso":"eng"}],"date_updated":"2023-01-09T18:07:30Z","doi":"10.4310/cag.2022.v30.n1.a2","department":[{"_id":"93"}],"publication_status":"published","publication_identifier":{"issn":["1019-8385","1944-9992"]},"title":"Regularity of Lie groups"},{"date_updated":"2023-01-09T18:07:00Z","_id":"34856","page":"385","year":"2022","citation":{"bibtex":"@book{Hanusch, title={Analysis 1 und 2 Skript/Buch}, publisher={https://maximilianhanusch.wixsite.com/my-site/lehre-teaching}, author={Hanusch, Maximilian} }","mla":"Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","chicago":"Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d.","ama":"Hanusch M. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching","apa":"Hanusch, M. (n.d.). Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","ieee":"M. Hanusch, Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","short":"M. Hanusch, Analysis 1 und 2 Skript/Buch, https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d."},"type":"working_paper","language":[{"iso":"ger"}],"title":"Analysis 1 und 2 Skript/Buch","user_id":"30905","publication_status":"draft","date_created":"2022-12-22T17:06:02Z","status":"public","department":[{"_id":"93"}],"publisher":"https://maximilianhanusch.wixsite.com/my-site/lehre-teaching","author":[{"full_name":"Hanusch, Maximilian","first_name":"Maximilian","id":"30905","last_name":"Hanusch"}]},{"type":"journal_article","citation":{"chicago":"Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability and Its Applications 67, no. 4 (2022): 717–44.","apa":"Kolb, M., & Klump, A. (2022). Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary. Theory of Probability and Its Applications, 67(4), 717–744.","ama":"Kolb M, Klump A. Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary. Theory of Probability and its Applications. 2022;67(4):717-744.","short":"M. Kolb, A. Klump, Theory of Probability and Its Applications 67 (2022) 717–744.","bibtex":"@article{Kolb_Klump_2022, title={Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary}, volume={67}, number={4}, journal={Theory of Probability and its Applications}, publisher={Society for Industrial and Applied Mathematics}, author={Kolb, Martin and Klump, Alexander}, year={2022}, pages={717–744} }","mla":"Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability and Its Applications, vol. 67, no. 4, Society for Industrial and Applied Mathematics, 2022, pp. 717–44.","ieee":"M. Kolb and A. Klump, “Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary,” Theory of Probability and its Applications, vol. 67, no. 4, pp. 717–744, 2022."},"year":"2022","page":"717-744","language":[{"iso":"eng"}],"issue":"4","_id":"35644","date_updated":"2023-01-10T08:13:30Z","intvolume":" 67","publication_status":"published","volume":67,"status":"public","date_created":"2023-01-10T08:13:17Z","author":[{"full_name":"Kolb, Martin","first_name":"Martin","id":"48880","last_name":"Kolb"},{"full_name":"Klump, Alexander","first_name":"Alexander","id":"45067","last_name":"Klump"}],"publisher":"Society for Industrial and Applied Mathematics","department":[{"_id":"96"}],"publication":"Theory of Probability and its Applications","title":"Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev boundary","user_id":"85821"},{"publication_status":"published","date_created":"2023-01-10T08:19:25Z","status":"public","publication":"Electronic Journal of Probability","department":[{"_id":"96"}],"author":[{"last_name":"Kolb","id":"48880","first_name":"Martin","full_name":"Kolb, Martin"},{"last_name":"Liesenfeld","full_name":"Liesenfeld, Matthias","first_name":"Matthias"}],"publisher":"Institute of Mathematical Statistics","title":"On non-extinction in a Fleming-Viot-type particle model with Bessel drift","user_id":"85821","abstract":[{"text":"Motivated by the work [6] of Mariusz Bieniek, Krzysztof Burdzy and Soumik Pal we study a Fleming-Viot-type particle system consisting of independently moving particles each driven by generalized Bessel processes on the positive real line. Upon hitting the boundary {0} this particle is killed and an uniformly chosen different one branches into two particles. Using the symmetry of the model and the self similarity property of Bessel processes, we obtain a criterion to decide whether the particles converge to the origin at a finite time. This addresses open problem 1.4 in [6]. Specifically, inspired by [6, Open Problem 1.5], we investigate the case of three moving particles and refine the general result of [6, Theorem 1.1(ii)] extending the regime of drift parameters, where convergence does not occur – even to values, where it does occur when considering the case of only two particles.","lang":"eng"}],"page":"1-28","type":"journal_article","citation":{"chicago":"Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type Particle Model with Bessel Drift.” Electronic Journal of Probability, no. 27 (2022): 1–28. https://doi.org/10.1214/22-EJP866.","apa":"Kolb, M., & Liesenfeld, M. (2022). On non-extinction in a Fleming-Viot-type particle model with Bessel drift. Electronic Journal of Probability, 27, 1–28. https://doi.org/10.1214/22-EJP866","ama":"Kolb M, Liesenfeld M. On non-extinction in a Fleming-Viot-type particle model with Bessel drift. Electronic Journal of Probability. 2022;(27):1-28. doi:https://doi.org/10.1214/22-EJP866","mla":"Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type Particle Model with Bessel Drift.” Electronic Journal of Probability, no. 27, Institute of Mathematical Statistics, 2022, pp. 1–28, doi:https://doi.org/10.1214/22-EJP866.","bibtex":"@article{Kolb_Liesenfeld_2022, title={On non-extinction in a Fleming-Viot-type particle model with Bessel drift}, DOI={https://doi.org/10.1214/22-EJP866}, number={27}, journal={Electronic Journal of Probability}, publisher={Institute of Mathematical Statistics}, author={Kolb, Martin and Liesenfeld, Matthias}, year={2022}, pages={1–28} }","short":"M. Kolb, M. Liesenfeld, Electronic Journal of Probability (2022) 1–28.","ieee":"M. Kolb and M. Liesenfeld, “On non-extinction in a Fleming-Viot-type particle model with Bessel drift,” Electronic Journal of Probability, no. 27, pp. 1–28, 2022, doi: https://doi.org/10.1214/22-EJP866."},"year":"2022","language":[{"iso":"eng"}],"doi":"https://doi.org/10.1214/22-EJP866","issue":"27","_id":"35649","date_updated":"2023-01-10T08:19:38Z"},{"doi":"https://doi.org/10.48550/arXiv.2203.14772","intvolume":" 27","_id":"35650","date_updated":"2023-01-10T08:29:02Z","language":[{"iso":"eng"}],"citation":{"mla":"Denisov, Denis, et al. “Persistence of Autoregressive Sequences with Logarithmic Tails.” Electronic Journal of Probability, vol. 27, Institute of Mathematical Statistics, 2022, pp. 1–43, doi:https://doi.org/10.48550/arXiv.2203.14772.","bibtex":"@article{Denisov_Hinrichs_Kolb_Wachtel_2022, title={Persistence of autoregressive sequences with logarithmic tails}, volume={27}, DOI={https://doi.org/10.48550/arXiv.2203.14772}, journal={Electronic Journal of Probability}, publisher={Institute of Mathematical Statistics}, author={Denisov, Denis and Hinrichs, Günter and Kolb, Martin and Wachtel, Vitali}, year={2022}, pages={1–43} }","chicago":"Denisov, Denis, Günter Hinrichs, Martin Kolb, and Vitali Wachtel. “Persistence of Autoregressive Sequences with Logarithmic Tails.” Electronic Journal of Probability 27 (2022): 1–43. https://doi.org/10.48550/arXiv.2203.14772.","ama":"Denisov D, Hinrichs G, Kolb M, Wachtel V. Persistence of autoregressive sequences with logarithmic tails. Electronic Journal of Probability. 2022;27:1-43. doi:https://doi.org/10.48550/arXiv.2203.14772","apa":"Denisov, D., Hinrichs, G., Kolb, M., & Wachtel, V. (2022). Persistence of autoregressive sequences with logarithmic tails. Electronic Journal of Probability, 27, 1–43. https://doi.org/10.48550/arXiv.2203.14772","ieee":"D. Denisov, G. Hinrichs, M. Kolb, and V. Wachtel, “Persistence of autoregressive sequences with logarithmic tails,” Electronic Journal of Probability, vol. 27, pp. 1–43, 2022, doi: https://doi.org/10.48550/arXiv.2203.14772.","short":"D. Denisov, G. Hinrichs, M. Kolb, V. Wachtel, Electronic Journal of Probability 27 (2022) 1–43."},"year":"2022","type":"journal_article","page":"1-43","user_id":"85821","title":"Persistence of autoregressive sequences with logarithmic tails","abstract":[{"text":"We consider autoregressive sequences Xn = aXn−1 + ξn and\r\nMn = max{aMn−1 , ξn} with a constant a ∈ (0, 1) and with positive, in-\r\ndependent and identically distributed innovations {ξk }. It is known that if\r\nP(ξ1 > x) ∼ d\r\nlog x with some d ∈ (0, − log a) then the chains {Xn} and {Mn}\r\nare null recurrent. We investigate the tail behaviour of recurrence times in this\r\ncase of logarithmically decaying tails. More precisely, we show that the tails\r\nof recurrence times are regularly varying of index −1 − d/ log a. We also prove\r\nlimit theorems for {Xn} and {Mn} conditioned to stay over a fixed level x0.\r\nFurthermore, we study tail asymptotics for recurrence times of {Xn} and {Mn}\r\nin the case when these chains are positive recurrent and the tail of log ξ1 is\r\nsubexponential.","lang":"eng"}],"status":"public","date_created":"2023-01-10T08:28:12Z","volume":27,"publication_status":"published","publisher":"Institute of Mathematical Statistics","author":[{"last_name":"Denisov","full_name":"Denisov, Denis","first_name":"Denis"},{"last_name":"Hinrichs","full_name":"Hinrichs, Günter","first_name":"Günter"},{"first_name":"Martin","full_name":"Kolb, Martin","last_name":"Kolb","id":"48880"},{"last_name":"Wachtel","first_name":"Vitali","full_name":"Wachtel, Vitali"}],"publication":"Electronic Journal of Probability","department":[{"_id":"96"}]},{"date_updated":"2023-01-10T08:58:56Z","doi":"10.1080/0020739x.2021.2023772","language":[{"iso":"eng"}],"title":"The role of learning strategies for performance in mathematics courses for engineers","department":[{"_id":"363"}],"publication_status":"published","publication_identifier":{"issn":["0020-739X","1464-5211"]},"_id":"35685","intvolume":" 53","issue":"5","citation":{"short":"M. Liebendörfer, R. Göller, L. Gildehaus, J. Kortemeyer, R. Biehler, R. Hochmuth, L. Ostsieker, J. Rode, N. Schaper, International Journal of Mathematical Education in Science and Technology 53 (2022) 1133–1152.","ieee":"M. Liebendörfer et al., “The role of learning strategies for performance in mathematics courses for engineers,” International Journal of Mathematical Education in Science and Technology, vol. 53, no. 5, pp. 1133–1152, 2022, doi: 10.1080/0020739x.2021.2023772.","apa":"Liebendörfer, M., Göller, R., Gildehaus, L., Kortemeyer, J., Biehler, R., Hochmuth, R., Ostsieker, L., Rode, J., & Schaper, N. (2022). The role of learning strategies for performance in mathematics courses for engineers. International Journal of Mathematical Education in Science and Technology, 53(5), 1133–1152. https://doi.org/10.1080/0020739x.2021.2023772","ama":"Liebendörfer M, Göller R, Gildehaus L, et al. The role of learning strategies for performance in mathematics courses for engineers. International Journal of Mathematical Education in Science and Technology. 2022;53(5):1133-1152. doi:10.1080/0020739x.2021.2023772","chicago":"Liebendörfer, Michael, Robin Göller, Lara Gildehaus, Jörg Kortemeyer, Rolf Biehler, Reinhard Hochmuth, Laura Ostsieker, Jana Rode, and Niclas Schaper. “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.” International Journal of Mathematical Education in Science and Technology 53, no. 5 (2022): 1133–52. https://doi.org/10.1080/0020739x.2021.2023772.","mla":"Liebendörfer, Michael, et al. “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.” International Journal of Mathematical Education in Science and Technology, vol. 53, no. 5, Informa UK Limited, 2022, pp. 1133–52, doi:10.1080/0020739x.2021.2023772.","bibtex":"@article{Liebendörfer_Göller_Gildehaus_Kortemeyer_Biehler_Hochmuth_Ostsieker_Rode_Schaper_2022, title={The role of learning strategies for performance in mathematics courses for engineers}, volume={53}, DOI={10.1080/0020739x.2021.2023772}, number={5}, journal={International Journal of Mathematical Education in Science and Technology}, publisher={Informa UK Limited}, author={Liebendörfer, Michael and Göller, Robin and Gildehaus, Lara and Kortemeyer, Jörg and Biehler, Rolf and Hochmuth, Reinhard and Ostsieker, Laura and Rode, Jana and Schaper, Niclas}, year={2022}, pages={1133–1152} }"},"type":"journal_article","year":"2022","page":"1133-1152","user_id":"37888","publisher":"Informa UK Limited","author":[{"full_name":"Liebendörfer, Michael","orcid":"0000-0001-9887-2074","first_name":"Michael","id":"30933","last_name":"Liebendörfer"},{"last_name":"Göller","first_name":"Robin","full_name":"Göller, Robin"},{"full_name":"Gildehaus, Lara","first_name":"Lara","last_name":"Gildehaus"},{"last_name":"Kortemeyer","full_name":"Kortemeyer, Jörg","first_name":"Jörg"},{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"},{"first_name":"Reinhard","full_name":"Hochmuth, Reinhard","last_name":"Hochmuth"},{"last_name":"Ostsieker","full_name":"Ostsieker, Laura","first_name":"Laura"},{"full_name":"Rode, Jana","first_name":"Jana","last_name":"Rode"},{"last_name":"Schaper","full_name":"Schaper, Niclas","first_name":"Niclas"}],"publication":"International Journal of Mathematical Education in Science and Technology","keyword":["Applied Mathematics","Education","Mathematics (miscellaneous)"],"volume":53,"status":"public","date_created":"2023-01-10T08:56:30Z"},{"title":"Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln","user_id":"37888","volume":2022,"status":"public","date_created":"2023-01-10T09:25:23Z","publisher":"Friedrich Verlag","author":[{"id":"16274","last_name":"Biehler","full_name":"Biehler, Rolf","first_name":"Rolf"},{"first_name":"Hubert","full_name":"Langlotz, Hubert","last_name":"Langlotz"},{"last_name":"Zappe","full_name":"Zappe, Wilfried","first_name":"Wilfried"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"publication":"mathematik lehren","issue":"232","date_updated":"2023-01-11T08:02:49Z","_id":"35718","intvolume":" 2022","citation":{"apa":"Biehler, R., Langlotz, H., & Zappe, W. (2022). Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln. Mathematik Lehren, 2022(232), 41–45.","ama":"Biehler R, Langlotz H, Zappe W. Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln. mathematik lehren. 2022;2022(232):41–45.","chicago":"Biehler, Rolf, Hubert Langlotz, and Wilfried Zappe. “Alles Normal?! Daten Auf Normalverteilung Prüfen–Mit Schulischen Mitteln.” Mathematik Lehren 2022, no. 232 (2022): 41–45.","mla":"Biehler, Rolf, et al. “Alles Normal?! Daten Auf Normalverteilung Prüfen–Mit Schulischen Mitteln.” Mathematik Lehren, vol. 2022, no. 232, Friedrich Verlag, 2022, pp. 41–45.","bibtex":"@article{Biehler_Langlotz_Zappe_2022, title={Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln}, volume={2022}, number={232}, journal={mathematik lehren}, publisher={Friedrich Verlag}, author={Biehler, Rolf and Langlotz, Hubert and Zappe, Wilfried}, year={2022}, pages={41–45} }","short":"R. Biehler, H. Langlotz, W. Zappe, Mathematik Lehren 2022 (2022) 41–45.","ieee":"R. Biehler, H. Langlotz, and W. Zappe, “Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln,” mathematik lehren, vol. 2022, no. 232, pp. 41–45, 2022."},"year":"2022","type":"journal_article","page":"41–45","language":[{"iso":"eng"}]},{"date_updated":"2023-01-11T08:07:52Z","_id":"35696","doi":"10.52041/iase.icots11.t4b2","language":[{"iso":"eng"}],"year":"2022","citation":{"ieee":"R. Nieszporek, B. Griese, and R. Biehler, “Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan, Eds. Rosario, Argentina: International Association for Statistical Education, 2022.","short":"R. Nieszporek, B. Griese, R. Biehler, in: S.A. Peters, L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, International Association for Statistical Education, Rosario, Argentina, 2022.","mla":"Nieszporek, Ralf, et al. “Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability.” Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters et al., International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t4b2.","bibtex":"@inbook{Nieszporek_Griese_Biehler_2022, place={Rosario, Argentina}, title={Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability}, DOI={10.52041/iase.icots11.t4b2}, booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}, publisher={International Association for Statistical Education}, author={Nieszporek, Ralf and Griese, Birgit and Biehler, Rolf}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022} }","chicago":"Nieszporek, Ralf, Birgit Griese, and Rolf Biehler. “Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability.” In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. Rosario, Argentina: International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t4b2.","ama":"Nieszporek R, Griese B, Biehler R. Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability. In: Peters SA, Zapata-Cardona L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education; 2022. doi:10.52041/iase.icots11.t4b2","apa":"Nieszporek, R., Griese, B., & Biehler, R. (2022). Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability. In S. A. Peters, L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education. https://doi.org/10.52041/iase.icots11.t4b2"},"type":"book_chapter","abstract":[{"text":"The data age has led to curriculum developments promoting the relevance of stochastics in mathematics education. This has resulted in an increased demand for teacher professional development (PD) courses, and thus in a rising number of facilitators for this purpose. Their expertise, however, remains under-researched, even though facilitators are the crucial factor in PD success. Our study aims at revealing how one aspect of facilitator expertise, orientation, is connected to other aspects: views on content goals, perception of possible challenges, and attitude towards teaching resources. The explorations reveal differing orientations and learning goals with identical teaching resources for two facilitators who had also been working as a team for the re-design of the PD course for years.","lang":"eng"}],"place":"Rosario, Argentina","user_id":"37888","title":"Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability","publication":"Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"publisher":"International Association for Statistical Education","author":[{"last_name":"Nieszporek","id":"59608","first_name":"Ralf","full_name":"Nieszporek, Ralf"},{"last_name":"Griese","full_name":"Griese, Birgit","first_name":"Birgit"},{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"}],"date_created":"2023-01-10T09:01:02Z","status":"public","publication_status":"published","editor":[{"last_name":"Peters","first_name":"S. A.","full_name":"Peters, S. A."},{"last_name":"Zapata-Cardona","full_name":"Zapata-Cardona, L.","first_name":"L."},{"last_name":"Bonafini","full_name":"Bonafini, F.","first_name":"F."},{"last_name":"Fan","full_name":"Fan, A.","first_name":"A."}]},{"publisher":"International Association for Statistical Education","author":[{"id":"16274","last_name":"Biehler","full_name":"Biehler, Rolf","first_name":"Rolf"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"publication":"Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics","status":"public","date_created":"2022-12-23T11:09:52Z","editor":[{"full_name":"Peters, S. A.","first_name":"S. A.","last_name":"Peters"},{"last_name":"Zapata-Cardona","full_name":"Zapata-Cardona, L.","first_name":"L."},{"last_name":"Bonafini","full_name":"Bonafini, F.","first_name":"F."},{"last_name":"Fan","first_name":"A.","full_name":"Fan, A."}],"publication_status":"published","abstract":[{"text":"Fundamental ideas (Burrill & Biehler, 2011) have been specified to structure the curriculum across different age levels and to focus on and revisit the most important ideas. Such ideas must be based on an epistemological analysis of the scientific domain of statistics and its applications. Because these domains are changing, fundamental ideas have to be revisited from time to time. In particular, data science and machine learning have led to new methods and applications in society that must be considered for updating fundamental ideas.","lang":"eng"}],"user_id":"37888","title":"Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications","language":[{"iso":"eng"}],"type":"conference","year":"2022","citation":{"short":"R. Biehler, in: S.A. Peters, L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, International Association for Statistical Education, 2022.","ieee":"R. Biehler, “Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, 2022, doi: 10.52041/iase.icots11.t1a2.","apa":"Biehler, R. (2022). Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications. In S. A. Peters, L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education. https://doi.org/10.52041/iase.icots11.t1a2","ama":"Biehler R. Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications. In: Peters SA, Zapata-Cardona L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education; 2022. doi:10.52041/iase.icots11.t1a2","chicago":"Biehler, Rolf. “Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications.” In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t1a2.","bibtex":"@inproceedings{Biehler_2022, title={Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications}, DOI={10.52041/iase.icots11.t1a2}, booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}, publisher={International Association for Statistical Education}, author={Biehler, Rolf}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022} }","mla":"Biehler, Rolf. “Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications.” Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters et al., International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t1a2."},"date_updated":"2023-01-11T08:45:02Z","_id":"34919","doi":"10.52041/iase.icots11.t1a2"},{"title":"Editorial: Research on Data Science Education","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"publication_identifier":{"issn":["1570-1824"]},"publication_status":"published","date_updated":"2023-01-11T08:46:32Z","doi":"10.52041/serj.v21i2.606","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"A very warm welcome to this Special Issue of the Statistics Education Research Journal (SERJ) on data science education. Our hope is to give an overview of selected theoretical thoughts and empirical studies on data science education from a statistics education research perspective. Data science education is rapidly developing but research into data science education is still in its infancy. The current issue presents a snapshot of this developing field."}],"user_id":"37888","author":[{"first_name":"Rolf","full_name":"Biehler, Rolf","last_name":"Biehler","id":"16274"},{"last_name":"De Veaux","full_name":"De Veaux, Richard","first_name":"Richard"},{"last_name":"Engel","full_name":"Engel, Joachim","first_name":"Joachim"},{"last_name":"Kazak","full_name":"Kazak, Sibel","first_name":"Sibel"},{"full_name":"Frischemeier, Daniel","first_name":"Daniel","last_name":"Frischemeier"}],"publisher":"International Association for Statistical Education","keyword":["Education","Statistics and Probability"],"publication":"Statistics Education Research Journal","volume":21,"status":"public","date_created":"2022-12-23T11:20:39Z","intvolume":" 21","_id":"34920","article_number":"1","issue":"2","year":"2022","type":"journal_article","citation":{"bibtex":"@article{Biehler_De Veaux_Engel_Kazak_Frischemeier_2022, title={Editorial: Research on Data Science Education}, volume={21}, DOI={10.52041/serj.v21i2.606}, number={21}, journal={Statistics Education Research Journal}, publisher={International Association for Statistical Education}, author={Biehler, Rolf and De Veaux, Richard and Engel, Joachim and Kazak, Sibel and Frischemeier, Daniel}, year={2022} }","mla":"Biehler, Rolf, et al. “Editorial: Research on Data Science Education.” Statistics Education Research Journal, vol. 21, no. 2, 1, International Association for Statistical Education, 2022, doi:10.52041/serj.v21i2.606.","ama":"Biehler R, De Veaux R, Engel J, Kazak S, Frischemeier D. Editorial: Research on Data Science Education. Statistics Education Research Journal. 2022;21(2). doi:10.52041/serj.v21i2.606","apa":"Biehler, R., De Veaux, R., Engel, J., Kazak, S., & Frischemeier, D. (2022). Editorial: Research on Data Science Education. Statistics Education Research Journal, 21(2), Article 1. https://doi.org/10.52041/serj.v21i2.606","chicago":"Biehler, Rolf, Richard De Veaux, Joachim Engel, Sibel Kazak, and Daniel Frischemeier. “Editorial: Research on Data Science Education.” Statistics Education Research Journal 21, no. 2 (2022). https://doi.org/10.52041/serj.v21i2.606.","ieee":"R. Biehler, R. De Veaux, J. Engel, S. Kazak, and D. Frischemeier, “Editorial: Research on Data Science Education,” Statistics Education Research Journal, vol. 21, no. 2, Art. no. 1, 2022, doi: 10.52041/serj.v21i2.606.","short":"R. Biehler, R. De Veaux, J. Engel, S. Kazak, D. Frischemeier, Statistics Education Research Journal 21 (2022)."}},{"citation":{"short":"R. Biehler, B. Griese, Mathematik Lehren 2022 (2022) 2–6.","ieee":"R. Biehler and B. Griese, “Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren,” mathematik lehren, vol. 2022, no. 232, pp. 2–6, 2022.","apa":"Biehler, R., & Griese, B. (2022). Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren. Mathematik Lehren, 2022(232), 2–6.","ama":"Biehler R, Griese B. Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren. mathematik lehren. 2022;2022(232):2–6.","chicago":"Biehler, Rolf, and Birgit Griese. “Modellieren Im Stochastikunterricht: Annahmen Hinterfragen, Ergebnisse Validieren.” Mathematik Lehren 2022, no. 232 (2022): 2–6.","mla":"Biehler, Rolf, and Birgit Griese. “Modellieren Im Stochastikunterricht: Annahmen Hinterfragen, Ergebnisse Validieren.” Mathematik Lehren, vol. 2022, no. 232, Friedrich Verlag, 2022, pp. 2–6.","bibtex":"@article{Biehler_Griese_2022, title={Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren}, volume={2022}, number={232}, journal={mathematik lehren}, publisher={Friedrich Verlag}, author={Biehler, Rolf and Griese, Birgit}, year={2022}, pages={2–6} }"},"year":"2022","type":"journal_article","page":"2–6","language":[{"iso":"eng"}],"_id":"35926","intvolume":" 2022","date_updated":"2023-01-11T08:50:14Z","issue":"232","publisher":"Friedrich Verlag","author":[{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"},{"last_name":"Griese","first_name":"Birgit","full_name":"Griese, Birgit"}],"publication":"mathematik lehren","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"volume":2022,"status":"public","date_created":"2023-01-11T08:49:12Z","title":"Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren","user_id":"37888"},{"place":"Wiesbaden","user_id":"32202","title":"Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.","quality_controlled":"1","author":[{"last_name":"Hoffmann","id":"32202","first_name":"Max","full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123"},{"id":"16274","last_name":"Biehler","full_name":"Biehler, Rolf","first_name":"Rolf"}],"publisher":"Springer Spektrum","department":[{"_id":"97"}],"publication":" Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen ","status":"public","date_created":"2022-05-22T14:16:52Z","editor":[{"full_name":"Halverscheid, Stefan","first_name":"Stefan","last_name":"Halverscheid"},{"last_name":"Kersten","first_name":"Ina","full_name":"Kersten, Ina"},{"first_name":"Barbara","full_name":"Schmidt-Thieme, Barbara","last_name":"Schmidt-Thieme"}],"publication_status":"published","_id":"31367","date_updated":"2023-01-11T15:28:21Z","language":[{"iso":"ger"}],"type":"conference","year":"2022","citation":{"chicago":"Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.” In Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , edited by Stefan Halverscheid, Ina Kersten, and Barbara Schmidt-Thieme, 351–68. Wiesbaden: Springer Spektrum, 2022.","apa":"Hoffmann, M., & Biehler, R. (2022). Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie. In S. Halverscheid, I. Kersten, & B. Schmidt-Thieme (Eds.), Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen (pp. 351–368). Springer Spektrum.","ama":"Hoffmann M, Biehler R. Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie. In: Halverscheid S, Kersten I, Schmidt-Thieme B, eds. Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen . Springer Spektrum; 2022:351-368.","bibtex":"@inproceedings{Hoffmann_Biehler_2022, place={Wiesbaden}, title={Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.}, booktitle={ Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen }, publisher={Springer Spektrum}, author={Hoffmann, Max and Biehler, Rolf}, editor={Halverscheid, Stefan and Kersten, Ina and Schmidt-Thieme, Barbara}, year={2022}, pages={351–368} }","mla":"Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.” Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , edited by Stefan Halverscheid et al., Springer Spektrum, 2022, pp. 351–68.","short":"M. Hoffmann, R. Biehler, in: S. Halverscheid, I. Kersten, B. Schmidt-Thieme (Eds.), Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , Springer Spektrum, Wiesbaden, 2022, pp. 351–368.","ieee":"M. Hoffmann and R. Biehler, “Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.,” in Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , 2022, pp. 351–368."},"page":"351-368"},{"publication_identifier":{"issn":["2197-8751","2197-876X"],"isbn":["9783662639474","9783662639481"]},"publication_status":"published","editor":[{"last_name":"Isaev","first_name":"Viktor","full_name":"Isaev, Viktor"},{"full_name":"Eichler, Andreas","first_name":"Andreas","last_name":"Eichler"},{"first_name":"Frank","full_name":"Loose, Frank","last_name":"Loose"}],"department":[{"_id":"97"}],"title":"Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium","place":"Berlin, Heidelberg","language":[{"iso":"ger"}],"doi":"10.1007/978-3-662-63948-1_4","date_updated":"2023-01-11T15:29:09Z","date_created":"2022-05-22T14:03:58Z","status":"public","publication":" Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik","publisher":"Springer","author":[{"full_name":"Biehler, Rolf","first_name":"Rolf","id":"16274","last_name":"Biehler"},{"first_name":"Max","orcid":"0000-0002-6964-7123","full_name":"Hoffmann, Max","last_name":"Hoffmann","id":"32202"}],"quality_controlled":"1","user_id":"32202","page":" 49–72","citation":{"bibtex":"@inproceedings{Biehler_Hoffmann_2022, place={Berlin, Heidelberg}, title={Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium}, DOI={10.1007/978-3-662-63948-1_4}, booktitle={ Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik}, publisher={Springer}, author={Biehler, Rolf and Hoffmann, Max}, editor={Isaev, Viktor and Eichler, Andreas and Loose, Frank}, year={2022}, pages={49–72} }","mla":"Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.” Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, edited by Viktor Isaev et al., Springer, 2022, pp. 49–72, doi:10.1007/978-3-662-63948-1_4.","chicago":"Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.” In Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, edited by Viktor Isaev, Andreas Eichler, and Frank Loose, 49–72. Berlin, Heidelberg: Springer, 2022. https://doi.org/10.1007/978-3-662-63948-1_4.","apa":"Biehler, R., & Hoffmann, M. (2022). Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In V. Isaev, A. Eichler, & F. Loose (Eds.), Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik (pp. 49–72). Springer. https://doi.org/10.1007/978-3-662-63948-1_4","ama":"Biehler R, Hoffmann M. Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In: Isaev V, Eichler A, Loose F, eds. Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik. Springer; 2022:49–72. doi:10.1007/978-3-662-63948-1_4","ieee":"R. Biehler and M. Hoffmann, “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium,” in Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, 2022, pp. 49–72, doi: 10.1007/978-3-662-63948-1_4.","short":"R. Biehler, M. Hoffmann, in: V. Isaev, A. Eichler, F. Loose (Eds.), Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik, Springer, Berlin, Heidelberg, 2022, pp. 49–72."},"year":"2022","type":"conference","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/978-3-662-63948-1_4"}],"_id":"31365"},{"citation":{"bibtex":"@book{Schürmann_Büdenbender-Kuklinski_Lankeit_Liebendörfer_Hochmuth_Biehler_Schaper_2022, title={Dokumentation der Erhebungsinstrumente des Projekts WiGeMath}, DOI={10.17170/KOBRA-202205176188}, publisher={LibreCat University}, author={Schürmann, Mirko and Büdenbender-Kuklinski, C. and Lankeit, Elisa and Liebendörfer, Michael and Hochmuth, R. and Biehler, Rolf and Schaper, N.}, year={2022} }","mla":"Schürmann, Mirko, et al. Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University, 2022, doi:10.17170/KOBRA-202205176188.","chicago":"Schürmann, Mirko, C. Büdenbender-Kuklinski, Elisa Lankeit, Michael Liebendörfer, R. Hochmuth, Rolf Biehler, and N. Schaper. Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University, 2022. https://doi.org/10.17170/KOBRA-202205176188.","ama":"Schürmann M, Büdenbender-Kuklinski C, Lankeit E, et al. Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University; 2022. doi:10.17170/KOBRA-202205176188","apa":"Schürmann, M., Büdenbender-Kuklinski, C., Lankeit, E., Liebendörfer, M., Hochmuth, R., Biehler, R., & Schaper, N. (2022). Dokumentation der Erhebungsinstrumente des Projekts WiGeMath. LibreCat University. https://doi.org/10.17170/KOBRA-202205176188","ieee":"M. Schürmann et al., Dokumentation der Erhebungsinstrumente des Projekts WiGeMath. LibreCat University, 2022.","short":"M. Schürmann, C. Büdenbender-Kuklinski, E. Lankeit, M. Liebendörfer, R. Hochmuth, R. Biehler, N. Schaper, Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath, LibreCat University, 2022."},"year":"2022","type":"research_data","doi":"10.17170/KOBRA-202205176188","date_updated":"2023-01-17T23:33:52Z","_id":"35698","date_created":"2023-01-10T09:04:26Z","status":"public","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"},{"_id":"423"}],"publisher":"LibreCat University","author":[{"first_name":"Mirko","full_name":"Schürmann, Mirko","orcid":"0000-0003-2646-085X","last_name":"Schürmann","id":"59707"},{"last_name":"Büdenbender-Kuklinski","full_name":"Büdenbender-Kuklinski, C.","first_name":"C."},{"full_name":"Lankeit, Elisa","first_name":"Elisa","last_name":"Lankeit"},{"first_name":"Michael","orcid":"0000-0001-9887-2074","full_name":"Liebendörfer, Michael","last_name":"Liebendörfer","id":"30933"},{"full_name":"Hochmuth, R.","first_name":"R.","last_name":"Hochmuth"},{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"},{"first_name":"N.","full_name":"Schaper, N.","last_name":"Schaper"}],"user_id":"14931","title":"Dokumentation der Erhebungsinstrumente des Projekts WiGeMath"},{"type":"journal_article","year":"2022","citation":{"short":"M. Liebendörfer, L. Kempen, S. Schukajlow, ZDM – Mathematics Education (2022).","ieee":"M. Liebendörfer, L. Kempen, and S. Schukajlow, “First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study,” ZDM – Mathematics Education, 2022, doi: 10.1007/s11858-022-01444-5.","apa":"Liebendörfer, M., Kempen, L., & Schukajlow, S. (2022). First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-022-01444-5","ama":"Liebendörfer M, Kempen L, Schukajlow S. First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study. ZDM – Mathematics Education. Published online 2022. doi:10.1007/s11858-022-01444-5","chicago":"Liebendörfer, Michael, Leander Kempen, and Stanislaw Schukajlow. “First-Year University Students’ Self-Regulated Learning during the COVID-19 Pandemic: A Qualitative Longitudinal Study.” ZDM – Mathematics Education, 2022. https://doi.org/10.1007/s11858-022-01444-5.","bibtex":"@article{Liebendörfer_Kempen_Schukajlow_2022, title={First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study}, DOI={10.1007/s11858-022-01444-5}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Liebendörfer, Michael and Kempen, Leander and Schukajlow, Stanislaw}, year={2022} }","mla":"Liebendörfer, Michael, et al. “First-Year University Students’ Self-Regulated Learning during the COVID-19 Pandemic: A Qualitative Longitudinal Study.” ZDM – Mathematics Education, Springer Science and Business Media LLC, 2022, doi:10.1007/s11858-022-01444-5."},"language":[{"iso":"eng"}],"_id":"37470","date_updated":"2023-01-18T22:44:06Z","doi":"10.1007/s11858-022-01444-5","publisher":"Springer Science and Business Media LLC","author":[{"full_name":"Liebendörfer, Michael","first_name":"Michael","last_name":"Liebendörfer"},{"full_name":"Kempen, Leander","first_name":"Leander","last_name":"Kempen"},{"last_name":"Schukajlow","first_name":"Stanislaw","full_name":"Schukajlow, Stanislaw"}],"department":[{"_id":"10"}],"keyword":["General Mathematics","Education"],"publication":"ZDM – Mathematics Education","publication_status":"published","publication_identifier":{"issn":["1863-9690","1863-9704"]},"status":"public","date_created":"2023-01-18T22:22:25Z","abstract":[{"text":"AbstractWhen the COVID-19 pandemic began, many universities switched to fully online teaching. This unexpected switching to online teaching was challenging for both teachers and students, and restrictions that were put in place because of pandemic made this challenge even greater. However, new ways of teaching might also open new opportunities for students’ learning. The research question driving our study was as follows: how do students regulate their learning and specifically their choice of resources and peer learning in university mathematics classes that are fully taught online as offered during the COVID-19 pandemic? We report on a longitudinal, qualitative study in which students recorded a brief audio diary twice a week over one whole semester (14 weeks). We focused on three students who completed 70 interviews in total and finished the semester with varying degrees of success. The results show how the students structured their studying (e.g., the roles that deadlines or synchronous teaching events played). They illustrate the strengths and limitations of digital materials provided by the lecturer and the use of complementary media. Further, the pandemic uncovered the double-edged role of simple, often anonymous exchanges (e.g., via Discord servers), with few binding forces for either side, and the significance of stable learning partnerships for students’ success. Our research highlights aspects that should be focal points when comparing traditional instruction and online instruction during the pandemic from a self-regulatory perspective. Practical implications refer to how these aspects can be combined sensibly in fully online courses, but also in blended learning contexts.","lang":"eng"}],"title":"First-year university students' self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study","user_id":"30933"},{"doi":"10.1007/s40753-022-00188-7","_id":"37472","date_updated":"2023-01-18T22:43:43Z","year":"2022","type":"journal_article","citation":{"mla":"Büdenbender-Kuklinski, Christiane, et al. “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students.” International Journal of Research in Undergraduate Mathematics Education, Springer Science and Business Media LLC, 2022, doi:10.1007/s40753-022-00188-7.","bibtex":"@article{Büdenbender-Kuklinski_Hochmuth_Liebendörfer_2022, title={Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students}, DOI={10.1007/s40753-022-00188-7}, journal={International Journal of Research in Undergraduate Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Büdenbender-Kuklinski, Christiane and Hochmuth, Reinhard and Liebendörfer, Michael}, year={2022} }","chicago":"Büdenbender-Kuklinski, Christiane, Reinhard Hochmuth, and Michael Liebendörfer. “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students.” International Journal of Research in Undergraduate Mathematics Education, 2022. https://doi.org/10.1007/s40753-022-00188-7.","ama":"Büdenbender-Kuklinski C, Hochmuth R, Liebendörfer M. Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students. International Journal of Research in Undergraduate Mathematics Education. Published online 2022. doi:10.1007/s40753-022-00188-7","apa":"Büdenbender-Kuklinski, C., Hochmuth, R., & Liebendörfer, M. (2022). Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students. International Journal of Research in Undergraduate Mathematics Education. https://doi.org/10.1007/s40753-022-00188-7","ieee":"C. Büdenbender-Kuklinski, R. Hochmuth, and M. Liebendörfer, “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students,” International Journal of Research in Undergraduate Mathematics Education, 2022, doi: 10.1007/s40753-022-00188-7.","short":"C. Büdenbender-Kuklinski, R. Hochmuth, M. Liebendörfer, International Journal of Research in Undergraduate Mathematics Education (2022)."},"language":[{"iso":"eng"}],"title":"Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students","user_id":"30933","abstract":[{"text":"AbstractAs earlier research results suggest that many mathematics teaching students criticize a missing relevance in their studies, we explore explanations and interrelationships of their relevance assessments. We aim at finding out how one could support the students in attributing relevance to their study programs. A two-fold model for relevance assessments in mathematics teacher education is proposed, consisting of relevance content and relevance reasons. We investigate students' relevance perceptions of mathematical topics and of topics’ complexities, as well as their rating of individual and societal/ vocational relevance reasons, all in relation to their perception of the relevance of their overall program of study. Contrary to earlier research findings, our results suggest that mathematics teaching students already do attribute relevance to many content areas and that a preparation for the teaching profession is not the only reason for them to assign relevance. There also seem to be many students who would attribute relevance if they could develop as individuals and pursue their interests. We suggest that giving students opportunities to set individual priorities in their studies could hence support their relevance assessments. As low relevance assessments seem to be connected to students’ motivational problems, students might profit from motivational support, as well.","lang":"eng"}],"publication_identifier":{"issn":["2198-9745","2198-9753"]},"publication_status":"published","date_created":"2023-01-18T22:22:49Z","status":"public","publication":"International Journal of Research in Undergraduate Mathematics Education","department":[{"_id":"10"}],"keyword":["Education","Mathematics (miscellaneous)"],"author":[{"last_name":"Büdenbender-Kuklinski","first_name":"Christiane","full_name":"Büdenbender-Kuklinski, Christiane"},{"last_name":"Hochmuth","first_name":"Reinhard","full_name":"Hochmuth, Reinhard"},{"last_name":"Liebendörfer","full_name":"Liebendörfer, Michael","first_name":"Michael"}],"publisher":"Springer Science and Business Media LLC"}]