[{"author":[{"last_name":"Hernández Castellanos","first_name":"Carlos Ignacio","full_name":"Hernández Castellanos, Carlos Ignacio"},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum","id":"16494"},{"last_name":"Peitz","first_name":"Sebastian","orcid":"https://orcid.org/0000-0002-3389-793X","full_name":"Peitz, Sebastian","id":"47427"}],"year":"2020","status":"public","title":"Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty","date_updated":"2022-01-21T09:55:39Z","language":[{"iso":"eng"}],"_id":"16297","page":"7593-7618","volume":"30(17)","user_id":"15694","doi":"10.1002/rnc.5197","citation":{"ieee":"C. I. Hernández Castellanos, S. Ober-Blöbaum, and S. Peitz, “Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty,” <i>International Journal of Robust and Nonlinear Control</i>, vol. 30(17), pp. 7593–7618, 2020, doi: <a href=\"https://doi.org/10.1002/rnc.5197\">10.1002/rnc.5197</a>.","apa":"Hernández Castellanos, C. I., Ober-Blöbaum, S., &#38; Peitz, S. (2020). Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty. <i>International Journal of Robust and Nonlinear Control</i>, <i>30(17)</i>, 7593–7618. <a href=\"https://doi.org/10.1002/rnc.5197\">https://doi.org/10.1002/rnc.5197</a>","chicago":"Hernández Castellanos, Carlos Ignacio, Sina Ober-Blöbaum, and Sebastian Peitz. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems  Under Uncertainty.” <i>International Journal of Robust and Nonlinear Control</i> 30(17) (2020): 7593–7618. <a href=\"https://doi.org/10.1002/rnc.5197\">https://doi.org/10.1002/rnc.5197</a>.","short":"C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30(17) (2020) 7593–7618.","mla":"Hernández Castellanos, Carlos Ignacio, et al. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems  Under Uncertainty.” <i>International Journal of Robust and Nonlinear Control</i>, vol. 30(17), 2020, pp. 7593–618, doi:<a href=\"https://doi.org/10.1002/rnc.5197\">10.1002/rnc.5197</a>.","bibtex":"@article{Hernández Castellanos_Ober-Blöbaum_Peitz_2020, title={Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty}, volume={30(17)}, DOI={<a href=\"https://doi.org/10.1002/rnc.5197\">10.1002/rnc.5197</a>}, journal={International Journal of Robust and Nonlinear Control}, author={Hernández Castellanos, Carlos Ignacio and Ober-Blöbaum, Sina and Peitz, Sebastian}, year={2020}, pages={7593–7618} }","ama":"Hernández Castellanos CI, Ober-Blöbaum S, Peitz S. Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty. <i>International Journal of Robust and Nonlinear Control</i>. 2020;30(17):7593-7618. doi:<a href=\"https://doi.org/10.1002/rnc.5197\">10.1002/rnc.5197</a>"},"publication":"International Journal of Robust and Nonlinear Control","abstract":[{"text":"In real-world problems, uncertainties (e.g., errors in the measurement,\r\nprecision errors) often lead to poor performance of numerical algorithms when\r\nnot explicitly taken into account. This is also the case for control problems,\r\nwhere optimal solutions can degrade in quality or even become infeasible. Thus,\r\nthere is the need to design methods that can handle uncertainty. In this work,\r\nwe consider nonlinear multi-objective optimal control problems with uncertainty\r\non the initial conditions, and in particular their incorporation into a\r\nfeedback loop via model predictive control (MPC). In multi-objective optimal\r\ncontrol, an optimal compromise between multiple conflicting criteria has to be\r\nfound. For such problems, not much has been reported in terms of uncertainties.\r\nTo address this problem class, we design an offline/online framework to compute\r\nan approximation of efficient control strategies. This approach is closely\r\nrelated to explicit MPC for nonlinear systems, where the potentially expensive\r\noptimization problem is solved in an offline phase in order to enable fast\r\nsolutions in the online phase. In order to reduce the numerical cost of the\r\noffline phase, we exploit symmetries in the control problems. Furthermore, in\r\norder to ensure optimality of the solutions, we include an additional online\r\noptimization step, which is considerably cheaper than the original\r\nmulti-objective optimization problem. We test our framework on a car\r\nmaneuvering problem where safety and speed are the objectives. The\r\nmulti-objective framework allows for online adaptations of the desired\r\nobjective. Alternatively, an automatic scalarizing procedure yields very\r\nefficient feedback controls. Our results show that the method is capable of\r\ndesigning driving strategies that deal better with uncertainties in the initial\r\nconditions, which translates into potentially safer and faster driving\r\nstrategies.","lang":"eng"}],"date_created":"2020-03-13T12:45:56Z","department":[{"_id":"101"}],"type":"journal_article"},{"author":[{"last_name":"Hernández Castellanos","first_name":"C. I. O.","full_name":"Hernández Castellanos, C. I. O."},{"last_name":"Schütze","first_name":"G.","full_name":"Schütze, G."},{"last_name":"Sun","first_name":"J.-Q.","full_name":"Sun, J.-Q."},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum","id":"16494"},{"first_name":"G.","last_name":"Morales-Luna","full_name":"Morales-Luna, G."}],"year":"2020","status":"public","title":"Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping","date_updated":"2022-01-21T09:57:35Z","language":[{"iso":"eng"}],"_id":"29398","volume":"8(11):1959","user_id":"15694","citation":{"ama":"Hernández Castellanos CIO, Schütze G, Sun J-Q, Ober-Blöbaum S, Morales-Luna G. Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping. <i>Mathematics</i>. 2020;8(11):1959.","bibtex":"@article{Hernández Castellanos_Schütze_Sun_Ober-Blöbaum_Morales-Luna_2020, title={Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping}, volume={8(11):1959}, journal={Mathematics}, author={Hernández Castellanos, C. I. O. and Schütze, G. and Sun, J.-Q. and Ober-Blöbaum, Sina and Morales-Luna, G.}, year={2020} }","mla":"Hernández Castellanos, C. I. O., et al. “Numerical Computation of Lightly Multi-Objective Robust Optimal Solutions by Means of Generalized Cell Mapping.” <i>Mathematics</i>, vol. 8(11):1959, 2020.","chicago":"Hernández Castellanos, C. I. O., G. Schütze, J.-Q. Sun, Sina Ober-Blöbaum, and G. Morales-Luna. “Numerical Computation of Lightly Multi-Objective Robust Optimal Solutions by Means of Generalized Cell Mapping.” <i>Mathematics</i> 8(11):1959 (2020).","short":"C.I.O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, G. Morales-Luna, Mathematics 8(11):1959 (2020).","apa":"Hernández Castellanos, C. I. O., Schütze, G., Sun, J.-Q., Ober-Blöbaum, S., &#38; Morales-Luna, G. (2020). Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping. <i>Mathematics</i>, <i>8(11):1959</i>.","ieee":"C. I. O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, and G. Morales-Luna, “Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping,” <i>Mathematics</i>, vol. 8(11):1959, 2020."},"publication":"Mathematics","date_created":"2022-01-18T11:08:28Z","department":[{"_id":"636"}],"type":"journal_article"},{"publication":"Accepted for publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe","citation":{"ama":"Lishkova Y, Ober-Blöbaum S, Cannon M, Leyendecker S. A multirate variational approach to simulation and optimal control for flexible spacecraft. In: <i>Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe</i>. ; 2020.","bibtex":"@inproceedings{Lishkova_Ober-Blöbaum_Cannon_Leyendecker_2020, title={A multirate variational approach to simulation and optimal control for flexible spacecraft}, booktitle={Accepted for publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe}, author={Lishkova, Y. and Ober-Blöbaum, Sina and Cannon, M. and Leyendecker, S.}, year={2020} }","mla":"Lishkova, Y., et al. “A Multirate Variational Approach to Simulation and Optimal Control for Flexible Spacecraft.” <i>Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe</i>, 2020.","short":"Y. Lishkova, S. Ober-Blöbaum, M. Cannon, S. Leyendecker, in: Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe, 2020.","chicago":"Lishkova, Y., Sina Ober-Blöbaum, M. Cannon, and S. Leyendecker. “A Multirate Variational Approach to Simulation and Optimal Control for Flexible Spacecraft.” In <i>Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe</i>, 2020.","apa":"Lishkova, Y., Ober-Blöbaum, S., Cannon, M., &#38; Leyendecker, S. (2020). A multirate variational approach to simulation and optimal control for flexible spacecraft. <i>Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe</i>.","ieee":"Y. Lishkova, S. Ober-Blöbaum, M. Cannon, and S. Leyendecker, “A multirate variational approach to simulation and optimal control for flexible spacecraft,” 2020."},"date_created":"2022-01-18T14:37:53Z","type":"conference","department":[{"_id":"636"}],"year":"2020","status":"public","title":"A multirate variational approach to simulation and optimal control for flexible spacecraft","author":[{"first_name":"Y.","last_name":"Lishkova","full_name":"Lishkova, Y."},{"last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"full_name":"Cannon, M.","first_name":"M.","last_name":"Cannon"},{"full_name":"Leyendecker, S.","first_name":"S.","last_name":"Leyendecker"}],"date_updated":"2022-01-21T13:45:40Z","_id":"29422","language":[{"iso":"eng"}],"user_id":"15694"},{"author":[{"full_name":"Faulwasser, T.","last_name":"Faulwasser","first_name":"T."},{"first_name":"K.","last_name":"Flaßkamp","full_name":"Flaßkamp, K."},{"id":"16494","last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina"},{"full_name":"Worthmann, K. ","last_name":"Worthmann","first_name":"K. "}],"year":"2020","title":"A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems","status":"public","date_updated":"2022-01-21T13:46:57Z","language":[{"iso":"eng"}],"_id":"29423","user_id":"15694","citation":{"apa":"Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., &#38; Worthmann, K. (2020). A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems. <i>24th International Symposium on Mathematical Theory of Networks and Systems</i>.","ieee":"T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems,” 2020.","short":"T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.","chicago":"Faulwasser, T., K. Flaßkamp, Sina Ober-Blöbaum, and K.  Worthmann. “A Dissipativity Characterization of Velocity Turnpikes in Optimal Control Problems for Mechanical Systems.” In <i>24th International Symposium on Mathematical Theory of Networks and Systems</i>, 2020.","mla":"Faulwasser, T., et al. “A Dissipativity Characterization of Velocity Turnpikes in Optimal Control Problems for Mechanical Systems.” <i>24th International Symposium on Mathematical Theory of Networks and Systems</i>, 2020.","ama":"Faulwasser T, Flaßkamp K, Ober-Blöbaum S, Worthmann K. A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems. In: <i>24th International Symposium on Mathematical Theory of Networks and Systems</i>. ; 2020.","bibtex":"@inproceedings{Faulwasser_Flaßkamp_Ober-Blöbaum_Worthmann_2020, title={A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems}, booktitle={24th International Symposium on Mathematical Theory of Networks and Systems}, author={Faulwasser, T. and Flaßkamp, K. and Ober-Blöbaum, Sina and Worthmann, K. }, year={2020} }"},"publication":"24th International Symposium on Mathematical Theory of Networks and Systems","date_created":"2022-01-18T14:42:07Z","department":[{"_id":"636"}],"type":"conference"},{"citation":{"bibtex":"@inproceedings{Cresson_Jiménez_Ober-Blöbaum_2020, title={Modelling of the convection-diffusion equation through fractional restricted calculus of variations}, booktitle={24th International Symposium on Mathematical Theory of Networks and Systems}, author={Cresson, J.  and Jiménez, F. and Ober-Blöbaum, Sina}, year={2020} }","chicago":"Cresson, J. , F. Jiménez, and Sina Ober-Blöbaum. “Modelling of the Convection-Diffusion Equation through Fractional Restricted Calculus of Variations.” In <i>24th International Symposium on Mathematical Theory of Networks and Systems</i>, 2020.","short":"J. Cresson, F. Jiménez, S. Ober-Blöbaum, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.","ama":"Cresson J, Jiménez F, Ober-Blöbaum S. Modelling of the convection-diffusion equation through fractional restricted calculus of variations. In: <i>24th International Symposium on Mathematical Theory of Networks and Systems</i>. ; 2020.","ieee":"J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Modelling of the convection-diffusion equation through fractional restricted calculus of variations,” 2020.","apa":"Cresson, J., Jiménez, F., &#38; Ober-Blöbaum, S. (2020). Modelling of the convection-diffusion equation through fractional restricted calculus of variations. <i>24th International Symposium on Mathematical Theory of Networks and Systems</i>.","mla":"Cresson, J., et al. “Modelling of the Convection-Diffusion Equation through Fractional Restricted Calculus of Variations.” <i>24th International Symposium on Mathematical Theory of Networks and Systems</i>, 2020."},"publication":"24th International Symposium on Mathematical Theory of Networks and Systems","department":[{"_id":"636"}],"type":"conference","date_created":"2022-01-18T14:45:22Z","date_updated":"2022-01-21T13:47:49Z","author":[{"full_name":"Cresson, J. ","last_name":"Cresson","first_name":"J. "},{"full_name":"Jiménez, F.","first_name":"F.","last_name":"Jiménez"},{"id":"16494","last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina"}],"status":"public","year":"2020","title":"Modelling of the convection-diffusion equation through fractional restricted calculus of variations","user_id":"15694","language":[{"iso":"eng"}],"_id":"29424"},{"status":"public","_id":"29545","publisher":"Springer Science and Business Media LLC","page":"295-314","volume":213,"user_id":"87909","citation":{"short":"F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata 213 (2020) 295–314.","chicago":"Jean, Frédéric, Sofya Maslovskaya, and Igor Zelenko. “On Weyl’s Type Theorems and Genericity of Projective Rigidity in Sub-Riemannian Geometry.” <i>Geometriae Dedicata</i> 213, no. 1 (2020): 295–314. <a href=\"https://doi.org/10.1007/s10711-020-00581-z\">https://doi.org/10.1007/s10711-020-00581-z</a>.","ieee":"F. Jean, S. Maslovskaya, and I. Zelenko, “On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry,” <i>Geometriae Dedicata</i>, vol. 213, no. 1, pp. 295–314, 2020, doi: <a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>.","apa":"Jean, F., Maslovskaya, S., &#38; Zelenko, I. (2020). On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. <i>Geometriae Dedicata</i>, <i>213</i>(1), 295–314. <a href=\"https://doi.org/10.1007/s10711-020-00581-z\">https://doi.org/10.1007/s10711-020-00581-z</a>","bibtex":"@article{Jean_Maslovskaya_Zelenko_2020, title={On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry}, volume={213}, DOI={<a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>}, number={1}, journal={Geometriae Dedicata}, publisher={Springer Science and Business Media LLC}, author={Jean, Frédéric and Maslovskaya, Sofya and Zelenko, Igor}, year={2020}, pages={295–314} }","ama":"Jean F, Maslovskaya S, Zelenko I. On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. <i>Geometriae Dedicata</i>. 2020;213(1):295-314. doi:<a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>","mla":"Jean, Frédéric, et al. “On Weyl’s Type Theorems and Genericity of Projective Rigidity in Sub-Riemannian Geometry.” <i>Geometriae Dedicata</i>, vol. 213, no. 1, Springer Science and Business Media LLC, 2020, pp. 295–314, doi:<a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>."},"publication_identifier":{"issn":["0046-5755","1572-9168"]},"author":[{"full_name":"Jean, Frédéric","last_name":"Jean","first_name":"Frédéric"},{"id":"87909","last_name":"Maslovskaya","first_name":"Sofya","full_name":"Maslovskaya, Sofya"},{"full_name":"Zelenko, Igor","first_name":"Igor","last_name":"Zelenko"}],"title":"On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry","year":"2020","intvolume":"       213","publication_status":"published","date_updated":"2022-01-26T13:19:39Z","language":[{"iso":"eng"}],"doi":"10.1007/s10711-020-00581-z","issue":"1","publication":"Geometriae Dedicata","date_created":"2022-01-26T13:19:18Z","department":[{"_id":"636"}],"keyword":["Geometry and Topology"],"type":"journal_article"},{"date_created":"2022-01-26T13:26:36Z","type":"conference_abstract","department":[{"_id":"636"}],"oa":"1","citation":{"ama":"Maslovskaya S, Caillau J-B, Djema W, Giraldi L, Jean-Luc J-L, Pomet J-B. The turnpike property in maximization of microbial metabolite production. In: ; 2020.","short":"S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B. Pomet, in: 2020.","chicago":"Maslovskaya, Sofya, Jean-Baptiste Caillau, Walid Djema, Laetitia Giraldi, Jean-Luc Jean-Luc, and Jean-Baptiste Pomet. “The Turnpike Property in Maximization of Microbial Metabolite Production,” 2020.","bibtex":"@inproceedings{Maslovskaya_Caillau_Djema_Giraldi_Jean-Luc_Pomet_2020, title={The turnpike property in maximization of microbial metabolite production}, author={Maslovskaya, Sofya and Caillau, Jean-Baptiste and Djema, Walid and Giraldi, Laetitia and Jean-Luc, Jean-Luc and Pomet, Jean-Baptiste}, year={2020} }","mla":"Maslovskaya, Sofya, et al. <i>The Turnpike Property in Maximization of Microbial Metabolite Production</i>. 2020.","apa":"Maslovskaya, S., Caillau, J.-B., Djema, W., Giraldi, L., Jean-Luc, J.-L., &#38; Pomet, J.-B. (2020). <i>The turnpike property in maximization of microbial metabolite production</i>. IFAC 2020 - 21rst IFAC World Congress.","ieee":"S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, and J.-B. Pomet, “The turnpike property in maximization of microbial metabolite production,” presented at the IFAC 2020 - 21rst IFAC World Congress, 2020."},"extern":"1","quality_controlled":"1","main_file_link":[{"url":"https://hal.archives-ouvertes.fr/hal-02916081/document","open_access":"1"}],"language":[{"iso":"eng"}],"_id":"29546","user_id":"87909","year":"2020","title":"The turnpike property in maximization of microbial metabolite production","status":"public","author":[{"full_name":"Maslovskaya, Sofya","first_name":"Sofya","last_name":"Maslovskaya","id":"87909"},{"last_name":"Caillau","first_name":"Jean-Baptiste","full_name":"Caillau, Jean-Baptiste"},{"full_name":"Djema, Walid","last_name":"Djema","first_name":"Walid"},{"full_name":"Giraldi, Laetitia","first_name":"Laetitia","last_name":"Giraldi"},{"first_name":"Jean-Luc","last_name":"Jean-Luc","full_name":"Jean-Luc, Jean-Luc"},{"full_name":"Pomet, Jean-Baptiste","first_name":"Jean-Baptiste","last_name":"Pomet"}],"conference":{"name":"IFAC 2020 - 21rst IFAC World Congress"},"date_updated":"2022-01-26T13:39:01Z"},{"page":"149-154","main_file_link":[{"url":"https://www.aclweb.org/anthology/2020.nlpcss-1.16.pdf"}],"language":[{"iso":"eng"}],"_id":"3776","user_id":"82920","status":"public","year":"2020","title":"Analyzing Political Bias and Unfairness in News Articles at Different Levels of Granularity","author":[{"last_name":"Chen","first_name":"Wei-Fan","full_name":"Chen, Wei-Fan","id":"82920"},{"full_name":"Al-Khatib, Khalid","last_name":"Al-Khatib","first_name":"Khalid"},{"id":"3900","first_name":"Henning","last_name":"Wachsmuth","full_name":"Wachsmuth, Henning"},{"full_name":"Stein, Benno","last_name":"Stein","first_name":"Benno"}],"date_updated":"2022-05-09T15:03:31Z","date_created":"2018-08-02T11:40:56Z","type":"conference","department":[{"_id":"600"}],"publication":"Proceedings of the Fourth Workshop on Natural Language Processing and Computational Social Science","citation":{"short":"W.-F. Chen, K. Al-Khatib, H. Wachsmuth, B. Stein, in: Proceedings of the Fourth Workshop on Natural Language Processing and Computational Social Science, 2020, pp. 149–154.","chicago":"Chen, Wei-Fan, Khalid Al-Khatib, Henning Wachsmuth, and Benno Stein. “Analyzing Political Bias and Unfairness in News Articles at Different Levels of Granularity.” In <i>Proceedings of the Fourth Workshop on Natural Language Processing and Computational Social Science</i>, 149–54, 2020.","ieee":"W.-F. Chen, K. Al-Khatib, H. Wachsmuth, and B. Stein, “Analyzing Political Bias and Unfairness in News Articles at Different Levels of Granularity,” in <i>Proceedings of the Fourth Workshop on Natural Language Processing and Computational Social Science</i>, 2020, pp. 149–154.","apa":"Chen, W.-F., Al-Khatib, K., Wachsmuth, H., &#38; Stein, B. (2020). Analyzing Political Bias and Unfairness in News Articles at Different Levels of Granularity. <i>Proceedings of the Fourth Workshop on Natural Language Processing and Computational Social Science</i>, 149–154.","bibtex":"@inproceedings{Chen_Al-Khatib_Wachsmuth_Stein_2020, title={Analyzing Political Bias and Unfairness in News Articles at Different Levels of Granularity}, booktitle={Proceedings of the Fourth Workshop on Natural Language Processing and Computational Social Science}, author={Chen, Wei-Fan and Al-Khatib, Khalid and Wachsmuth, Henning and Stein, Benno}, year={2020}, pages={149–154} }","ama":"Chen W-F, Al-Khatib K, Wachsmuth H, Stein B. Analyzing Political Bias and Unfairness in News Articles at Different Levels of Granularity. In: <i>Proceedings of the Fourth Workshop on Natural Language Processing and Computational Social Science</i>. ; 2020:149-154.","mla":"Chen, Wei-Fan, et al. “Analyzing Political Bias and Unfairness in News Articles at Different Levels of Granularity.” <i>Proceedings of the Fourth Workshop on Natural Language Processing and Computational Social Science</i>, 2020, pp. 149–54."},"project":[{"_id":"1","name":"SFB 901: SFB 901"},{"name":"SFB 901 - B: SFB 901 - Project Area B","_id":"3"},{"_id":"9","name":"SFB 901 - B1: SFB 901 - Subproject B1"}]},{"status":"public","year":"2020","title":"Task Proposal: Abstractive Snippet Generation for Web Pages","author":[{"full_name":"Syed, Shahbaz","last_name":"Syed","first_name":"Shahbaz"},{"id":"82920","first_name":"Wei-Fan","last_name":"Chen","full_name":"Chen, Wei-Fan"},{"full_name":"Hagen, Matthias","first_name":"Matthias","last_name":"Hagen"},{"full_name":"Stein, Benno","last_name":"Stein","first_name":"Benno"},{"id":"3900","full_name":"Wachsmuth, Henning","last_name":"Wachsmuth","first_name":"Henning"},{"first_name":"Martin","last_name":"Potthast","full_name":"Potthast, Martin"}],"date_updated":"2022-05-09T15:03:11Z","page":"237-241","main_file_link":[{"url":"https://www.aclweb.org/anthology/2020.inlg-1.30.pdf"}],"language":[{"iso":"eng"}],"_id":"20137","user_id":"82920","publication":"Proceedings of the 13th International Conference on Natural Language Generation (INLG 2020)","citation":{"mla":"Syed, Shahbaz, et al. “Task Proposal: Abstractive Snippet Generation for Web Pages.” <i>Proceedings of the 13th International Conference on Natural Language Generation (INLG 2020)</i>, 2020, pp. 237–41.","bibtex":"@inproceedings{Syed_Chen_Hagen_Stein_Wachsmuth_Potthast_2020, title={Task Proposal: Abstractive Snippet Generation for Web Pages}, booktitle={Proceedings of the 13th International Conference on Natural Language Generation (INLG 2020)}, author={Syed, Shahbaz and Chen, Wei-Fan and Hagen, Matthias and Stein, Benno and Wachsmuth, Henning and Potthast, Martin}, year={2020}, pages={237–241} }","ama":"Syed S, Chen W-F, Hagen M, Stein B, Wachsmuth H, Potthast M. 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Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, pp. 917–941, 2020, doi: <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>.","apa":"Küster, B., &#38; Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>, <i>378</i>(2), 917–941. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>"},"user_id":"49178","volume":378,"page":"917-941","_id":"31264","publisher":"Springer Science and Business Media LLC","status":"public","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"date_created":"2022-05-17T12:06:06Z","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\ne 3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>≠</mml:mo>\r\n                    <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers.\r\n</jats:p>","lang":"eng"}],"publication":"Communications in Mathematical Physics","issue":"2","doi":"10.1007/s00220-020-03793-2","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2022-05-19T10:13:48Z","intvolume":"       378","year":"2020","title":"Pollicott-Ruelle Resonant States and Betti Numbers","publication_identifier":{"issn":["0010-3616","1432-0916"]},"author":[{"full_name":"Küster, Benjamin","last_name":"Küster","first_name":"Benjamin"},{"full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias","last_name":"Weich","id":"49178"}]},{"status":"public","page":"1353-1356","_id":"31372","publisher":"WTM-Verlag","user_id":"32202","editor":[{"full_name":"Siller, Hans-Stefan","first_name":"Hans-Stefan","last_name":"Siller"},{"full_name":"Weigel, Wolfgang","first_name":"Wolfgang","last_name":"Weigel"},{"last_name":"Wörler","first_name":"Jan Franz","full_name":"Wörler, Jan Franz"}],"citation":{"ama":"Hoffmann M. 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Rezension: Andrew Granville und Jenniver Granville: Prime Supects: The Anatomy of Integers and Permutations. <i>Mathematische Semesterberichte</i>. 2020;67:119–121. doi:<a href=\"https://doi.org/10.1007/s00591-019-00269-w\">10.1007/s00591-019-00269-w</a>","short":"M. Hoffmann, Mathematische Semesterberichte 67 (2020) 119–121.","bibtex":"@article{Hoffmann_2020, title={Rezension: Andrew Granville und Jenniver Granville: Prime Supects: The Anatomy of Integers and Permutations}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-019-00269-w\">10.1007/s00591-019-00269-w</a>}, journal={Mathematische Semesterberichte}, author={Hoffmann, Max}, year={2020}, pages={119–121} }","mla":"Hoffmann, Max. “Rezension: Andrew Granville und Jenniver Granville: Prime Supects: The Anatomy of Integers and Permutations.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 119–121, doi:<a href=\"https://doi.org/10.1007/s00591-019-00269-w\">10.1007/s00591-019-00269-w</a>.","apa":"Hoffmann, M. 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Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von Escher über Möbius zu Penrose. <i>Mathematische Semesterberichte</i>. 2020;67:115–116. doi:<a href=\"https://doi.org/10.1007/s00591-019-00264-1\">10.1007/s00591-019-00264-1</a>","bibtex":"@article{Hoffmann_2020, title={Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von Escher über Möbius zu Penrose}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-019-00264-1\">10.1007/s00591-019-00264-1</a>}, journal={Mathematische Semesterberichte}, author={Hoffmann, Max}, year={2020}, pages={115–116} }","mla":"Hoffmann, Max. “Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von Escher über Möbius zu Penrose.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 115–116, doi:<a href=\"https://doi.org/10.1007/s00591-019-00264-1\">10.1007/s00591-019-00264-1</a>.","short":"M. Hoffmann, Mathematische Semesterberichte 67 (2020) 115–116.","chicago":"Hoffmann, Max. “Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von Escher über Möbius zu Penrose.” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-019-00264-1\">https://doi.org/10.1007/s00591-019-00264-1</a>.","apa":"Hoffmann, M. (2020). Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von Escher über Möbius zu Penrose. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 115–116). <a href=\"https://doi.org/10.1007/s00591-019-00264-1\">https://doi.org/10.1007/s00591-019-00264-1</a>","ieee":"M. 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