[{"author":[{"id":"43136","last_name":"Koldewey","orcid":"https://orcid.org/0000-0001-7992-6399","full_name":"Koldewey, Christian","first_name":"Christian"},{"orcid":"https://orcid.org/0000-0001-6034-4399","full_name":"Fichtler, Timm","first_name":"Timm","id":"66731","last_name":"Fichtler"},{"first_name":"Michel","full_name":"Scholtysik, Michel","last_name":"Scholtysik","id":"50562"},{"last_name":"Biehler","full_name":"Biehler, Jan","first_name":"Jan"},{"last_name":"Schreiner","full_name":"Schreiner, Nick","first_name":"Nick"},{"last_name":"Sommer","full_name":"Sommer, Franziska","first_name":"Franziska"},{"last_name":"Schacht","first_name":"Maximilian","full_name":"Schacht, Maximilian"},{"last_name":"Kaufmann","first_name":"Jonas","full_name":"Kaufmann, Jonas"},{"first_name":"Martin","full_name":"Rabe, Martin","last_name":"Rabe"},{"last_name":"Sedlmeier","full_name":"Sedlmeier, Joachim","first_name":"Joachim"},{"last_name":"Dumitrescu","id":"16190","first_name":"Roman","full_name":"Dumitrescu, Roman"}],"keyword":["Digital Servitization","Transformation","Capabilities","Maturity","Smart Services"],"department":[{"_id":"563"},{"_id":"241"}],"status":"public","date_created":"2023-11-06T15:31:32Z","abstract":[{"lang":"eng","text":"Digital Servitization is one of the significant trends affecting the manufacturing industry. Companies try to tackle challenges regarding their differentiation and profitability using digital services. One specific type of digital services are smart services, which are digital services built on data from smart products. Introducing these kinds of offerings into the portfolio of manufacturing companies is not trivial. Moreover, they require conscious action to align all relevant capabilities to realize the respective business goals. However, what capabilities are generally relevant for smart services remains opaque. We conducted a systematic literature review to identify them and extended the results through an interview study. Our analysis results in 78 capabilities clustered among 12 principles and six dimensions. These results provide significant support for the smart service transformation of manufacturing companies and for structuring the research field of smart services."}],"user_id":"66731","title":"Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice","language":[{"iso":"eng"}],"type":"conference","citation":{"mla":"Koldewey, Christian, et al. Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice. 2024.","bibtex":"@inproceedings{Koldewey_Fichtler_Scholtysik_Biehler_Schreiner_Sommer_Schacht_Kaufmann_Rabe_Sedlmeier_et al._2024, title={Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice}, author={Koldewey, Christian and Fichtler, Timm and Scholtysik, Michel and Biehler, Jan and Schreiner, Nick and Sommer, Franziska and Schacht, Maximilian and Kaufmann, Jonas and Rabe, Martin and Sedlmeier, Joachim and et al.}, year={2024} }","ama":"Koldewey C, Fichtler T, Scholtysik M, et al. Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice. In: ; 2024.","apa":"Koldewey, C., Fichtler, T., Scholtysik, M., Biehler, J., Schreiner, N., Sommer, F., Schacht, M., Kaufmann, J., Rabe, M., Sedlmeier, J., & Dumitrescu, R. (2024). Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice. Hawaii International Conference on System Sciences, Hawaii.","chicago":"Koldewey, Christian, Timm Fichtler, Michel Scholtysik, Jan Biehler, Nick Schreiner, Franziska Sommer, Maximilian Schacht, et al. “Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice,” 2024.","ieee":"C. Koldewey et al., “Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice,” presented at the Hawaii International Conference on System Sciences, Hawaii, 2024.","short":"C. Koldewey, T. Fichtler, M. Scholtysik, J. Biehler, N. Schreiner, F. Sommer, M. Schacht, J. Kaufmann, M. Rabe, J. Sedlmeier, R. Dumitrescu, in: 2024."},"year":"2024","date_updated":"2023-11-06T15:40:33Z","_id":"48632","conference":{"location":"Hawaii","start_date":"2024-01-03","name":"Hawaii International Conference on System Sciences","end_date":"2024-01-06"}},{"doi":"10.48550/arXiv.2212.12964","date_updated":"2023-11-22T08:50:06Z","_id":"47275","type":"journal_article","citation":{"ieee":"F. Herbert et al., “Digital Security -- A Question of Perspective. A Large-Scale Telephone Survey with Four At-Risk User Groups,” IEEE Symposium on Security and Privacy. IEEE, New York, NY, USA, 2024, doi: 10.48550/arXiv.2212.12964.","short":"F. Herbert, S. Becker, A. Buckmann, M. Kowalewski, J. Hielscher, Y. Acar, M. Dürmuth, M.A. Sasse, Y. Zou, IEEE Symposium on Security and Privacy. IEEE, New York, NY, USA (2024).","bibtex":"@article{Herbert_Becker_Buckmann_Kowalewski_Hielscher_Acar_Dürmuth_Sasse_Zou_2024, title={Digital Security -- A Question of Perspective. A Large-Scale Telephone Survey with Four At-Risk User Groups}, DOI={10.48550/arXiv.2212.12964}, journal={IEEE Symposium on Security and Privacy. IEEE, New York, NY, USA}, author={Herbert, Franziska and Becker, Steffen and Buckmann, Annalina and Kowalewski, Marvin and Hielscher, Jonas and Acar, Yasemin and Dürmuth, Markus and Sasse, M. Angela and Zou, Yixin}, year={2024} }","mla":"Herbert, Franziska, et al. “Digital Security -- A Question of Perspective. A Large-Scale Telephone Survey with Four At-Risk User Groups.” IEEE Symposium on Security and Privacy. IEEE, New York, NY, USA, 2024, doi:10.48550/arXiv.2212.12964.","ama":"Herbert F, Becker S, Buckmann A, et al. Digital Security -- A Question of Perspective. A Large-Scale Telephone Survey with Four At-Risk User Groups. IEEE Symposium on Security and Privacy IEEE, New York, NY, USA. 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Analysis and Simulation of a Photonic Multiband FMCW Radar Sensor System using Nyquist Pulses. In: German Microwave Conference (GeMiC) . ; 2024.","apa":"Kruse, S., Schwabe, T., Kneuper, P., Kurz, H. G., Meinecke, M.-M., & Scheytt, C. (2024). Analysis and Simulation of a Photonic Multiband FMCW Radar Sensor System using Nyquist Pulses. German Microwave Conference (GeMiC) .","chicago":"Kruse, Stephan, Tobias Schwabe, Pascal Kneuper, Heiko G. Kurz, March-Michael Meinecke, and Christoph Scheytt. “Analysis and Simulation of a Photonic Multiband FMCW Radar Sensor System Using Nyquist Pulses.” In German Microwave Conference (GeMiC) . 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Learning of discrete models of variational PDEs from data. Chaos. 2024;34(1). doi:10.1063/5.0172287","apa":"Offen, C., & Ober-Blöbaum, S. (2024). Learning of discrete models of variational PDEs from data. Chaos, 34(1), Article 013104. https://doi.org/10.1063/5.0172287","ieee":"C. Offen and S. Ober-Blöbaum, “Learning of discrete models of variational PDEs from data,” Chaos, vol. 34, no. 1, Art. no. 013104, 2024, doi: 10.1063/5.0172287.","short":"C. Offen, S. Ober-Blöbaum, Chaos 34 (2024)."},"issue":"1","article_number":"013104","intvolume":" 34","_id":"46469","date_created":"2023-08-10T08:24:48Z","has_accepted_license":"1","status":"public","volume":34,"file":[{"content_type":"application/pdf","date_updated":"2024-01-09T10:48:38Z","relation":"main_file","file_size":13222105,"creator":"coffen","file_id":"50376","title":"Accepted Manuscript Chaos","access_level":"open_access","file_name":"Accepted manuscript with AIP banner CHA23-AR-01370.pdf","date_created":"2024-01-09T10:48:38Z"},{"title":"Learning of discrete models of variational PDEs from data","file_id":"50390","creator":"coffen","file_size":12960884,"relation":"main_file","description":"We show how to learn discrete field theories from observational data of fields on a space-time lattice. For this, we train\na neural network model of a discrete Lagrangian density such that the discrete Euler–Lagrange equations are consistent\nwith the given training data. We, thus, obtain a structure-preserving machine learning architecture. Lagrangian\ndensities are not uniquely defined by the solutions of a field theory. We introduce a technique to derive regularisers for\nthe training process which optimise numerical regularity of the discrete field theory. Minimisation of the regularisers\nguarantees that close to the training data the discrete field theory behaves robust and efficient when used in numerical\nsimulations. Further, we show how to identify structurally simple solutions of the underlying continuous field theory\nsuch as travelling waves. This is possible even when travelling waves are not present in the training data. This is\ncompared to data-driven model order reduction based approaches, which struggle to identify suitable latent spaces\ncontaining structurally simple solutions when these are not present in the training data. Ideas are demonstrated on\nexamples based on the wave equation and the Schrödinger equation.","content_type":"application/pdf","date_updated":"2024-01-09T11:19:49Z","file_name":"LDensityPDE_AIP.pdf","date_created":"2024-01-09T11:19:49Z","access_level":"open_access"}],"file_date_updated":"2024-01-09T11:19:49Z","publication":"Chaos","publisher":"AIP Publishing","author":[{"full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","first_name":"Christian","id":"85279","last_name":"Offen"},{"id":"16494","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","first_name":"Sina"}],"quality_controlled":"1","user_id":"85279","ddc":["510"],"abstract":[{"text":"We show how to learn discrete field theories from observational data of fields on a space-time lattice. For this, we train a neural network model of a discrete Lagrangian density such that the discrete Euler--Lagrange equations are consistent with the given training data. We, thus, obtain a structure-preserving machine learning architecture. Lagrangian densities are not uniquely defined by the solutions of a field theory. We introduce a technique to derive regularisers for the training process which optimise numerical regularity of the discrete field theory. Minimisation of the regularisers guarantees that close to the training data the discrete field theory behaves robust and efficient when used in numerical simulations. Further, we show how to identify structurally simple solutions of the underlying continuous field theory such as travelling waves. This is possible even when travelling waves are not present in the training data. This is compared to data-driven model order reduction based approaches, which struggle to identify suitable latent spaces containing structurally simple solutions when these are not present in the training data. Ideas are demonstrated on examples based on the wave equation and the Schrödinger equation. 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ACM, 2024.","apa":"Hu, H., Liu, F., Pei, Q., Yuan, Y., Xu, Z., & Wang, L. (2024). 𝜆Grapher: A Resource-Efficient Serverless System for GNN Serving through Graph Sharing. Proceedings of the ACM Web Conference (WWW). ACM Web Conference (WWW), Singapore.","ama":"Hu H, Liu F, Pei Q, Yuan Y, Xu Z, Wang L. 𝜆Grapher: A Resource-Efficient Serverless System for GNN Serving through Graph Sharing. In: Proceedings of the ACM Web Conference (WWW). ACM; 2024.","mla":"Hu, Haichuan, et al. “𝜆Grapher: A Resource-Efficient Serverless System for GNN Serving through Graph Sharing.” Proceedings of the ACM Web Conference (WWW), ACM, 2024.","bibtex":"@inproceedings{Hu_Liu_Pei_Yuan_Xu_Wang_2024, title={𝜆Grapher: A Resource-Efficient Serverless System for GNN Serving through Graph Sharing}, booktitle={Proceedings of the ACM Web Conference (WWW)}, publisher={ACM}, author={Hu, Haichuan and Liu, Fangming and Pei, Qiangyu and Yuan, Yongjie and Xu, Zichen and Wang, Lin}, year={2024} }","short":"H. Hu, F. Liu, Q. Pei, Y. Yuan, Z. Xu, L. Wang, in: Proceedings of the ACM Web Conference (WWW), ACM, 2024.","ieee":"H. Hu, F. Liu, Q. Pei, Y. Yuan, Z. Xu, and L. Wang, “𝜆Grapher: A Resource-Efficient Serverless System for GNN Serving through Graph Sharing,” presented at the ACM Web Conference (WWW), Singapore, 2024."},"year":"2024","language":[{"iso":"eng"}],"conference":{"location":"Singapore","start_date":"2024-05-13","name":"ACM Web Conference (WWW)","end_date":"2024-05-17"},"_id":"50807","date_updated":"2024-01-23T20:35:20Z"},{"user_id":"47427","title":"Extended Dynamic Mode Decomposition: Sharp bounds on the sample efficiency","abstract":[{"text":"We rigorously derive novel and sharp finite-data error bounds for highly\r\nsample-efficient Extended Dynamic Mode Decomposition (EDMD) for both i.i.d. and\r\nergodic sampling. In particular, we show all results in a very general setting\r\nremoving most of the typically imposed assumptions such that, among others,\r\ndiscrete- and continuous-time stochastic processes as well as nonlinear partial\r\ndifferential equations are contained in the considered system class. Besides\r\nshowing an exponential rate for i.i.d. sampling, we prove, to the best of our\r\nknowledge, the first superlinear convergence rates for ergodic sampling of\r\ndeterministic systems. We verify sharpness of the derived error bounds by\r\nconducting numerical simulations for highly-complex applications from molecular\r\ndynamics and chaotic flame propagation.","lang":"eng"}],"external_id":{"arxiv":["2402.02494"]},"status":"public","date_created":"2024-02-06T08:52:21Z","author":[{"full_name":"Philipp, Friedrich M.","first_name":"Friedrich M.","last_name":"Philipp"},{"first_name":"Manuel","full_name":"Schaller, Manuel","last_name":"Schaller"},{"full_name":"Boshoff, Septimus","first_name":"Septimus","last_name":"Boshoff"},{"first_name":"Sebastian","orcid":"0000-0002-3389-793X","full_name":"Peitz, Sebastian","last_name":"Peitz","id":"47427"},{"last_name":"Nüske","first_name":"Feliks","full_name":"Nüske, Feliks"},{"last_name":"Worthmann","first_name":"Karl","full_name":"Worthmann, Karl"}],"department":[{"_id":"655"}],"publication":"arXiv:2402.02494","oa":"1","date_updated":"2024-02-06T08:52:44Z","_id":"51160","language":[{"iso":"eng"}],"year":"2024","citation":{"apa":"Philipp, F. M., Schaller, M., Boshoff, S., Peitz, S., Nüske, F., & Worthmann, K. (2024). Extended Dynamic Mode Decomposition: Sharp bounds on the sample efficiency. In arXiv:2402.02494.","ama":"Philipp FM, Schaller M, Boshoff S, Peitz S, Nüske F, Worthmann K. Extended Dynamic Mode Decomposition: Sharp bounds on the sample efficiency. arXiv:240202494. Published online 2024.","chicago":"Philipp, Friedrich M., Manuel Schaller, Septimus Boshoff, Sebastian Peitz, Feliks Nüske, and Karl Worthmann. “Extended Dynamic Mode Decomposition: Sharp Bounds on the Sample Efficiency.” ArXiv:2402.02494, 2024.","mla":"Philipp, Friedrich M., et al. “Extended Dynamic Mode Decomposition: Sharp Bounds on the Sample Efficiency.” ArXiv:2402.02494, 2024.","bibtex":"@article{Philipp_Schaller_Boshoff_Peitz_Nüske_Worthmann_2024, title={Extended Dynamic Mode Decomposition: Sharp bounds on the sample efficiency}, journal={arXiv:2402.02494}, author={Philipp, Friedrich M. and Schaller, Manuel and Boshoff, Septimus and Peitz, Sebastian and Nüske, Feliks and Worthmann, Karl}, year={2024} }","short":"F.M. Philipp, M. Schaller, S. Boshoff, S. Peitz, F. Nüske, K. Worthmann, ArXiv:2402.02494 (2024).","ieee":"F. M. Philipp, M. Schaller, S. Boshoff, S. Peitz, F. Nüske, and K. Worthmann, “Extended Dynamic Mode Decomposition: Sharp bounds on the sample efficiency,” arXiv:2402.02494. 2024."},"type":"preprint","main_file_link":[{"url":"https://arxiv.org/pdf/2402.02494.pdf","open_access":"1"}]},{"title":"A note on the convergence of deterministic gradient sampling in nonsmooth optimization","user_id":"32643","abstract":[{"lang":"eng","text":"AbstractApproximation of subdifferentials is one of the main tasks when computing descent directions for nonsmooth optimization problems. In this article, we propose a bisection method for weakly lower semismooth functions which is able to compute new subgradients that improve a given approximation in case a direction with insufficient descent was computed. Combined with a recently proposed deterministic gradient sampling approach, this yields a deterministic and provably convergent way to approximate subdifferentials for computing descent directions."}],"publication_status":"published","publication_identifier":{"issn":["0926-6003","1573-2894"]},"date_created":"2024-02-07T07:23:23Z","status":"public","publication":"Computational Optimization and Applications","keyword":["Applied Mathematics","Computational Mathematics","Control and Optimization"],"department":[{"_id":"101"}],"publisher":"Springer Science and Business Media LLC","author":[{"full_name":"Gebken, Bennet","first_name":"Bennet","id":"32643","last_name":"Gebken"}],"doi":"10.1007/s10589-024-00552-0","_id":"51208","date_updated":"2024-02-08T08:05:54Z","citation":{"ieee":"B. Gebken, “A note on the convergence of deterministic gradient sampling in nonsmooth optimization,” Computational Optimization and Applications, 2024, doi: 10.1007/s10589-024-00552-0.","short":"B. Gebken, Computational Optimization and Applications (2024).","mla":"Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” Computational Optimization and Applications, Springer Science and Business Media LLC, 2024, doi:10.1007/s10589-024-00552-0.","bibtex":"@article{Gebken_2024, title={A note on the convergence of deterministic gradient sampling in nonsmooth optimization}, DOI={10.1007/s10589-024-00552-0}, journal={Computational Optimization and Applications}, publisher={Springer Science and Business Media LLC}, author={Gebken, Bennet}, year={2024} }","ama":"Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. Published online 2024. doi:10.1007/s10589-024-00552-0","apa":"Gebken, B. (2024). A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. https://doi.org/10.1007/s10589-024-00552-0","chicago":"Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” Computational Optimization and Applications, 2024. https://doi.org/10.1007/s10589-024-00552-0."},"year":"2024","type":"journal_article","language":[{"iso":"eng"}]},{"date_updated":"2024-02-11T19:56:35Z","_id":"51204","year":"2024","type":"preprint","citation":{"chicago":"Lutsko, Christopher, Tobias Weich, and Lasse Lennart Wolf. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally Symmetric Spaces.” ArXiv:2402.02530, 2024.","ama":"Lutsko C, Weich T, Wolf LL. Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces. arXiv:240202530. Published online 2024.","short":"C. Lutsko, T. Weich, L.L. Wolf, ArXiv:2402.02530 (2024).","apa":"Lutsko, C., Weich, T., & Wolf, L. L. (2024). Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces. In arXiv:2402.02530.","bibtex":"@article{Lutsko_Weich_Wolf_2024, title={Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces}, journal={arXiv:2402.02530}, author={Lutsko, Christopher and Weich, Tobias and Wolf, Lasse Lennart}, year={2024} }","mla":"Lutsko, Christopher, et al. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally Symmetric Spaces.” ArXiv:2402.02530, 2024.","ieee":"C. Lutsko, T. Weich, and L. L. Wolf, “Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces,” arXiv:2402.02530. 2024."},"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Given a real semisimple connected Lie group $G$ and a discrete torsion-free\r\nsubgroup $\\Gamma < G$ we prove a precise connection between growth rates of the\r\ngroup $\\Gamma$, polyhedral bounds on the joint spectrum of the ring of\r\ninvariant differential operators, and the decay of matrix coefficients. In\r\nparticular, this allows us to completely characterize temperedness of\r\n$L^2(\\Gamma\\backslash G)$ in this general setting."}],"external_id":{"arxiv":["2402.02530"]},"title":"Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces","user_id":"49178","author":[{"full_name":"Lutsko, Christopher","first_name":"Christopher","last_name":"Lutsko"},{"last_name":"Weich","first_name":"Tobias","full_name":"Weich, Tobias"},{"id":"45027","last_name":"Wolf","full_name":"Wolf, Lasse Lennart","first_name":"Lasse Lennart"}],"publication":"arXiv:2402.02530","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"status":"public","date_created":"2024-02-06T20:35:36Z"},{"volume":286,"date_created":"2024-02-18T12:31:28Z","status":"public","publication":"Journal of Functional Analysis","keyword":["Analysis"],"author":[{"first_name":"David","full_name":"Hasler, David","last_name":"Hasler"},{"first_name":"Benjamin","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","id":"99427"},{"last_name":"Siebert","full_name":"Siebert, Oliver","first_name":"Oliver"}],"publisher":"Elsevier BV","user_id":"99427","extern":"1","type":"journal_article","citation":{"ieee":"D. Hasler, B. Hinrichs, and O. Siebert, “Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively,” Journal of Functional Analysis, vol. 286, no. 7, Art. no. 110319, 2024, doi: 10.1016/j.jfa.2024.110319.","short":"D. Hasler, B. Hinrichs, O. Siebert, Journal of Functional Analysis 286 (2024).","mla":"Hasler, David, et al. “Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively.” Journal of Functional Analysis, vol. 286, no. 7, 110319, Elsevier BV, 2024, doi:10.1016/j.jfa.2024.110319.","bibtex":"@article{Hasler_Hinrichs_Siebert_2024, title={Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively}, volume={286}, DOI={10.1016/j.jfa.2024.110319}, number={7110319}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}, year={2024} }","ama":"Hasler D, Hinrichs B, Siebert O. Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively. Journal of Functional Analysis. 2024;286(7). doi:10.1016/j.jfa.2024.110319","apa":"Hasler, D., Hinrichs, B., & Siebert, O. (2024). Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively. Journal of Functional Analysis, 286(7), Article 110319. https://doi.org/10.1016/j.jfa.2024.110319","chicago":"Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively.” Journal of Functional Analysis 286, no. 7 (2024). https://doi.org/10.1016/j.jfa.2024.110319."},"year":"2024","article_number":"110319","issue":"7","intvolume":" 286","_id":"51374","publication_identifier":{"issn":["0022-1236"]},"publication_status":"published","department":[{"_id":"799"}],"title":"Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively","external_id":{"arxiv":["2302.06998"]},"language":[{"iso":"eng"}],"doi":"10.1016/j.jfa.2024.110319","date_updated":"2024-02-18T12:32:23Z"},{"page":"1-36","citation":{"ama":"Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonaces of Anosov actions. J Europ Math Soc. Published online 2024:1-36.","apa":"Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., & Hilgert, J. (2024). Ruelle-Taylor resonaces of Anosov actions. J. Europ. Math. Soc., 1–36.","chicago":"Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim Hilgert. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc., 2024, 1–36.","mla":"Weich, Tobias, et al. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc., 2024, pp. 1–36.","bibtex":"@article{Weich_Guedes Bonthonneau_Guillarmou_Hilgert_2024, title={Ruelle-Taylor resonaces of Anosov actions}, journal={J. Europ. Math. Soc.}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin and Hilgert, Joachim}, year={2024}, pages={1–36} }","short":"T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.","ieee":"T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor resonaces of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024."},"type":"journal_article","year":"2024","language":[{"iso":"eng"}],"oa":"1","_id":"32101","date_updated":"2024-02-19T06:25:13Z","publication_status":"published","date_created":"2022-06-22T09:56:51Z","status":"public","has_accepted_license":"1","file_date_updated":"2022-06-22T09:56:47Z","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"publication":"J. Europ. Math. Soc.","author":[{"last_name":"Weich","id":"49178","first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias"},{"full_name":"Guedes Bonthonneau, Yannick","first_name":"Yannick","last_name":"Guedes Bonthonneau"},{"full_name":"Guillarmou, Colin","first_name":"Colin","last_name":"Guillarmou"},{"first_name":"Joachim","full_name":"Hilgert, Joachim","last_name":"Hilgert","id":"220"}],"file":[{"access_level":"open_access","date_created":"2022-06-22T09:56:47Z","file_name":"2007.14275.pdf","relation":"main_file","date_updated":"2022-06-22T09:56:47Z","content_type":"application/pdf","file_id":"32102","creator":"weich","file_size":796410}],"ddc":["510"],"title":"Ruelle-Taylor resonaces of Anosov actions","user_id":"49063"},{"type":"preprint","year":"2024","citation":{"mla":"Hilgert, Joachim. Quantum-Classical Correspondences for Locally Symmetric Spaces. 2024.","bibtex":"@article{Hilgert_2024, title={Quantum-Classical Correspondences for Locally Symmetric Spaces}, author={Hilgert, Joachim}, year={2024} }","apa":"Hilgert, J. (2024). Quantum-Classical Correspondences for Locally Symmetric Spaces.","ama":"Hilgert J. Quantum-Classical Correspondences for Locally Symmetric Spaces. Published online 2024.","chicago":"Hilgert, Joachim. “Quantum-Classical Correspondences for Locally Symmetric Spaces,” 2024.","ieee":"J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces.” 2024.","short":"J. Hilgert, (2024)."},"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/pdf/2303.00578.pdf","open_access":"1"}],"oa":"1","_id":"51501","date_updated":"2024-02-19T10:32:07Z","publication_status":"published","status":"public","date_created":"2024-02-19T10:31:51Z","author":[{"full_name":"Hilgert, Joachim","first_name":"Joachim","id":"220","last_name":"Hilgert"}],"department":[{"_id":"91"}],"title":"Quantum-Classical Correspondences for Locally Symmetric Spaces","user_id":"49063"},{"date_created":"2023-07-12T06:35:58Z","status":"public","publication_status":"published","publication":"Journal of Optimization Theory and Applications","department":[{"_id":"101"},{"_id":"655"}],"author":[{"id":"56399","last_name":"Sonntag","full_name":"Sonntag, Konstantin","orcid":"https://orcid.org/0000-0003-3384-3496","first_name":"Konstantin"},{"id":"47427","last_name":"Peitz","full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","first_name":"Sebastian"}],"publisher":"Springer","user_id":"56399","title":"Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems","abstract":[{"lang":"eng","text":"We derive efficient algorithms to compute weakly Pareto optimal solutions for smooth, convex and unconstrained multiobjective optimization problems in general Hilbert spaces. To this end, we define a novel inertial gradient-like dynamical system in the multiobjective setting, which trajectories converge weakly to Pareto optimal solutions. Discretization of this system yields an inertial multiobjective algorithm which generates sequences that converge weakly to Pareto optimal solutions. We employ Nesterov acceleration to define an algorithm with an improved convergence rate compared to the plain multiobjective steepest descent method (Algorithm 1). A further improvement in terms of efficiency is achieved by avoiding the solution of a quadratic subproblem to compute a common step direction for all objective functions, which is usually required in first-order methods. Using a different discretization of our inertial gradient-like dynamical system, we obtain an accelerated multiobjective gradient method that does not require the solution of a subproblem in each step (Algorithm 2). While this algorithm does not converge in general, it yields good results on test problems while being faster than standard steepest descent."}],"language":[{"iso":"eng"}],"citation":{"ieee":"K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems,” Journal of Optimization Theory and Applications, 2024, doi: 10.1007/s10957-024-02389-3.","short":"K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).","mla":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal of Optimization Theory and Applications, Springer, 2024, doi:10.1007/s10957-024-02389-3.","bibtex":"@article{Sonntag_Peitz_2024, title={Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems}, DOI={10.1007/s10957-024-02389-3}, journal={Journal of Optimization Theory and Applications}, publisher={Springer}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024} }","ama":"Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications. Published online 2024. doi:10.1007/s10957-024-02389-3","apa":"Sonntag, K., & Peitz, S. (2024). Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications. https://doi.org/10.1007/s10957-024-02389-3","chicago":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal of Optimization Theory and Applications, 2024. https://doi.org/10.1007/s10957-024-02389-3."},"year":"2024","type":"journal_article","main_file_link":[{"url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02389-3.pdf","open_access":"1"}],"oa":"1","doi":"10.1007/s10957-024-02389-3","date_updated":"2024-02-21T10:13:33Z","_id":"46019"}]