M.Sc. Till Schubert

Ph.D. Student

Contact:
Email: schubert@geod.uni-bonn.de
Tel: +49 – 228 – 73 – 3578
Fax: +49 – 228 – 73 – 6486
Office: Nussallee 17, 2. OG, room 2.008

Address:
University of Bonn
Theoretical Geodesy, IGG
Nussallee 17
53115 Bonn

Links

Research interests

  • Time series analysis
  • Geostatistics and stochastic processes
  • Signal processing
  • Computational geodesy
  • Gravity field determination

Short CV

Till Schubert started studying “Geodäsie und Geoinformation” at the University of Bonn in 2012. He finished his Master’s thesis in 2017. Since then he has been working as a Ph.D. student in the Theoretical Geodesy group.

Teaching activities

  • Lecture and practicals “Stochastische Prozesse”, since WS2023/2024
  • Lecture and practicals “Stochastic processes”, since WS2019/2020
  • Lecture and practicals “Advanced Data Analysis”, since SS2020
  • Practicals “Stochastische Prozesse”, WS2018/2019
  • Practicals “Robuste Parameterschätzung”, WS2017/2018
  • Seminar and practicals “Ausgewählte Kapitel der Signalverarbeitung”, SS2019

Paper and Presentations

List of Publications

2023

  • J. Korte, T. Schubert, J. M. Brockmann, and W. Schuh, “On the Estimation of Time Varying AR Processes.” {Berlin, Heidelberg}: Springer, 2023, p. 1–6. doi:10.1007/1345_2023_188
    [BibTeX] [Download PDF]
    @incollection{korte.etal_2023,
    title = {On the {{Estimation}} of {{Time Varying AR Processes}}},
    author = {Korte, Johannes and Schubert, Till and Brockmann, Jan Martin and Schuh, Wolf-Dieter},
    year = {2023},
    series = {International {{Association}} of {{Geodesy Symposia}}},
    pages = {1--6},
    publisher = {{Springer}},
    address = {{Berlin, Heidelberg}},
    doi = {10.1007/1345_2023_188},
    url = {https://doi.org/10.1007/1345_2023_188},
    urldate = {2023-05-02},
    langid = {english},
    keywords = {AR process,Motions of the roots,Non-stationarity,Time varying AR coefficients},
    file = {/home/jmb/pc/internetSettings/zotero/storage/P2ZJGUZZ/Korte et al. - On the Estimation of Time Varying AR Processes.pdf}
    }

  • T. Schubert and W. Schuh, “A Flexible Family of Compactly Supported Covariance Functions Based on Cutoff Polynomials,” in X Hotine-Marussi Symposium on Mathematical Geodesy, {Berlin, Heidelberg}, 2023, p. 1–9. doi:10.1007/1345_2023_200
    [BibTeX] [Download PDF]
    @inproceedings{schubert.schuh_2023,
    title = {A {{Flexible Family}} of {{Compactly Supported Covariance Functions Based}} on {{Cutoff Polynomials}}},
    booktitle = {X {{Hotine-Marussi Symposium}} on {{Mathematical Geodesy}}},
    author = {Schubert, Till and Schuh, Wolf-Dieter},
    year = {2023},
    series = {International {{Association}} of {{Geodesy Symposia}}},
    pages = {1--9},
    publisher = {{Springer}},
    address = {{Berlin, Heidelberg}},
    doi = {10.1007/1345_2023_200},
    url = {https://link.springer.com/10.1007/1345_2023_200},
    urldate = {2023-07-11},
    file = {/home/jmb/pc/internetSettings/zotero/storage/62TZSDDZ/Schubert und Schuh - 2023 - A Flexible Family of Compactly Supported Covarianc.pdf}
    }

  • W. Schuh, J. Korte, T. Schubert, and J. M. Brockmann, “Modeling of Inhomogeneous Spatio-Temporal Signals by Least Squares Collocation.” {Berlin, Heidelberg}: Springer Berlin Heidelberg, 2023. doi:10.1007/1345_2023_202
    [BibTeX] [Download PDF]
    @incollection{schuh.etal_2023,
    title = {Modeling of {{Inhomogeneous Spatio-Temporal Signals}} by {{Least Squares Collocation}}},
    author = {Schuh, Wolf-Dieter and Korte, Johannes and Schubert, Till and Brockmann, Jan Martin},
    year = {2023},
    publisher = {{Springer Berlin Heidelberg}},
    address = {{Berlin, Heidelberg}},
    doi = {10.1007/1345_2023_202},
    url = {https://link.springer.com/10.1007/1345_2023_202},
    urldate = {2023-07-11},
    file = {/home/jmb/pc/internetSettings/zotero/storage/2KJFSUV4/Schuh et al. - 2023 - Modeling of Inhomogeneous Spatio-Temporal Signals .pdf}
    }

2021

  • J. M. Brockmann, T. Schubert, and W. Schuh, “An Improved Model of the Earth’s Static Gravity Field Solely Derived from Reprocessed GOCE Data,” Surveys in Geophysics, 2021. doi:10.1007/s10712-020-09626-0
    [BibTeX] [Download PDF]
    @article{brockmann.etal_2021,
    title = {An {{Improved Model}} of the {{Earth}}'s {{Static Gravity Field Solely Derived}} from {{Reprocessed GOCE Data}}},
    author = {Brockmann, Jan Martin and Schubert, Till and Schuh, Wolf-Dieter},
    year = {2021},
    month = jan,
    journal = {Surveys in Geophysics},
    issn = {1573-0956},
    doi = {10.1007/s10712-020-09626-0},
    url = {https://doi.org/10.1007/s10712-020-09626-0},
    urldate = {2021-01-20},
    langid = {english},
    file = {/home/jmb/pc/internetSettings/zotero/storage/26BVIN27/Brockmann et al. - 2021 - An Improved Model of the Earth’s Static Gravity Fi.pdf}
    }

  • J. Korte, T. Schubert, J. M. Brockmann, and W. Schuh, “A Mathematical Investigation of a Continuous Covariance Function Fitting with Discrete Covariances of an AR Process,” International Conference on Time Series and Forecasting (ITISE 2021), Engineering Proceedings, vol. 5, iss. 1, p. 18, 2021. doi:10.3390/engproc2021005018
    [BibTeX] [Download PDF]
    @article{korte.etal_2021,
    title = {A {{Mathematical Investigation}} of a {{Continuous Covariance Function Fitting}} with {{Discrete Covariances}} of an {{AR Process}}},
    author = {Korte, Johannes and Schubert, Till and Brockmann, Jan Martin and Schuh, Wolf-Dieter},
    year = {2021},
    journal = {International Conference on Time Series and Forecasting (ITISE 2021), Engineering Proceedings},
    volume = {5},
    number = {1},
    pages = {18},
    publisher = {{Multidisciplinary Digital Publishing Institute}},
    doi = {10.3390/engproc2021005018},
    url = {https://www.mdpi.com/2673-4591/5/1/18},
    urldate = {2021-07-22},
    copyright = {http://creativecommons.org/licenses/by/3.0/},
    langid = {english},
    keywords = {AR process,continuous covariance function,Fourier transform,positive definiteness,power spectral density,signal prediction},
    file = {/home/jmb/pc/internetSettings/zotero/storage/JUUI5UGW/Korte et al. - 2021 - A Mathematical Investigation of a Continuous Covar.pdf}
    }

  • A. Kvas, J. M. Brockmann, S. Krauss, T. Schubert, T. Gruber, U. Meyer, T. {Mayer-Gürr}, W. Schuh, A. Jäggi, and R. Pail, “GOCO06s – a Satellite-Only Global Gravity Field Model,” Earth System Science Data, vol. 13, iss. 1, p. 99–118, 2021. doi:10.5194/essd-13-99-2021
    [BibTeX] [Download PDF]
    @article{kvas.etal_2021,
    title = {{{GOCO06s}} {\textendash} a Satellite-Only Global Gravity Field Model},
    author = {Kvas, Andreas and Brockmann, Jan Martin and Krauss, Sandro and Schubert, Till and Gruber, Thomas and Meyer, Ulrich and {Mayer-G{\"u}rr}, Torsten and Schuh, Wolf-Dieter and J{\"a}ggi, Adrian and Pail, Roland},
    year = {2021},
    month = jan,
    journal = {Earth System Science Data},
    volume = {13},
    number = {1},
    pages = {99--118},
    publisher = {{Copernicus GmbH}},
    issn = {1866-3508},
    doi = {10.5194/essd-13-99-2021},
    url = {https://essd.copernicus.org/articles/13/99/2021/},
    urldate = {2021-01-27},
    langid = {english},
    file = {/home/jmb/pc/internetSettings/zotero/storage/SFR4IICG/Kvas et al. - 2021 - GOCO06s – a satellite-only global gravity field mo.pdf}
    }

  • T. Schubert, J. M. Brockmann, J. Korte, and W. Schuh, “On the Family of Covariance Functions Based on ARMA Models,” Proceedings of The 7th International conference on Time Series and Forecasting (ITISE 2021), Engineering Proceedings, vol. 5, iss. 1, p. 37, 2021. doi:10.3390/engproc2021005037
    [BibTeX] [Download PDF]
    @article{schubert.etal_2021,
    title = {On the {{Family}} of {{Covariance Functions Based}} on {{ARMA Models}}},
    author = {Schubert, Till and Brockmann, Jan Martin and Korte, Johannes and Schuh, Wolf-Dieter},
    year = {2021},
    journal = {Proceedings of The 7th International conference on Time Series and Forecasting (ITISE 2021), Engineering Proceedings},
    volume = {5},
    number = {1},
    pages = {37},
    publisher = {{Multidisciplinary Digital Publishing Institute}},
    doi = {10.3390/engproc2021005037},
    url = {https://www.mdpi.com/2673-4591/5/1/37},
    urldate = {2021-07-05},
    copyright = {http://creativecommons.org/licenses/by/3.0/},
    langid = {english},
    keywords = {ARMA processes,covariance function,Mat{\'e}rn covariance function,positive definiteness,stochastic modeling,time series analysis},
    file = {/home/jmb/pc/internetSettings/zotero/storage/Q9GQACHG/Schubert et al. - 2021 - On the Family of Covariance Functions Based on ARM.pdf}
    }

  • T. Schubert, J. M. Brockmann, and W. Schuh, “Identification of Suspicious Data for Robust Estimation of Stochastic Processes,” in IX Hotine-Marussi Symposium on Mathematical Geodesy, {Cham}, 2021, p. 199–207. doi:10.1007/1345_2019_80
    [BibTeX] [Download PDF]
    @inproceedings{schubert.etal_2021a,
    title = {Identification of {{Suspicious Data}} for {{Robust Estimation}} of {{Stochastic Processes}}},
    booktitle = {{{IX Hotine-Marussi Symposium}} on {{Mathematical Geodesy}}},
    author = {Schubert, Till and Brockmann, Jan Martin and Schuh, Wolf-Dieter},
    editor = {Nov{\'a}k, Pavel and Crespi, Mattia and Sneeuw, Nico and Sans{\`o}, Fernando},
    year = {2021},
    series = {International {{Association}} of {{Geodesy Symposia}}},
    pages = {199--207},
    publisher = {{Springer International Publishing}},
    address = {{Cham}},
    doi = {10.1007/1345_2019_80},
    url = {https://link.springer.com/chapter/10.1007%2F1345_2019_80},
    isbn = {978-3-030-54267-2},
    langid = {english},
    keywords = {AR-processes,Hypothesis tests,Outlier detection,Residual time series,Stochastic modeling,Time series},
    file = {/home/jmb/pc/internetSettings/zotero/storage/HG354NA2/Schubert et al. - 2021 - Identification of Suspicious Data for Robust Estim.pdf}
    }

2020

  • T. Schubert, J. Korte, J. M. Brockmann, and W. Schuh, “A Generic Approach to Covariance Function Estimation Using ARMA-Models,” Mathematics, Special Issue “Stochastic Models for Geodesy and Geoinformation Science”, vol. 8, iss. 4, p. 591, 2020. doi:10.3390/math8040591
    [BibTeX] [Download PDF]
    @article{schubert.etal_2020,
    title = {A {{Generic Approach}} to {{Covariance Function Estimation Using ARMA-Models}}},
    author = {Schubert, Till and Korte, Johannes and Brockmann, Jan Martin and Schuh, Wolf-Dieter},
    year = {2020},
    month = apr,
    journal = {Mathematics, Special Issue "Stochastic Models for Geodesy and Geoinformation Science"},
    volume = {8},
    number = {4},
    pages = {591},
    publisher = {{Multidisciplinary Digital Publishing Institute}},
    doi = {10.3390/math8040591},
    url = {https://www.mdpi.com/2227-7390/8/4/591},
    urldate = {2021-03-19},
    copyright = {http://creativecommons.org/licenses/by/3.0/},
    langid = {english},
    keywords = {ARMA-process,autoregressive processes,colored noise,continuous process,covariance function,stochastic modeling,time series},
    file = {/home/jmb/pc/internetSettings/zotero/storage/S4EYNEV3/Schubert et al. - 2020 - A Generic Approach to Covariance Function Estimati.pdf}
    }

List of Presentations

2022

  • J. Korte, T. Schubert, J. M. Brockmann, and W. -D. Schuh, Time Variable AR Processes with Linear Root Motion: A Comparison between Successive Estimation of TVAR(1) and TVAR(2) with the Estimation of a TVAR(3) Process{Essen, Germany}: , 2022.
    [BibTeX]
    @misc{korte.etal_2022,
    type = {Talk at {{FROGS}} 2022},
    title = {Time {{Variable AR Processes}} with {{Linear Root Motion}}: {{A Comparison}} between Successive {{Estimation}} of {{TVAR}}(1) and {{TVAR}}(2) with the Estimation of a {{TVAR}}(3) {{Process}}},
    author = {Korte, J. and Schubert, T. and Brockmann, J. M. and Schuh, W.-D.},
    year = {2022},
    address = {{Essen, Germany}}
    }

  • J. Korte, T. Schubert, J. M. Brockmann, and W. -D. Schuh, On the Estimation of Time Variable AR Processes with Linear Root Motion of the Characteristic Polynomial{Milano, Italy}: , 2022.
    [BibTeX]
    @misc{korte.etal_2022a,
    type = {Talk at {{X Hotine-Marussi Symposium}}},
    title = {On the {{Estimation}} of {{Time Variable AR Processes}} with {{Linear Root Motion}} of the {{Characteristic Polynomial}}},
    author = {Korte, J. and Schubert, T. and Brockmann, J. M. and Schuh, W.-D.},
    year = {2022},
    address = {{Milano, Italy}}
    }

  • W. -D. Schuh, J. Korte, T. Schubert, and J. M. Brockmann, Modeling of Inhomogeneous Spatio-Temporal Signals by Least Squares Collocation{Milano, Italy}: , 2022.
    [BibTeX] [Download PDF]
    @misc{schuh.etal_2022,
    type = {Talk at the {{X Hotine Marussi Symposium}}},
    title = {Modeling of Inhomogeneous Spatio-Temporal Signals by Least Squares Collocation},
    author = {Schuh, W.-D. and Korte, J. and Schubert, T. and Brockmann, J. M.},
    year = {2022},
    address = {{Milano, Italy}},
    url = {https://doi.org/10.48565/bonndoc-39}
    }

2019

  • J. M. Brockmann, T. Schubert, W. Schuh, A. Kvas, and T. {Mayer-Guerr}, An Improved Global Gravity Field Model of the Earth Derived from Reprocessed GOCE Observations with the Time-Wise Approach{Milano, Italy}: , 2019.
    [BibTeX]
    @misc{brockmann.etal_2019b,
    type = {Talk at {{ESA Living Planet Symposium}}},
    title = {An Improved Global Gravity Field Model of the {{Earth}} Derived from Reprocessed {{GOCE}} Observations with the Time-Wise Approach},
    author = {Brockmann, Jan Martin and Schubert, Till and Schuh, Wolf-Dieter and Kvas, Andreas and {Mayer-Guerr}, Torsten},
    year = {2019},
    address = {{Milano, Italy}}
    }

2018

  • J. Brockmann, T. Schubert, W. -D. Schuh, and G. H. Team, Reprocessed GOCE Gravity Gradients for Gravity Field Recovery: First Results with the Time-Wise Approach (Talk){Vienna, Austria}: , 2018.
    [BibTeX] [Download PDF]
    @misc{brockmann.etal_2018,
    type = {Talk at {{EGU2018}}},
    title = {Reprocessed {{GOCE}} Gravity Gradients for Gravity Field Recovery: First Results with the Time-Wise Approach (Talk)},
    author = {Brockmann, Jan-Martin and Schubert, Till and Schuh, W.-D. and GOCE HPF Team},
    year = {2018},
    address = {{Vienna, Austria}},
    url = {https://presentations.copernicus.org/EGU2018-13217_presentation.pdf}
    }

  • J. M. Brockmann, T. Schubert, W. -D. Schuh, and T. {Mayer-Gürr}, Towards the 6th Release of the Time-Wise GOCE Models: Processing Status and Preliminary Results (Talk){Copenhagen, Denmark}: , 2018.
    [BibTeX]
    @misc{brockmann.etal_2018c,
    type = {Talk at {{GGHS}} 2018},
    title = {Towards the 6th Release of the Time-Wise {{GOCE}} Models: Processing Status and Preliminary Results (Talk)},
    author = {Brockmann, J. M. and Schubert, T. and Schuh, W.-D. and {Mayer-G{\"u}rr}, T.},
    year = {2018},
    address = {{Copenhagen, Denmark}},
    howpublished = {Talk},
    owner = {jmb}
    }

  • T. Schubert, J. M. Brockmann, and W. -D. Schuh, Identification of Suspicious Data for Robust Estimation of Stochastic Processes{Rome}: , 2018.
    [BibTeX] [Download PDF]
    @misc{schubert-etal_v18,
    type = {Talk at the {{IX Hotine Marussi Symposium}}},
    title = {Identification of Suspicious Data for Robust Estimation of Stochastic Processes},
    author = {Schubert, T. and Brockmann, J.M. and Schuh, W.-D.},
    year = {2018},
    month = jul,
    address = {{Rome}},
    url = {http://skylab.itg.uni-bonn.de/schuh/Separata/schubert-etal_v18.pdf},
    annotation = {oral presentation}
    }

  • J. M. Brockmann, T. Schubert, and W. -D. Schuh, Reprocessed GOCE Gravity Gradients for Gravity Field Recovery –- First Analysis and Results from the Time-Wise Approach (Talk){Frascati, Italy}: , 2018.
    [BibTeX]
    @misc{schuh.etal_2014a,
    type = {Talk at {{HPF CCN Progress Meeting}} \#1},
    title = {Reprocessed {{GOCE}} Gravity Gradients for Gravity Field Recovery --- First Analysis and Results from the Time-Wise Approach (Talk)},
    author = {Brockmann, Jan Martin and Schubert, Till and Schuh, W.-D.},
    year = {2018},
    address = {{Frascati, Italy}},
    howpublished = {Talk},
    owner = {jmb}
    }

  • W. -D. Schuh, T. Schubert, I. Loth, J. M. Brockmann, and B. Kargoll, Advanced Time Series Analysis to Estimate Tailored Stochastic Models for the Global Gravity Field Processing (Talk){Copenhagen, Denmark}: , 2018.
    [BibTeX]
    @misc{schuh.etal_2018,
    type = {Talk at the {{GGHS}} 2018},
    title = {Advanced Time Series Analysis to Estimate Tailored Stochastic Models for the Global Gravity Field Processing (Talk)},
    author = {Schuh, W.-D. and Schubert, T. and Loth, I. and Brockmann, J. M. and Kargoll, B.},
    year = {2018},
    address = {{Copenhagen, Denmark}},
    howpublished = {Talk},
    owner = {jmb}
    }

List of Posters