This image shows Ilja Kröker

Ilja Kröker

Dr. rer. nat.

Scientifc Assistant
Institute for Modelling Hydraulic and Environmental Systems
Dept. of Stochastic Simulation and Safety Research for Hydrosystems, SimTech

Contact

+49 711 685 60745

Pfaffenwaldring 5a
70569 Stuttgart
Room: 1.15

  1. 2024 (submitted)

    1. Kröker I, Brünnette T, Wildt N, Oreamuno MFM, Kohlhaas R, Oladyshkin S, et al. Bayesian Active Learning for Regularized Multi-Resolution Arbitrary Polynomial Chaos using Information Theory. International Journal for Uncertainty Quantification.

  2. 2024

    1. Kröker I, Nißler E, Oladyshkin S, Nowak W, Haslauer C. Data-driven surrogate-based Bayesian model calibration for predicting vadose zone temperatures in drinking water supply pipes. In: Geophys Res Abstr. Vienna: EGU General Assembly 2024; 2024. (Geophys. Res. Abstr.; vols. 25, EGU2024-7820).

  3. 2023

    1. Kohlhaas R, Kröker I, Oladyshkin S, Nowak W. Gaussian active learning on multi-resolution arbitrary polynomial chaos emulator: concept for bias correction, assessment of surrogate reliability and its application to the carbon dioxide benchmark. Computational Geosciences. 2023;27(3):1–21.
    2. Oladyshkin S, Praditia T, Kroeker I, Mohammadi F, Nowak W, Otte S. The Deep Arbitrary Polynomial Chaos Neural Network or how Deep Artificial Neural Networks could benefit from Data-Driven Homogeneous Chaos Theory. Neural Networks. 2023;166:85–104.
    3. Bürkner PC, Kröker I, Oladyshkin S, Nowak W. The sparse Polynomial Chaos expansion: a fully Bayesian approach with joint priors on the coefficients and global selection of terms. Journal of Computational Physics. 2023;112210.
    4. Kröker I, Oladyshkin S, Rybak I. Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems. Computational Geosciences [Internet]. 2023; Available from: https://rdcu.be/dhL31
    5. Bürger R, Chowell G, Kröker I, Lara-Díaz LY. A computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile. Journal of Biological Dynamics. 2023;17(1):2256774.

  4. 2022

    1. González-Nicolás A, Bilgic D, Kröker I, Mayar A, Trevisan L, Steeb H, et al. Optimal exposure time in Gamma-Ray Attenuation experiments for monitoring time-dependent densities. Transport in Porous Media. 2022;143:463–96.

  5. 2020

    1. Oladyshkin S, Beckers F, Kroeker I, Mohammadi F, Heredia A, Noack M, et al. Uncertainty quantification using Bayesian arbitrary polynomial chaos for computationally demanding environmental modelling: conventional, sparse and adaptive strategy. In: Computational Methods in Water Resources (CMWR). 2020. (Computational Methods in Water Resources (CMWR)).
    2. Oladyshkin S, Mohammadi F, Kröker I, Nowak W. Bayesian3 active learning for Gaussian process emulator using information theory. Entropy. 2020;22(0890):1–27.

  6. 2019

    1. Köppel M, Franzelin F, Kröker I, Oladyshkin S, Santin G, Wittwar D, et al. Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Computational Geosciences. 2019;23(2):339–54.
    2. Bürger R, Kröker I. Computational uncertainty quantification for some strongly degenerate parabolic convection–diffusion equations. Journal of Computational and Applied Mathematics [Internet]. 2019;348:490–508. Available from: http://www.sciencedirect.com/science/article/pii/S037704271830551X

  7. 2018

    1. Barth A, Kröker I. Finite Volume Methods for Hyperbolic Partial Differential Equations with Spatial Noise. In: Klingenberg C, Westdickenberg M, editors. Theory, Numerics and Applications of Hyperbolic Problems I. Cham: Springer International Publishing; 2018. p. 125--135. (Klingenberg C, Westdickenberg M, editors. Theory, Numerics and Applications of Hyperbolic Problems I).

  8. 2017

    1. Bürger R, Kröker I. Hybrid Stochastic Galerkin Finite Volumes for the Diffusively Corrected Lighthill-Whitham-Richards Traffic Model. In: Cancès C, Omnes P, editors. Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017 [Internet]. Cham: Springer International Publishing; 2017. p. 189--197. (Cancès C, Omnes P, editors. Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017). Available from: http://dx.doi.org/10.1007/978-3-319-57394-6_21
    2. Köppel M, Kröker I, Rohde C. Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media. Comput Geosci. 2017;21(4):807--832.

  9. 2016

    1. Barth A, Bürger R, Kröker I, Rohde C. Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach. Computers & Chemical Engineering [Internet]. 2016;89:11-- 26. Available from: http://www.sciencedirect.com/science/article/pii/S0098135416300503

  10. 2014

    1. Kröker I, Nowak W, Rohde C. A stochastically and spatially adaptive parallel scheme for uncertain and non-linear two-phase flow problems. Computational Geosciences. 2014;19:269–84.
    2. Bürger R, Kröker I, Rohde C. A hybrid stochastic Galerkin method for uncertainty quantification  applied to a conservation law modelling a clarifier-thickener unit. ZAMM Z Angew Math Mech [Internet]. 2014;94(10):793–817. Available from: http://dx.doi.org/10.1002/zamm.201200174
    3. Köppel M, Kröker I, Rohde C. Stochastic Modeling for Heterogeneous Two-Phase Flow. In: Fuhrmann J, Ohlberger M, Rohde C, editors. Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects [Internet]. Springer International Publishing; 2014. p. 353--361. (Fuhrmann J, Ohlberger M, Rohde C, editors. Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects; vol. 77). Available from: http://dx.doi.org/10.1007/978-3-319-05684-5\_34

  11. 2013

    1. Kröker I. Stochastic models for nonlinear convection-dominated flows [Doctoral dissertation]. Universität Stuttgart; 2013.

  12. 2012

    1. Kröker I, Rohde C. Finite volume schemes for hyperbolic balance laws with multiplicative  noise. Appl Numer Math [Internet]. 2012;62(4):441--456. Available from: http://dx.doi.org/10.1016/j.apnum.2011.01.011

  13. 2011

    1. Bürger R, Kröker I, Rohde C. Uncertainty quantification for a clarifier-thickener model with random feed. In: Finite volumes for complex applications VI Problems & perspectives Volume 1, 2 [Internet]. Springer; 2011. p. 195--203. (Finite volumes for complex applications. VI. Problems & perspectives. Volume 1, 2; vol. 4). Available from: http://dx.doi.org/10.1007/978-3-642-20671-9\_21

  14. 2008

    1. Kröker I. Finite volume methods for conservation laws with noise. In: Finite volumes for complex applications V. ISTE, London; 2008. p. 527--534. (Finite volumes for complex applications V).

10/2007 Diploma in Mathematics, Bielefeld University
10/2013 PhD, Fakulty of Mathematics and Physics, Excellence Cluster Simulation Technology (SimTech), University of Stuttgart
10/2013-09/2017 PostDoc, Department of Computational Methods for Uncertainty Quantification, Institute of Applied Analysis and Numerical Simulation, University of Stuttgart
10/2017-03/2018 Professor Substitute for Applied Mathematics, Friedrich-Alexander-University Erlangen-Nürnberg
04/2018-03/2019 PostDoc, Department of Computational Methods for Uncertainty Quantification, Institute of Applied Analysis and Numerical Simulation, University of Stuttgart
Since 09/2019 Scientific Assistant, Institute for Modelling Hydraulic and Environmental Systems, University of Stuttgart

Surrogate-based active learning for parameter inference in geosciences via Bayesian sparse multi-adaptivity enhanced by information theory

Project: Influence of Soil Temperature on the Warming of Drinking Water in Water Distribution Pipe Networks – Development of a Soil Model

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