publications

journal articles

1. JMLR

   Statistical guarantees for denoising reflected diffusion models

   Asbjørn Holk, Claudia Strauch, and Lukas Trottner

   J. Mach. Learn. Res., to appear

   arXiv Bib

   @article{hst27,
     title = {Statistical guarantees for denoising reflected diffusion models},
     author = {Holk, Asbjørn and Strauch, Claudia and Trottner, Lukas},
     journal = {J. Mach. Learn. Res.},
     year = {to appear},
   }

2. AOS

   Change point estimation for a stochastic heat equation

   Markus Reiß, Claudia Strauch, and Lukas Trottner

   Ann. Statist., 2026

   arXiv Bib HTML

   @article{reiss23,
     author = {Rei{\ss}, Markus and Strauch, Claudia and Trottner, Lukas},
     journal = {Ann. Statist.},
     title = {Change point estimation for a stochastic heat equation},
     year = {2026},
     volume = {54},
     number = {1},
     pages = {277-299},
   }

3. SPA

   Multivariate change estimation for a stochastic heat equation from local measurements

   Anton Tiepner, and Lukas Trottner

   Stochastic Process. Appl., 2026

   Bib HTML

   @article{tt24,
     author = {Tiepner, Anton and Trottner, Lukas},
     title = {Multivariate change estimation for a stochastic heat equation from local measurements},
     journal = {Stochastic Process. Appl.},
     volume = {192},
     pages = {paper no. 104832},
     year = {2026},
   }

4. OREP

   Mini-Workshop: Statistical Challenges for Deep Generative Models

   Sören Christensen, Alain Oliviero-Durmus, Claudia Strauch, and Lukas Trottner

   Oberwolfach Rep., 2025

   Bib HTML

   @article{chris25,
     author = {Christensen, Sören and Oliviero-Durmus, Alain and Strauch, Claudia and Trottner, Lukas},
     journal = {Oberwolfach Rep.},
     title = {Mini-Workshop: Statistical Challenges for Deep Generative Models},
     year = {2025},
     volume = {22},
     number = {1},
     pages = {375–404},
   }

5. JUQ

   Data-driven rules for multidimensional reflection problems

   Sören Christensen, Asbjørn Holk Thomsen, and Lukas Trottner

   SIAM/ASA J. Uncertain. Quantif., 2024

   arXiv Bib HTML

   @article{christensen23,
     author = {Christensen, S{\"o}ren and Thomsen, Asbj{\o}rn Holk and Trottner, Lukas},
     journal = {SIAM/ASA J. Uncertain. Quantif.},
     title = {Data-driven rules for multidimensional reflection problems},
     year = {2024},
     volume = {12},
     number = {4},
     pages = {1240-1272},
   }

6. TAMS

   Markov additive friendships

   Leif Döring, Lukas Trottner, and Alexander R. Watson

   Trans. Amer. Math. Soc., 2024

   arXiv Bib HTML

   @article{doering23b,
     author = {D{\"o}ring, Leif and Trottner, Lukas and Watson, Alexander R.},
     journal = {Trans. Amer. Math. Soc.},
     title = {Markov additive friendships},
     volume = {377},
     number = {11},
     year = {2024},
   }

7. BLMS

   The uniqueness of the Wiener–Hopf factorisation of Lévy processes and random walks

   Leif Döring, Mladen Savov, Lukas Trottner, and Alexander R. Watson

   Bull. Lond. Math. Soc., 2024

   arXiv Bib HTML

   @article{doering23c,
     author = {D{\"o}ring, Leif and Savov, Mladen and Trottner, Lukas and Watson, Alexander R.},
     journal = {Bull. Lond. Math. Soc.},
     title = {The uniqueness of the Wiener--Hopf factorisation of L{\'e}vy processes and random walks},
     volume = {56},
     number = {9},
     pages = {2951–2968},
     year = {2024},
   }

8. IMAIAI

   Covariate shift in nonparametric regression with Markovian design

   Lukas Trottner

   Inf. Inference, 2024

   arXiv Bib HTML

   @article{trottner24,
     author = {Trottner, Lukas},
     fjournal = {Information and Inference. A Journal of the IMA},
     issn = {2049-8764,2049-8772},
     journal = {Inf. Inference},
     number = {2},
     pages = {Paper No. iaae011},
     title = {Covariate shift in nonparametric regression with {M}arkovian design},
     volume = {13},
     year = {2024},
   }

9. Bernoulli

   Learning to reflect: A unifying approach for data-driven stochastic control strategies

   Sören Christensen, Claudia Strauch, and Lukas Trottner

   Bernoulli, 2024

   Bib HTML

   @article{chr24,
     author = {Christensen, S\"{o}ren and Strauch, Claudia and Trottner, Lukas},
     fjournal = {Bernoulli},
     journal = {Bernoulli},
     number = {3},
     pages = {2074--2101},
     title = {Learning to reflect: {A} unifying approach for data-driven stochastic control strategies},
     url = {https://doi.org/10.3150/23-bej1665},
     volume = {30},
     year = {2024},
   }

10. AOAP

    Stability of overshoots of Markov additive processes

    Leif Döring, and Lukas Trottner

    Ann. Appl. Probab., 2023

    arXiv Bib HTML

    @article{doering23,
      author = {D\"{o}ring, Leif and Trottner, Lukas},
      fjournal = {The Annals of Applied Probability},
      issn = {1050-5164,2168-8737},
      journal = {Ann. Appl. Probab.},
      mrclass = {60J25 (37A25 62M05)},
      mrnumber = {4677737},
      number = {6B},
      pages = {5413--5458},
      title = {Stability of overshoots of {M}arkov additive processes},
      volume = {33},
      year = {2023},
    }

11. JMLR

    Concentration analysis of multivariate elliptic diffusions

    Lukas Trottner, Cathrine Aeckerle-Willems, and Claudia Strauch

    J. Mach. Learn. Res., 2023

    Bib HTML

    @article{trottner23,
      author = {Trottner, Lukas and Aeckerle-Willems, Cathrine and Strauch, Claudia},
      issn = {1532-4435},
      journal = {J. Mach. Learn. Res.},
      pages = {Paper No. 106, pp. 1--38},
      title = {Concentration analysis of multivariate elliptic diffusions},
      volume = {24},
      year = {2023},
    }

12. AIHP

    Adaptive invariant density estimation for continuous-time mixing Markov processes under sup-norm risk

    Niklas Dexheimer, Claudia Strauch, and Lukas Trottner

    Ann. Inst. Henri Poincaré Probab. Stat., 2022

    Bib HTML

    @article{dexheimer22,
      author = {Dexheimer, Niklas and Strauch, Claudia and Trottner, Lukas},
      fjournal = {Annales de l'Institut Henri Poincar\'{e} Probabilit\'{e}s et Statistiques},
      issn = {0246-0203},
      journal = {Ann. Inst. Henri Poincar\'{e} Probab. Stat.},
      mrclass = {62M05 (60G10 60J25 62G05 62G20)},
      number = {4},
      pages = {2029--2064},
      title = {Adaptive invariant density estimation for continuous-time mixing {M}arkov processes under sup-norm risk},
      url = {https://doi.org/10.1214/21-aihp1235},
      volume = {58},
      year = {2022},
    }

preprints

1. arXiv

   Reflected diffusion models adapt to low-dimensional data

   Asbjørn Holk, Claudia Strauch, and Lukas Trottner

   2026

   arXiv Bib

   @misc{hst26,
     title = {Reflected diffusion models adapt to low-dimensional data},
     author = {Holk, Asbjørn and Strauch, Claudia and Trottner, Lukas},
     year = {2026},
     eprint = {2603.24495},
     archiveprefix = {arXiv},
   }

2. arXiv

   In situ Learning-Based Spin Engineering of Pulsed Dynamic Nuclear Polarization

   Filip V. Jensen, José P. Carvalho, Nino Wili, Asbjorn Holk Thomsen, David L. Goodwin, Lukas Trottner, Claudia Strauch, Anders Bodholt Nielsen, and Niels Chr. Nielsen

   2026

   arXiv Bib

   @misc{chem26,
     title = {In situ Learning-Based Spin Engineering of Pulsed Dynamic Nuclear Polarization},
     author = {V.\ Jensen, Filip and P.\ Carvalho, José and Wili, Nino and Thomsen, Asbjorn Holk and L.\ Goodwin, David and Trottner, Lukas and Strauch, Claudia and Nielsen, Anders Bodholt and Nielsen, Niels Chr.},
     year = {2026},
     eprint = {2603.19448},
     archiveprefix = {arXiv},
   }

3. arXiv

   Beyond Fixed Horizons: A Theoretical Framework for Adaptive Denoising Diffusions

   Sören Christensen, Jan Kallsen, Claudia Strauch, and Lukas Trottner

   2026

   arXiv Bib

   @misc{ckst26,
     title = {Beyond Fixed Horizons: A Theoretical Framework for Adaptive Denoising Diffusions},
     author = {Christensen, Sören and Kallsen, Jan and Strauch, Claudia and Trottner, Lukas},
     year = {2026},
     eprint = {2501.19373},
     archiveprefix = {arXiv},
     primaryclass = {stat.ML},
   }

4. arXiv

   Model-free filtering in high dimensions via projection and score-based diffusions

   Sören Christensen, Jan Kallsen, Claudia Strauch, and Lukas Trottner

   2025

   arXiv Bib

   @misc{ckst25,
     title = {Model-free filtering in high dimensions via projection and score-based diffusions},
     author = {Christensen, Sören and Kallsen, Jan and Strauch, Claudia and Trottner, Lukas},
     year = {2025},
     eprint = {2510.23197},
     archiveprefix = {arXiv},
     primaryclass = {stat.ML},
   }