More details on selected publications from this list can be found in the Featured Publications section.

Preprints

  • Tessellations of Semi-Discrete Flow Matching Émile Pierret*, Johannes Hertrich*, Samuel Hurault* and Julie Delon, 2026. Submitted preprint. arXiv, bib

    ×
    
    @misc{pierret_hertrich_hurault_delon_tessellations_semidiscrete_flow_matching_2026,
          title={Tessellations of Semi-Discrete Flow Matching}, 
          author={Emile Pierret and Johannes Hertrich and Samuel Hurault and Julie Delon},
          year={2026},
          eprint={2605.07513},
          archivePrefix={arXiv},
          primaryClass={cs.LG},
          url={https://arxiv.org/abs/2605.07513}, 
    }
    

  • Flow Matching for Applied Mathematicians. Émile Pierret*, Valentine Tosel*, Julie Delon and Alasdair Newson, 2026. Submitted preprint. hal, bib

    ×
    
    @misc{Pierret_Tosel_Delon_Newson_FM_for_AM_2026,
      author={Pierret, Emile and Tosel, Valentine and Delon, Julie and Newson, Alasdair},
      booktitle={Submitted Preprint},
      title={Flow Matching for Applied Mathematicians.},
      year={2026}
      }
    

  • Exact Evaluation of the Accuracy of Diffusion Models for Inverse Problems with Gaussian Data Distributions. Émile Pierret and Bruno Galerne, 2025. Submitted preprint. hal, arXiv, bib

    ×
    
    @misc{Pierret_Galerne_Evaluation_accuracy_diffusion_models,
      author={Pierret, \'Emile and Galerne, Bruno},
      booktitle={Submitted Preprint},
      title={Exact Evaluation of the Accuracy of Diffusion Models for Inverse Problems with {G}aussian Data Distributions},
      year={2025}
      }
    

Conference publications

  • Diffusion models for Gaussian distributions: Exact solutions and Wasserstein errors. Émile Pierret and Bruno Galerne, 2025. Accepted at ICML 2025. hal, arXiv, GitHub, bib

    ×
    
    @inproceedings{Pierret_Galerne_diffusion_models_Gaussian_exact_solutions_errors_ICML2025,
    title={Diffusion models for {G}aussian distributions: Exact solutions and Wasserstein errors},
    author={Emile Pierret and Bruno Galerne},
    booktitle={Forty-second International Conference on Machine Learning},
    year={2025},
    }
    

  • Stochastic Super-Resolution for Gaussian textures. Émile Pierret and Bruno Galerne, 2023. ICASSP 2023. hal, arXiv, IEEE preview, bib

    ×
    
    @inproceedings{Pierret_Galerne_stochastic_SR_for_gaussian_textures_ICASSP_2023,
      author={Pierret, Émile and Galerne, Bruno},
      booktitle={ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}, 
      title={Stochastic Super-Resolution For {G}aussian Textures}, 
      year={2023},
      volume={},
      number={},
      pages={1-5},
      doi={10.1109/ICASSP49357.2023.10096585}}
    

Journal publication

  • Stochastic Super-Resolution for Gaussian microtextures. Émile Pierret and Bruno Galerne, 2025. SIAM Journal on Imaging Sciences ( SIIMS), Vol. 18, No. 2, pp. 1176–1207. hal, arXiv, GitHub, bib
    ×
    
    @article{Pierret_Galerne_stochastic_superresolution_gaussian_microtextures_SIIMS_2025,
    author = {Pierret, \'{E}mile and Galerne, Bruno},
    title = {Stochastic Super-resolution for {G}aussian Microtextures},
    journal = {SIAM Journal on Imaging Sciences},
    volume = {18},
    number = {2},
    pages = {1176-1207},
    year = {2025},
    doi = {10.1137/24M1657407},
    }