Publications | Théo Beuzeville

2025

Journal article

Deterministic and probabilistic rounding error analysis of neural networks in floating-point arithmetic

Théo Beuzeville, Alfredo Buttari, Serge Gratton, and Theo Mary

IMA Journal of Numerical Analysis, 2025

In press

@article{beuzeville:hal-04663142,
  title = {{Deterministic and probabilistic rounding error analysis of neural networks in floating-point arithmetic}},
  author = {Beuzeville, Th{\'e}o and Buttari, Alfredo and Gratton, Serge and Mary, Theo},
  url = {https://hal.science/hal-04663142},
  journal = {{IMA Journal of Numerical Analysis}},
  publisher = {{Oxford University Press (OUP)}},
  year = {2025},
  keywords = {rounding errors ; backward error ; probabilistic error analysis ; artificial neural networks ; error analysis ; floating-point arithmetic},
  hal_id = {hal-04663142},
  note = {In press},
  hal_version = {v2}
}

Patent

Method for training an artificial intelligence model and associated computer program

Théo Beuzeville, Alfredo Buttari, Serge Gratton, Theo Mary, and Nicolas Winckler

Jul 2025

Bib

@patent{beuzeville:hal-05219822,
  title = {{Method for training an artificial intelligence model and associated computer program}},
  author = {Beuzeville, Th{\'e}o and Buttari, Alfredo and Gratton, Serge and Mary, Theo and Winckler, Nicolas},
  url = {https://hal.science/hal-05219822},
  number = {US20250232224A1},
  address = {United States},
  year = {2025},
  month = jul,
  hal_id = {hal-05219822},
  hal_version = {v1}
}

2024

Thesis

Backward error analysis of artificial neural networks with applications to floating-point computations and adversarial attacks

Théo Beuzeville

Jun 2024

Bib PDF

@phdthesis{beuzeville:tel-04622129,
  title = {{Backward error analysis of artificial neural networks with applications to floating-point computations and adversarial attacks}},
  author = {Beuzeville, Th{\'e}o},
  url = {https://theses.hal.science/tel-04622129},
  number = {2024TLSEP054},
  school = {{Universit{\'e} de Toulouse}},
  year = {2024},
  month = jun,
  keywords = {Backward error ; Rounding errors ; Adversarial attacks ; Error analysis ; Floating-point ; Artificial neural networks ; Erreur inverse ; Erreurs d'arrondi ; Attaques adverses ; Analyse d'erreur ; Virgule flottante ; R{\'e}seaux de neurones artificiels},
  type = {Theses},
  hal_id = {tel-04622129},
  hal_version = {v1}
}

2023

Patent

Method, computer program and device for quantizing a deep neural network

Théo Beuzeville, Alfredo Buttari, Serge Gratton, and Stéphane Pralet

Oct 2023

Bib

@patent{buttari:hal-04268862,
  title = {{Method, computer program and device for quantizing a deep neural network}},
  author = {Beuzeville, Th{\'e}o and Buttari, Alfredo and Gratton, Serge and Pralet, St{\'e}phane},
  url = {https://hal.science/hal-04268862},
  number = {US 2023/0334301},
  address = {United States},
  year = {2023},
  month = oct,
  hal_id = {hal-04268862},
  hal_version = {v1}
}

2022

Technical report

Adversarial attacks via Sequential Quadratic Programming

Théo Beuzeville, Alfredo Buttari, Serge Gratton, Theo Mary, and Erkan Ulker

Aug 2022

Bib PDF

@unpublished{beuzeville:hal-03752184,
  title = {{Adversarial attacks via Sequential Quadratic Programming}},
  author = {Beuzeville, Th{\'e}o and Buttari, Alfredo and Gratton, Serge and Mary, Theo and Ulker, Erkan},
  url = {https://hal.science/hal-03752184},
  year = {2022},
  month = aug,
  hal_id = {hal-03752184},
  hal_version = {v1}
}

2021

Technical report

Adversarial attacks via backward error analysis

Théo Beuzeville, Pierre Boudier, Alfredo Buttari, Serge Gratton, Théo Mary, and Stéphane Pralet

Dec 2021

Bib PDF

@unpublished{beuzeville:hal-03296180,
  title = {{Adversarial attacks via backward error analysis}},
  author = {Beuzeville, Th{\'e}o and Boudier, Pierre and Buttari, Alfredo and Gratton, Serge and Mary, Th{\'e}o and Pralet, St{\'e}phane},
  url = {https://ut3-toulouseinp.hal.science/hal-03296180},
  year = {2021},
  month = dec,
  hal_id = {hal-03296180},
  hal_version = {v3}
}