CF202648120
Learning and Stochasticity in Prophet Inequalities
D-7
Doctorate Full Doctorate
Disciplines
Economy
Laboratory
Centre de Recherche en Economie et Statistique (CREST)
Host institution
Institut Polytechnique de Paris École nationale de la statistique et de l'administration économique
Doctoral school
ÉCOLE DOCTORALE DE MATHÉMATIQUES HADAMARD (EDMH) - ED 574

Description

This project aims to establish the theory and to design and study algorithms for decision-making processes that integrate AI-generated predictions into classical algorithms, ensuring they are more powerful when predictions are accurate and provably reliable when predictions are poor. Rather than motivating this by revisiting the limitations of end-to-end AI systems (as outlined before), we focus on what this integration requires in practice and how we will evaluate success.

From this perspective, the objective is to develop and analyse learning and to leverage stochastic structures in this setting, as showed possible by early works

Skills required

Prophet Inequality

Bibliography

[VP1] Ziyad Benomar, Lorenzo Croissant, Vianney Perchet, and Spyros Angelopoulos. Pareto-optimality, smooth-
ness, and stochasticity in learning-augmented one-max-search. In ICML 2025-42nd International Conference
on Machine Learning, 2025.
[VP2] Ziyad Benomar and Vianney Perchet. On tradeoffs in learning-augmented algorithms. arXiv preprint
arXiv:2501.12770, 2025.
[VP3] Nadav Merlis, Hugo Richard, Flore Sentenac, Corentin Odic, Mathieu Molina, and Vianney Perchet. On
preemption and learning in stochastic scheduling. In International Conference on Machine Learning, pages
24478–24516. PMLR, 2023.
[VP4] Nathan Noiry, Vianney Perchet, and Flore Sentenac. Online matching in sparse random graphs: Non-
asymptotic performances of greedy algorithm. Advances in Neural Information Processing Systems,
34:21400–21412, 2021.
[VP5] Flore Sentenac, Nathan Noiry, Matthieu Lerasle, Laurent M´ enard, and Vian

Keywords

Lerarning, Prophet Inequality

Funded offer

Funding type
Contrat Doctoral

Dates

Application deadline 01/09/26

Duration36 months

Start date01/10/26

Creation date15/04/26

Languages

Level of french requiredNone

Level of English requiredNone

Miscellaneous

Annual tuition fee400 € / year

Contacts

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