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 InequalityBibliography
[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
2447824516. 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,
34:2140021412, 2021.
[VP5] Flore Sentenac, Nathan Noiry, Matthieu Lerasle, Laurent M´ enard, and Vian
Keywords
Lerarning, Prophet InequalityFunded 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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