5 papers
Kernel Methods for Refined Prophet Inequalities
Patrick Loiseau, Mathieu Molina, Vianney Perchet +2
The single-selection prophet inequality is a canonical Bayesian online selection problem in which independent nonnegative values arrive sequentially and the decision-maker must irr…
Prophet Inequalities under Local Differential Privacy
Achraf Azize, Mathieu Molina, Hugo Richard +1
Many online decision platforms, from hiring marketplaces to auctions, face a tension between efficient decision-making and the protection of participants' privacy. Personal informa…
Tight Sample Complexity for Low-Degree and Sparse Boolean Polynomials
Jasper van Doornmalen, Mathieu Molina, Victor Verdugo +1
Motivated by the optimization of bounded binary black-box functions, we study the problem of learning polynomial surrogates over the Boolean hypercube. To ensure that optimizing th…
The Price of Opportunity Fairness in Matroid Allocation Problems
Rémi Castera, Felipe Garrido-Lucero, Patrick Loiseau +3
We consider matroid allocation problems under opportunity fairness constraints: resources need to be allocated to a set of agents under matroid constraints (which include classical…
Prophet Inequalities: Competing with the Top Items is Easy
Mathieu Molina, Nicolas Gast, Patrick Loiseau +1
We explore a prophet inequality problem, where the values of a sequence of items are drawn i.i.d. from some distribution, and an online decision maker must select one item irrevoca…