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math.ST2023
Optimal rates for ranking a permuted isotonic matrix in polynomial time
Emmanuel Pilliat, Alexandra Carpentier, Nicolas Verzelen
We consider a ranking problem where we have noisy observations from a matrix with isotonic columns whose rows have been permuted by some permutation *. This encompasses many mo…
math.ST2012
Minimax Number of Strata for Online Stratified Sampling given Noisy Samples
Alexandra Carpentier, Rémi Munos
We consider the problem of online stratified sampling for Monte Carlo integration of a function given a finite budget of noisy evaluations to the function. More precisely we fo…
math.ST2012
Bandit Theory meets Compressed Sensing for high dimensional Stochastic Linear Bandit
Alexandra Carpentier, Rémi Munos
We consider a linear stochastic bandit problem where the dimension of the unknown parameter is larger than the sampling budget . In such cases, it is in general impossib…