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20062013
most citedGeneralization error bounds in semi-supervised classification under the cluster assumption

109 citations · 271 across the 4 of their papers we have counts for

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math.ST201321 cited

Bounded regret in stochastic multi-armed bandits

Sébastien Bubeck, Vianney Perchet, Philippe Rigollet

We study the stochastic multi-armed bandit problem when one knows the value of an optimal arm, as a well as a positive lower bound on the smallest positive gap . W…

math.ST20126 cited

Estimation of Covariance Matrices under Sparsity Constraints

Philippe Rigollet, Alexandre Tsybakov

We prove optimal sparsity oracle inequalities for the estimation of covariance matrix under the Frobenius norm. In particular we explore various sparsity structures on the underlyi…

math.ST201251 cited

Deviation optimal learning using greedy Q-aggregation

Dong Dai, Philippe Rigollet, Tong Zhang

Given a finite family of functions, the goal of model selection aggregation is to construct a procedure that mimics the function from this family that is the closest to an unknown…

math.ST201076 cited

Nonparametric Bandits with Covariates

Philippe Rigollet, Assaf Zeevi

We consider a bandit problem which involves sequential sampling from two populations (arms). Each arm produces a noisy reward realization which depends on an observable random cova…

math.ST2006109 cited

Generalization error bounds in semi-supervised classification under the cluster assumption

Philippe Rigollet

We consider semi-supervised classification when part of the available data is unlabeled. These unlabeled data can be useful for the classification problem when we make an assumptio…