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stat.ML2024

Optimal level set estimation for non-parametric tournament and crowdsourcing problems

Maximilian Graf, Alexandra Carpentier, Nicolas Verzelen

Motivated by crowdsourcing, we consider a problem where we partially observe the correctness of the answers of experts on questions. In this paper, we assume that both the…

math.ST2024

Seriation of Toeplitz and latent position matrices: optimal rates and computational trade-offs

Clément Berenfeld, Alexandra Carpentier, Nicolas Verzelen

In this paper, we consider the problem of seriation of a permuted structured matrix based on noisy observations. The entries of the matrix relate to an expected quantification of i…

stat.ML2024

Active clustering with bandit feedback

Victor Thuot, Alexandra Carpentier, Christophe Giraud +1

We investigate the Active Clustering Problem (ACP). A learner interacts with an -armed stochastic bandit with -dimensional subGaussian feedback. There exists a hidden partiti…

math.ST2024

Minimax optimal seriation in polynomial time

Yann Issartel, Christophe Giraud, Nicolas Verzelen

We consider the seriation problem, whose goal is to recover a hidden ordering from a noisy observation of a permuted Robinson matrix. We establish sharp minimax rates under average…

math.ST2024

Computation-information gap in high-dimensional clustering

Bertrand Even, Christophe Giraud, Nicolas Verzelen

We investigate the existence of a fundamental computation-information gap for the problem of clustering a mixture of isotropic Gaussian in the high-dimensional regime, where the am…