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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…
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…