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math.PR2021
Marginals of a spherical spin glass model with correlated disorder
Jean Barbier, Manuel Sáenz
In this paper we prove the weak convergence, in a high-temperature phase, of the finite marginals of the Gibbs measure associated to a symmetric spherical spin glass model with cor…
math.PR2021
Performance of Bayesian linear regression in a model with mismatch
Jean Barbier, Wei-Kuo Chen, Dmitry Panchenko +1
In this paper we analyze, for a model of linear regression with gaussian covariates, the performance of a Bayesian estimator given by the mean of a log-concave posterior distributi…
cs.DS2021
Exact asymptotic characterisation of running time for approximate gradient descent on random graphs
Matthieu Jonckheere, Manuel Sáenz
In this work we study the time complexity for the search of local minima in random graphs whose vertices have i.i.d. cost values. We show that, for Erdös-Rényi graphs with connecti…