98 citations · 698 across the 44 of their papers we have counts for
54 papers
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…
Strong replica symmetry for high-dimensional disordered log-concave Gibbs measures
Jean Barbier, Dmitry Panchenko, Manuel Sáenz
We consider a generic class of log-concave, possibly random, (Gibbs) measures. We prove the concentration of an infinite family of order parameters called multioverlaps. Because th…
Strong replica symmetry in high-dimensional optimal Bayesian inference
Jean Barbier, Dmitry Panchenko
We consider generic optimal Bayesian inference, namely, models of signal reconstruction where the posterior distribution and all hyperparameters are known. Under a standard assumpt…
Extending the Parisi formula along a Hamilton-Jacobi equation
Jean-Christophe Mourrat, Dmitry Panchenko
We study the free energy of mixed -spin spin glass models enriched with an additional magnetic field given by the canonical Gaussian field associated with a Ruelle probability c…
Singular spin-flip interactions for the 1D Schrödinger operator
Vladimir Kulinskii, Dmitry Panchenko
We consider singular self-adjoint extensions for one-dimensional Schrödinger operator for two-component wave function within the framework of the distribution theory for discontinu…
The generalized TAP free energy II
Wei-Kuo Chen, Dmitry Panchenko, Eliran Subag
In a recent paper [14], we developed the generalized TAP approach for mixed -spin models with Ising spins at positive temperature. Here we extend these results in two directions…