8 citations · 33 across the 11 of their papers we have counts for
11 papers
A contiguity approach to replica symmetric marginals
Ernesto Mordecki, Anas A. Rahman, Manuel Sáenz
We develop a probabilistic cavity-contiguity framework for proving replica-symmetric convergence of local marginals in mean-field Gibbs systems. The approach is based on cavity dec…
Characterizing Finite-Dimensional Posterior Marginals in High-Dimensional GLMs via Leave-One-Out
Manuel Sáenz, Pragya Sur
We investigate Bayes posterior distributions in high-dimensional generalized linear models (GLMs) under the proportional asymptotics regime, where the number of features and sample…
The price of ignorance: how much does it cost to forget noise structure in low-rank matrix estimation?
Jean Barbier, TianQi Hou, Marco Mondelli +1
We consider the problem of estimating a rank-1 signal corrupted by structured rotationally invariant noise, and address the following question: how well do inference algorithms per…
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…
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…
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…
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…
Asymptotic optimality of degree-greedy discovering of independent sets in Configuration Model graphs
Matthieu Jonckheere, Manuel Sáenz
Finding independent sets of maximum size in fixed graphs is well known to be an NP-hard task. Using scaling limits, we characterise the asymptotics of sequential degree-greedy expl…
Natural information measures in Cox' approach for contextual probabilistic theories
F. Holik, A. Plastino, M. Sáenz
In this article we provide, from a novel perspective, arguments that support the idea that, in the wake of Cox' approach to probability theory, von Neumann's entropy should be the…
Generalized probabilities in statistical theories
F. Holik, C. Massri, A. Plastino +1
In this review article we present different formal frameworks for the description of generalized probabilities in statistical theories. We discuss the particular cases of probabili…
A discussion on the origin of quantum probabilities
Federico Holik, Angel Plastino, Manuel Sáenz
We study the origin of quantum probabilities as arising from non-boolean propositional-operational structures. We apply the method developed by Cox to non distributive lattices and…