3 papers
cond-mat.dis-nn2026
Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass
Andrea Vincenzo Dell'Abate, Louise Budzynski
A common assumption in theoretical models of Bayesian inference is that the signal has i.i.d. components. To study the effect of correlations in the signal prior, we consider a min…
cond-mat.dis-nn2025
Interacting Copies of Random Constraint Satisfaction Problems
Maria Chiara Angelini, Louise Budzynski, Federico Ricci-Tersenghi
We study a system of coupled copies of a well-known constraint satisfaction problem (random hypergraph bicoloring) to examine how the ferromagnetic coupling between the copie…
cond-mat.dis-nn2025
Evidence of Replica Symmetry Breaking under the Nishimori conditions in epidemic inference on graphs
Alfredo Braunstein, Louise Budzynski, Matteo Mariani +1
In Bayesian inference, computing the posterior distribution from the data is typically a non-trivial problem, which usually requires approximations such as mean-field approaches or…