16 citations · 27 across the 8 of their papers we have counts for
9 papers
REM universality and Poisson-Dirichlet Gibbs weights for linear random energy
Francesco Concetti, Simone Franchini
We study the Hamiltonian where are i.i.d.\ real random variables and are i.i.d.\ Ising spins. We consider the energy levels obt…
Properties of the full replica symmetry breaking free energy functional of the Ising spin glass on random regular graph
Francesco Concetti
We analyze the full replica symmetry breaking (full--RSB) free energy functional for the Ising spin glass on a random regular graph proposed by the author in \cite{MyPaper}. We pro…
Message Passing Descent for Efficient Machine Learning
Francesco Concetti, Michael Chertkov
We propose a new iterative optimization method for the {\bf Data-Fitting} (DF) problem in Machine Learning, e.g. Neural Network (NN) training. The approach relies on {\bf Graphical…
The full replica symmetry breaking solution in mean-field spin glass models
Francesco Concetti
This thesis focus on the extension of the Parisi full replica symmetry breaking solution to the Ising spin glass on a random regular graph. We propose a new martingale approach, th…
Properties of the full replica symmetry breaking free energy functional of the Ising spin glass on random regular graph
Francesco Concetti
The full replica symmetry breaking free energy of the Ising spin glass on random regular graphs is given by the solutions of two auxiliary variational problems inside a global (phy…
The full replica symmetry breaking in the Ising spin glass on random regular graph
Francesco Concetti
In this paper, we extend the full replica symmetry breaking scheme to the Ising spin glass on a random regular graph. We propose a new martingale approach, that overcomes the limit…