108 citations · 203 across the 7 of their papers we have counts for
9 papers
Towards Certifiable State Estimation under Observability Degeneracy
Baoshan Song
Certifiable optimization provides global optimality guarantees for non-convex state estimation in robotics. However, under severe physical sensing degeneracy, convex Semidefinite P…
The Longest Increasing Subsequence Problem revisited
Silvio Franz, Roberto Mulet
The Longest Increasing Subsequence problem - a classic combinatorial challenge with deep connections to statistical mechanics- exhibits a rich thermodynamic landscape. Introducing…
Partial annealing and pattern decorrelation in associative neural networks
Linda Albanese, Andrea Alessandrelli, Adriano Barra +2
Using the Hopfield model as a benchmark case, the present work focuses on the investigation of partially annealed associative neural networks, wherein neural dynamics is coupled to…
Soft modes in vector spin glass models on sparse random graphs
Silvio Franz, Cosimo Lupo, Flavio Nicoletti +2
We study numerically the Hessian of low-lying minima of vector spin glass models defined on random regular graphs. We consider the two-component (XY) and three-component (Heisenber…
Exact solutions for diluted spin glasses and optimization problems
S. Franz, M. Leone, F. Ricci-Tersenghi +1
We study the low temperature properties of p-spin glass models with finite connectivity and of some optimization problems. Using a one-step functional replica symmetry breaking Ans…
Spectral Statistics of Instantaneous Normal Modes in Liquids and Random Matrices
Srikanth Sastry, Nivedita Deo, Silvio Franz
We study the statistical properties of eigenvalues of the Hessian matrix (matrix of second derivatives of the potential energy) for a classical atomic liquid, and compar…
Random Heteropolymer Dynamics
Zoran Konkoli, John Hertz, Silvio Franz
We study the Langevin dynamics of the standard random heteropolymer model by mapping the problem to a supersymmetric field theory using the Martin-Siggia-Rose formalism. The result…
Ultrametricity in 3D Edwards-Anderson spin glasses
Silvio Franz, Federico Ricci-Tersenghi
We perform an accurate test of Ultrametricity in the aging dynamics of the three dimensional Edwards-Anderson spin glass. Our method consists in considering the evolution in parall…
On chaos in mean field spin glasses
S. Franz, M. Ney-Nifle
We study the correlations between two equilibrium states of SK spin glasses at different temperatures or magnetic fields. The question, presiously investigated by Kondor and Kondor…