69 citations · 269 across the 13 of their papers we have counts for
14 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…
Cluster moves with an entropic reservoir accelerate low-temperature simulations of three-dimensional spin glasses
Claudio Chilin, Enzo Marinari, Víctor Martín-Mayor +3
We present an algorithm for the simulation of three-dimensional spin glasses deep in the low-temperature phase: Parallel Tempering enhanced with Houdayer moves and with an entropic…
Overlap locking and non-perturbative effects in spin glasses
Silvio Franz, Giorgio Parisi, Federico Ricci-Tersenghi
We study the phenomenon of the locking of the order parameter (or synchronization) in spin glasses at low temperatures. When two systems with independent disorders are coupled, the…
Low energy excitations in a long prism geometry: testing the lower critical dimension of the Ising spin glass
Massimo Bernaschi, Luis Antonio Fernández, Isidoro González-Adalid Pemartín +3
We propose a general method for studying systems that display low-energy excitations in their low-temperature phase. We argue that in a rectangular right-prism geometry (the 3-dime…
Microcanonical simulated annealing: Massively parallel Monte Carlo simulations with sporadic random-number generation
M. Bernaschi, C. Chilin, L. A. Fernandez +7
Numerical simulations of models and theories that describe complex systems such as spin glasses are becoming increasingly important. Beyond fundamental research, these computationa…
The QISG suite: high-performance codes for studying Quantum Ising Spin Glasses
Massimo Bernaschi, Isidoro González-Adalid Pemartín, Víctor Martín-Mayor +1
We release a set of GPU programs for the study of the Quantum () Spin Glass on a square lattice, with binary couplings. The library contains two main codes: MCQSG (that carr…
The Quantum Transition of the Two-Dimensional Ising Spin Glass: A Tale of Two Gaps
Massimo Bernaschi, Isidoro González-Adalid Pemartín, Víctor Martín-Mayor +1
Quantum annealers are commercial devices aiming to solve very hard computational problems named spin glasses. Just like in metallurgic annealing one slowly cools a ferrous metal, q…
How we are leading a 3-XORSAT challenge: from the energy landscape to the algorithm and its efficient implementation on GPUs
M. Bernaschi, M. Bisson, M. Fatica +4
A recent 3-XORSAT challenge required to minimize a very complex and rough energy function, typical of glassy models with a random first order transition and a golf course like ener…
Critical interface: twisting spin glasses at
E. Brézin, S. Franz, G. Parisi
We consider identical copies of spin glasses in finite dimension coupled at the boundaries. This allows to identify the spin glass analogous of twisted boundary conditions in ferro…
Vibrational spectra in glasses
T. S. Grigera, V. Martin-Mayor, G. Parisi +1
The findings of X-ray and neutron scattering experiments on amorphous systems are interpreted within the framework of the theory of Euclidean random matrices. This allows to take i…
The dynamical structure factor in topologically disordered systems
V. Martin-Mayor, M. Mezard, G. Parisi +1
A computation of the dynamical structure factor of topologically disordered systems, where the disorder can be described in terms of euclidean random matrices, is presented. Among…
The dynamical structure factor in disordered systems
V. Martín-Mayor, G. Parisi, P. Verrocchio
We study the spectral width as a function of the external momentum for the dynamical structure factor of a disordered harmonic solid, considered as a toy model for supercooled liqu…
The four dimensional site-diluted Ising model: a finite-size scaling study
H. G. Ballesteros, L. A. Fernandez, V. Martin-Mayor +3
Using finite-size scaling techniques, we study the critical properties of the site-diluted Ising model in four dimensions. We carry out a high statistics Monte Carlo simulation for…
Interfaces and Lower Critical Dimension in a Spin Glass Model
S. Franz, G. Parisi, M. A. Virasoro
In this paper we try to estimate the lower critical dimension for replica symmetry breaking in spin glasses through the calculation of the additional free-energy required to create…