4 citations · 4 across the 5 of their papers we have counts for
5 papers
Gibbs Measures on Multidimensional Spaces. Equivalences and a Groupoid Approach
Rodrigo Bissacot, Bruno Hideki Fukushima-Kimura, Rafael Pereira Lima +1
We consider some of the main notions of Gibbs measures on subshifts introduced by different communities, such as dynamical systems, probability, operator algebras, and mathematical…
Mathematical aspects of the Digital Annealer's simulated annealing algorithm
Bruno Hideki Fukushima-Kimura, Noe Kawamoto, Eitaro Noda +1
The Digital Annealer is a CMOS hardware designed by Fujitsu Laboratories for high-speed solving of Quadratic Unconstrained Binary Optimization (QUBO) problems that could be difficu…
Stochastic optimization: Glauber dynamics versus stochastic cellular automata
Bruno Hideki Fukushima-Kimura, Yoshinori Kamijima, Kazushi Kawamura +1
The topic we address in this paper concerns the minimization of a Hamiltonian function for an Ising model through the application of simulated annealing algorithms based on (single…
Stability of energy landscape for Ising models
Bruno Hideki Fukushima-Kimura, Akira Sakai, Hisayoshi Toyokawa +1
In this paper, we explore the stability of the energy landscape of an Ising Hamiltonian when subjected to two kinds of perturbations: a perturbation on the coupling coefficients an…
Mixing time and simulated annealing for the stochastic cellular automata
Bruno Hideki Fukushima-Kimura, Satoshi Handa, Katsuhiro Kamakura +3
Finding a ground state of a given Hamiltonian of an Ising model on a graph is an important but hard problem. The standard approach for this kind of problem is the applica…