This reformulation yields: H(x) = xT ˆQx, (5) where: • x: the binary vector of variables xi, • ˆQ: a symmetric matrix whose elements derive from the Ising model parameters

Mapping to QUBO The Ising model can be transformed into a QUBO problem using the substitution si = 2 xi − 1, where xi ∈ {0, 1}

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math.OC · 2024-12-30 · conditional · novelty 3.0

Simulated Bifurcation on a single GPU matches the best known modularity scores for the Karate Club and IEEE 33-bus community detection benchmarks.

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Community detection by simulated bifurcation math.OC · 2024-12-30 · conditional · none · ref 2
Simulated Bifurcation on a single GPU matches the best known modularity scores for the Karate Club and IEEE 33-bus community detection benchmarks.