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Optimization Algorithms Based on Renormalization Group

Naoki Kawashima
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Abstract

Global changes of states are of crucial importance in optimization algorithms. We review some heuristic algorithms in which global updates are realized by a sort of real-space renormalization group transformation. Emphasis is on the relationship between the structure of low-energy excitations and ``block-spins'' appearing in the algorithms. We also discuss the implication of existence of a finite-temperature phase transition on the computational complexity of the ground-state problem.

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Naoki Kawashima. 1999-11-18. Optimization Algorithms Based on Renormalization Group. https://doi.org/10.1143/ptps.138.448

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