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arXiv · 2211.09296

Simulated bifurcation for higher-order cost functions

Taro Kanao·Hayato Goto
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Abstract

High-performance Ising machines for solving combinatorial optimization problems have been developed with digital processors implementing heuristic algorithms such as simulated bifurcation (SB). Although Ising machines have been designed for second-order cost functions, there are practical problems expressed naturally by higher-order cost functions. In this work, we extend SB to such higher-order cost functions. By solving a problem having third-order cost functions, we show that the higher-order SB can outperform not only the second-order SB with additional spin variables, but also simulated annealing applied directly to the third-order cost functions. This result suggests that the higher-order SB can be practically useful.

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Taro Kanao, Hayato Goto. 2022-11-17. Simulated bifurcation for higher-order cost functions. https://doi.org/10.35848/1882-0786%2Facaba9

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