A method to suppress local minima for symmetrical DOPO networks

Autor:	Amoh, Seiya, Ito, Daisuke, Ueta, Tetsushi
Rok vydání:	2020
Předmět:	Nonlinear Sciences - Adaptation and Self-Organizing Systems Mathematics - Dynamical Systems Physics - Optics
Druh dokumentu:	Working Paper
Popis:	Coherent Ising machine (CIM) implemented by degenerate optical parametric oscillator (DOPO) networks can solve some combinatorial optimization problems. However, when the network structure has a certain type of symmetry, optimal solutions are not always detected since the search process may be trapped by local minima. In addition, a uniform pump rate for DOPOs in the conventional operation cannot overcome this problem. In this paper proposes a method to avoid trapping of the local minima by applying a control input in a pump rate of an appropriate node. This controller breaks the symmetrical property and causes to change the bifurcation structure temporarily, then it guides transient responses into the global minima. We show several numerical simulation results. Comment: This paper is under article submission and will be published on Nonlinear Theory and Its Applications, IEICE(Vol.E11-N, No.4, Oct. 2020)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.08629 Zobrazit plný text záznamu View this record from Arxiv