A self-interacting dynamics that mimics the standard Consensus-Based Optimization (CBO) model is introduced. This single-particle dynamics is shown to converge to a unique invariant measure that approximates the global minimum of a given function. As an application, its connection to CBO with Personal Best introduced by C. Totzeck and M.-T. Wolfram (Math. Biosci. Eng., 2020) has been established.

中文翻译：

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自交互 CBO：存在、唯一性和长期收敛


引入了一种模拟标准基于共识的优化 （CBO） 模型的自交互动力学。这种单粒子动力学被证明收敛到一个唯一的不变度量，该度量近似于给定函数的全局最小值。作为一个应用程序，它与 CBO 的联系与 C. Totzeck 和 M.-T.Wolfram （Math. Biosci. Eng.， 2020） 已经成立。