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The Particle Swarm Optimization Algorithm Based on Dynamic Chaotic Perturbations and Its Application to K-Means

机译:基于动态混沌扰动的粒子群优化算法及其在k均值的应用

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摘要

The dynamic chaotic perturbations are introduced for the standard particle swarm optimization. In the paper, small disturbances are used when the optimal value changed. The chaotic disturbances within dynamical range of disturbances are used when the optimal value unchanged many times. This not only can reduce the blind search of the chaotic particle swarm algorithm, and can improve the search speed and search efficiency, so that the limited time will be spent on the most effective search. According to the characteristics of different chaotic map, the Tent mapping is used to generate dynamical range of disturbance and the Chebyshev mapping is used to chaotically perturb between the global optimal and the optimal or sub-optimal in individual optimal solution. The algorithm is applied to the K-means algorithm, which can overcome the shortcomings of the local optimum and the sensitive to initial value in the K-means algorithm, can stably acquire the global optimal solution.
机译:引入了标准粒子群优化的动态混沌扰动。在本文中,当最佳值改变时使用小扰动。当最佳值不变多次时,使用动态干扰范围内的混沌扰动。这不仅可以减少混沌粒子群算法的盲目搜索,并且可以提高搜索速度和搜索效率,以便在最有效的搜索中度过有限的时间。根据不同混沌图的特征,帐篷映射用于产生动态干扰范围,并且Chebyshev映射用于在单个最佳解决方案中的全局最佳和最佳或次优之间切断扰乱。该算法应用于K-means算法,可以克服局部最佳且对K均值算法中初始值的缺点,可以稳定地获取全局最优解。

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