Improved Particle Swarm Optimization Based on Gradient Descent Method

Wei-feng Lu, Bingyu Cai, Rui Gu
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引用次数: 1

Abstract

Due to the lack of effective guidance on particle's speed and precocity in standard particle swarm optimization, a particle swarm optimization on the basis of gradient information and time-varying acceleration coefficient (TVAC), namely gradient descent particle swarm optimization (GDPSO), is proposed. By combining the direct method and the indirect method to solve the unconstrained optimization problem, the gradient information is used to modify the velocity term, guide the particle to conduct local efficient search, and improve the global explore ability of the algorithm through time-varying acceleration coefficient strategy. On the basis of simulation experiment and comparison with other algorithms, the proposed particle swarm optimization enjoys a fast convergence speed and is not easy to get trapped into local optimal, with excellent ability to solve complex multi-modal problems.
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基于梯度下降法的改进粒子群优化
针对标准粒子群优化中缺乏对粒子速度和早熟的有效引导的问题,提出了一种基于梯度信息和时变加速度系数(TVAC)的粒子群优化方法,即梯度下降粒子群优化(GDPSO)。结合直接法和间接法求解无约束优化问题,利用梯度信息修正速度项,引导粒子进行局部高效搜索,并通过时变加速度系数策略提高算法的全局探索能力。仿真实验和与其他算法的比较表明,本文提出的粒子群优化算法收敛速度快,不易陷入局部最优,具有较好的解决复杂多模态问题的能力。
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