子空间序列 sequence of subspaces
- 摘要对拓扑空间中的序列、网、滤子基和滤子的收敛性质进行了研究,证明了滤子收敛与滤子对应的网收敛是一致的,并证明了滤子导出网与对应网是等价的。
The article studies the convergence properties of the sequence, net, filter base and filter in top space, proves the consistency between the convergences of the filter and its corresponding net, and proves the equivalence of filter derived net and its corresponding net. - 利用相空间重建理论与G-P算法对大地电磁场的时间序列进行相空间重构,表明大地电磁场时间序列相空间的吸引子是存在的,大地电磁场虽然看似随机的天然信号,事实上它是具有内在确定性的随机信号。
In this paper the phase space of the time series of nature field is reconstructed by the theory of phase space reconstructing and G-P algorithm, the results show that the phase space of nature filed has the chaotic attractor, although the nature field is similarity with random nature signal, it has intrinsic certainty random signal and is likely to chaotic. - 提出一种将混沌时间序列和神经网络相结合的短期负荷预测方法,利用混沌理论重构相空间的吸引子,然后用BP神经网络来拟合空间吸引子的演化,同时利用空间欧氏距离来选取神经网络的输入样本,实例预测结果表明所提出方法的有效性和可行性.
A method of short-term load forecasting based on chaotic time series and neural networks is presented in this paper.Firstly,attractors in phase spaces using chaotic theory is reconstructed.Secondly,the attractor's evolvement using BP neural networks is made,and the neural network's input data using Euclid distance is selected.The result analysis of the practical examples show that the proposed method is effective and feasible.
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