基于改进量子进化算法的稀疏特征提取方法

A Sparse Feature Extraction Method Based on Improved Quantum Evolutionary Algorithm

  • 摘要: 特征提取是进行模式识别的关键环节,利用稀疏分解将信号表达为具有一定结构特征的原子组合,为提取信号内部特征信息提供了一种有效途径.本文提出基于改进量子进化算法的稀疏特征提取方法,利用改进量子进化算法的并行性和全局搜索能力,使信号在过完备的原子库上实现快速精确的稀疏分解.对过完备的原子库进行量子比特概率幅编码,通过量子比特的交叉进化-变异操作更新原子库,以信号残差与原子的内积作为量子进化目标函数,筛选出最具信号结构特征的原子,凭借稀疏重构实现信号的特征提取.仿真信号和故障轴承振动信号的稀疏特征提取结果表明了所提方法的有效性和优越性.

     

    Abstract: Feature extraction is the key to pattern recognition. Sparse decomposition can be used to express a signal as a combination of atoms with certain structural features, being an effective way to extract the internal feature information of the signal. A sparse feature extraction method based on improved quantum evolutionary algorithm (IQEA) was proposed based on the parallelism and global search ability of IQEA to achieve fast and accurate sparse decomposition of signals on an over-complete atom dictionary. Firstly, the atoms in the dictionary were coded with probabilistic amplitudes of quantum bits, and updated by evolution-mutation cross operation of quantum bits. And then, taking the inner products of signal residual and atoms as the objective function of quantum evolution, the most characteristic atoms with signal structure were selected, and the feature extraction of signals was realized based on sparse reconstruction. Finally, the feature extraction of simulation signal and fault bearing vibration signal were carried out. The results show the effectiveness and superiority of the proposed method.

     

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