局部线性嵌入(Local linear embedding,LLE)算法作为一种经典的非线性降维算法,在图像识别等领域取得了很好的应用效果,但仍存在一些缺陷,如在构造邻域图时使用欧氏距离,可能会出现“短路边”的情况,同时,会受到离群点的影响,导致鲁棒...局部线性嵌入(Local linear embedding,LLE)算法作为一种经典的非线性降维算法,在图像识别等领域取得了很好的应用效果,但仍存在一些缺陷,如在构造邻域图时使用欧氏距离,可能会出现“短路边”的情况,同时,会受到离群点的影响,导致鲁棒性较差。为解决以上问题,论文基于通勤时间距离(commute time distance,CTD)和Rank-Order距离提出了CRLLE(LLE based on CTD and Rank-Order distance)算法,并在ORL人脸数据集和IMM人脸数据集上进行实验。实验设置CRLLE算法与LLE算法、等距特征映射(Isomap)算法和主成分分析降维(PCA)算法三种维数简约方法进行比较,得出改进后的CRLLE算法的降维效果优于其他三种算法的结论。展开更多
The claim that there exists a transition of earthquake energy distribution between small and large earthquakes is checked using broadband radiated energy of earthquakes for global seismicity. Scattering of the relatio...The claim that there exists a transition of earthquake energy distribution between small and large earthquakes is checked using broadband radiated energy of earthquakes for global seismicity. Scattering of the relation between the magnitude and the broadband radiated energy makes it necessary to use the energy data directly. Rank-ordering statistics is applied to enhance the resolution in retrieving the power law distribution with undersampled data, namely, a few tens of events. Seen in the perspective of broadband radiated energy with higher resolution, there is no evidence for the kink in the frequency-energy distribution for large and small earthquakes. Instead, a single power law can well explain the data. For earthquakes with energy larger than 10<sup>14</sup> J, we find that the number N of events with energy E depends on E via N ∝ E-B, with the scaling constant B = 0.64 ± 0.04, corresponding to b = 0.95± 0.06.展开更多
文摘局部线性嵌入(Local linear embedding,LLE)算法作为一种经典的非线性降维算法,在图像识别等领域取得了很好的应用效果,但仍存在一些缺陷,如在构造邻域图时使用欧氏距离,可能会出现“短路边”的情况,同时,会受到离群点的影响,导致鲁棒性较差。为解决以上问题,论文基于通勤时间距离(commute time distance,CTD)和Rank-Order距离提出了CRLLE(LLE based on CTD and Rank-Order distance)算法,并在ORL人脸数据集和IMM人脸数据集上进行实验。实验设置CRLLE算法与LLE算法、等距特征映射(Isomap)算法和主成分分析降维(PCA)算法三种维数简约方法进行比较,得出改进后的CRLLE算法的降维效果优于其他三种算法的结论。
文摘The claim that there exists a transition of earthquake energy distribution between small and large earthquakes is checked using broadband radiated energy of earthquakes for global seismicity. Scattering of the relation between the magnitude and the broadband radiated energy makes it necessary to use the energy data directly. Rank-ordering statistics is applied to enhance the resolution in retrieving the power law distribution with undersampled data, namely, a few tens of events. Seen in the perspective of broadband radiated energy with higher resolution, there is no evidence for the kink in the frequency-energy distribution for large and small earthquakes. Instead, a single power law can well explain the data. For earthquakes with energy larger than 10<sup>14</sup> J, we find that the number N of events with energy E depends on E via N ∝ E-B, with the scaling constant B = 0.64 ± 0.04, corresponding to b = 0.95± 0.06.
