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数: (9) 式中:V(,)表示定义在有类别标记文档上的损失函数；γA用于控制在相关希尔伯特空间(Hilbert Space)上决策函数f的复杂性；γM用于控制在大间隔数据分布所展示的内在流形几何结构上决策函数f的复杂性. 根据核空间理论中的表示定理可知:式(9)中的最小优化问题的解可由有标记和无标记样本数据的如下扩展构成: ......
; (9) 解方程组(8)和(9),可得最优的预测算子系数. 2 支持向量回归机原理 支持向量机回归(Support vector regression, SVR)的基本思想[12]是通过一个非线性映射将数据x映射到高维特征空间(Hilbert空间),然后在这个空间中寻......
] Huang N E, Shen Z, Long S R, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1998, 454: 903-995. [11] LOH Chin-hsiung, WU Tsu-chin, Huang N E. Application of the empirical mode decomposition-Hilbert spectrum method to identify near-fault......
] NIHEI K T, HILBERT L B, COOK N G W, NAKAGAWA S, MYER L R. Frictional effects on the volumetric strain of sandstone [J]. International Journal of Rock Mechanics and Mining Sciences, 2000, 37(1-2): 121-132......
squares support vector machines[M]. Singapore: World Scientific Publishing Company, 2002. [15] Rosipal R, Leonard J T. Kernel partial least squares regression in reproducing kernel hilbert space[J......
types[J]. Progress in Geophysics, 2008, 23(4): 1250-1253. [16] Nabighian M N. Toward a three-dimensional automatic interpretation of potential field data via generalized Hilbert transforms: Fundamental......
并非都是稀疏信号,这就需要先对信号进行稀疏分解.信号的稀疏表示具有很多的优良特性,能有效进行数据压缩和特征提取. 信号分解一般是基于完备正交基分解,设n维Hilbert空间中存在一组完备正交基,则对任意一个n维信号s,下信号分解形式为 ......
in Geophysics, 2007, 22(4): 1147-1152. [13] HUANG N E, SHEN Z, LONG S R, et al. The empirical mode decomposition and the hilbert spectrum for nonlinear and non-stationary time series analysis[C......
the empirical mode decomposition (EMD) technique, and then to establish the relationship between the characteristic parameter and the flow conditions. The EMD method is an inseparable step of the Hilbert-Huang transform (HHT), which is especially suitable for the exploration of the local properties of a signal. 2 Proposed method and simulation The Hilbert-Huang transform is a quite new time-frequency......
squares for nonlinear regression and discrimination[J]. Neural Network World, 2003, 13(3): 291-300. [15] Rosipal R, Trejo L J. Kernel partial least squares regression in reproducing kernel Hilbert......
