二、非线性支持向量机

在以上二维点的实例讲解中,我们假设训练样本是线性可分的,即存在一个划分超平面能将训练样本正确分类。然而在现实任务中,原始样本空间内,也许并不存在一个能正确划分两类样本的超平面。如图 2-8-7 所示,椭圆内的点代表“+”数据,椭圆外的点代表“-”数据,而这两类数据都无法用一条直线进行分割,如图 2-8-7所示的两条直线都是失败的划分。[br][center][img]https://s21.ax1x.com/2025/02/20/pEQKYAs.png[/img][br] 图 2-8-7 二维平面无法分割的样本集[/center]
[size=100] 那如何解决非线性可分问题呢?[/size][br] 对于原空间中的非线性可分问题,可将样本从原始空间映射到一个更高维的特征空间,使得样本在这个特征空间内线性可分。如图 2-8-8所示,可以将以上数据集的二维数据映射到一个合适的三维空间,就能找到一个合适的划分超平面。幸运的是,[b]如果原始空间是有限维,即属性数有限,那么一定存在一个高维特征空间使样本可分。[/b][color=#0000ff][b][url=https://www.geogebra.org/m/haxjdfep]启发案例:一维升二维[/url][/b][/color][icon]/images/ggb/toolbar/mode_zoomin.png[/icon],如果是二维不可分割,如何在三维空间中解决问题,见如下数字动态图,即可观看二维数据映射到三维空间后的各点分布。[br] [center][img]https://s21.ax1x.com/2025/02/20/pEQKa90.png[/img] [br]图 2-8-8 椭圆数据二维迁三维示意图[/center]
[br] 在图 2-8-8 中,二维平面中的所有数据点被经过函数变换后映射到三维空间。可以直观地看到,映射后的数据在三维空间形成了一个明显的分隔带。见以下数字动态图,即可观看到二维数据经过核函数转换后迁移到三维空间的过程。
那么如何将低维空间数据映射到高维空间,这里我们要用到核函数(Kernel Function)。[b]核函数是对低维的属性值进行某种计算,实现在低维下计算出高维映射后的内积结果的一种函数。简单来讲,核函数就是关于低维特征值与高维特征值之间的内积函数。[/b][br] [br] 设升维函数为[math]\varnothing:R^2\longrightarrow R^3,\left(x_1,x_2\right)\longrightarrow\left(z_1,z_2,z_3\right)=\left(x^2_1,\sqrt{2x_1x_2},x^2_2\right)[/math] ,则[br] [br] [math]<\varnothing\left(x_1,x_2\right),\varnothing\left(x'_1,x'_2\right)>=<\left(z_1,z_2,z_3\right),\left(z'_1,z'_2,z'_3\right)>=<\left(x^2_1,\sqrt{2x_1x_2},x_2^2\right),\left(x^{'2}_1,\sqrt{2x'_1x'_2},x'_2^2\right)>[/math][br][br] [math]=x^2_1x'^2_1+2x_1x_2x'_1x'_2+x^2_2x'^2_2=\left(x_1x'_1+x_2x_2'\right)^2=\left(\right)^2=K\left(x,x'\right)[/math][br] [br] 这里,[math]K=\left(x,x'\right)[/math]即为核函数。
将以上二维平面上的数据点列示如下,其中设“+”数据点为类别“0”,“-”数据点为类别“1”。升维函数 [math]\varnothing[/math] 为 [math]\left(x_1,x_2\right)\longrightarrow\left(z_1,z_2,z_3\right)=\left(x^2_1,\sqrt{2x_1x_2},x^2_2\right)[/math] 。升维后数据点的映射表如表 2-8-1 所示。[br] [br] 表 2-8-1 升维后的数据点映射表[br][img]data:image/png;base64,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[/img]
数据升维之后,由图 2-8-8 可以清晰看出,两类数据在三维空间中形成明显的分隔带。现在的任务是找出支持向量,借助 Orange 工具预测结果,如图 2-8-9 所示。[br][center][img]https://s21.ax1x.com/2025/02/20/pEQMM5R.png[/img][br]图 2-8-9 SVM 在 Orange 中的流程[/center]
通过可视化工具可以看出,该数据集的支持向量有 5 个数据点,如图 2-8-10 和表 2-8-2所示。[br][center][img]https://s21.ax1x.com/2025/02/20/pEQMUVH.png[/img][br] 图 2-8-10 椭圆数据的支持向量点[/center] [br] 表 2-8-2 椭圆数据的支持向量点坐标值[br][img]data:image/png;base64,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[/img]
在确定了支持向量之后,就需要按照超平面的函数方程,按步骤求解出 [math]w[/math] 值和 [math]b[/math] 值,将以上支持向量的数据代入目标函数及约束条件,可得:[br][br][math]min\frac{1}{2}(29.36a^2_1+39.36a^2_2+24.64a^2_2+3.34a^2_4+2.5a^2_{45^{^2}})+3.09a_1a_2+19.69a_1a_3-9.51a_1a_4-0.9a_1a_5+1.73a_2a_3-0.13a_2a_4-6.41a_2a_5+8.03a_3a_4-4.62a_3a_5+0.74a_4a_5-a_1-a_2-a_3-a_4-a_5[/math][br][br] [math]st.a_1+a_2+a_3-a_4-a_5=0[/math][br][br] [math]a_1,a_2,a_3,a_4,a_5\ge0[/math]
由于以上算式已经超出了手动求解的范围,可以引入求解线性规划问题的专业软件Lingo 18.0 进行求解。输入算式,解得[br][br] [math]a_1=\text{0.106 18},a_2=\text{0.064 81},a_3=\text{0.134 57}[/math][br] [br] [math]a_4=\text{0.305 21},a_5=\text{0.000 34}[/math]
软件求解的结果报告如图 2-8-11 所示。[br][center][img]https://s21.ax1x.com/2025/02/20/pEQMdIA.png[/img][br]图2-8-11 支持向量点线性规划求解窗口[/center]
根据超平面 [math]w[/math] 值求解公式,[math]w=\sum^n_{i=1}a_iy_i\varnothing\left(x_n\right)[/math] ,代入数值计算:[br] [img]https://s21.ax1x.com/2025/02/20/pEQMjiR.png[/img][br]
根据超平面 [math]b[/math] 值求解算式:[math]b=y_i-w^T\varnothing\left(x_i\right)[/math] ,这里代入[math]x_1[/math]的值。[br] [img]https://s21.ax1x.com/2025/02/20/pEQlljK.png[/img][br][br] 至此,求得此数据集的分类超平面方程为 [math]0.62x+0.02y+0.48z-2.072=0[/math],超平面图示如上图 2-8-12所示。[br]
从这个算例中可以显示支持向量机的一个重要性质:[b]训练完成后,大部分的训练样本都不需保留,最终模型仅与支持向量有关。[/b]

Información: 二、非线性支持向量机