更新完：SVM。手写识别案例

docs/6.支持向量机.md

@@ -151,4 +151,21 @@ SMO伪代码大致如下：
 
 > SVM完整版：使用完整 Platt SMO算法加速优化
 
-* 优化点：选择alpha的方式不同。
+代码可参考 svm-complete_Non-Kernel.py
+* 优化点：选择alpha的方式不同。
+
+## 在复杂数据上应用核函数
+
+* 对于线性可分的情况，效果明显
+* 对于非线性的情况也一样，此时需要用到一种叫`核函数(kernel)`的工具将数据转化为分类器易于理解的形式。
+
+> 利用核函数将数据映射到高维空间
+
+* 使用核函数：可以将数据从某个特征空间到另一个特征空间的映射。（通常情况下：这种映射会将低维特征空间映射到高维空间。）
+* 如果觉得特征空间很装逼、很难理解。
+* 可以把核函数想象成一个包装器(wrapper)或者是接口(interface)，它能将数据从某个很难处理的形式转换成为另一个较容易处理的形式。
+* 经过空间转换后：低维需要解决的非线性问题，就变成了高维需要解决的线性问题。
+* SVM优化特别好的地方，在于所有的运算都可以写成内积(inner product: 是指2个向量相乘，得到单个标量 或者 数值)；内核替换成核函数的方式被称为`核技巧(kernel trick)`或者`核"变电"(kernel substation)`
+* 核函数并不仅仅应用于支持向量机，很多其他的机器学习算法也都用到核函数。最流行的核函数：径向基函数(radial basis function)
+* 径向基函数的高斯版本，其具体的公式为：
+* ![径向基函数的高斯版本](/images/6.SVM/SVM_6_radial-basis-function.jpg)

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input/6.SVM/testDigits/1_31.txt

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input/6.SVM/testDigits/1_32.txt

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input/6.SVM/testDigits/1_33.txt

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input/6.SVM/testDigits/1_34.txt

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input/6.SVM/testDigits/1_35.txt

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input/6.SVM/testDigits/1_36.txt

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input/6.SVM/testDigits/1_37.txt

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input/6.SVM/testDigits/1_38.txt

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input/6.SVM/testDigits/1_39.txt

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input/6.SVM/testDigits/1_4.txt

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input/6.SVM/testDigits/1_40.txt

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input/6.SVM/testDigits/1_41.txt

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input/6.SVM/testDigits/1_42.txt

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input/6.SVM/testDigits/1_43.txt

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input/6.SVM/testDigits/1_44.txt

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input/6.SVM/testDigits/1_45.txt

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input/6.SVM/testDigits/1_46.txt

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input/6.SVM/testDigits/1_47.txt

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input/6.SVM/testDigits/1_48.txt

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input/6.SVM/testDigits/1_49.txt

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input/6.SVM/testDigits/1_5.txt

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input/6.SVM/testDigits/1_50.txt

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input/6.SVM/testDigits/1_51.txt

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input/6.SVM/testDigits/1_52.txt

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input/6.SVM/testDigits/1_53.txt

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input/6.SVM/testDigits/1_54.txt

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input/6.SVM/testDigits/1_55.txt

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input/6.SVM/testDigits/1_56.txt

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input/6.SVM/testDigits/1_57.txt

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input/6.SVM/testDigits/1_58.txt

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input/6.SVM/testDigits/1_59.txt

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input/6.SVM/testDigits/1_6.txt

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input/6.SVM/testDigits/1_60.txt

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input/6.SVM/testDigits/1_61.txt

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input/6.SVM/testDigits/1_62.txt

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input/6.SVM/testDigits/1_63.txt

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input/6.SVM/testDigits/1_64.txt

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input/6.SVM/testDigits/1_65.txt

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input/6.SVM/testDigits/1_66.txt

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input/6.SVM/testDigits/1_67.txt

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input/6.SVM/testDigits/1_68.txt

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input/6.SVM/testDigits/1_69.txt

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input/6.SVM/testDigits/1_7.txt

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input/6.SVM/testDigits/1_70.txt

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input/6.SVM/testDigits/1_71.txt

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input/6.SVM/testDigits/1_72.txt

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input/6.SVM/testDigits/1_73.txt

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input/6.SVM/testDigits/1_74.txt

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input/6.SVM/testDigits/1_75.txt

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input/6.SVM/testDigits/1_76.txt

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input/6.SVM/testDigits/1_77.txt

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input/6.SVM/testDigits/1_78.txt

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input/6.SVM/testDigits/1_79.txt

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input/6.SVM/testDigits/1_8.txt

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input/6.SVM/testDigits/1_80.txt

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input/6.SVM/testDigits/1_81.txt

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input/6.SVM/testDigits/1_82.txt

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input/6.SVM/testDigits/1_83.txt

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input/6.SVM/testDigits/1_84.txt

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input/6.SVM/testDigits/1_85.txt

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input/6.SVM/testDigits/1_86.txt

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input/6.SVM/testDigits/1_87.txt

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input/6.SVM/testDigits/1_88.txt

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input/6.SVM/testDigits/1_89.txt

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input/6.SVM/testDigits/1_9.txt

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input/6.SVM/testDigits/1_90.txt

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input/6.SVM/testDigits/1_91.txt

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input/6.SVM/testDigits/1_92.txt

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input/6.SVM/testDigits/1_93.txt

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input/6.SVM/testDigits/1_94.txt

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input/6.SVM/testDigits/1_95.txt

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input/6.SVM/testDigits/1_96.txt

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input/6.SVM/testDigits/9_0.txt

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