# 第7章 非线性SVM

非线性分类问题是指通过利用非线性模型（超曲面）才能进行很好地分类的问题。

解决方法：

```
\require{AMScd}
\begin{CD}
    输入空间（非线性问题） @>非线性变换>> 特征空间（线性问题）
\end{CD}   \\
\begin{CD}
    特征空间（线性问题） @>线性SVM>> 分类模型
\end{CD}
```

![](http://windmissing.github.io/images_for_gitbook/LiHang-TongJiXueXiFangFa/2.png)

输入空间：欧氏空间或离散集合\
特征空间：希尔伯特空间\
[link](https://windmising.gitbook.io/mathematics-basic-for-ml/gao-deng-shu-xue/space)

**式中的“非线性变化”通过核技巧实现。**


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