[br][b] (一)距离计算[/b][br][br] 在 KNN 中,要度量空间中点的距离的话,有很多种度量方式,如常见的[color=#0000ff][b][url=https://www.geogebra.org/m/wtbnzmmj]曼哈顿距离[/url][icon]/images/ggb/toolbar/mode_zoomin.png[/icon][/b][/color]计算、[color=#0000ff][b][url=https://www.geogebra.org/m/wtbnzmmj]欧式距离[/url][icon]/images/ggb/toolbar/mode_zoomin.png[/icon][/b][/color]计算等。关于距离计算,我们在聚类算法中已有详细介绍。不过通常 KNN 算法中使用的是欧式距离,即[br][br] [math]d\left(x,y\right)=\sqrt{\left(x_1-y_1\right)^2+\left(x_2-y_2\right)^2}+...+\left(x_n-y_n\right)^2=\sqrt{\sum\left(x_i-y_i\right)}^2[/math][br] [br] 在文本数据的机器学习中,更常用的距离计算方法是余弦相似度,其计算公式如下:[br][br] [math]cos\left(\theta\right)=\frac{\sum x_{ik}x_{jk}}{\sqrt{\sum x^2_{ik}}\sqrt{\sum x^2_{jk}}}[/math][br][br][br] 余弦相似度是一种用于衡量两个向量之间相似度的度量方法。在向量空间模型中,它通过计算两个向量夹角的余弦值来确定它们的相似程度。对于两个非零向量 A和 B,余弦相似度的取值范围是 [-1,1]。当余弦相似度为 1时,表示两个向量完全相似;当为 -1 时,表示完全相反;当为 0时,表示两个向量正交(即相互垂直,没有任何相似成分)。使用余弦相似度可以消除数据的某些冗余信息,某些情况下更贴近数据的本质。[br][br] 下图为余弦相似度的动态解析图,通过拉动向量A和B,可以清晰呈现两个向量的余弦相似度在[-1,0,1]及各值下的状态关系。
[br] [b](二)K 值的选择[/b][br][br] 在 KNN 算法中,计算过程及原理解析都不复杂,但 K 值的选择至关重要。那么,在实际场景应用中,如何选择 K 值呢?一般来讲,是利用算法工具,如 Orange,进行不同 K 值的测算,通过错误率的对比,找到一个错误率最低的 K 值,K 一般选取 1~20。比如汽车分类案例中,其错误率的曲线如图 2-4-3 所示。[br][img]https://s21.ax1x.com/2025/02/12/pEuCBBF.jpg[/img][br][br] 图 2-4-3 汽车分类案例中的 K 值曲线[br][br] 由图 2-4-3 可知,当 [math]K=10[/math] 时,错误率达到最低点,表示分类的准确率最高。对于整个图形的走势分布,也易于理解。当增大 K 的时候,一般错误率会先降低,因为有周围更多的样本可以借鉴,分类效果会变好。当超过临界点(如图中的[math]K=10[/math] )时,错误率又会上升,因为太多的样本会混淆 KNN 的判断。考虑一个极限情况,当[math]K=N[/math] 时,即把所有的样本均纳入判断范围,则 KNN 将失去意义。
[br] [b](三)特征工程及 One-hot 编码[/b][br][br] KNN 的应用场景是分类,一般来讲,应用于 KNN 的数据集大多数都是离散型、目录型数据结构。特征工程及 one-hot 编码都是将类别变量转换为机器学习算法易于利用的一种形式工具。尤其是 one-hot 编码,对类别进行“二进制化”操作,然后将其作为模型训练的特征,可以快速形成算法程序可识别运算的数据结构。在[color=#0000ff][b][url=https://pan.baidu.com/disk/main#/index?category=all&path=%2F%E5%A4%A7%E6%95%B0%E6%8D%AE%E7%AE%97%E6%B3%95%E5%9F%BA%E7%A1%80-%E8%A7%A3%E6%9E%90%E4%B8%8E%E6%8E%A2%E7%B4%A2%2F6.K%E8%BF%91%E9%82%BB%2FKNN]汽车分类用例[/url][icon]/images/ggb/toolbar/mode_zoomin.png[/icon][/b][/color]中,其源数据与 one-hot编码转换后的数据格式如表 2-4-1 和表 2-4-2 所示。[br][br] 表 2-4-1 源数据部分数[br][img]data:image/png;base64,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[/img]
[br][b] (四)KNN 算法的特点[/b][br][br] KNN 算法是一种非参的、惰性的算法。非参的意思并不是说 KNN 算法不需要参数,而是意味着这个模型不会对数据做出任何假设,与之相对的是线性回归(我们总会假设线性回归是一条直线)。也就是说,KNN 建立的模型结构是根据数据来决定的,这也比较符合现实的情况,毕竟在现实中的情况往往与理论上的假设是不相符的。[br][br] 惰性是指与其他分类算法相比,没有损失函数和训练过程。比如,同样是分类算法,逻辑回归或人工神经网络等都需要先对数据进行大量训练,最后才会得到一个算法模型。而KNN 算法却不需要,它没有明确的训练数据的过程,或者说这个过程很快。[br][br]