四、案例推演

[br] 在某学校,对学生是否吃牛肉面进行了统计,并对统计当天的平均温差及天气特征进行记录,其目的是想了解学生的饮食偏好与温差和气象特征之间的关系。统计结果如表 2-3-1[br][br] 表 2-3-1 学生是否吃牛肉面统计表[br] 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[/img][br][br]
现在需要判断一个男生在低温、小雪天气状况下是否吃牛肉面。也即需要比较[math]p[/math]( | 吃男生,低温,小雪)与 [math]p[/math]( | 不吃男生,低温,小雪) 的概率大小。[br][br] 根据贝叶斯公式:[br][br] [math]p\left(A\mid B\right)=\frac{p\left(B\mid A\right)·p\left(A\right)}{p\left(B\right)}[/math][br] [br] [math]p\left(吃\mid男生,低温,小雪\right)=\frac{p\left(男生,低温,小雪\mid吃\right)·p\left(吃\right)}{p\left(男生,低温,小雪\right)}[/math][br] [br] [math]p\left(不吃\mid男生,低温,小雪\right)=\frac{p\left(男生,低温,小雪\mid不吃\right)·p\left(不吃\right)}{p\left(男生,低温,小雪\right)}[/math][br][br] 以上两式分母相同,只需要比较分子即可。
[br] 这里需要说明的是,贝叶斯分类需要一个重要的前提或假设,就是各个特征值之间相互[br][br]独立,这是由两个原因造成的:一是在现实应用场景中,由不同特征变量的不同属性所构成[br][br]的向量维度是巨大的,在进行数据训练时会产生大量的算力耗损。比如表 2-3-1 中,性别变[br][br]量的属性数量是 2(男、女),温区变量的属性数量是 3(低区、中区、高区),气象变量的属[br][br]性数量是 4(阴、晴、多云、小雪),其所构成的向量维度就已经是 2×3×4=24,而在实际[br][br]问题处理中则要高得多。二是在采样数据不足的情况下,由于数据的稀疏性,会得到统计数[br][br]据为 0 的情况,而这显然是不合适的,会造成贝叶斯分类失败。[br][br] 鉴于特征值独立性假设,则 [math]p\left(吃\right)=\frac{6}{10},p\left(不吃\right)=\frac{4}{10},p\left(\text{男生,低温,小雪\mid 吃}\right)=p\left(\text{男生 \mid吃}\right)·p\left(\text{低温\mid吃}\right)·p\left(\text{小雪\mid吃}\right)=\frac{3}{6}\times\frac{3}{6}\times\frac{2}{6}=\frac{1}{12},[/math]另计算,[math]\frac{1}{12}\times\frac{6}{10}=\frac{1}{20}=0.05[/math],以此类推,则 [math]p(男生,低温,小雪\mid不吃)=p\left(\text{男生\mid不吃}\right)\cdot p\left(\text{低温 \mid不吃}\right)p\left(\text{小雪\mid不吃}\right)=\frac{3}{4}\times\frac{1}{4}\times\frac{1}{4}=\frac{3}{64}[/math],另计算[math]\frac{3}{64}\times\frac{4}{10}=\frac{3}{160}=0.01875<0.05[/math],可以据此判断该生是吃牛肉面的。
[br] 以上举例采用的是离散数据,在实际应用场景中,更多的是连续数据,如表 2-3-2 所示。[br][br] 表 2-3-2 身高体重信息统计[br][img]data:image/png;base64,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[/img][br][br] 现已知某人身高 1.8 m、体重 60 kg,脚掌 20 cm,请问该人是男是女?该举例中的特征[br][br]变量(身高、体重、脚掌)均为连续变量,无法采用计数统计的方法来计算概率,而且由于[br][br]样本太少,所以也无法分成区间计算。这时可以将特征变量归类为某种分布,如此例中可以[br][br]假设男性和女性的身高、体重、脚掌都是正态分布,通过极大似然估计计算出分布参数的均[br][br]值和方差,也就是得到正态分布的密度函数。有了密度函数,就可以把值代入,从而求得某[br][br]一点的密度函数的值。
[br] 正态分布的极大似然估计的求解函数为:[br] [br] [math]\mu^{\ast}=x_{avg}=\frac{1}{n}\sum^N_{i=1}x_i[/math] [br] [math]\sigma^{\ast2}=\frac{1}{n}\sum^N_{i=1}\left(x_i-x_{avg}\right)^2[/math] [br][br]则可求得各特征变量的极大似然估计参数,如表 2-3-3 所示。
[br] 表 2-3-3 各特征变量的极大似然估计参数[br][img]data:image/png;base64,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[/img][br]
[br] 按照贝叶斯分类器的计算步骤,目标计算值是比较如下两个概率值的大小:[br] [br] [math]p\left(男\mid身高=1.8,体重=60,脚掌=20\right)=\frac{p\left(\text{身高=1.8\mid男}\right)\times p\left(\text{体重=60\mid男}\right)\times p\left(\text{脚掌=20\mid男}\right)\times p\left(\text{男}\right)}{p\left(\text{身高 =1.8,体重=60 ,脚掌}=20\right)}[/math][br]
[math]p\left(\text{女}\mid身高=1.8,体重=60,脚掌=20\right)=\frac{p\left(\text{身高=1.8\mid\text{女}}\right)\times p\left(\text{体重=60\mid\text{女}}\right)\times p\left(\text{脚掌=20\mid\text{女}}\right)\times p\left(\text{\text{女}}\right)}{p\left(\text{身高 =1.8,体重=60 ,脚掌}=20\right)}[/math]
[br] 以上两式分母相同,不再计算,而分子中的各项都可根据已有的参数值计算得出。[br][br] [math]p\left(身高=1.8\mid男\right)=\frac{1}{\sqrt{2\pi\sigma^2}}e^{\frac{-\left(1.8-\mu\right)^2}{2\sigma^2}}=7.6141[/math],依此类推,可以计算出:[br] [br] [math]p\left(\text{身高 =1.8\mid男}\right)\times p\left(\text{体重=60\mid男}\right)\times p\left(\text{脚掌 =20\mid男}\right)\times p\left(男\right)=5.0175\times e^{-10}[/math][br][br] [math]p\left(\text{身高 =6\mid女}\right)\times p\left(\text{体重=130\mid女}\right)\times p\left(\text{脚掌 =8\mid女}\right)\times p\left(女\right)=2.2672\times e^{-3}[/math][br][br] 可以看到,女性的概率比男性要高出将近一千万倍,所以判断该人为女性。[br][br]

Information: 四、案例推演