(一)分布形态及相关概念[br][br] Logistic 分布是一种连续型的概率分布,其分布函数(或质量函数)和密度函数分别为[br][br] 分布函数: [math]F\left(x\right)=P\left(X\le x\right)=\frac{1}{1+e^{-\left(x-\mu\right)^{\slash\gamma}}}[/math][br][br] 密度函数: [math]f\left(x\right)=F'\left(X\le x\right)=\frac{e^{-\left(x-\mu\right)\slash\gamma}}{\gamma\left(1+e^{-\left(x-\mu\right)\slash\lambda}\right)^2}[/math][br][br] 其中, [math]\mu[/math]为位置参数; [math]\lambda>0[/math]为形状参数。图 2-6-2为 Logistic 分布函数和密度函数图像,同时配以数字化图像,以便更好理解函数。[br][table][tr][td][img]https://s21.ax1x.com/2025/02/15/pEKGHQP.png[/img][/td][td] [/td][td][img]https://s21.ax1x.com/2025/02/15/pEKGbsf.png[/img][/td][/tr][/table] 图 2-6-2 Logistic 分布函数和密度函数
以二分类为例,所给数据集假设存在这样的一条直线可以将数据完成线性可分,如图2-6-3 所示。[br][center][img]https://s21.ax1x.com/2025/02/15/pEKJuS1.png[/img][br]图 2-6-3 二分类逻辑回归示意[/center] [br]
设分界线方程为[math]h_{\theta}\left(x\right)=g\left(\theta_0+\theta_1x_1+\theta_2x_2\right)[/math],这里 [math]x_1、x_2[/math] 应是指诸多特征变量中对目标变量敏感性强、预判方向指向性良好的两个特征变量。[br][br] 决策边界可以表示为 [math]\omega_0+\omega_1x_1+\omega_2x_2=0[/math] ,假设某个样本点 [math]h_{\omega}\left(x\right)=\omega_0+\omega_1x_1+\omega_2x_2>0[/math],那么可以判断它的类别为 1,这个过程其实是一个感知机。[br][br] 【思考一】如何找到分类概率 P Y( 1) 与输入变量 x 之间的函数关系,然后通过比较概率值来判定分类。[br][br] 考虑二分类问题,给定数据集:[br] [br] [math]D=\left(x_1,y_1\right),\left(x_2,y_2\right),\left(x_3,y_3\right),x_i\subseteq R^n,y_i\subseteq0,1,i=1,2,...N[/math][br][br] 说明:这里 [math]x_i(i=1,2,...,N)[/math] 指的是[math]h_{\theta}\left(x_i\right),i=1,2,...,N[/math],即两个特征向量在二维平面上的点位;[math]y_i[/math]指概率值,即某一个点位所对应的概率值,取值为 0 或 1。[br][br] 考虑到[math]\omega^Tx+b[/math]取值是连续的,因此它不能拟合离散变量。可以考虑用它来拟合条件概率[math]p\left(Y=1\mid x\right)[/math] ,因为概率的取值也是连续的。[br][br] 但是对于 [math]\omega\ne0[/math](若等于零向量,则没有什么求解的价值), [math]\omega^Tx+b[/math]取值为[math]R[/math],不符合概率取值为 0 到 1,因此考虑采用广义线性模型。[br][br] 最理想的是单位阶越函数:[br][br] [math]P\left(Y=1\mid x\right)=0,Z<0;|0.5,Z=0,Z=\varpi^T+b;1,Z>0[/math]
但是这个阶跃函数不可微,对数几率函数是一个常用的替代函数:[br] [math]y=\frac{1}{1+e^{-\left(\omega^Tx+b\right)}}[/math][br][br] 经变换后可得[br] [math]ln\frac{y}{1-y}=\omega^Tx+b[/math][br][br] 将 [math]y[/math]视为[math]x[/math] 为正例的概率,则[math]1-y[/math] 为 [math]x[/math] 为其反例的概率。两者的比值称为几率(odds),指该事件发生与不发生的概率比值,若事件发生的概率为[math]P[/math],则对数几率:[br] [br] [math]ln\left(odds\right)=ln\frac{y}{1-y}[/math][br][br] 将 [math]y[/math]视为类后验概率估计,重写公式有:[br][br] [math]\omega^Tx+b=\frac{p\left(Y=1\mid x\right)}{1-p\left(Y=1\mid X\right)}[/math][br] [br] [math]p\left(Y=1\mid x\right)=\frac{1}{1+e^{-\left(\omega^Tx+b\right)}}[/math][br][br] 也就是说,输出[math]Y=1[/math]的对数几率是由输入 [math]x[/math] 的线性函数表示的模型,这就是逻辑回归模型。当[math]\omega^Tx+b[/math]的值越接近正无穷,[math]p\left(Y=1\mid x\right)[/math]概率值也就越接近 1。因此逻辑回归的思路是,先拟合决策边界(不局限于线性,还可以是多项式),再建立这个边界与分类的概率联系,从而得到二分类情况下的概率。
【思考二】使用对数几率的意义是什么?通过上述推导可以看到 Logistic 回归实际上是使用线性回归模型的预测值逼近分类任务真实标记的对数几率,其优点有:[br][br] ① 直接对分类的概率建模,无须实现假设数据分布,从而避免了假设分布不准确带来的问题;[br][br] ② 不仅可预测出类别,还能得到该预测的概率,这对一些利用概率辅助决策的任务[br]很有用;[br][br] ③ 对数几率函数是任意阶可导的凸函数,有许多数值优化算法都可以求出最优解。[br][br] 【延伸思考一】为什么要引入[math]p\left(Y=1\mid x\right)=\frac{1}{1+e^{-x}}[/math]函数?[br][br] 因为[math]f(x)=e^x[/math]有优良的 0、1 分界特性,如图 2-6-4 所示。[br][center][img]https://s21.ax1x.com/2025/02/15/pEKdSW4.png[/img][br]图 2-6-4 以自然对数为底数的指数函数示意[/center][br][br] 在 [math]p\left(Y=1\mid x\right)=\frac{1}{1+e^{-x}}\Longrightarrow\frac{1}{1+\frac{1}{e^x}}[/math]函数中,当 [math]x\longrightarrow+\infty,e^x\longrightarrow+\infty[/math]时,则[math]p(Y=1\mid x)\longrightarrow1[/math]; 当[math]x\longrightarrow-\infty[/math] , [math]e^x\longrightarrow0[/math] 时,则 [math]p\left(Y=1\mid x\right)\longrightarrow0[/math] 。在此特征下,以决策边界为分界的两类数据可以妥帖地与分类概率建立联系,如数据点与决策边界越近,其正确归并入某一类别的概率值越接近于 0.5,即模糊性越强,类似于我们平常所说的“一半一半”;数据点与决策边界越远,其分类概率值越接近于 0 或 1,表明其类别属性明显。其数据点与分类概率点的对应关系见动态图。
[br] 为更清晰展示逻辑回归函数与样本点的分类关系,设有两个特征变量的样本点,其逻辑回归函数为[math]p\left(Z=1\mid x,y\right)=\frac{1}{1+e^{-\left(\omega_1x+\omega_2y+b\right)}}+[/math],这里 [math]x,y[/math]代表样本的两个特征变量,之所以这样设置,是考虑到这样的逻辑回归函数可以在三维空间中展现出来,并能将样本的分类情况加以清晰界定,如图 2-6-5 所示,呈现在不同参数( [math]\omega_1,\omega_2,b[/math])下,样本点的分类情况。[br][center][/center][table][tr][td][img]https://s21.ax1x.com/2025/02/15/pEKw6bt.png[/img][/td][td][/td][td][img]https://s21.ax1x.com/2025/02/15/pEKwgVP.png[/img][/td][/tr][/table] 图2-6-5 三维空间中的Logistics函数的分类情况 [br] [br] 其动态演示图请参见如下数字化动态图,图中蓝色点代表正量点,红色点代表负量点。[br]
【延伸思考二】决策分界线与各数据点之间的距离关系。[br] 以上问题的数学描述为(以二维平面点为例):设决策分界线函数为 [math]y_0=ax_0+b_0[/math],在决策分界线之外有一点[math]p\left(XY\right)[/math] ,设经过 p 点且与决策分界线平行的线函数为 [math]y_1=a_{x1}+b_1[/math] ,[math]y_1-ax_1-b_0[/math]求的值。[br][br] 解:已知[br] [math]y_0-ax_0-b_0=0[/math] (1)[br] [math]y_1-ax_1-b_1=0[/math] (2) [br][br] (2)式减(1)式得[br] [math]y_1-y_0-ax_1+ax_0-b_1+b_0=0[/math][br] 则[br] [math]y_1-ax_1-b_0=y_0-ax_0+b_1-2b_0=b_0+b_1-2b_0=b_1-b_0[/math][br][br] 由此可得,在二维平面点中,[math]\omega x^T+b[/math] 的值应等于数据点平行线的截距与决策分界线的截距之差。
【延伸思考三】特征向量的公式表达。[br] 在逻辑回归中,为方便初学者快速理解,一般都将决策边界表示为二元函数,如[math]\omega_1x_1+\omega_2x_2+b=0[/math],在平面坐标中它表现为一条直线(见图 2-6-6)。需要说明的是,在此公式中,[math]x_1,x_2[/math] 均为特征变量,其对目标变量的依附是靠[math]\omega_1x_1+\omega_2x_2+b>0[/math]或[math]\omega_1x_1+\omega_2x_2+b<0[/math]判定的。同理,如果一个样本给出的特征变量有三个,则决策边界函数为三元函数,一般可表示为[math]\omega_1x_1+\omega_2x_2+\omega_3x_3+b=0[/math],在立体坐标中它表现为一个平面(见图 2-6-7)。[br][center][img]https://s21.ax1x.com/2025/02/15/pEKwqaV.png[/img][/center][br][center]图 2-6-6 二特征变量的坐标表达 [/center]
依此类推,在逻辑回归算法中, [math]n[/math]个特征变量的决策边界函数为[math]n[/math]元函数,一般表示为[math]\omega^Tx_1+b=0[/math]。[br][br] 举个例子,某学校对食堂网上订餐的数据进行了整理,其变量字段的列表如表 2-6-1所示。[br] 表 2-6-1 食堂订餐数据的变量字段[br][img]data:image/png;base64,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[/img][br][br] 此数据集的应用目的之一是将订餐信息与天气信息合集,并由此判断在天气预报的指示下,未来一段时期内食堂米/面或荤/素的订餐量。据此可以定义门店、午晚餐、温差、均温、气象、价格等字段为特征变量,米/面或荤/素为目标变量。通过 Orange 3 软件,选取决策树和逻辑回归为对照算法模型。[br][br] 如果仅选取气象和价格两个特征向量,即由[math]\omega_1x_1+\omega_2x_2+b=0[/math] 为决策边界,其中 [math]x_1[/math] 代表气象特征变量, [math]x_2[/math]代表价格这一特征变量,则模型的评估参数如图 2-6-8 所示。[br][center][img]https://s21.ax1x.com/2025/02/16/pEK2clV.jpg[/img][img]https://s21.ax1x.com/2025/02/16/pEK2WmF.jpg[/img]图 2-6-8 两特征向量的逻辑回归性状指标[/center]
从图 2-6-8 中可以看出,两特征向量的预测准确度不高,Sigmoid 曲线的形态也不好,对目标变量分类预测的实际价值不大。[br][br] 此时再加入一个特征变量门店,即由[math]\omega_1x_1+\omega_2x_2+\omega_3x_3+b=0[/math]为决策边界,[math]x_3[/math]代表门店这一特征变量,则模型的评估参数如图 2-6-9 所示。[br][center][img]https://s21.ax1x.com/2025/02/16/pEK2fw4.jpg[/img][img]https://s21.ax1x.com/2025/02/16/pEK2hTJ.jpg[/img]图 2-6-9 三特征向量的逻辑回归性状指标[/center][br] 从图 2-6-9 中可以看出,预测的准确性明显提高,Sigmoid 曲线形态也趋于良好,是有实际应用价值的分类预测方案。
(二)应用场景及优劣[br][br] 优点:逻辑回归训练速度很快,可用于工业级别的数据,也可以在使用其他准确率更高的算法时先用逻辑回归计算出基线,再查看当前的数据在算法上的表现,以判断是否还要继续进行数据清洗和特征工程。逻辑回归可用于概率预测,也可用于分类;对数据中小噪声的鲁棒性也很好。[br][br] 缺点:对数据特征间的独立性要求较高;不适用于 features 和 label 为非线性关系的数据中;当特征空间很大、特征有缺失时,逻辑回归的性能不是很好。[br][br] [b]【知识点】[/b]什么是 features 和 label?[br][br] 一般来讲,label 是分类,是想要预测的内容标签,而 feature 是特征。如果训练出 feature 和label 的关系,则可以通过 feature 得出 label。