{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### 一.半朴素贝叶斯分类器\n", "上一节介绍了朴素贝叶斯,它假设属性之间相互独立,但现实任务中这种假设往往很难成立,“半朴素贝叶斯”就是在朴素贝叶斯的基础上尝试为部分属性添加依赖关系,其常用的一种策略被称为独依赖估计(One-Dependent Estimator,ODE),即假设每个属性在类别之外最多仅依赖于一个其他属性,通常的做法有两种,下面简单介绍一下 \n", "\n", "#### SPODE\n", "SPODE(Super-Parent ODE)的做法是假设所有属性都依赖于同一个属性,该属性称为“超父”,比如下图是“超父”为$X_1$的SPODE\n", "![avatar](./source/12_半朴素贝叶斯SPODE.png)\n", "#### TAN\n", "TAN(Tree Augmented Naive Bayes)则是根据条件互信息构建一个最大带权生成树,然后再添加$Y$到每个属性的指向来构建半朴素贝叶斯分类器,假设目前仅有$X_1,X_2,X_3,X_4$这4个属性,下面说明其构建过程: \n", "\n", ">(1)计算任意两个属性直接的条件互信息: \n", "\n", "$$\n", "I(X_i,X_j)=\\sum_{X_i,X_j,c}p(X_i,X_j\\mid Y=c)log\\frac{p(X_i,X_j\\mid Y=c)}{p(X_i\\mid Y=c)\\cdot p(X_j\\mid Y=c)},i\\neq j,i,j\\in \\{1,2,3,4\\}\n", "$$ \n", ">(2)以属性为节点构建完全图,任意两个节点之间边的权重设为其条件互信息值: \n", "\n", "![avatar](./source/12_半朴素贝叶斯TAN1.png) \n", "\n", ">(3)构建此完全图的最大带权生成树,挑选根变量,将边置为有向: \n", "\n", "![avatar](./source/12_半朴素贝叶斯TAN2.png)\n", "\n", ">(4)增加类别节点$Y$,增加从$Y$到每个属性的有向边 \n", "\n", "![avatar](./source/12_半朴素贝叶斯TAN3.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 二.参数估计\n", "半朴素贝叶斯分类器可以定义如下: \n", "\n", "$$\n", "f(x)=arg\\max_{c_k}P(Y=c_k)\\prod_{i=1}^nP(X_i=x_i\\mid Y=c_k,X_{Pa(i)})\n", "$$ \n", "\n", "这里$X_{Pa(i)}$为属性$X_i$所依赖的属性,比如对上面的概率图有$Pa(2)=X_1$,接下来同之前的问题一样,就是参数估计的问题,这里我们同样可以采用极大似然估计的方法: \n", "\n", "#### 1.求解$p(Y=c_k)$\n", "\n", "$$\n", "p(Y=c_k)=\\frac{\\sum_{i=1}^NI(y_i=c_k)}{N},k=1,2,...,K,N表示样本量\n", "$$ \n", "\n", "#### 2.求解$p(X_i=x_i\\mid Y=c_k,X_{Pa(i)}=Pa(i)_j)$\n", "假设第$i$个特征可能的取值为$A_i=\\{a_{i1},a_{i2},...,a_{iS_i}\\}$,第$Pa(i)$特征的可能的取值为$B_i=\\{b_{i1},b_{i2},...,b_{iS_i}\\}$,所以有$x_i=a_{il}\\in A_i,Pa(i)=b_{im}\\in B_i$,所以: \n", "\n", "$$\n", "p(X_i=a_{il}\\mid Y=c_k,Pa(i)=b_{im})=\\frac{\\sum_{j=1}^NI(x_i^j=a_{il},y_i=c_k,Pa(i)^j=b_{im})}{\\sum_{j=1}^nI(y_j=c_k,Pa(i)^j=b_{im})}\n", "$$ \n", "\n", "类比上一节,对于连续值的情况,我们可以采用二维高斯分布(参数求解见EM那一章)去拟合即可" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 三.代码实现\n", "这里就偷个懒,懒得去划分区间再统计了,就用高斯分布去拟合..." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import os\n", "os.chdir('../')\n", "import numpy as np\n", "from ml_models import utils\n", "%matplotlib inline\n", "\n", "\"\"\"\n", "半朴素贝叶斯分类器实现,封装到ml_models.pgm\n", "\"\"\"\n", "\n", "class SemiGaussianNBClassifier(object):\n", " def __init__(self, link_rulers=None):\n", " \"\"\"\n", " :param link_rulers: 属性间的链接关系[(x1,x2),(x3,x4)]\n", " \"\"\"\n", " self.p_y = {} # p(y)\n", " self.p_x_y = {} # p(x | y)\n", " self.class_num = None\n", " self.link_rulers = link_rulers\n", " # check link_rulers,由于某一个属性最多仅依赖于另一个属性,所以某一属性在尾部出现次数不可能大于1次\n", " self.tail_link_rulers = {}\n", " if self.link_rulers is not None and len(self.link_rulers) > 0:\n", " for x1, x2 in self.link_rulers:\n", " if x2 in self.tail_link_rulers:\n", " raise Exception(\"属性依赖超过1次\")\n", " self.tail_link_rulers[x2] = [x1, x2]\n", "\n", " def fit(self, x, y):\n", " # 参数估计\n", " self.class_num = y.max() + 1\n", " for y_index in range(0, self.class_num):\n", " # p(y)\n", " y_n_sample = np.sum(y == y_index)\n", " self.p_y[y_index] = np.log(y_n_sample / len(y))\n", " self.p_x_y[y_index] = {}\n", " # p(x | y)\n", " x_y = x[y == y_index]\n", " for i in range(0, x_y.shape[1]):\n", " # 如果i在link_rulers的尾部,则需要构建二维高斯分布\n", " if i in self.tail_link_rulers:\n", " first_feature, second_feature = self.tail_link_rulers[i]\n", " u = np.mean(x_y[:, [first_feature, second_feature]], axis=0)\n", " sigma = np.cov(x_y[:, [first_feature, second_feature]].T)\n", " else:\n", " u = np.mean(x_y[:, i])\n", " sigma = np.std(x_y[:, i])\n", " self.p_x_y[y_index][i] = [u, sigma]\n", "\n", " def predict_proba(self, x):\n", " rst = []\n", " for x_row in x:\n", " tmp = []\n", " for y_index in range(0, self.class_num):\n", " p_y_log = self.p_y[y_index]\n", " for j in range(0, len(x_row)):\n", " if j in self.tail_link_rulers:\n", " first_feature, second_feature = self.tail_link_rulers[j]\n", " xij = x_row[[first_feature, second_feature]]\n", " p_y_log += np.log(utils.gaussian_nd(xij, self.p_x_y[y_index][j][0], self.p_x_y[y_index][j][1]))\n", " else:\n", " xij = x_row[j]\n", " p_y_log += np.log(utils.gaussian_1d(xij, self.p_x_y[y_index][j][0], self.p_x_y[y_index][j][1]))\n", " tmp.append(p_y_log)\n", " rst.append(tmp)\n", " return utils.softmax(np.asarray(rst)).reshape(x.shape[0], self.class_num)\n", "\n", " def predict(self, x):\n", " return np.argmax(self.predict_proba(x), axis=1).reshape(-1)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "#造伪数据\n", "from sklearn.datasets.samples_generator import make_blobs\n", "X, y = make_blobs(n_samples=400, centers=4, cluster_std=0.85, random_state=0)\n", "X = X[:, ::-1]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#查看效果\n", "snb = SemiGaussianNBClassifier(link_rulers=[(0,1)])\n", "snb.fit(X, y)\n", "utils.plot_decision_function(X, y, snb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`link_rulers=[(0,1)]`表示添加了一条$x_1\\rightarrow x_2$的依赖,如果不添加,则和上一节的效果一样" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#查看效果\n", "snb = SemiGaussianNBClassifier()\n", "snb.fit(X, y)\n", "utils.plot_decision_function(X, y, snb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "这里并没有对SPODE或TAN做具体实现,仅对其添加了`link_rulers`参数做支持" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }