{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 主成分分析和聚类" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 介绍" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "无监督学习是机器学习中的一类重要算法。与监督学习算法相比,无监督学习算法不需要对输入数据进行标记,即不需要给出标签或类别。此外,无监督学习算法还可以在没有辅助的情况下能够学习数据的内在关系。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "由于数据不需要手动标记标签,这可以使许多无监督算法能够处理大量的数据,从而节省了大量的人力成本。但是,这也给其带来一个问题,因为无监督学习算法在学习时没有使用标签数据,所以一般情况下很难直观地去评估无监督学习算法的质量。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 知识点" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- PCA 降维 \n", "- K-Means\n", "- 近邻传播\n", "- 谱聚类 \n", "- 凝聚聚类" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 主成分分析 PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "在无监督学习中最常见的任务之一是降维,也就是减少输入数据的维数。 为什么要降维呢?主要有一下几个原因:首先,降维可能有助于数据可视化,因为人是无法理解高维数据的,通常只能看明白二维或三维数据的可视化图像。其次,降维可以有效的解决维度灾难的问题,改善模型的训练效果。此外,降维还可以进行数据压缩,提升模型训练效率。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "目前,主成分分析是最简单,最直观,最常用的降维方法之一,其工作原理主要是将的数据投影到一个正交特征子空间中。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "为了更好的理解 PCA 的工作原理,一起来看上面这幅图。试想一下,如果将坐标系中的数据点投影到 $x$ 轴(投影过后的数据即为 $x$ 轴上的一堆数据点),或者以同样的方法投影到 $y$ 轴,哪一个更容易区分呢?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "很显然是 $x$ 轴。因为数据投影到 $x$ 轴之后相比于 $y$ 轴更分散,也就是数据样本的方差更大,从而也更容易区分。回到上图,如果要在坐标系中找到一根轴,使得投影到这根轴后的数据的方差更大,也就是说更分散,哪一根轴最好呢?显然,就是图中所标的椭圆轴方向。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PCA 的思想就是这样。如果将图中的数据都投影到椭圆轴上,则数据也就从二维降为了一维。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "来看看这个过程的数学公式:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "为了将数据的维数从 $n$ 维降到 $k$ 维,我们按照散度(也就是数据的分散程度)降低的顺序对轴列表进行排序,然后取出前 $k$ 项。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "现在开始计算原始数据 $n$ 维的散度值和协方差。根据协方差矩阵的定义,两个特征列的协方差矩阵计算公式如下:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " $$ cov(X_i, X_j) = E[(X_i - \\mu_i) (X_j - \\mu_j)] = E[X_i X_j] - \\mu_i \\mu_j$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "上式中的 $\\mu_i$ 表示第 $i$ 个特征的期望值。这里需要注意的是,协方差都是对称的,而且向量与其自身的协方差就等于其散度。当协方差为正时,说明 $X$ 和 $Y$ 是正相关关系;协方差为负时,说明 $X$ 和 $Y$ 是负相关关系;协方差为 0 时,说明 $X$ 和 $Y$ 是相互独立。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "假定 $ \\mathbf{X} $ 是观测矩阵,则协方差矩阵如下:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\Sigma = E[(\\mathbf{X} - E[\\mathbf{X}]) (\\mathbf{X}-E[\\mathbf{X}])^{T}]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "快速回顾一下矩阵知识:假定一个矩阵 $M$ 的特征向量为 $w_i$ 以及对应的特征向量为 $\\lambda_i$ ,则它们会满足下面公式:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$M w_i = \\lambda_i w_i$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "一个样本 $X$ 的协方差矩阵可以表示为其转置矩阵 $\\mathbf{X}^{T}$ 与 $\\mathbf{X}$ 的乘积。根据 [ Rayleigh_quotient](https://en.wikipedia.org/wiki/Rayleigh_quotient) ,样本 $X$ 的最大方差位于协方差矩阵的最大特征值对应的特征向量上。也就是说想要保留一个矩阵的最大信息,我们只需要保留该矩阵的最大特征值所对应的特征向量所组成的矩阵即可,这个过程就是降维了。 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "因此,从数据中保留的主要成分就是与矩阵的顶部 $k$ 最大特征值对应的特征向量。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 莺尾花数据集" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "上面主要讲述了主成分分析方法的原理,现在通过实例来加深理解。首先导入所有实验所用到的基本模块。" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import warnings\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from sklearn import datasets, decomposition\n", "\n", "warnings.filterwarnings(\"ignore\")\n", "sns.set(style=\"white\")\n", "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "通过 scikit-learn 提供的数据集接口导入莺尾花数据集。" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "iris = datasets.load_iris()\n", "X = iris.data\n", "y = iris.target" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "为了直观地查看数据的分布,使用三维图画出莺尾花的数据分布图。" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 374, "width": 424 } }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(1, figsize=(6, 5))\n", "plt.clf()\n", "ax = Axes3D(fig, rect=[0, 0, 0.95, 1], elev=48, azim=134)\n", "\n", "plt.cla()\n", "\n", "for name, label in [(\"Setosa\", 0), (\"Versicolour\", 1), (\"Virginica\", 2)]:\n", " ax.text3D(\n", " X[y == label, 0].mean(),\n", " X[y == label, 1].mean() + 1.5,\n", " X[y == label, 2].mean(),\n", " name,\n", " horizontalalignment=\"center\",\n", " bbox=dict(alpha=0.5, edgecolor=\"w\", facecolor=\"w\"),\n", " )\n", "# 改变标签的顺序,让其与数据匹配\n", "y_clr = np.choose(y, [1, 2, 0]).astype(np.float)\n", "ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=y_clr, cmap=plt.cm.nipy_spectral)\n", "\n", "ax.w_xaxis.set_ticklabels([])\n", "ax.w_yaxis.set_ticklabels([])\n", "ax.w_zaxis.set_ticklabels([])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "现在让我们看看使用 PCA 是怎么样提高模型的识别性能的。同样先导入实验所用到的模块。" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from sklearn.metrics import accuracy_score, roc_auc_score # 识别准确率计算函数\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.tree import DecisionTreeClassifier # 导入决策树模型、" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "莺尾花数据是一个相对容易区分的数据。因此,为了使实验结果对比明显。选用简单的决策树模型来对莺尾花数据进行分类。" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy: 0.88889\n" ] } ], "source": [ "# 划分训练集和测试集\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X, y, test_size=0.3, stratify=y, random_state=42\n", ")\n", "\n", "# 决策树的深度设置为 2\n", "clf = DecisionTreeClassifier(max_depth=2, random_state=42)\n", "clf.fit(X_train, y_train)\n", "preds = clf.predict_proba(X_test)\n", "print(\"Accuracy: {:.5f}\".format(accuracy_score(y_test, preds.argmax(axis=1))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "从上面的结果可知。在不对数据进行处理的情况下,使用决策树模型对莺尾花数据进行分类的准确率为 0.88889。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "现在使用 PCA 将莺尾花数据的维度降低到 2 维,然后画出降维后的数据分布图。" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 254, "width": 388 } }, "output_type": "display_data" } ], "source": [ "# 使用从 sklearn 提供的 PCA 接口,降数据降到 2 维\n", "pca = decomposition.PCA(n_components=2)\n", "X_centered = X - X.mean(axis=0)\n", "pca.fit(X_centered)\n", "X_pca = pca.transform(X_centered)\n", "\n", "# 可视化 PCA 降维后的结果\n", "plt.plot(X_pca[y == 0, 0], X_pca[y == 0, 1], \"bo\", label=\"Setosa\")\n", "plt.plot(X_pca[y == 1, 0], X_pca[y == 1, 1], \"go\", label=\"Versicolour\")\n", "plt.plot(X_pca[y == 2, 0], X_pca[y == 2, 1], \"ro\", label=\"Virginica\")\n", "plt.legend(loc=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "同样的方法,将降维后的莺尾花数据输入到决策树模型中。" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy: 0.91111\n" ] } ], "source": [ "# 训练集合测试集同时使用 PCA 进行降维\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X_pca, y, test_size=0.3, stratify=y, random_state=42\n", ")\n", "\n", "clf = DecisionTreeClassifier(max_depth=2, random_state=42)\n", "clf.fit(X_train, y_train)\n", "preds = clf.predict_proba(X_test)\n", "print(\"Accuracy: {:.5f}\".format(accuracy_score(y_test, preds.argmax(axis=1))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "从上面的结果可知,对数据进行 PCA 降维之后,决策树模型的识别准确率提升到了 0.91111。这说明了 PCA 确实可以有效改善大部分机器学习算法的准确性和计算效率。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "那么降维后的每个主成分都来自于原始数据的哪些维度呢?让我们通过查看每个维度的方差百分比来解释这个问题。" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 component: 92.46% of initial variance\n", "0.361 x sepal length (cm) + -0.085 x sepal width (cm) + 0.857 x petal length (cm) + 0.358 x petal width (cm)\n", "2 component: 5.31% of initial variance\n", "0.657 x sepal length (cm) + 0.730 x sepal width (cm) + -0.173 x petal length (cm) + -0.075 x petal width (cm)\n" ] } ], "source": [ "for i, component in enumerate(pca.components_):\n", " print(\n", " \"{} component: {}% of initial variance\".format(\n", " i + 1, round(100 * pca.explained_variance_ratio_[i], 2)\n", " )\n", " )\n", " print(\n", " \" + \".join(\n", " \"%.3f x %s\" % (value, name)\n", " for value, name in zip(component, iris.feature_names)\n", " )\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "从上面结果可知,我们将 4 维的数据降为了 2 维数据。在降维后的数据中,第一维(也就是第一个成分)主要由原始数据的 $0.361 * \\text { sepallength }-0.085 * \\text { sepalwidth }+0.857 * \\text { petallength }+0.358 * \\text { petalwidth }$ 组成。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 手写数字数据集" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "在上面的例子中,莺尾花的原始数据只有 4 个维度。为了验证 PCA 在其他高维数据同样可行。接下来,使用之前实验所接触到的手写数字体数据集再完成一个示例练习。先导入手写数字数据集。" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "digits = datasets.load_digits()\n", "X = digits.data\n", "y = digits.target" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "数据集中的每个手写数字都是由 8×8 矩阵表示,每个像素值的表示颜色强度。获取数据集的前 10 个数字。并对这 10 个手写数字体数据进行可视化。" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 308, "width": 804 } }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14, 5))\n", "for i in range(10):\n", " plt.subplot(2, 5, i + 1)\n", " plt.imshow(X[i, :].reshape([8, 8]), cmap=\"gray\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "手写数字体数据集的维度是 8×8 维的,即 64 维。只有将其降维减少到 2 维,才能对其进行可视化,以便查看其分布状态。" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Projecting 64-dimensional data to 2D\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'MNIST. PCA projection')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 321, "width": 361 } }, "output_type": "display_data" } ], "source": [ "pca = decomposition.PCA(n_components=2)\n", "X_reduced = pca.fit_transform(X)\n", "\n", "print(\"Projecting %d-dimensional data to 2D\" % X.shape[1])\n", "\n", "plt.figure(figsize=(6, 5))\n", "plt.scatter(\n", " X_reduced[:, 0],\n", " X_reduced[:, 1],\n", " c=y,\n", " edgecolor=\"none\",\n", " alpha=0.7,\n", " s=40,\n", " cmap=plt.cm.get_cmap(\"nipy_spectral\", 10),\n", ")\n", "plt.colorbar()\n", "plt.title(\"MNIST. PCA projection\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "在上图中,总共包含十种颜色,每一种颜色对应一个类别标签。 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "除了 PCA 之外,t-SNE 也是一种常用的降维算法。相比于 PCA, t-SNE 不具有线性约束。下面使用 t-SNE 来对手写数字体数据进行降维,并对降维后的数据进行可视化。" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'MNIST. t-SNE projection')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 321, "width": 361 } }, "output_type": "display_data" } ], "source": [ "from sklearn.manifold import TSNE # 导入 t-SNE\n", "\n", "tsne = TSNE(random_state=17)\n", "X_tsne = tsne.fit_transform(X)\n", "\n", "plt.figure(figsize=(6, 5))\n", "plt.scatter(\n", " X_tsne[:, 0],\n", " X_tsne[:, 1],\n", " c=y,\n", " edgecolor=\"none\",\n", " alpha=0.7,\n", " s=40,\n", " cmap=plt.cm.get_cmap(\"nipy_spectral\", 10),\n", ")\n", "plt.colorbar()\n", "plt.title(\"MNIST. t-SNE projection\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "从上面的图中可以看出,t-SNE 相比于 PCA,降维效果要好很多。 但是 t-SNE 也有一个缺点,就是其运行时间要大大超过 PCA。在实际使用中,可以根据具体任务需求来选择。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "在对手写数据集进行降维时,如果要保留原始数据的 90% 散度,应该将数据降到多少维呢?先来画出主成分与其所保留的原始数据散度的关系。" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 270, "width": 395 } }, "output_type": "display_data" } ], "source": [ "pca = decomposition.PCA().fit(X)\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.plot(np.cumsum(pca.explained_variance_ratio_), color=\"k\", lw=2)\n", "plt.xlabel(\"Number of components\")\n", "plt.ylabel(\"Total explained variance\")\n", "plt.xlim(0, 63)\n", "plt.yticks(np.arange(0, 1.1, 0.1))\n", "plt.axvline(21, c=\"b\")\n", "plt.axhline(0.9, c=\"r\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "从上图中可以看出,要想保留原始数据 90% 的信息。需要保留 21 个主要组成成分。因此,需要将维度从 64 个特征减少到 21 个。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 聚类" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "聚类是无监督学习算法中的一种。聚类背后的主要思想相对简单,往往可以根据数据点之间的距离来将同类样本聚合在一起。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "上图展示的都是来自 scikit-learn 的不同算法的结果示例。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### K-Means 聚类" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "K-Means 算法是所有聚类算法中最流行且最简单的算法。 下面是它的工作原理:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. 选择认为最佳的类别数量 $k$,即样本大概可以分为多少个簇。\n", "2. 在数据空间内随机初始化 $k$ 点为“质心”。\n", "3. 将每个观察数据点划分到于其最近的簇的质心的簇。\n", "4. 将质心更新为一个簇中所有数据点的中心。\n", "5. 重复步骤 3 和 4 步骤直到所有质心都相对稳定。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "为了更好的理解 K-Means 算法的原理,这里通过一个例子来进行说明。先构建出一个数据集并画图它的分布图,该数据集含有三个簇。" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 308, "width": 322 } }, "output_type": "display_data" } ], "source": [ "# 构造可分为三个簇的数据\n", "X = np.zeros((150, 2))\n", "\n", "np.random.seed(seed=42)\n", "X[:50, 0] = np.random.normal(loc=0.0, scale=0.3, size=50)\n", "X[:50, 1] = np.random.normal(loc=0.0, scale=0.3, size=50)\n", "\n", "X[50:100, 0] = np.random.normal(loc=2.0, scale=0.5, size=50)\n", "X[50:100, 1] = np.random.normal(loc=-1.0, scale=0.2, size=50)\n", "\n", "X[100:150, 0] = np.random.normal(loc=-1.0, scale=0.2, size=50)\n", "X[100:150, 1] = np.random.normal(loc=2.0, scale=0.5, size=50)\n", "\n", "plt.figure(figsize=(5, 5))\n", "plt.plot(X[:, 0], X[:, 1], \"bo\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "开始动手实现 K-Means 算法, K-Means 算法的实现非常简单。按照上述的算法步骤逐步实现即可。在这里,我们使用欧几里德距离来衡量两个数据点之间的距离。当然,你也可以使用其他距离度量方式。 " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true }, "outputs": [], "source": [ "# 调用 Scipy 库的距离计算函数,\n", "# 用于计算数据点之间的距离\n", "from scipy.spatial.distance import cdist\n", "\n", "# 随机初始化三个中心点\n", "np.random.seed(seed=42)\n", "centroids = np.random.normal(loc=0.0, scale=1.0, size=6)\n", "centroids = centroids.reshape((3, 2))\n", "\n", "cent_history = []\n", "cent_history.append(centroids)\n", "\n", "for i in range(3):\n", " # 计算每个点到中心的距离\n", " distances = cdist(X, centroids)\n", " # 获取数据别分到哪个簇\n", " labels = distances.argmin(axis=1)\n", " # 根据数据到每个簇质心的距离,标记这些点的类别\n", " centroids = centroids.copy()\n", " centroids[0, :] = np.mean(X[labels == 0, :], axis=0)\n", " centroids[1, :] = np.mean(X[labels == 1, :], axis=0)\n", " centroids[2, :] = np.mean(X[labels == 2, :], axis=0)\n", "\n", " cent_history.append(centroids)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "可视化出 K-Means 算法的运行过程,以便更好地理解。" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 484, "width": 489 } }, "output_type": "display_data" } ], "source": [ "# 可视化 K 均值聚类步骤\n", "plt.figure(figsize=(8, 8))\n", "for i in range(4):\n", " distances = cdist(X, cent_history[i])\n", " labels = distances.argmin(axis=1)\n", "\n", " plt.subplot(2, 2, i + 1)\n", " plt.plot(X[labels == 0, 0], X[labels == 0, 1], \"bo\", label=\"cluster #1\")\n", " plt.plot(X[labels == 1, 0], X[labels == 1, 1], \"co\", label=\"cluster #2\")\n", " plt.plot(X[labels == 2, 0], X[labels == 2, 1], \"mo\", label=\"cluster #3\")\n", " plt.plot(cent_history[i][:, 0], cent_history[i][:, 1], \"rX\")\n", " plt.legend(loc=0)\n", " plt.title(\"Step {:}\".format(i + 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "从上图中可以看出,仅用两步模型就收敛了,速度非常之快。但该算法有一个缺点,就是它对聚类质心的初始位置的很敏感,也即是随机选取的初始质心值。但是,可以多次运行算法,然后平均所有质心结果。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### K-均值算法中 K 值的选择" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "相比于分类和回归等监督学习任务,聚类算法没有使用含标签的数据。因此,聚类需要更有效的模型评价方法。 通常,当使用 K-Means 算法时,需要最小化观测数据点与其所在的簇的质心之间的平方距离之和。该值越小说明该类聚得越好。公式表达如下:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ J(C) = \\sum_{k=1}^K\\sum_{i~\\in~C_k} ||x_i - \\mu_k|| \\rightarrow \\min\\limits_C,$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "这里的 $C_k$ 是第 $k$ 个簇所有样本的集合,$\\mu_k$ 是 $C_k$ 的中心。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "上面的定义看似合理,也就是希望数据点尽可能接近它们所属簇的质心。但也存在一个问题,当质心数(也就是 K 的值)等于样本数时,公式得到最优解,即 $J(C)$ 达到最小。此时的每个样本都会单独把自己作为一类。这显然是没有意义的。因为这结果相当于没有进行聚类。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "为了避免这种情况,我们应该定义一个函数,使得 $J(C)$ 下降得不那么快。使用公式描述如下:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ D(k) = \\frac{|J(C_k) - J(C_{k+1})|}{|J(C_{k-1}) - J(C_k)|} \\rightarrow \\min\\limits_k $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "为了更好的理解,先看看一个例子。因为 scikit-learn 也提供了各种聚类算法接口,而且使用这些接口有许多优点。例如:这些算法可以并行完成,有效减少了计算时间。所以在这里为了方便,直接使用 scikit-learn 提供的 K-Means 接口进行实验。" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans # 导入 K-均值聚类模型" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "求出 K 值得选择与 $J(C_k)$ 的关系,并画出它们的关系图。" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$J(C_k)$')" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 270, "width": 404 } }, "output_type": "display_data" } ], "source": [ "inertia = []\n", "for k in range(1, 8):\n", " kmeans = KMeans(n_clusters=k, random_state=1).fit(X)\n", " inertia.append(np.sqrt(kmeans.inertia_))\n", "plt.plot(range(1, 8), inertia, marker=\"s\")\n", "plt.xlabel(\"$k$\")\n", "plt.ylabel(\"$J(C_k)$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "从上图中,可以看到当 $k$ 小于 3 时, $J(C_k)$ 下降得非常快。之后相对平稳。这意味着选择 $k$ 等于 3 最为合适。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### K-均值存在的问题" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "实际上,K-Means 算法是一个 $\\text{NPhard}$ 问题。对于 $n$ 个 $d$ 维数据,当我们想要将其聚为 $k$ 个簇时,K-Means 算法的复杂度为 $O(n^{d k+1})$ ,这意味着模型的训练需要大量的时间。不过,这里有一些启发式方法可以缓解这个问题,例如像 MiniBatch K-Means 算法。\n", "它每次仅采用部分数据而不是一次使用整个数据集,然后通过前面所述的方法,通过一个簇中所有观测点的平均值来移动质心。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "关于 K-Means 和 MiniBatch K-Means 的区别或差异可以查阅这份 [ scikit-learn 文档](http://scikit-learn.org/stable/auto_examples/cluster/plot_mini_batch_kmeans.html) 。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 近邻传播算法" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "近邻传播也属于聚类算法中的一种。 与 K-Means 不同的是,这种方法不需要事先设置簇的数量,也就是 K 的值。 近邻传播算法的主要思想是根据观测点之间的相似性来对数据进行聚类。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "如果观察 $x_i$ 与观察点 $x_y$ 相似,但与观察点 $x_k$ 不相似,那么可以定义一个相似度函数 $s$,使得 $s(x_i, x_j) > s(x_i, x_k)$ 。通常采用距离的负平方 $s(x_i, x_j) = - ||x_i - x_j||^{2}$ 来度量两个观测点的相似性。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "为了便于计算,通常通过定义两个矩阵来描述这种“相似性”,分别是 $r_{i,k}$ 和 $a_{i,k}$。 $r_{i,k}$ 表示吸引度,即样本 $x_k$ 适合作为 $x_i$ 的聚类中的的程度。\n", "$a_{i,k}$ 表示归属度,也就是样本 $x_i$ 选择 $x_k$ 作为聚类中心的合适程度。它们的公式表达如下:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$r_{i,k} \\leftarrow s_(x_i, x_k) - \\max_{k' \\neq k} \\left\\{ a_{i,k'} + s(x_i, x_k') \\right\\}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$a_{i,k} \\leftarrow \\min \\left( 0, r_{k,k} + \\sum_{i' \\not\\in \\{i,k\\}} \\max(0, r_{i',k}) \\right), \\ \\ \\ i \\neq k$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$a_{k,k} \\leftarrow \\sum_{i' \\neq k} \\max(0, r_{i',k})$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 谱聚类" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "谱聚类也是一种常用的聚类算法,其结合了上述的一些方法来创建一个性能更强的聚类方法。与其他聚类方法不同,谱聚类是一种图模型。谱聚类将观测点作为图模型的节点,将观测点之间的相似度看作为图模型中节点之间的边。在图模型中,如果两个观测点的边越短,则两个观测点就越相似。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "在谱聚类中,可以通过定义观测点的相似性矩阵来存放数据样本中每两个观测点之间的相似性,通常也称为邻接矩阵。 这可以采用与近邻传播算法类似的方式来构建完成:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$A_{i, j} = - ||x_i - x_j||^{2}$$ " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "相似矩阵相当于描绘了一张图。当图模型构建完成时,就可以对其进行切割。切割原则就是较长的边给切开。换句话说就是把相似的观测点分为一类。 在形式上,这是一个 Normalized cuts 问题,如果想了解更加详细的信息,建议阅读 [ 这篇论文](http://people.eecs.berkeley.edu/~malik/papers/SM-ncut.pdf)。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 凝聚聚类\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "如果你不知道要将数据样本聚为多少个簇,可以考虑使用凝聚聚类算法。凝聚聚类是所有聚类算法中相对简单,也相对容易理解的算法。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "凝聚聚类的算法流程很简单,如下:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. 首先将每个观测点都作为一个簇 \n", "2. 然后按降序对每两个簇中心之间距离进行排序 \n", "3. 取最近的两个相邻的簇并将它们合并为一个簇,然后重新计算簇中心 \n", "4. 重复步骤 2 和 3 ,直到所有观测点都合并到一个簇中 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "在每次迭代中,需要度量两个簇之间的距离。一般可以使用以下几种方法:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. 单链接 \n", "$$d(C_i, C_j) = min_{x_i \\in C_i, x_j \\in C_j} ||x_i - x_j||$$\n", "2. 全连接 \n", "$$d(C_i, C_j) = max_{x_i \\in C_i, x_j \\in C_j} ||x_i - x_j||$$\n", "3. 平均连接 \n", "$$d(C_i, C_j) = \\frac{1}{n_i n_j} \\sum_{x_i \\in C_i} \\sum_{x_j \\in C_j} ||x_i - x_j||$$\n", "4. 质心连接 \n", "$$d(C_i, C_j) = ||\\mu_i - \\mu_j||$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "第三个平均连接是计算时间最有效的,因为它不需要在每次合并后,重新计算距离。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "凝聚聚类的聚类结果可以用树状图进行表示,以帮助识别算法应该在哪一步停止以获得最佳的聚类结果。 Python 也有很多工具可以构建这些树状图。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "现在用凝聚聚类实现一下前面使用 K-Means 实现的聚类例子,这里直接调用 SciPy 提供的接口。 " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 308, "width": 602 } }, "output_type": "display_data" } ], "source": [ "from scipy.cluster import hierarchy\n", "from scipy.spatial.distance import pdist\n", "\n", "X = np.zeros((150, 2))\n", "# 构建数据集\n", "np.random.seed(seed=42)\n", "X[:50, 0] = np.random.normal(loc=0.0, scale=0.3, size=50)\n", "X[:50, 1] = np.random.normal(loc=0.0, scale=0.3, size=50)\n", "\n", "X[50:100, 0] = np.random.normal(loc=2.0, scale=0.5, size=50)\n", "X[50:100, 1] = np.random.normal(loc=-1.0, scale=0.2, size=50)\n", "\n", "X[100:150, 0] = np.random.normal(loc=-1.0, scale=0.2, size=50)\n", "X[100:150, 1] = np.random.normal(loc=2.0, scale=0.5, size=50)\n", "\n", "# pdist将计算成对距离矩阵的上三角形\n", "distance_mat = pdist(X)\n", "# 连接 - 是一种凝聚算法的实现\n", "Z = hierarchy.linkage(distance_mat, \"single\")\n", "plt.figure(figsize=(10, 5))\n", "dn = hierarchy.dendrogram(Z, color_threshold=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "上图显示的是一个凝聚聚类的树状图。从上图可以清晰的看到整个聚类的过程:先把每个样本作为一个簇,经过多次迭代最终聚为一个簇的过程。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 聚类模型评价" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "聚类算法与许多的监督学习算法不同,因为聚类在训练时不需要数据标签,所以不能简单地使用监督学习的评价方法来进行评价。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "聚类算法通常有内部和外部的评价标准。 外部评价指标是使用有关已知真实划分的信息,也就是要知道数据的真实类别。而内部指标不需要知道数据的真实类别,仅根据聚类结果来进行评估。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 调整兰德指数" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "兰德指数是一种常用的聚类评价方法。在该评价方法中,需要知道数据的真实标签,也需要数据集的聚类结果。 设 $n$ 是样本中数据点对数的数量。 设 $a$ 表示在真实标签与聚类结果中都是同类别的观测点对数。 $b$ 表示在真实标签与聚类结果中都是不同类别的观测点对数。兰德指数可以表示为:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\text{RI} = \\frac{2(a + b)}{n(n-1)}.$$ " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "换句话说,兰德指数评估分割后的聚类结果和初始标签一致的比例。对于随机结果,$\\text{RI}$ 并不能保证分数接近 0 。为了实现在聚类结果是随机产生的情况下,兰德指数应该接近零,所以有必要缩放其大小,由此得到了调整兰德指数:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\text{ARI} = \\frac{\\text{RI} - E[\\text{RI}]}{\\max(\\text{RI}) - E[\\text{RI}]}.$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "该评价方法是对称的,不依赖于标签排列顺序。 因此,该指数是样本不同划分之间距离的度量。 $\\text{ARI}$ 可取 $[-1,1]$ 范围内的值。 其值越大表示聚类结果越好。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 调整互信息" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "该评价指标与 $\\text{ARI}$ 类似。 它也是对称的,不依赖于标签的具体值和排列顺序。 互信息 $\\text{MI}$ 由 [ 信息熵](https://en.wikipedia.org/wiki/Entropy_information_theory) 函数定义,用来衡量真实数据分布与聚类结果分布的吻合程度。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "同 $\\text{ARI}$ 一样,这里也定义了调整互信息 $\\text{AMI}$ 。 这可以避免随着聚类数量的增加而导致 $\\text{MI}$ 指数增长。$\\text{AMI}$ 位于 $[0,1]$ 范围内。 其值越大意味着聚类结果越好。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 同质性、完整性、V-mearure" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "从形式上来看,这些指标也是基于熵函数和条件熵函数来定义的,将聚类结果看作是离散分布:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$h = 1 - \\frac{H(C\\mid K)}{H(C)}, c = 1 - \\frac{H(K\\mid C)}{H(K)}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "其中 $K$ 是聚类结果,$C$ 是原始数据。 因此,$h$ 评估的是每个簇是否由相同类别的数据点组成,$c$ 评估的是相同类别的数据点与所属簇的匹配程度。 这些指标不是对称的。两者都位于 $[0,1]$ 范围内,而接近 $1$ 的值表示更准确的聚类结果。 这些指标的值不像 $\\text{ARI}$ 或 $\\text{AMI}$ 指标进行缩放过,因此取决于簇的数量。 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "当簇的数量很大且观测点的数量很小时,该评价方法也不会使评估值接近零。 在这种情况下,使用 $\\text{ARI}$ 可能会更合理。 但是,如果观测点超过 100 个,且簇的数量少于 10 个,此问题则可以忽略。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$V-mearure$ 结合了 $h$ 和 $c$,为 $h$ 和 $c$ 的调和平均值。用来衡量两个划分结果的一致性。其公式如下:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$v = 2\\frac{hc}{h+c}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 轮廓系数" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "与上述评价指标相反,轮廓系数并不需要关于原始数据的真实标签信息。仅使用聚类结果来估计聚类的质量。设 $a$ 是数据点与一个簇内其他观测点之间距离的平均值,$b$ 是观测点到最近簇的观测点的平均距离。则一个观测点的轮廓值为:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$s = \\frac{b - a}{\\max(a, b)}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "样本的轮廓值是所有样本轮廓值的平均值。该系数的取值范围为 $[- 1,1]$。轮廓系数值越高,表示聚类的结果越好。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "因此,通常如果不知道数据可以分为几类,则可以通过获取最大化轮廓系数来确定最佳聚类数 $ k $。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "一般情况下,都不需要我们去实现上述的评价方法,因为在 `sklearn.metrics` 接口中已经提供,只需导入即可。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "最后,通过实验来看看这些指标是如何评价 MNIST 手写数字数据集的,先导入必要的模块:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "from sklearn import datasets, metrics\n", "from sklearn.cluster import (AffinityPropagation, AgglomerativeClustering,\n", " KMeans, SpectralClustering)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "加载数据,并构建不同的聚类算法。" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "data = datasets.load_digits()\n", "X, y = data.data, data.target\n", "\n", "algorithms = []\n", "algorithms.append(KMeans(n_clusters=10, random_state=1))\n", "algorithms.append(AffinityPropagation())\n", "algorithms.append(\n", " SpectralClustering(n_clusters=10, random_state=1, affinity=\"nearest_neighbors\")\n", ")\n", "algorithms.append(AgglomerativeClustering(n_clusters=10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "使用不同评价指标对不同的聚类算法进行评价。" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
ARIAMIHomogenityCompletenessV-measureSilhouette
K-means0.6622950.7365670.7354480.7429720.7391910.182097
Affinity0.1751740.6124600.9589070.4869010.6458570.115197
Spectral0.7564610.8520400.8316910.8766140.8535620.182729
Agglomerative0.7940030.8668320.8575130.8790960.8681700.178497
\n", "
" ], "text/plain": [ " ARI AMI ... V-measure Silhouette\n", "K-means 0.662295 0.736567 ... 0.739191 0.182097\n", "Affinity 0.175174 0.612460 ... 0.645857 0.115197\n", "Spectral 0.756461 0.852040 ... 0.853562 0.182729\n", "Agglomerative 0.794003 0.866832 ... 0.868170 0.178497\n", "\n", "[4 rows x 6 columns]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = []\n", "for algo in algorithms:\n", " algo.fit(X)\n", " data.append(\n", " (\n", " {\n", " \"ARI\": metrics.adjusted_rand_score(y, algo.labels_),\n", " \"AMI\": metrics.adjusted_mutual_info_score(\n", " y, algo.labels_, average_method=\"arithmetic\"\n", " ),\n", " \"Homogenity\": metrics.homogeneity_score(y, algo.labels_),\n", " \"Completeness\": metrics.completeness_score(y, algo.labels_),\n", " \"V-measure\": metrics.v_measure_score(y, algo.labels_),\n", " \"Silhouette\": metrics.silhouette_score(X, algo.labels_),\n", " }\n", " )\n", " )\n", "\n", "results = pd.DataFrame(\n", " data=data,\n", " columns=[\"ARI\", \"AMI\", \"Homogenity\", \"Completeness\", \"V-measure\", \"Silhouette\"],\n", " index=[\"K-means\", \"Affinity\", \"Spectral\", \"Agglomerative\"],\n", ")\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 实验总结" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "本次实验主要围绕无监督学习算法进行的,主要涉及到 PCA 降维方法、各种聚类方法以及各种对聚类模型的评价指标。至此,相信你会对无监督学习有一个清晰的了解,并会使用 PCA 来对数据进行降维。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " 相关链接\n", "- [ scikit-learn 聚类方法](http://scikit-learn.org/stable/modules/clustering.html)\n", "- [ PCA 案例](http://stats.stackexchange.com/questions/2691/making-sense-of-principal-component-analysis-eigenvectors-eigenvalues)\n", "- [ K-Means 与 EM 算法](https://github.com/diefimov/MTH594_MachineLearning/blob/master/ipython/Lecture10.ipynb)\n", "- [ 了解实验楼《楼+ 机器学习和数据挖掘课程》](https://www.shiyanlou.com/louplus/)" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }