{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Python数据科学分享——3.数据可视化(2)\n", "\n", "> 有简洁高效的seaborn,声明式的altair,还有一键生成的voila,以及不用写react的dash\n", "\n", "- toc: true \n", "- badges: true\n", "- comments: true\n", "- categories: [jupyter,Python,Data Science]\n", "\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T14:33:04.976532Z", "start_time": "2020-06-05T14:33:02.504728Z" } }, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "%matplotlib inline\n", "from matplotlib.font_manager import _rebuild\n", "\n", "_rebuild()\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "sns.set_style(\"whitegrid\", {\"font.sans-serif\": [\"SimHei\", \"Arial\"]})\n", "\n", "import pandas_alive\n", "import pandas as pd\n", "import numpy as np\n", "\n", "import ssl\n", "ssl._create_default_https_context = ssl._create_unverified_context\n", "\n", "iris = sns.load_dataset(\"iris\")\n", "tips = sns.load_dataset(\"tips\")" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:45:18.556648Z", "start_time": "2020-06-05T13:45:18.300419Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "df_covid = pd.read_json(\"3.data-viz/timeseries.json\")\n", "df_covid.index = pd.DatetimeIndex(df_covid.iloc[:, 0].apply(lambda _: _[\"date\"]))\n", "df_covid.index.name = \"日期\"\n", "df_covid = df_covid.applymap(lambda _: int(_[\"confirmed\"]))\n", "df_covid.replace(0, np.nan, inplace=True)\n", "top20 = df_covid.iloc[-1].sort_values().tail(20).index\n", "df_covid = df_covid[top20]" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# [seaborn](https://seaborn.pydata.org/)统计图\n", "\n", "面朝大海,春暖花开——海子(原名查海生,1964-1989,安徽安庆市怀宁县人)\n", "\n", "2012年,美国斯坦福大学(Stanford)Michael Waskom(目前就职纽约大学NYU)用高级接口在Matplotlib基础上为数据探索和模型拟合创建各种统计图\n", " \n", "\n", "## 频次直方图、KDE图" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2020-05-26T04:19:04.444451Z", "start_time": "2020-05-26T04:19:04.376131Z" } }, "outputs": [], "source": [ "data = np.random.multivariate_normal(mean=[0, 0], cov=[[5, 2], [2, 2]], size=2000)\n", "data = pd.DataFrame(data, columns=[\"x\", \"y\"])" ] }, { "cell_type": "code", "execution_count": 255, "metadata": { "ExecuteTime": { "end_time": "2020-05-25T11:53:41.485471Z", "start_time": "2020-05-25T11:53:41.082877Z" }, "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 6))\n", "for col in \"xy\":\n", " plt.hist(data[col], density=True, alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "除了频次直方图,我们还可以用KDE获取变量的平滑分布估计图。Seaborn通过`sns.kdeplot`实现:" ] }, { "cell_type": "code", "execution_count": 273, "metadata": { "ExecuteTime": { "end_time": "2020-05-25T12:01:48.536529Z", "start_time": "2020-05-25T12:01:48.132515Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 6))\n", "for col in \"xy\":\n", " sns.kdeplot(data[col], shade=True)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "用`sns.distplot`可以让频次直方图与KDE叠加:" ] }, { "cell_type": "code", "execution_count": 261, "metadata": { "ExecuteTime": { "end_time": "2020-05-25T11:55:36.461450Z", "start_time": "2020-05-25T11:55:35.951907Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 6))\n", "for col in \"xy\":\n", " sns.distplot(data[col])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "如果向`kdeplot`输入的是二维数据集,那么就可以获得一个二维数据可视化图:" ] }, { "cell_type": "code", "execution_count": 268, "metadata": { "ExecuteTime": { "end_time": "2020-05-25T11:59:22.813123Z", "start_time": "2020-05-25T11:59:21.350213Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 6))\n", "sns.kdeplot(data.x, data.y);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "用`sns.jointplot`可以同时看到两个变量的联合分布与单变量分布: " ] }, { "cell_type": "code", "execution_count": 270, "metadata": { "ExecuteTime": { "end_time": "2020-05-25T12:00:30.381540Z", "start_time": "2020-05-25T12:00:28.246597Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style(\"white\"):\n", " sns.jointplot(\"x\", \"y\", data, kind=\"kde\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "可以向`jointplot`函数传递一些参数。例如,可以用六边形块代替频次直方图:" ] }, { "cell_type": "code", "execution_count": 271, "metadata": { "ExecuteTime": { "end_time": "2020-05-25T12:01:05.454232Z", "start_time": "2020-05-25T12:01:04.466696Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style(\"white\"):\n", " sns.jointplot(\"x\", \"y\", data, kind=\"hex\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## 矩阵图(pair plot)\n", "\n", "用`sns.pairplot`探索多维数据不同维度间的相关性,例如费舍尔鸢尾花数据集记录了3种鸢尾花的花瓣与花萼数据:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:05.542339Z", "start_time": "2020-05-28T11:03:59.893329Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.pairplot(iris, hue=\"species\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## 分面频次直方图\n", "\n", "`sns.FacetGrid`获取数据子集的频次直方图。例如,饭店服务员收小费的数据集:\n", " " ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:06.963328Z", "start_time": "2020-05-28T11:04:06.873048Z" } }, "outputs": [ { "data": { "text/html": [ "
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total_billtipsexsmokerdaytimesizetip_pct
016.991.01FemaleNoSunDinner25.944673
110.341.66MaleNoSunDinner316.054159
221.013.50MaleNoSunDinner316.658734
323.683.31MaleNoSunDinner213.978041
424.593.61FemaleNoSunDinner414.680765
\n", "
" ], "text/plain": [ " total_bill tip sex smoker day time size tip_pct\n", "0 16.99 1.01 Female No Sun Dinner 2 5.944673\n", "1 10.34 1.66 Male No Sun Dinner 3 16.054159\n", "2 21.01 3.50 Male No Sun Dinner 3 16.658734\n", "3 23.68 3.31 Male No Sun Dinner 2 13.978041\n", "4 24.59 3.61 Female No Sun Dinner 4 14.680765" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tips[\"tip_pct\"] = 100 * tips[\"tip\"] / tips[\"total_bill\"]\n", "tips.head()" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:08.956023Z", "start_time": "2020-05-28T11:04:07.108182Z" }, "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid = sns.FacetGrid(tips, row=\"sex\", col=\"time\", margin_titles=True, height=4)\n", "grid.map(plt.hist, \"tip_pct\", bins=np.linspace(0, 40, 15))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## 分类图(Categorical plot)\n", "\n", "\n", "展示分类数据分布情况:\n", "\n", "1. Categorical scatterplots:\n", "\n", " - :func:`stripplot` (with ``kind=\"strip\"``; the default)\n", " - :func:`swarmplot` (with ``kind=\"swarm\"``)\n", "\n", "1. Categorical distribution plots:\n", "\n", " - :func:`boxplot` (with ``kind=\"box\"``)\n", " - :func:`violinplot` (with ``kind=\"violin\"``)\n", " - :func:`boxenplot` (with ``kind=\"boxen\"``)\n", "\n", "1. Categorical estimate plots:\n", "\n", " - :func:`pointplot` (with ``kind=\"point\"``)\n", " - :func:`barplot` (with ``kind=\"bar\"``)\n", " - :func:`countplot` (with ``kind=\"count\"``)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:09.035695Z", "start_time": "2020-05-28T11:04:08.959521Z" }, "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "def show_factor(kind=\"strip\"):\n", " g = sns.catplot(\"day\", \"total_bill\", \"sex\", kind=kind, data=tips, height=7)\n", " g.set_axis_labels(\"日期\", \"小费金额\")\n", " g._legend.set_bbox_to_anchor((1.1, 0.5))" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:09.589398Z", "start_time": "2020-05-28T11:04:09.038892Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_factor()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:10.129267Z", "start_time": "2020-05-28T11:04:09.593370Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_factor(kind=\"swarm\")" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:10.755781Z", "start_time": "2020-05-28T11:04:10.133702Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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99pq+9a1vWXHYqJeXl6eYmM6n1Ol0as6cOTYnAgAAwWDJKdHExEQ9++yzp3ysuLhY77zzju68805ddNFFVhw26rndbmVlZenVV19VVlaW3G633ZEAAEAQWHYN2+kSExOVnZ0dqsNFrby8PNXW1jK7BgBABAlZYUNouN1urVmzxu4YAAAgiNhLFAAAwHAUNgAAAMN1W9h8Pp/eeeedc37+xIkT+tOf/hT0UAAAAPg/3V7D5nA49Mwzz+imm27S7373O23YsKFrx4K0tDR9+OGHGjVqlBYtWhSSsAAAANGox8L20UcfqaCgQMePH9fMmTP1wQcfaODAgRo6dKhGjBihadOmhSorAABAVOrxGrZRo0Zp7ty5uuyyy9TQ0KC/+Zu/0eWXX67q6mq9+OKLOnLkSChyAgAARK1uC1t7e7uuvvpqDR06VDfffLMOHTqknTt3qrKyUhdffLFWrlypRYsWyev1hiovAABA1Om2sMXGxmrx4sWaOHGiWlpaNH78eC1dulRffPGFkpOTVV1drSuvvLJr/0oAAAAEX7dN68iRI9q9e7fS0tL0zW9+U5MnT9bGjRs1ZcoUvf7666qqqtK8efNClRUAACAqdTvDdvDgQdXU1EiSli1bptTUVMXHx+vPf/6zRo4cqYEDB7KROwAAgMW6LWzXXXedFi1apC+++ELjxo2TJGVlZam9vV0VFRVKT0/XqlWrQhIUAAAgWgV08dmCBQuUkpKi3/72t9q7d6++8Y1vqL29XSNGjLA6HwAAQNQLqLBlZ2dLkjZu3KhZs2ad8rl9+/Zp1KhRwU8GAAAASb3YS/Tdd9/V9u3bJUlvvvlm18dXrlwZ/FQAAADoEvB6HI899pgSEhIkSb/97W/12muvKSMjQ7GxsZaFAwAAQIAzbE8//bQmTJighoYGSZ3rsy1dulQfffSR9u/fb2lAAACAaNdjYXvkkUfU2tqq73//+/L7/dq6davq6+v1xhtvaOjQoRo8eHAocgIAAFiutbVVP/jBDzR79mz96Ec/0rFjx7Rw4ULNnj1bP//5zyVJe/bs0cKFC+Xz+TRz5kwdOnTI8lzdnhI9duyY9u3bp5tvvrnrY36/X36/3/Jg+D9lZWUqKSkJ6LGNjY2SpEGDBgX0+OzsbGVmZp53NgAAIklNTY0cDoeef/55/dd//Ze2bNmikSNHas2aNbrrrrtUXV2t6667Tv/xH/+hlStXasqUKbrkkkssz9XtDNuAAQP0xBNP6PPPP9f69eslSbfddpsGDx6sq6++Wq+++qp8Pp/lIRE4j8cjj8djdwwAAMLSmDFjdOWVV+pf/uVf9Pbbb+vTTz9VeXm5cnNz9dlnn+nw4cOSpJycHG3evPmM1TOsEtBNB4sXL1ZBQYEGDhwoqXNT+Ndff11LlizRgw8+aGlASJmZmQHPguXn50uSVq9ebWUkAAAiUnV1tcaPH6+7775bixcv1pgxY3TNNdfoe9/7nl5//XVdeumlkqTHH39c8+bN07p167R06VLLcwW8rMfPfvYzHTlyREeOHNGKFSt05513atSoUUpKSrIyHwAAQMikpqaquLhYs2bN0hdffKHbb79db731lmbPnq2NGzfqkksuUWlpqYYMGaL8/Hx9/PHH+vDDDy3PFfCyHk6nUwUFBUpKStKQIUO6Pv7www9bEgwAEFpr167t2j86mE6OefIMQDClpaVpwYIFQR8X0SshIUFPP/30KR87/axVVlaWsrKyJOmMx1ol4MImdV7Q/vbbb2vChAnq27evVZkAADaoqanR3g+q1BEf3DMnjo7Of2oq/nQ4qOM6mxuCOh5gsh4L289+9jPt27dPs2fP1pYtW3TZZZepsrJSCxYsUHt7uwoKCnT//feHIisAwGId8UlqGZ1td4yA9KsO7O55IBL0WNhqa2u1cuVK7dy5Uw6HQ8uXL9ctt9yiHTt2aPTo0V03IgAAAMAaPd500NjYqF27dmn//v1qbGzUzp07NXz4cL344os6dOiQ7rzzzlDkBAAAiFo9zrD5/X61tLToxIkT6ujo0PHjx+X3+/Xcc8/pxz/+ccALtALd4WJnAEBv3HX3PTpSH7zrGIckJ+k3D/+/oI0XbD0WtpiYGA0ZMkQNDQ3q37+/brvtNr300ksaMGCAli1bpjVr1mjYsGEhiIpIxsXOAIDeOFLfoE9Sbu75gYE6/Ga3n166dKlaWlq0evVqLVq0SHFxcXrooYfO+tjc3FwVFxcHL5t6KGx+v1+tra365JNPdODAAX3xxRdatGiRHA6H/vEf/1HDhw/Xk08+yeK5CAoudgYAmKy6urrrz7Fjx4b02N1ew+ZwOHTxxRfr1ltv1eWXX67k5GSNHj1a+/bt05w5c1RdXa19+/aFKisAAIBt+vTpo8bGRrlcLjU3N2vu3LnKycnRsmXLzvk1LS0tZ2wefz56PCV67bXXyu12q3///hozZozmzp2r3/3ud3rqqafUp08fvfnmm/J6vXK5erWkGwDYjmsnAfTGqFGjVFJSotGjR8vn8yk3N1cTJ07U3LlzVV9fr+Tk5DO+ZtOmTWdsHj969OheH7vHlnX33Xef8qckLV++XO3t7erTp0/XpvAAEG5qamr08Yfv6fIBHUEdN8HvkCS1HdgT1HEPHnMGdTwAvTNmzBi9/PLL+ru/+ztVV1dr8+bNeumll9TU1KTW1tazfs2nn36q9957T3/84x/11Vdf6fDhw9YUtr/W3t6uTZs2acOGDVqwYIGmTZvW6wMCgEkuH9Che8d/ZXeMgDzwboLdEYCo9vWvf10PPfSQfvrTn+rDDz9UZmambrnlFuXm5p7za4YPH37WzeN7K+DCtmfPHv385z9XZmamXnjhBZbzAAAAthmSnNTjnZ29Hq8HqampGjZsmC699FIdPnxY69ev18aNGyVJhw8f1mWXXXbG18yYMUPLli3rWmFj1apV55Uv4MI2YsQIFRYWKikpuMsuAAAA9Fao10w7uYRHWVmZJKmoqOicj/3rJT3i4+PP2Dz+fPRY2J566ik5nWe/bsLhcGj8+PG65pprLjgIAAAAzq7HwjZkyBDFxcWd9XMdHR1avny5Xn311aAHAwCgJ3V1dZbcjcudvjBNj4Xt7//+7yVJR48eVVxcnPr06XPK548fP25NMgAAetDS0sKdvogKAV/Dtnv3bv3617/WDTfcoO9973u69tprJUm33367ZeEAAOgJd/oiGgRc2DIyMjRlyhTt3LlTTz75pAYOHHjOPbQAAACsdO/iu9RUH7x9ohOTU/TAqt8Ebbxg69U6bA6HQzfddJNuuukmNTc3W5UJAACgW031h7XkiuqgjferT7r//Nq1a1VSUtK1m0FmZqbuuOOOCzpmbzaJP+/9pOLj48/3SwEAAMLO/Pnz9Q//8A+2HJsNQAEERTjuy1lXV6czd/4DgJ61tLRoyZIl8ng8uvLKK7VixQpNnz5dSUlJio2NVX19vaZPn67Jkyfrxz/+sRwOh66//notWrTorOPV19dr6dKlOnbsmL797W/rBz/4wSmfp7ABCIqamhrt/aBKHfHBXVzb0dH5MlXxp+BdqyJJzuYGDegbK8UGdVgAEeyJJ57Qli1bdMUVV2jYsGFnbOre0tKi1atX69Zbb9Vzzz2nxx9/XGPGjNHixYuVnp6uWbNmnbOwPfnkk8rOztb06dN1++23a8aMGafsKkVhAxA0HfFJahmdbXeMgPSrLpF8R+2OASCM/PUp0RUrVpyxqXtycrL69++v1NRUxcTEyO/3y+Vy6bHHHlN8fHy3S6F9+umn2rt3r15++WW1tLToyJEjFDYAAIALEeim7s8++6zmzZun0aNHd61te67xpkyZogkTJmjbtm0aOHDgKZ+nsAEAgLCTmJzS452dvR2vNwLd1P3b3/62CgoKNGjQIPXr10+HDx9WSsqZx5o3b56WL1+uRx99VJdddpmmTZt2yucpbAAAIOyEes2007cTO9um7ieX6Dj558n1arOzz36pyF8v6TF48GCtX7/+nMeP6X1kAAAAhBKFDQAAwHAUNgAAAMNR2AAAAAxHYQMAADAchQ0AAMBwLOsBhEBZWZlKSkoCemxjY6MknbLCdXeys7OVmZl53tkAAOajsAGG8Xg8kgIvbACAyEdhA0IgMzMz4Fmw/Px8STpjQUYAQPTiGjYAAADDRcQM29q1a1VTUxP0cU+OeXLGI5jS0tLO2OYCAADgbCKisNXU1GjvB1XqiE8K6riOjs5vT8WfDgd1XGdzQ1DHAwAAkS0iCpskdcQnqWX02TdXNU2/6sDuFgQAAJC4hg0AAMB4FDYAAADDUdgAAAAMR2EDAAAwHIUNAADAcBQ2AAAAw1HYAAAADEdhAwAAMByFDQAAwHAUNgAAAMNR2AAAAAwXMXuJAgAuTENDg5zNnrDZ79jZ7FG70yHF2p0EsB4zbAAAAIZjhg0AIElKSkrSp1+2q2V0tt1RAtKvukSxvqN2xwBCghk2AAAAw1HYAAAADGfJKdGjR49q0aJF8vl86tevnx555BEVFBTok08+0c0336wf/vCHVhwWAAAgIlkyw/bKK6/on//5n/XMM88oOTlZJSUl8vl82rRpkz777DPV1tZacVgAAICIZMkM2+zZs7v+u7GxUa+88ory8vIkSZMmTVJFRYWGDRvW7RhtbW2qqqoK6HjNzc3nndUuzc3NAf//9XZcSZaMbSWew1PHlXgOQ8Hn89kdodes+rk7OXa4iYbnMD093cI0CBeW3iX63nvvqampSampqUpJSZEkJSYmqq6ursevjYuLC/iHND4+XlJ43SkUHx9vyS9h5/ci/H7BeQ5PHVfiOQyFmJjwu4zXqp+7k2PzHFrPyucQkcuyn/Qvv/xSv/jFL/TAAw8oPj5era2tkjrfWYTjOyIAAAC7WFLYTpw4ofz8fC1evFipqam66qqrVFFRIUmqrq5WamqqFYcFAACISJYUti1btuijjz7SE088odzcXPn9fm3btk0PPvigXnvtNX3rW9+y4rAAAAARyZJr2HJycpSTk3PKxyZPnqx33nlHd955py666CIrDgsAABCRQrY1VWJiorKzw2O7EwAAAJOE3+01AAAAUYbCBgAAYDgKGwAAgOEobAAAAIYL2U0HOFVdXZ3y8/ODPm5NTY0kWTJ2WlqaFixYEPRxAQBA9yhsNmlpadHHH76nywd0BHXcBL9DktR2YE9Qxz14zBnU8QAAQOAobDa6fECH7h3/ld0xAvLAuwl2RwAAIGpR2ABErfb2dh1odYbNG5IDR51KbmiwOwYAG1DYAARFQ0ODnM0e9asusTtKQJzNHnXIJ072AwgHFDYAUcvpdOpr8a1hdWlCXFKS3TEA2IDCBiAokpKS9OmX7WoZHR5b0PWrLlGs76jdMQAgIKzDBgAAYDgKGwAAgOEobAAAAIajsAEAABiOmw4AAGGLtfQQLShsMEI4ruHV0BBrdwwAQJSgsAEAwlZsbKyGxh9nLT1EPAobjBCOa3gl8aILAAiRiChs4Xg6rd3pkDijBgAAAsBdogAAAIaLiBm2cDydxpY4AAAgUMywAQAAGI7CBgAAYDgKGwAAgOEi4ho2wA51dXXKz88P+rg1NTWSZMnYaWlpWrBgQdDHBQBYi8IGnKeWlhZ9/OF7unxAR1DHTfA7JEltB/YEddyDx5xBHQ8AEDoUNuACXD6gI6xWWAcAhCeuYQMAADAchQ0AAMBwFDYAAADDUdgAAAAMx00HwHlqb2/XgVZn2FzMf+CoU8kNDXbHAACcB2bYAAAADMcMG3CeYmNjNTT+eFgt6xGXlGR3DBjO2dygftUlQR3T0d4iSfLH9gvquM7mBqlvrA4eC/5Md9OJzvUQE/v4gzruwWNOjQzqiIgWFDYAgKTOnTCscHL3jrQRKUEeOUXHjx9X//7Bz/3VXzIP+Vpwxx4p677PiGwUNgCAJFm2bdnJbdZWr15tyfhWCMfMiGxcwwYAAGA4ChsAAIDhKGwAAACGo7ABAAAYjsIGAABgOAobAACA4ShsAAAAhmMdNgBRjVXyAYQDChuAoAm3bY36DUpQqgWrzrNKPoBgo7DZpL29XQdag//O3ioHjjqV3NBgdwwYLBy3NUpLS7NkdX9WyQcQbBFT2MLtnb2cQWb5890AAArJSURBVB0SsB3bGgGAdSKisIXjO/u6ujole4/r3vFfBXlsazzwboLikpLsjgEAQFSKiMIWju/s8/Pz1XbgUNDHBQAAkYdlPQAAAAxHYQMAADAchQ0AAMBwFDYAAADDUdgAAAAMR2EDAAAwHIUNAADAcBQ2AAAAw1HYAAAADEdhAwAAMFxEbE0Vrg4ec+qBdxOCOmbTCYckKbGPP6jjHjzm1MigjngmZ3OD+lWXBHVMR3uLJMkf2y+o4zqbG6S+sUEdEwCAc6Gw2cSqDeu/+suG9UO+FtzxR8q6zLJw7Jq/fD/SRqQEeeQU1dXVSd4vgzwuAABnorDZJBw3rLdSOH4/8vPz1XbgUNDHBQDgdFzDBgAAYDgKGwAAgOEobAAAAIajsAEAABiOmw6AC8DSLACAUKCwAeeJpVkAAKFCYQPOUzguRQIACE9cwwYAAGA4ChsAAIDhKGwAAACGo7ABAAAYjsIGAABgOAobAACA4ShsAAAAhqOwAQAAGM7SwlZfX6+cnBxJUnt7u+bPn69Zs2Zpy5YtVh4WAAAgolhW2JqamrRkyRK1tLRIkjZs2KAxY8Zo48aNKisr07Fjx6w6NAAAQESxbGsqp9OpRx99VD/84Q8lSbt379ZPfvITSdL111+vDz74QBMmTDjn17e1tamqqsqqeAFpbm6WJNtz9EY4ZrZSOH4/wjGzlcLx+xGOma0Ujt8PkzKnp6fbHQEGsKywDRgw4JS/t7S0KCUlRZKUmJgoj8fT7dfHxcXZ/kMaHx8vKbx+WcIxs5XC8fsRjpmtFI7fj3DMbKVw/H6EY2ZEtpBt/h4fH6/W1lZddNFFam5u7vplAAAgFMrKylRSUhLQY2tqaiRJ+fn5AT0+OztbmZmZ550N6EnI7hIdM2aMKioqJEnV1dVKTU0N1aEBAOgVt9stt9ttdwygS8hm2G677TbNmzdPe/bsUU1NjcaOHRuqQwMAoMzMTGbBELYsn2ErLi6WJKWmpuqZZ57R+PHj9dxzz8npdFp9aAAAgIgQshk2SUpJSVF2dnYoDwkAABD22OkAAADAcBQ2AAAAw1HYAAAADEdhAwAAMFxIbzoAgoHFLwEA0YbChojGwpcAgEhAYQsDzCidisUvAQDRhsIWYZhRAgAg8lDYwgAzSgAARDfuEgUAADAchQ0AAMBwFDYAAADDcQ0bgJDjzmcA6B0KGwCjceczAERhYeOdPWA/7nwGgN6JusLWG7yzBwAAJoi6wsY7ewC4cJytAEIr6gobACC0OFsBXDgKGwCg1zhbAYQW67ABAAAYjsIGAABgOAobAACA4ShsAAAAhqOwAQAAGI7CBgAAYDgKGwAAgOEobAAAAIajsAEAABiOwgYAAGA4tqYCQoCNsgEAF4LCBhiGjbIBAKejsAEhwEbZAIALwTVsAAAAhqOwAQAAGI7CBgAAYDgKGwAAgOEobAAAAIajsAEAABiOwgYAAGA4ChsAAIDhKGwAAACGo7ABAAAYjsIGAABgOAobAACA4ShsAAAAhqOwAQAAGI7CBgAAYDgKGwAAgOEobAAAAIajsAEAABiOwgYAAGA4ChsAAIDhXHYHAIBwUFZWppKSkoAeW1NTI0nKz88P6PHZ2dnKzMw872wAIh+FDQCCzO122x0BQIRx+P1+v90hzqaqqkrp6el2xwAAALAd17ABAAAYjsIGAABgOAobAACA4ShsAAAAhqOwAQAAGI7CBgAAYDgKGwAAgOEobAAAAIajsAEAABiOwgYAAGA4ChsAAIDhKGwAAACGo7ABAAAYjsIGAABgOAobAACA4ShsAAAAhqOwAQAAGI7CBgAAYDgKGwAAgOFcdgc4l7a2NlVVVdkdAwAAW7lcLo0cOdLuGLCZw+/3++0OAQAAgHPjlCgAAIDhKGwAAACGo7ABAAAYjsIGAABgOAobAACA4ShsAAAAhjN2HbZwtmHDBpWVlel//ud/NHbsWDU1NWn58uW68cYb7Y6G87B27VqVlJQoOTlZkpSZmak77rjjrI+9//77tXz58lDGQw+am5t1zz33qKmpSZdccol+/etfy+FwnPG4k+s+pqenhzoiehDocwhEMmbYLHDHHXeouLhYKSkpKi4u1tSpU+2OhAs0f/58FRcXq7i4+JxlTRJlzUDbtm3TuHHjtGHDBvXp00eVlZVnfVxVVRWLdRsq0OcQiGTMsIXIzp07tWbNGh07dkxPPfWUNm7cqBtuuEE33nijXnrpJUnS9OnTlZubq6uuukr79+/X008/bXNqnMu5nqfc3FwVFxfbmAynS0lJ0datWzV16lTdf//9On78uObOnauWlhZ97Wtf04MPPqhVq1apvLxcUmc5KCwstDk1/trpz+HatWvV0tJyyutnXV2dvF6v9uzZ0/U6O3jwYJuTA8FDYQuRAwcO6Pnnn9dvfvMb/eEPfzjn4/bu3avc3FwtWbIkhOnQkyeeeEJbtmzRFVdcoYKCAp6nMDJ58mS1trZqwYIFuvHGG5WTk6Pc3FxNnDhRc+fOVX19vRYvXqzhw4dL6nzjBLOc/hwOGDDgrI87/XX21ltvDXFSwDqcEg2R7373u5KkSy+9VO3t7ad8rrW1teu/R44cqe985zshzYaenTwlWlBQIInnKZzU1tbqb//2b7V161Y1NDSopKREmzdv1k9+8hM1NTWd8vsHM53+HL7yyitdn/vr56+711kg3FHYQqRfv36n/D02NlYNDQ2SpB07dnR9vH///iHNhfPD8xQ+Nm/erPLycjmdTo0cOVIbN25UZmamVq1apfj4+K7H9e3bVy0tLZIktlg2y+nP4fTp08/6+nn66ywQSShsNpk8ebI2bNigf/u3f9PAgQPtjgNErDlz5uill15Sbm6u3n//fT3yyCNav3698vLyJEmHDx+WJE2cOFHl5eWaNWuW9uzZY2dknOb05zAjI4PXT0Qdh5+3kgAAAEZjhg0AAMBwFDYAAADDUdgAAAAMR2EDAAAwHAvnAlFs3LhxZ+yd+ec//1nf//73lZOTI0l65JFHdP311+vGG2/UjBkz9PLLL+sb3/iGvv71r6uurk7Lly/XlClT7IgPAFGDwgZEsUsvvVQvvPDCKR9bt26dXK7Ol4Zdu3Zp69ateuONN5SQkKDa2lq9+OKLGj58uIqLi7V27VrFxsbaER0AogqnRIEo5nQ6z/rxmJjOl4ZvfvObmjlzpu69914VFxdr5MiRmjFjRtfnAQChwQwbEMWOHDmi3NzcUz5WV1enu+6665SPPfDAA0pISOj6+8GDB5Wbm6u6ujqNHTs2JFkBIJpR2IAodvHFF6u4uPiUj61bt+6Mx02cOFEjRozQ5s2bJUlut1sFBQV6/vnnQ5ITAKIdhQ2IYj1tdFJcXKzf//73GjRokA4cOKD//d//1YYNGxQfH6/GxsauvTcBANaisAFR7FyFzefzSZJyc3Plcrl07bXX6tixY2pqapLP59OECRN03XXXadeuXaGMCwBRi8IGRLHPP//8rNewzZ8/X1LnXaI7duzQzJkz5fV6dd9992n//v16+OGH1dzcrEOHDmn8+PF2RAeAqEJhA6JYcnLyWa9h83q9kqRRo0bpoYceUkxMjPr06aMFCxbo7bff1ogRI/TVV1+pb9++3HQAACHg8Pd0EQsAAABsxWJKAAAAhqOwAQAAGI7CBgAAYDgKGwAAgOEobAAAAIb7/+925LhDYS7sAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_factor(kind=\"box\")" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:11.317335Z", "start_time": "2020-05-28T11:04:10.768208Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_factor(kind=\"violin\")" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:12.135787Z", "start_time": "2020-05-28T11:04:11.320753Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_factor(kind=\"bar\")" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:12.810165Z", "start_time": "2020-05-28T11:04:12.138299Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_factor(kind=\"point\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## 联合分布图\n", "\n", "`sns.jointplot`画出不同数据集的联合分布和各数据本身的分布:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:13.643813Z", "start_time": "2020-05-28T11:04:12.812257Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(\"total_bill\", \"tip\", data=tips, kind=\"hex\");" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2020-05-26T04:31:04.223058Z", "start_time": "2020-05-26T04:31:03.366162Z" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "联合分布图也可以自动进行KDE和线性拟合:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:14.724962Z", "start_time": "2020-05-28T11:04:13.646746Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(\"total_bill\", \"tip\", data=tips, kind=\"reg\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## [pandas-profiling](https://github.com/pandas-profiling/pandas-profiling)\n", "\n", "Pandas + Matplotlib + Seabron实现的极速EDA工具,[中文显示设置方法](https://blog.csdn.net/wangyaninglm/article/details/101025067)\n", "\n", "\n", "\n", "1. 类型推断(Type inference):检测Dataframe字段类型\n", "1. 基础统计(Essentials):数据类型、惟一值、缺失值\n", "1. 分位数统计(Quantile statistics):最小值,Q1,中位数,Q3,最大值,四分位距(interquartile range, IQR)\n", "1. 描述性统计(Descriptive statistics):均值、众数、标准差、和、MAD(Median absolute deviation, 中位数绝对偏差)、CV(coefficient of variation,变异系数)、峰度、偏度\n", "1. 高频次样本(Most frequent values)\n", "1. 频次直方图(Histogram)\n", "1. 相关矩阵(Correlation Matrix):三大相关系数——皮尔逊(Pearson)、斯皮尔曼(Spearman)和肯德尔(Kendall),ϕ相关系数(Phi coefficient, Matthews coefficient=MCC)\n", "1. 缺失值处理(Missing values):矩阵、计数、热力图(heatmap)和树状图(dendrogram)\n", "1. 文本分析(Text analysis):文本数据的类别(大小写、空格)、字体(拉丁、西里尔)和字符(ASCII)\n", "1. 文件和图像分析(File and Image analysis):提取文件大小、创建日期和尺寸,并扫描截断的图像或包含EXIF信息的图像" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:41:55.945312Z", "start_time": "2020-06-05T13:41:55.868317Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "from pandas_profiling import ProfileReport\n", "\n", "profile = ProfileReport(iris, title=\"EDA报告\", explorative=True)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:42:30.652199Z", "start_time": "2020-06-05T13:42:30.546683Z" }, "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "362b37344d664a5e880227dcf15cd7a6", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(FloatProgress(value=0.0, description='Export report to file', max=1.0, style=ProgressStyle(desc…" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "profile.to_file(\"iris_profile.html\")" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:24.917264Z", "start_time": "2020-05-28T11:04:24.574459Z" } }, "outputs": [], "source": [ "!open iris_profile.html" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:42:48.620887Z", "start_time": "2020-06-05T13:42:37.747820Z" }, "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(FloatProgress(value=0.0, description='Render widgets', max=1.0, style=ProgressStyle(description…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "05af9e752353476280909204da3822f0", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(Tab(children=(Tab(children=(GridBox(children=(VBox(children=(GridspecLayout(children=(HTML(valu…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "profile.to_widgets()" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2020-05-26T06:45:38.120285Z", "start_time": "2020-05-26T06:45:38.073887Z" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "字段较多时,相关性分析会比较慢,可以通过`minimal=True`设置参数" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:42:54.201631Z", "start_time": "2020-06-05T13:42:54.126561Z" }, "scrolled": true }, "outputs": [], "source": [ "profile = ProfileReport(iris, minimal=True)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 声明式图形库\n", "\n", "\n", "Matplotlib的缺点:\n", "\n", "1. 样式不够丰富\n", "3. web/交互比较差\n", "4. 大数据渲染速度慢\n", "1. API是**命令式(Imperative)**,语法比较啰嗦\n", "5. 数据可视化最大的挑战之一是图形的可移植性(portability)和可重复性(reproducibility ),创建一个图形并导出到PNG或PDF后,数据就很难再提取出来被再次利用。" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## [altair](https://altair-viz.github.io/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2015年,美国华盛顿大学天文学家、UW eScience Institute主任Jake Vanderplas(@jakevpd,目前在谷歌开发基于Numpy的自动微分器[jax](https://github.com/google/jax))在可视化语义(visualization grammar)库[Vega](https://github.com/vega)基础上开发了altair,一种Python的声明式统计可视化库(Declarative statistical visualization library),将图形打包成描述数据和可视编码之间的关系的**声明式(Declarative)**JSON文件,从而实现将图形与JSON互转,增量更新无需重新绘制\n", "\n", "![](3.data-viz/altair-logo-light.png)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "| 命令式(Imperative)| 声明式(Declarative)|\n", "|:-:|:-:|\n", "|关注怎样做(How)的过程|关注做什么(What)的结果|\n", "|必须手工配置绘图步骤|自动完成绘图细节|\n", "|配置与执行是耦合的|配置与执行分离的|\n", "\n", "\n", "> “声明式可视化让你专注数据与联结,毋需深陷技术细节\n", ">\n", "> (Declarative visualization lets you think about data and relationships, rather than incidental details.)”\n", ">\n", "> ——Jake Vanderplas 2017" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:40.281462Z", "start_time": "2020-05-28T11:04:40.230190Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "import altair as alt\n", "from vega_datasets import data" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:40.401707Z", "start_time": "2020-05-28T11:04:40.283606Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "" ], "text/plain": [ "alt.RepeatChart(...)" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "column = iris.columns.to_list()\n", "\n", "alt.Chart(iris).mark_circle().encode(\n", " alt.X(alt.repeat(\"column\"), type=\"quantitative\"),\n", " alt.Y(alt.repeat(\"row\"), type=\"quantitative\"),\n", " color=\"species:N\",\n", " tooltip=column,\n", ").properties(width=200, height=200).repeat(\n", " row=column[:-1], column=column[:-1],\n", ").interactive()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:49.758162Z", "start_time": "2020-05-28T11:04:49.651178Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "source = data.movies.url\n", "\n", "heatmap = (\n", " alt.Chart(source)\n", " .mark_rect()\n", " .encode(\n", " alt.X(\"IMDB_Rating:Q\", bin=True),\n", " alt.Y(\"Rotten_Tomatoes_Rating:Q\", bin=True),\n", " alt.Color(\"count()\", scale=alt.Scale(scheme=\"greenblue\")),\n", " )\n", ")\n", "\n", "points = (\n", " alt.Chart(source)\n", " .mark_circle(color=\"black\", size=5,)\n", " .encode(x=\"IMDB_Rating:Q\", y=\"Rotten_Tomatoes_Rating:Q\",)\n", ")" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T11:04:49.758162Z", "start_time": "2020-05-28T11:04:49.651178Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "" ], "text/plain": [ "alt.VConcatChart(...)" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 支持&(垂直)、|(水平)、+(有序叠加)三种Infix notation(中缀表示法)实现图层排列\n", "heatmap & points" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2020-05-27T08:36:01.313626Z", "start_time": "2020-05-27T08:36:01.272752Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "" ], "text/plain": [ "alt.HConcatChart(...)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heatmap | points" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2020-05-27T08:36:08.707413Z", "start_time": "2020-05-27T08:36:08.659932Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "" ], "text/plain": [ "alt.LayerChart(...)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heatmap + points" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## [pyecharts](https://github.com/pyecharts/pyecharts)\n", "\n", "[ECharts](https://echarts.apache.org/zh/index.html)声明式Javascript可视化库,由百度前端2013年发布1.0版本,2018年进入Apache孵化器。pyecharts是Python对ECharts的简易封装,相比js语法并没有太多优化\n", "\n", "> 参考论文:[ECharts: A declarative framework for rapid construction of web-based visualization](https://www.sciencedirect.com/science/article/pii/S2468502X18300068)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-05-27T07:57:24.368268Z", "start_time": "2020-05-27T07:57:24.363742Z" } }, "outputs": [], "source": [ "from pyecharts import charts, options\n", "\n", "bar = (\n", " charts.Bar()\n", " .add_xaxis([\"衬衫\", \"毛衣\", \"领带\", \"裤子\", \"风衣\", \"高跟鞋\", \"袜子\"])\n", " .add_yaxis(\"商家A\", [114, 55, 27, 101, 125, 27, 105])\n", " .add_yaxis(\"商家B\", [57, 134, 137, 129, 145, 60, 49])\n", " .set_global_opts(title_opts=options.TitleOpts(title=\"某商场销售情况\"))\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2020-05-27T08:01:48.803412Z", "start_time": "2020-05-27T08:01:48.797901Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "
\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bar.render_notebook()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2020-05-27T08:08:59.890749Z", "start_time": "2020-05-27T08:08:59.885658Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "'/Users/toddtao/Documents/reader/data_science/data_science2020/3.数据可视化/render.html'" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bar.render()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:44:22.613883Z", "start_time": "2020-06-05T13:44:22.542435Z" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import IFrame\n", "\n", "IFrame(src='3.data-viz/render.html', width=700, height=600)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T15:42:55.004673Z", "start_time": "2020-06-05T15:42:55.002407Z" }, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# print(bar.render_embed())" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# webapp\n", "\n", "将可视化图转换为webapp发布,解决方案有[dash](https://github.com/plotly/dash)、[volia](https://github.com/voila-dashboards/voila)、[streamlit](https://github.com/streamlit/streamlit)、[Panel](https://github.com/holoviz/panel)、[Bokeh](https://github.com/bokeh/bokeh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [plotly](https://github.com/plotly)交互生态系统\n", "\n", "加拿大plotly公司开发的可视化工具,有企业版授权,dash解决方案,支持Python、R、JS、Julia、Scala。plotly + pandas = [cufflinks](https://github.com/santosjorge/cufflinks)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T15:43:07.889824Z", "start_time": "2020-06-05T15:43:07.887470Z" }, "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "import plotly.graph_objects as go\n", "\n", "fig = go.Figure()\n", "fig.add_trace(go.Scatter(y=np.random.rand(20)))\n", "fig.add_trace(go.Bar(y=np.random.rand(20)))\n", "fig.update_layout(title=\"plotly图形示例\")\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## ipywidgets交互控件" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:44:51.016331Z", "start_time": "2020-06-05T13:44:50.603754Z" }, "scrolled": false }, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.display import HTML\n", "from ipywidgets import interact, interact_manual\n", "import cufflinks as cf\n", "cf.go_offline(connected=True)\n", "cf.set_config_file(colorscale=\"plotly\", world_readable=True)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:45:29.131349Z", "start_time": "2020-06-05T13:45:29.011841Z" }, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5fc90718235a4336821a78b433ff221b", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(Dropdown(description='字段', options=('Netherlands', 'Pakistan', 'Belgium', 'Chile', 'Mexi…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@interact\n", "def show_articles_more_than(字段=df_covid.columns, 阈值=[50_000, 100_000, 200_000]):\n", " display(HTML(f\"

过滤部件:显示{字段} 超过 {阈值} 的行数

\"))\n", " display(df_covid.loc[df_covid[字段] > 阈值, df_covid.columns])" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:45:32.056009Z", "start_time": "2020-06-05T13:45:31.376726Z" }, "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4a534f63df004638822ff88c01291567", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(Dropdown(description='x', options=('Netherlands', 'Pakistan', 'Belgium', 'Chile', 'Mexic…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@interact\n", "def correlations(\n", " x=list(df_covid.select_dtypes(\"number\").columns),\n", " y=list(df_covid.select_dtypes(\"number\").columns[1:]),\n", "):\n", " print(f\"皮尔逊相关系数: {df_covid[x].corr(df_covid[y])}\")\n", " print(f\"描述性统计:\\n{df_covid[[x, y]].describe()}\")\n", " df_covid.iplot(\n", " kind=\"scatter\",\n", " x=x,\n", " y=y,\n", " mode=\"markers\",\n", " xTitle=x.title(),\n", " yTitle=y.title(),\n", " title=f\"{y.title()} vs {x.title()}\",\n", " )" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## [Voilà](https://github.com/voila-dashboards/voila)基于jupyter构建webapp\n", "\n", "将notebook直接转换成web页面,可以通过命令行`volia 3.数据可视化.ipynb --port 8880`运行notebook,也可以通过notebook插件运行\n", "\n", "> [papermill]()可以将直接运行notebook文件,支持自定义参数" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## [dash](https://github.com/plotly/dash)基于flask、reactjs构建webapp\n", "\n", "由于dash运行方式与flask相同,因此不能直接在notebook上渲染,可以通过plotly开发的[jupyter-dash](https://github.com/plotly/jupyter-dash)在notebook上渲染" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:12.151510Z", "start_time": "2020-06-05T13:46:11.780028Z" }, "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "from jupyter_dash import JupyterDash\n", "import dash\n", "import dash_core_components as dcc\n", "import dash_html_components as html\n", "from dash.dependencies import Input, Output\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:12.756267Z", "start_time": "2020-06-05T13:46:12.686506Z" }, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "(1704, 6)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv(\"3.data-viz/gapminderDataFiveYear.csv\")\n", "\n", "df.shape" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:13.560526Z", "start_time": "2020-06-05T13:46:13.497304Z" }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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countryyearpopcontinentlifeExpgdpPercap
0Afghanistan19528425333.0Asia28.801779.445314
1Afghanistan19579240934.0Asia30.332820.853030
2Afghanistan196210267083.0Asia31.997853.100710
3Afghanistan196711537966.0Asia34.020836.197138
4Afghanistan197213079460.0Asia36.088739.981106
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" ], "text/plain": [ " country year pop continent lifeExp gdpPercap\n", "0 Afghanistan 1952 8425333.0 Asia 28.801 779.445314\n", "1 Afghanistan 1957 9240934.0 Asia 30.332 820.853030\n", "2 Afghanistan 1962 10267083.0 Asia 31.997 853.100710\n", "3 Afghanistan 1967 11537966.0 Asia 34.020 836.197138\n", "4 Afghanistan 1972 13079460.0 Asia 36.088 739.981106" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:13.933324Z", "start_time": "2020-06-05T13:46:13.863436Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# app = dash.Dash(__name__)\n", "app = JupyterDash(__name__)\n", "app.layout = html.Div(\n", " [\n", " dcc.Graph(id=\"graph-with-slider\"),\n", " dcc.Slider(\n", " id=\"year-slider\",\n", " min=df[\"year\"].min(),\n", " max=df[\"year\"].max(),\n", " value=df[\"year\"].min(),\n", " marks={str(year): str(year) for year in df[\"year\"].unique()},\n", " step=None,\n", " ),\n", " ]\n", ")" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:15.929241Z", "start_time": "2020-06-05T13:46:15.839223Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "@app.callback(Output(\"graph-with-slider\", \"figure\"), [Input(\"year-slider\", \"value\")])\n", "def update_figure(selected_year):\n", " filtered_df = df[df.year == selected_year]\n", " traces = []\n", " for i in filtered_df.continent.unique():\n", " df_by_continent = filtered_df[filtered_df[\"continent\"] == i]\n", " traces.append(\n", " dict(\n", " x=df_by_continent[\"gdpPercap\"],\n", " y=df_by_continent[\"lifeExp\"],\n", " text=df_by_continent[\"country\"],\n", " mode=\"markers\",\n", " opacity=0.7,\n", " marker={\"size\": 15, \"line\": {\"width\": 0.5, \"color\": \"white\"}},\n", " name=i,\n", " )\n", " )\n", "\n", " return {\n", " \"data\": traces,\n", " \"layout\": dict(\n", " xaxis={\"type\": \"log\", \"title\": \"国家(地区)GDP\", \"range\": [2.3, 4.8]},\n", " yaxis={\"title\": \"人均预期寿命\", \"range\": [20, 90]},\n", " margin={\"l\": 40, \"b\": 40, \"t\": 10, \"r\": 10},\n", " legend={\"x\": 0, \"y\": 1},\n", " hovermode=\"closest\",\n", " transition={\"duration\": 500},\n", " ),\n", " }\n", "\n", "\n", "# if __name__ == \"__main__\":\n", "# app.run_server(host=\"0.0.0.0\", debug=True)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:17.383357Z", "start_time": "2020-06-05T13:46:17.040658Z" }, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dash app running on http://0.0.0.0:8050/\n" ] } ], "source": [ "app.run_server(host=\"0.0.0.0\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T14:32:32.022562Z", "start_time": "2020-06-05T14:32:32.020220Z" }, "scrolled": false }, "outputs": [], "source": [ "app.run_server(host=\"0.0.0.0\", mode=\"inline\", height=500)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:25.846114Z", "start_time": "2020-06-05T13:46:25.723846Z" }, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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Country NameIndicator NameYearValue
0Arab WorldAgriculture, value added (% of GDP)1962NaN
1Arab WorldCO2 emissions (metric tons per capita)19620.760996
2Arab WorldDomestic credit provided by financial sector (...196218.168690
3Arab WorldElectric power consumption (kWh per capita)1962NaN
4Arab WorldEnergy use (kg of oil equivalent per capita)1962NaN
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" ], "text/plain": [ " Country Name Indicator Name Year \\\n", "0 Arab World Agriculture, value added (% of GDP) 1962 \n", "1 Arab World CO2 emissions (metric tons per capita) 1962 \n", "2 Arab World Domestic credit provided by financial sector (... 1962 \n", "3 Arab World Electric power consumption (kWh per capita) 1962 \n", "4 Arab World Energy use (kg of oil equivalent per capita) 1962 \n", "\n", " Value \n", "0 NaN \n", "1 0.760996 \n", "2 18.168690 \n", "3 NaN \n", "4 NaN " ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv(\"3.data-viz/country.csv\")\n", "available_indicators = df[\"Indicator Name\"].unique()\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:27.866635Z", "start_time": "2020-06-05T13:46:27.766805Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "app = JupyterDash(__name__)\n", "# server = app.server\n", "app.layout = html.Div([\n", " html.Div([\n", " html.Div([\n", " dcc.Dropdown(\n", " id='crossfilter-xaxis-column',\n", " options=[{'label': i, 'value': i} for i in available_indicators],\n", " value='Fertility rate, total (births per woman)'\n", " ),\n", " dcc.RadioItems(\n", " id='crossfilter-xaxis-type',\n", " options=[{'label': i, 'value': i} for i in ['Linear', 'Log']],\n", " value='Linear',\n", " labelStyle={'display': 'inline-block'}\n", " )\n", " ],\n", " style={'width': '49%', 'display': 'inline-block'}),\n", " html.Div([\n", " dcc.Dropdown(\n", " id='crossfilter-yaxis-column',\n", " options=[{'label': i, 'value': i} for i in available_indicators],\n", " value='Life expectancy at birth, total (years)'\n", " ),\n", " dcc.RadioItems(\n", " id='crossfilter-yaxis-type',\n", " options=[{'label': i, 'value': i} for i in ['Linear', 'Log']],\n", " value='Linear',\n", " labelStyle={'display': 'inline-block'}\n", " )\n", " ], style={'width': '49%', 'float': 'right', 'display': 'inline-block'})\n", " ], style={\n", " 'borderBottom': 'thin lightgrey solid',\n", " 'backgroundColor': 'rgb(250, 250, 250)',\n", " 'padding': '10px 5px'\n", " }),\n", "\n", " html.Div([\n", " dcc.Graph(\n", " id='crossfilter-indicator-scatter',\n", " hoverData={'points': [{'customdata': 'Japan'}]}\n", " )\n", " ], style={'width': '49%', 'display': 'inline-block', 'padding': '0 20'}),\n", " html.Div([\n", " dcc.Graph(id='x-time-series'),\n", " dcc.Graph(id='y-time-series'),\n", " ], style={'display': 'inline-block', 'width': '49%'}),\n", "\n", " html.Div(dcc.Slider(\n", " id='crossfilter-year--slider',\n", " min=df['Year'].min(),\n", " max=df['Year'].max(),\n", " value=df['Year'].max(),\n", " marks={str(year): str(year) for year in df['Year'].unique()},\n", " step=None\n", " ), style={'width': '49%', 'padding': '0px 20px 20px 20px'})\n", "])" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:29.293447Z", "start_time": "2020-06-05T13:46:29.229470Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "@app.callback(\n", " dash.dependencies.Output('crossfilter-indicator-scatter', 'figure'),\n", " [dash.dependencies.Input('crossfilter-xaxis-column', 'value'),\n", " dash.dependencies.Input('crossfilter-yaxis-column', 'value'),\n", " dash.dependencies.Input('crossfilter-xaxis-type', 'value'),\n", " dash.dependencies.Input('crossfilter-yaxis-type', 'value'),\n", " dash.dependencies.Input('crossfilter-year--slider', 'value')])\n", "def update_graph(xaxis_column_name, yaxis_column_name,\n", " xaxis_type, yaxis_type,\n", " year_value):\n", " dff = df[df['Year'] == year_value]\n", "\n", " return {\n", " 'data': [dict(\n", " x=dff[dff['Indicator Name'] == xaxis_column_name]['Value'],\n", " y=dff[dff['Indicator Name'] == yaxis_column_name]['Value'],\n", " text=dff[dff['Indicator Name'] == yaxis_column_name]['Country Name'],\n", " customdata=dff[dff['Indicator Name'] == yaxis_column_name]['Country Name'],\n", " mode='markers',\n", " marker={\n", " 'size': 25,\n", " 'opacity': 0.7,\n", " 'color': 'orange',\n", " 'line': {'width': 2, 'color': 'purple'}\n", " }\n", " )],\n", " 'layout': dict(\n", " xaxis={\n", " 'title': xaxis_column_name,\n", " 'type': 'linear' if xaxis_type == 'Linear' else 'log'\n", " },\n", " yaxis={\n", " 'title': yaxis_column_name,\n", " 'type': 'linear' if yaxis_type == 'Linear' else 'log'\n", " },\n", " margin={'l': 40, 'b': 30, 't': 10, 'r': 0},\n", " height=450,\n", " hovermode='closest'\n", " )\n", " }" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:31.203166Z", "start_time": "2020-06-05T13:46:31.143771Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "def create_time_series(dff, axis_type, title):\n", " return {\n", " 'data': [dict(\n", " x=dff['Year'],\n", " y=dff['Value'],\n", " mode='lines+markers'\n", " )],\n", " 'layout': {\n", " 'height': 225,\n", " 'margin': {'l': 20, 'b': 30, 'r': 10, 't': 10},\n", " 'annotations': [{\n", " 'x': 0, 'y': 0.85, 'xanchor': 'left', 'yanchor': 'bottom',\n", " 'xref': 'paper', 'yref': 'paper', 'showarrow': False,\n", " 'align': 'left', 'bgcolor': 'rgba(255, 255, 255, 0.5)',\n", " 'text': title\n", " }],\n", " 'yaxis': {'type': 'linear' if axis_type == 'Linear' else 'log'},\n", " 'xaxis': {'showgrid': False}\n", " }\n", " }" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:31.856766Z", "start_time": "2020-06-05T13:46:31.797723Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "@app.callback(\n", " dash.dependencies.Output('x-time-series', 'figure'),\n", " [dash.dependencies.Input('crossfilter-indicator-scatter', 'hoverData'),\n", " dash.dependencies.Input('crossfilter-xaxis-column', 'value'),\n", " dash.dependencies.Input('crossfilter-xaxis-type', 'value')])\n", "def update_y_timeseries(hoverData, xaxis_column_name, axis_type):\n", " country_name = hoverData['points'][0]['customdata']\n", " dff = df[df['Country Name'] == country_name]\n", " dff = dff[dff['Indicator Name'] == xaxis_column_name]\n", " title = '{}
{}'.format(country_name, xaxis_column_name)\n", " return create_time_series(dff, axis_type, title)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:32.898230Z", "start_time": "2020-06-05T13:46:32.803747Z" } }, "outputs": [], "source": [ "@app.callback(\n", " dash.dependencies.Output('y-time-series', 'figure'),\n", " [dash.dependencies.Input('crossfilter-indicator-scatter', 'hoverData'),\n", " dash.dependencies.Input('crossfilter-yaxis-column', 'value'),\n", " dash.dependencies.Input('crossfilter-yaxis-type', 'value')])\n", "def update_x_timeseries(hoverData, yaxis_column_name, axis_type):\n", " dff = df[df['Country Name'] == hoverData['points'][0]['customdata']]\n", " dff = dff[dff['Indicator Name'] == yaxis_column_name]\n", " return create_time_series(dff, axis_type, yaxis_column_name)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T13:46:33.632862Z", "start_time": "2020-06-05T13:46:33.500058Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dash app running on http://0.0.0.0:8050/\n" ] } ], "source": [ "app.run_server(host=\"0.0.0.0\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-06-05T14:32:23.476078Z", "start_time": "2020-06-05T14:32:23.473842Z" }, "scrolled": false }, "outputs": [], "source": [ "app.run_server(host=\"0.0.0.0\", mode=\"inline\", width=1400, height=700)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 网络图\n", "\n", "1. Networkx:复杂网络绘制与图算法工具\n", "2. daft:matplotlib基础上构建的概率图模型\n", "\n", "## [Networkx](https://github.com/networkx/networkx)网络图\n", "\n", "复杂网络绘制与图算法工具,可以与[graphviz](https://www.graphviz.org/)结合使用,类似工具推荐[Gephi](https://gephi.org/)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T07:45:11.056594Z", "start_time": "2020-05-28T07:45:10.813930Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "import networkx as nx\n", "\n", "G = nx.Graph()\n", "G.add_edge(\"A\", \"B\", weight=4)\n", "G.add_edge(\"B\", \"D\", weight=2)\n", "G.add_edge(\"A\", \"C\", weight=3)\n", "G.add_edge(\"C\", \"D\", weight=4)\n", "\n", "pos = nx.spring_layout(G)\n", "nx.draw_networkx_edge_labels(G, pos, edge_labels=nx.get_edge_attributes(G, \"weight\"))\n", "nx.draw(G, pos, with_labels=True, node_size=1000)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T07:45:12.543854Z", "start_time": "2020-05-28T07:45:12.493786Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "['A', 'B', 'D']" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.shortest_path(G, \"A\", \"D\", weight=\"weight\")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T07:45:13.419122Z", "start_time": "2020-05-28T07:45:13.269048Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "import pydot\n", "from networkx.drawing.nx_pydot import graphviz_layout\n", "\n", "G = nx.balanced_tree(2, 5)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T07:45:14.986508Z", "start_time": "2020-05-28T07:45:14.215098Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = graphviz_layout(G)\n", "nx.draw(G, pos, node_size=20, alpha=0.5, node_color=\"blue\", with_labels=False)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T07:45:15.673084Z", "start_time": "2020-05-28T07:45:14.989111Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = graphviz_layout(G, prog=\"dot\")\n", "nx.draw(G, pos, node_size=20, alpha=0.5, node_color=\"blue\", with_labels=False)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-05-28T07:45:16.619200Z", "start_time": "2020-05-28T07:45:15.676196Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 8))\n", "pos = graphviz_layout(G, prog=\"twopi\")\n", "nx.draw(G, pos, node_size=20, alpha=0.5, node_color=\"blue\", with_labels=False)\n", "plt.axis(\"equal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "scikit-learn与graphviz结合,可以让[决策树实现可视化](https://scikit-learn.org/stable/modules/tree.html)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-05-29T02:41:18.045431Z", "start_time": "2020-05-29T02:41:17.215462Z" } }, "outputs": [], "source": [ "from sklearn.datasets import load_iris\n", "from sklearn import tree\n", "\n", "iris = load_iris()\n", "clf = tree.DecisionTreeClassifier().fit(iris.data, iris.target)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "gini不纯度(gini impurity)是CART (classification and regression tree) 决策树进行分裂的衡量指标之一,表示按照当前分裂规则随机抽取样本是错误分类的频率。\n", "\n", "鸢尾花种类是$J=3$,那么第$i$种花在数据集中的占比(概率、频率)用$p_i$表示,则计算公式为:\n", "\n", "$${I} _{G}(p)=\\sum _{i=1}^{3}p_{i}\\sum _{k\\neq i}p_{k}=\\sum _{i=1}^{3}p_{i}(1-p_{i})=\\sum _{i=1}^{3}(p_{i}-{p_{i}}^{2})=\\sum _{i=1}^{3}p_{i}-\\sum _{i=1}^{3}{p_{i}}^{2}=1-\\sum _{i=1}^{3}{p_{i}}^{2}$$\n", "\n", "如果gini不纯度为0,则表示每个叶子节点的所有鸢尾花都有一个明确的分类" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-05-29T02:41:36.388035Z", "start_time": "2020-05-29T02:41:35.744059Z" }, "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.style.use(\"classic\")\n", "plt.figure(figsize=(15, 15))\n", "tree.plot_tree(\n", " clf, feature_names=iris.feature_names, class_names=iris.target_names, filled=True,\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## [daft](https://docs.daft-pgm.org/en/latest/)贝叶斯网络\n", "\n", "Daft是在matplotlib基础上构建的概率图模型(probabilistic graphical models),贝叶斯网络之父朱迪亚·珀尔(Judea Pearl,2011年图灵奖得主)2018年出版了《The book of why(为什么)》介绍贝叶斯网络的因果推断。" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2020-05-27T11:37:41.715188Z", "start_time": "2020-05-27T11:37:35.820642Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "parsing /Users/toddtao/opt/anaconda3/lib/python3.7/site-packages/daft.py...\r\n" ] } ], "source": [ "!pyreverse -o png -p daft /Users/toddtao/opt/anaconda3/lib/python3.7/site-packages/daft.py" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](3.data-viz/classes_daft.png)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2020-05-27T11:53:48.467952Z", "start_time": "2020-05-27T11:53:48.145539Z" }, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import daft\n", "\n", "p_color = {\"ec\": \"#46a546\"}\n", "s_color = {\"ec\": \"#f89406\"}\n", "\n", "pgm = daft.PGM([5.6, 1.4], origin=[0.75, 0.3])\n", "\n", "pgm.add_plate([1.4, 0.4, 3.1, 1.2], r\"$D$\")\n", "pgm.add_plate([2.5, 0.5, 1.95, 1], r\"$N_d$\")\n", "pgm.add_plate([4.6, 0.5, 1, 1], r\"$K$\", position=\"bottom right\")\n", "\n", "pgm.add_node(\"alpha\", r\"$\\alpha$\", 1, 1, fixed=True)\n", "pgm.add_node(\"theta\", r\"$\\theta_d$\", 2, 1, plot_params=p_color)\n", "pgm.add_node(\"z\", r\"$z_{d,n}$\", 3, 1)\n", "pgm.add_node(\"w\", r\"$w_{d,n}$\", 4, 1, observed=True)\n", "\n", "pgm.add_node(\"beta\", r\"$\\beta_{k}$\", 5.1, 1, plot_params=s_color)\n", "pgm.add_node(\"eta\", r\"$\\eta$\", 6.1, 1, fixed=True)\n", "\n", "pgm.add_edge(\"alpha\", \"theta\")\n", "pgm.add_edge(\"theta\", \"z\")\n", "pgm.add_edge(\"z\", \"w\")\n", "\n", "pgm.add_edge(\"eta\", \"beta\")\n", "pgm.add_edge(\"beta\", \"w\")\n", "\n", "pgm.render()\n", "pgm.savefig(\"lda.png\", dpi=150);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "![](3.data-viz/lda.png)" ] } ], "metadata": { "celltoolbar": "幻灯片", "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": "3.7.6" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "336px" }, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }