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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": 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fOMiFJEmS1MP5urQUK9qDleS4JDcmuSnJa1by2itjctAFWOUmB12AVWxy0AVY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lFyOIDKSCgEsf7saQf48Anrm/lybIgFJpgqeeeoq1a9eGjmJcEhNGQtRj386mxybIaSQsKOV7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\nr776KqeccgrHHntsaO7/7FCtGCSewToEErdPh0YGgtjQrFh+fj5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VZ8+eJScnx+M1wsPD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\nYBD/DzxJsLYerxgFAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112994950>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#!/usr/bin/env python\n",
"# -*- coding: utf-8 -*-\n",
"\n",
"import numpy as np\n",
"np.set_printoptions(threshold=np.nan)\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"import matplotlib.font_manager as fm\n",
"prop = fm.FontProperties(fname='/Users/user/fonts/LiHei Pro.ttf')\n",
"\n",
"fig = plt.figure(figsize=(12,15))\n",
"row = 7; col = 2\n",
"\n",
"size = pow(10, 4); bins = 100\n",
"# Binomial distribution\n",
"ax01 = fig.add_subplot(row, col, 1)\n",
"ax01.hist(np.random.binomial(n=10, p=0.2, size=size), bins=bins)\n",
"ax01.set_title('Binomial distribution', fontproperties=prop)\n",
"\n",
"# Poisson distribution\n",
"ax02 = fig.add_subplot(row, col, 2)\n",
"ax02.hist(np.random.poisson(lam=2, size=size), bins=bins)\n",
"ax02.set_title('Poisson distribution', fontproperties=prop)\n",
"\n",
"# Standard normal distribution\n",
"ax03 = fig.add_subplot(row, col, 3)\n",
"ax03.hist(np.random.randn(size), bins=bins)\n",
"ax03.set_title('Standard normal distribution', fontproperties=prop)\n",
"\n",
"# Normal distribution\n",
"ax04 = fig.add_subplot(row, col, 4, sharex=ax03)\n",
"ax04.hist(np.random.normal(loc=2, scale=3, size=size), bins=bins)\n",
"ax04.set_title('Normal distribution', fontproperties=prop)\n",
"\n",
"# Uniform distribution\n",
"ax05 = fig.add_subplot(row, col, 5)\n",
"ax05.hist(np.random.rand(size), bins=bins)\n",
"ax05.set_title('Uniform distribution', fontproperties=prop)\n",
"\n",
"# Exponential distribution\n",
"ax06 = fig.add_subplot(row, col, 6)\n",
"ax06.hist(np.random.exponential(scale=3, size=size), bins=bins)\n",
"ax06.set_title('Exponential distribution', fontproperties=prop)\n",
"\n",
"# Beta distribution\n",
"ax07 = fig.add_subplot(row, col, 7)\n",
"ax07.hist(np.random.beta(a=2, b=3, size=size), bins=bins)\n",
"ax07.set_title('Beta distribution', fontproperties=prop)\n",
"\n",
"# Gamma distribution\n",
"ax08 = fig.add_subplot(row, col, 8)\n",
"ax08.hist(np.random.gamma(shape=2, scale=3, size=size), bins=bins)\n",
"ax08.set_title('Gamma distribution', fontproperties=prop)\n",
"\n",
"# Logistic distribution\n",
"ax09 = fig.add_subplot(row, col, 9)\n",
"ax09.hist(np.random.logistic(loc=2, scale=3, size=size), bins=bins)\n",
"ax09.set_title('Logistic distribution', fontproperties=prop)\n",
"\n",
"# Dirichlet distribution\n",
"ax10 = fig.add_subplot(row, col, 10)\n",
"ax10.hist(np.random.dirichlet(alpha=(2, 3, 4), size=size), bins=bins)\n",
"ax10.set_title('Dirichlet distribution', fontproperties=prop)\n",
"\n",
"# Bivariate normal distribution uncorrelated\n",
"ax11 = fig.add_subplot(row, col, 11, projection='3d')\n",
"mean = [0,0]; cov = [[1,0],[0,1]];\n",
"x,y = np.random.multivariate_normal(mean,cov,size=size).T\n",
"hist, xedges, yedges = np.histogram2d(x, y, bins=bins)\n",
"elements = (len(xedges) - 1) * (len(yedges) - 1)\n",
"xpos, ypos = np.meshgrid(xedges[:-1], yedges[:-1])\n",
"xpos = xpos.flatten()\n",
"ypos = ypos.flatten()\n",
"zpos = np.zeros(elements)\n",
"dx = 0.5 * np.ones_like(zpos)\n",
"dy = dx.copy()\n",
"dz = hist.flatten()\n",
"ax11.bar3d(xpos, ypos, zpos, dx, dy, dz, color='b', alpha=1.0)\n",
"ax11.set_title('Bivariate normal distribution uncorrelated', fontproperties=prop)\n",
"\n",
"# Bivariate normal distribution correlation\n",
"ax12 = fig.add_subplot(row, col, 12, projection='3d', sharex=ax11,sharey=ax11, sharez=ax11)\n",
"mean = [0,0]; cov = [[1,0.5],[0.5,1]];\n",
"x,y = np.random.multivariate_normal(mean,cov,size=size).T\n",
"hist, xedges, yedges = np.histogram2d(x, y, bins=bins)\n",
"elements = (len(xedges) - 1) * (len(yedges) - 1)\n",
"xpos, ypos = np.meshgrid(xedges[:-1], yedges[:-1])\n",
"xpos = xpos.flatten()\n",
"ypos = ypos.flatten()\n",
"zpos = np.zeros(elements)\n",
"dx = 0.5 * np.ones_like(zpos)\n",
"dy = dx.copy()\n",
"dz = hist.flatten()\n",
"ax12.bar3d(xpos, ypos, zpos, dx, dy, dz, color='b', alpha=1.0)\n",
"ax12.set_title('Bivariate normal distribution correlation', fontproperties=prop)\n",
"\n",
"# Draw\n",
"fig.tight_layout() \n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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23x66doWXXlLyJyKST2PHwvjxcMgh+WtDI4AislRz58Lf/w4vvxyKOnfqFDsiEZHSt6T0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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1130317d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"fig = plt.figure(figsize=(9,12))\n",
"row = 3; col = 2\n",
"\n",
"# 1-order function\n",
"func = lambda x, a, b : a*x + b\n",
"ax01 = fig.add_subplot(row, col, 1)\n",
"x = np.linspace(-3, 3, 100)\n",
"a = 10; b = 5\n",
"ax01.plot(\n",
" x, \n",
" func(x, a, b)\n",
")\n",
"ax01.set_title('$f(x) = 10x + 5$')\n",
"\n",
"# 2 quadratic function \n",
"func = lambda x, a, b, c : a*pow(x,2) + b*x + c\n",
"ax02 = fig.add_subplot(row, col, 2)\n",
"a = 1; b = 1; c = 1\n",
"ax02.plot(\n",
" x,\n",
" func(x, a, b, c)\n",
")\n",
"ax02.set_title('$f(x) = x^2 + x + 1$')\n",
"\n",
"# 3-order function \n",
"func = lambda x, a, b, c, d : a*pow(x,3) + b*pow(x,2) + c*x + d\n",
"ax03 = fig.add_subplot(row, col, 3)\n",
"a = 1; b = 1; c = 1; d = 1\n",
"ax03.plot(\n",
" x,\n",
" func(x, a, b, c, d)\n",
")\n",
"ax03.set_title('$f(x) = x^3 + x^2 + x + 1$')\n",
"\n",
"# Exponential \n",
"func = lambda x : np.exp(x)\n",
"ax04 = fig.add_subplot(row, col, 4)\n",
"ax04.plot(\n",
" x,\n",
" func(x)\n",
")\n",
"ax04.set_title('$f(x) = exp(x)$')\n",
"\n",
"# Logarithmic function \n",
"old = np.seterr(invalid='ignore')\n",
"func = lambda x : np.log(x)\n",
"ax05 = fig.add_subplot(row, col, 5)\n",
"ax05.plot(\n",
" x,\n",
" func(x)\n",
")\n",
"ax05.set_title('$f(x) = log(x)$')\n",
"\n",
"# Draw\n",
"fig.tight_layout() \n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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