{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 一、优化类\n",
    "\n",
    "- 线性规划(运输问题、指派问题、对偶理论、灵敏度分析)\n",
    "- 整数规划(分支定界、枚举试探、蒙特卡洛)\n",
    "- 非线性规划(约束极值、无约束极值)\n",
    "- 目标规划(单目标、多目标)\n",
    "- 动态规划(动态、静态、线性动规、区域动规、树形动规、背包动规)\n",
    "- 动态优化(变分法)\n",
    "- 现代优化算法(贪婪算法、禁忌搜索、模拟退火、遗传算法、人工神经网络、蚁群算法、粒子群算法、人群搜索算法、人工免疫算法、集成算法、TSP问题、QAP问题、JSP问题)\n",
    "- 模糊逼近算法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 二、图论\n",
    "\n",
    "- 最小生成树(prim算法、Kruskal算法)\n",
    "- 最短路径(Dijkstra算法、Floyd-Warshall算法、Bellman-Ford算法、SPFA算法)\n",
    "- 匹配问题(匈牙利算法)\n",
    "- Euler图和Hamilton图\n",
    "- 网络流(最大流问题、最小费用最大流问题)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 三&四、预测类&统计\n",
    "\n",
    "- GM(1,1)灰度预测\n",
    "- 时间序列模型(确定性时间序列、平稳时间序列、移动平均、指数平滑、Winter方法、ARIMA模型)\n",
    "- 回归(一元线性回归、多元线性回归MLR、非线性回归、多元逐步回归MSR、主元回归法PCR、部分最小二乘回归法PLSR)(重点)\n",
    "- Bayes统计预测\n",
    "- 分类模型(逻辑回归、决策树、神经网络)\n",
    "- 判别分析模型(距离判别、Fisher判别、Bayes判别)\n",
    "- 参数估计(点估计、极大似然估计、Bayes估计)\n",
    "- 假设检验(U-检验、T-检验、卡方检验、F-检验、最优性检验、分布拟合检验)\n",
    "- 方差分析(单因素、多因素、相关性检验)\n",
    "- 经验分布函数\n",
    "- 正交试验\n",
    "- 模糊数学(模糊分类、模糊决策)\n",
    "- 随机森林"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 五、数据处理\n",
    "\n",
    "- 图像处理\n",
    "- 插值与拟合(Lagrange插值、Newton插值、Hermite插值、三次样条插值、线性最小二乘)\n",
    "- 搜索算法(回溯、分治、排序、网格、穷举)\n",
    "- 数值分析方法(方程组求解、矩阵运算、数值积分、逐次逼近法、牛顿迭代法)\n",
    "- 模糊逼近\n",
    "- 动态加权\n",
    "- ES\n",
    "- DWRR\n",
    "- 序列分析\n",
    "- 主成分分析\n",
    "- 因子分析\n",
    "- 聚类分析\n",
    "- 灰色关联分析法\n",
    "- 数据包络分析法(DEA)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 六、评价类\n",
    "\n",
    "- 层次分析法(AHP)\n",
    "- 模糊综合评价\n",
    "- 基于层次分析的模糊综合评价\n",
    "- 动态加权综合评价\n",
    "- TEIZ理论"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 七、图形类(重点)\n",
    "- 算法流程图\n",
    "- 条形图\n",
    "- 直方图\n",
    "- 散点图\n",
    "- 饼图\n",
    "- 折线图\n",
    "- 茎叶图\n",
    "- 箱线图\n",
    "- P_P图\n",
    "- Q_Q图\n",
    "- Venn图\n",
    "- 矢量图\n",
    "- 误差分析图\n",
    "- 概率分布图\n",
    "- 5w1h分析法\n",
    "- 漏斗模型\n",
    "- 金字塔模型\n",
    "- 鱼骨分析法\n",
    "- 等高线曲面图\n",
    "- 思维导图"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 八、模拟与仿真\n",
    "\n",
    "- 蒙特卡洛\n",
    "- 元胞自动机"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 九、方程(进阶)\n",
    "\n",
    "- 微分方程(Malthus人口模型、Logistic模型、战争模型)\n",
    "- 稳定状态模型(Volterra 模型)\n",
    "- 常微分方程的解法(离散化、Euler方法、Runge—Kutta方法、线性多步法)\n",
    "- 差分方程(蛛网模型、遗传模型)\n",
    "- 偏微分方程数值解(定解问题、差分解法、有限元分析)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 十、数据建模&机器学习方法\n",
    "(注:此部分与数据处理算法有大量重叠)\n",
    "\n",
    "- 云模型\n",
    "- Logistic回归\n",
    "- 主成分分析\n",
    "- 支持向量机(SVM)\n",
    "- K-均值(K-Means)\n",
    "- 近邻法\n",
    "- 朴素Bayes判别法\n",
    "\n",
    "- 决策树方法\n",
    "- 人工神经网络(BP、RBF、Hopfield、SOM)\n",
    "- 正则化方法\n",
    "- kernel算法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 十一、其他\n",
    "\n",
    "- 排队论\n",
    "- 博弈论\n",
    "- 贮存伦\n",
    "- 概率模型\n",
    "- 马氏链模型\n",
    "- 决策论\n",
    " (单目标决策:不确定型决策、风险决策、效用函数、决策树、灵敏度分析)\n",
    " (多目标决策:分层序列法、多目标线性规划、层次分析法)\n",
    "- 系统工程建模(ISM解释模型、网络计划模型、系统评价、决策分析)\n",
    "- 交叉验证方法(Holdout 验证、K-fold cross-validation、留一验证)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 附:简单建模方法\n",
    "\n",
    "- 比例关系\n",
    "- 函数关系\n",
    "- 几何模拟\n",
    "- 类比分析\n",
    "- 物理规律建模"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "11.0\n"
     ]
    }
   ],
   "source": [
    "# 求导\n",
    "from __future__ import print_function\n",
    "from __future__ import division\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import scipy.misc\n",
    " \n",
    "def f(x): \n",
    "    return 2*x*x + 3*x + 1\n",
    "print(sp.misc.derivative(f, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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27RpjY2McOnSIJ554YkNT2NcXRR/XvRJYanNYe5D6+71SchG6MestySzwQ6JT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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fddf5079ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 马鞍面\n",
    "from __future__ import print_function\n",
    "from __future__ import division\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import matplotlib.pylab as plt\n",
    "from pylab import *\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    " \n",
    "fig = figure()\n",
    "ax = Axes3D(fig)\n",
    "X = np.linspace(-10, 10, 30)\n",
    "Y = np.linspace(-10, 10, 30)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "Z = (X*X)/3 - (Y*Y)/3\n",
    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=\"hot\")\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2.666666666666667, 2.960594732333751e-14)\n",
      "(2.6666666666666661, None)\n"
     ]
    }
   ],
   "source": [
    "# 求不定积分\n",
    "from __future__ import print_function\n",
    "from __future__ import division\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import scipy.integrate\n",
    " \n",
    "f = lambda x : x**2\n",
    "print(sp.integrate.quad(f, 0, 2))\n",
    "print(sp.integrate.fixed_quad(f, 0, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.  -0.6 -2.5]\n",
      "[0.0, 0.0, 0.0]\n"
     ]
    }
   ],
   "source": [
    "# 求解非线性方程组\n",
    "from __future__ import print_function\n",
    "from __future__ import division\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import scipy.optimize\n",
    " \n",
    "def f(x):\n",
    "    return [5*x[1] + 3, 4*x[0]*x[0], x[1]*x[2] - 1.5]\n",
    "ans = sp.optimize.fsolve(f, [0, 0, 0])\n",
    "print(ans)\n",
    "print(f(ans))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-9.28  5.16  0.76]\n"
     ]
    }
   ],
   "source": [
    "# 求解线性方程组\n",
    "from __future__ import print_function\n",
    "from __future__ import division\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import matplotlib.pylab as plt\n",
    "import scipy.linalg\n",
    " \n",
    "a = np.array([[1, 3, 5], [2, 5, 1], [2, 3, 8]])\n",
    "b = np.array([10, 8, 3])\n",
    "print(sp.linalg.solve(a, b))\n",
    "# print(sp.linalg.inv(a).dot(b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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atHrtkHKOTEfcHHgz1gnXYdPSTSYJACEENTU1qKurw+zZsyetMXSyiQfQ+91V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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fddefad8160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画三叶玫瑰线\n",
    "from __future__ import print_function\n",
    "from __future__ import division\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import matplotlib.pylab as plt\n",
    " \n",
    "t = np.linspace(0, 2*np.pi, 1000, endpoint=True)\n",
    "p = 3 * np.sin(3 * t)\n",
    "plt.subplot(111, polar=True)\n",
    "plt.plot(t, p, lw=3, color=\"g\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NlEWx8PsRFn9y2vxO85E+Rn8y7Skbp0CsgoPnDhqcFRXUtI3TEBgXqNv2SoOs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\niMiEWPyJiEzo/wHe54zNjdocAgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fddef9f9b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画星形线\n",
    "from __future__ import print_function\n",
    "from __future__ import division\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import matplotlib.pylab as plt\n",
    " \n",
    "t = np.linspace(-10, 10, 1024)\n",
    "X = np.cos(t) ** 3\n",
    "Y = np.sin(t) ** 3\n",
    "plt.plot(X, Y, label=\"My\", lw=3, color=\"g\")\n",
    "plt.xlim(X.min()*1.2, X.max()*1.2)\n",
    "plt.ylim(Y.min()*1.2, Y.max()*1.2)\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qqBK8z+XijCFDue/U0zvlEgSmbXH3mo95c8e3CMH34951BG5dZ1BKNg9OuZR+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\nR8YY00O5Ke5lwPsdHten1p12G1VtB5oB7wYuNsY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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fddef9b80f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画随机散点图\n",
    "from __future__ import print_function\n",
    "from __future__ import division\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import numpy.random\n",
    "import matplotlib.pylab as plt\n",
    " \n",
    "X = np.random.rand(50)\n",
    "Y = np.random.rand(50)\n",
    "colors = np.random.rand(50)\n",
    "area = np.pi * (15 * np.random.rand(50)) ** 2\n",
    " \n",
    "plt.scatter(X, Y, s=area, c=colors)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "time= 0.21249099999999999\n",
      "time= 0.4001999999999999\n",
      "time= 0.46425299999999936\n",
      "time= 0.5263220000000004\n",
      "time= 0.7834560000000002\n",
      "time= 0.908315\n"
     ]
    },
    {
     "data": {
      "image/png": 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awOqEtBzjf9HWWtAEc3O4S/MQc3PcqaYoNNQ2MPcP67psgq/RZ4QKCGLr0nGi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\nyzGGuXd/dNkSTrZHA+96XAHuvnIZNz9zEL9fwe9X6PMEuPO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5oogoSeTmGjltw9Lh72m0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EVOQznWtOnlLISXWlfOvJvXQNJuyGphduOM38rpzwJfMiaI3MZDcpZVxnANt5RnJmWdi5xjpD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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fddee0e98d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pylab as pl\n",
    "import time\n",
    "from matplotlib import cm\n",
    "\n",
    "def iter_point(c):\n",
    "    z = c\n",
    "    for i in range(1, 100): # 最多迭代100次\n",
    "        if abs(z)>2: break # 半径大于2则认为逃逸\n",
    "        z = z*z+c\n",
    "    return i # 返回迭代次数\n",
    "\n",
    "def draw_mandelbrot(cx, cy, d):\n",
    "    \"\"\"\n",
    " 绘制点(cx, cy)附近正负d的范围的Mandelbrot\n",
    " \"\"\"\n",
    "    x0, x1, y0, y1 = cx-d, cx+d, cy-d, cy+d \n",
    "    y, x = np.ogrid[y0:y1:200j, x0:x1:200j]\n",
    "    c = x + y*1j\n",
    "    start = time.clock()\n",
    "    mandelbrot = np.frompyfunc(iter_point,1,1)(c).astype(np.float)\n",
    "    print(\"time=\",time.clock() - start)\n",
    "    pl.imshow(mandelbrot, cmap=cm.Blues_r, extent=[x0,x1,y0,y1])\n",
    "    pl.gca().set_axis_off()\n",
    "\n",
    "x,y = 0.27322626, 0.595153338\n",
    "\n",
    "pl.subplot(231)\n",
    "draw_mandelbrot(-0.5,0,1.5)\n",
    "for i in range(2,7):    \n",
    "    pl.subplot(230+i)\n",
    "    draw_mandelbrot(x, y, 0.2**(i-1))\n",
    "pl.subplots_adjust(0.02, 0, 0.98, 1, 0.02, 0)\n",
    "pl.show()"
   ]
  }
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