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datasets.ipynb 375 kB

7 years ago
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  1. {
  2. "cells": [
  3. {
  4. "cell_type": "markdown",
  5. "metadata": {},
  6. "source": [
  7. "## Datasets\n",
  8. "\n",
  9. "机器学习是数据驱动的方法,因此数据在算法的编写、测试环节起到非常重要的作用。下面列出了一些比较常用的数据,可以比较方便的来测试无监督、监督算法等。"
  10. ]
  11. },
  12. {
  13. "cell_type": "markdown",
  14. "metadata": {},
  15. "source": [
  16. "## Moons\n"
  17. ]
  18. },
  19. {
  20. "cell_type": "code",
  21. "execution_count": 3,
  22. "metadata": {},
  23. "outputs": [
  24. {
  25. "data": {
  26. 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\n",
  27. "text/plain": [
  28. "<Figure size 432x288 with 1 Axes>"
  29. ]
  30. },
  31. "metadata": {
  32. "needs_background": "light"
  33. },
  34. "output_type": "display_data"
  35. }
  36. ],
  37. "source": [
  38. "% matplotlib inline\n",
  39. "import numpy as np\n",
  40. "from sklearn import datasets\n",
  41. "import matplotlib.pyplot as plt\n",
  42. "\n",
  43. "# generate sample data\n",
  44. "np.random.seed(0)\n",
  45. "X, y = datasets.make_moons(200, noise=0.20)\n",
  46. "\n",
  47. "# plot data\n",
  48. "plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Spectral)\n",
  49. "plt.show()"
  50. ]
  51. },
  52. {
  53. "cell_type": "markdown",
  54. "metadata": {},
  55. "source": [
  56. "## XOR"
  57. ]
  58. },
  59. {
  60. "cell_type": "code",
  61. "execution_count": 5,
  62. "metadata": {},
  63. "outputs": [
  64. {
  65. "data": {
  66. "image/png": 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\n",
  67. "text/plain": [
  68. "<Figure size 432x288 with 1 Axes>"
  69. ]
  70. },
  71. "metadata": {
  72. "needs_background": "light"
  73. },
  74. "output_type": "display_data"
  75. }
  76. ],
  77. "source": [
  78. "import numpy as np\n",
  79. "import matplotlib.pyplot as plt\n",
  80. "\n",
  81. "from sklearn.gaussian_process import GaussianProcessClassifier\n",
  82. "\n",
  83. "rng = np.random.RandomState(0)\n",
  84. "X = rng.randn(200, 2)\n",
  85. "Y = np.logical_xor(X[:, 0] > 0, X[:, 1] > 0)\n",
  86. "\n",
  87. "# plot data\n",
  88. "plt.scatter(X[:, 0], X[:, 1], c=Y, cmap=plt.cm.Spectral)\n",
  89. "plt.show()"
  90. ]
  91. },
  92. {
  93. "cell_type": "markdown",
  94. "metadata": {},
  95. "source": [
  96. "## Digital "
  97. ]
  98. },
  99. {
  100. "cell_type": "code",
  101. "execution_count": 7,
  102. "metadata": {},
  103. "outputs": [
  104. {
  105. "data": {
  106. "image/png": 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\n",
  107. "text/plain": [
  108. "<Figure size 432x432 with 64 Axes>"
  109. ]
  110. },
  111. "metadata": {},
  112. "output_type": "display_data"
  113. }
  114. ],
  115. "source": [
  116. "import matplotlib.pyplot as plt \n",
  117. "from sklearn.datasets import load_digits\n",
  118. "\n",
  119. "# load data\n",
  120. "digits = load_digits()\n",
  121. "\n",
  122. "# copied from notebook 02_sklearn_data.ipynb\n",
  123. "fig = plt.figure(figsize=(6, 6)) # figure size in inches\n",
  124. "fig.subplots_adjust(left=0, right=1, bottom=0, top=1, hspace=0.05, wspace=0.05)\n",
  125. "\n",
  126. "# plot the digits: each image is 8x8 pixels\n",
  127. "for i in range(64):\n",
  128. " ax = fig.add_subplot(8, 8, i + 1, xticks=[], yticks=[])\n",
  129. " ax.imshow(digits.images[i], cmap=plt.cm.binary)\n",
  130. " \n",
  131. " # label the image with the target value\n",
  132. " ax.text(0, 7, str(digits.target[i]))"
  133. ]
  134. },
  135. {
  136. "cell_type": "markdown",
  137. "metadata": {},
  138. "source": [
  139. "## Iris\n",
  140. "\n",
  141. "This data sets consists of 3 different types of irises’ (Setosa, Versicolour, and Virginica) petal and sepal length, stored in a 150x4 numpy.ndarray\n",
  142. "\n",
  143. "The rows being the samples and the columns being: Sepal Length, Sepal Width, Petal Length and Petal Width.\n"
  144. ]
  145. },
  146. {
  147. "cell_type": "code",
  148. "execution_count": 22,
  149. "metadata": {},
  150. "outputs": [
  151. {
  152. "data": {

机器学习越来越多应用到飞行器、机器人等领域,其目的是利用计算机实现类似人类的智能,从而实现装备的智能化与无人化。本课程旨在引导学生掌握机器学习的基本知识、典型方法与技术,通过具体的应用案例激发学生对该学科的兴趣,鼓励学生能够从人工智能的角度来分析、解决飞行器、机器人所面临的问题和挑战。本课程主要内容包括Python编程基础,机器学习模型,无监督学习、监督学习、深度学习基础知识与实现,并学习如何利用机器学习解决实际问题,从而全面提升自我的《综合能力》。