190 lines
145 KiB
Plaintext
190 lines
145 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "6b53c4ac",
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"metadata": {},
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"outputs": [],
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"source": [
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"# 绘制一个图像\n",
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"# 在一个xy坐标轴上,x轴表示运行时间,y轴表示染色数量\n",
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"# 一个种群中有8个点,这8个点对应的两个指标互不相同,我们在图上会展示5个种群\n",
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"# 我们要展示这五个种群逐渐向坐标轴的左下方收敛的过程\n",
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"# 首先构造这五个种群的数据然后完成绘图"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "655d0bbf",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 600x500 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import numpy as np\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"\n",
|
||
"# 手动指定每个种群的数据点\n",
|
||
"# 第一个种群\n",
|
||
"population1_x = np.array([0.80,0.003,0.31,0.185,0.006,0.002,0.212,0.295])\n",
|
||
"population1_y = np.array([30,29,26,26,28,25,24,26])\n",
|
||
"\n",
|
||
"# 第二个种群\n",
|
||
"population2_x = np.array([0.002, 0.015, 0.003, 0.35, 1.24, 0.96, 0.23, 0.12]) \n",
|
||
"population2_y = np.array([26,26,26,26,24,23,24,26])\n",
|
||
"\n",
|
||
"# 第三个种群\n",
|
||
"population3_x = np.array([0.002, 0.56, 0.003, 0.85, 1.24, 0.96, 0.24, 0.15])\n",
|
||
"population3_y = np.array([26,24,26,22,24,23,24,22])\n",
|
||
"\n",
|
||
"# 第四个种群\n",
|
||
"population4_x = np.array([0.48, 0.56, 0.23, 0.85, 1.24, 0.85, 0.24, 0.15])\n",
|
||
"population4_y = np.array([22,24,23,22,24,23,24,22])\n",
|
||
"\n",
|
||
"# 第五个种群\n",
|
||
"population5_x = np.array([0.01, 0.48, 0.18, 0.55, 0.12, 0.85, 0.24, 0.15])\n",
|
||
"population5_y = np.array([22,24,22,22,24,23,24,22])\n",
|
||
"\n",
|
||
"# 整合数据\n",
|
||
"populations_x = [population1_x, population2_x, population3_x, population4_x, population5_x]\n",
|
||
"populations_y = [population1_y, population2_y, population3_y, population4_y, population5_y]\n",
|
||
"\n",
|
||
"# 设置颜色和标记\n",
|
||
"colors = ['red', 'orange', 'green', 'blue', 'purple']\n",
|
||
"labels = ['Generation 1', 'Generation 2', 'Generation 3', 'Generation 4', 'Generation 5']\n",
|
||
"\n",
|
||
"# 创建图表\n",
|
||
"plt.figure(figsize=(6, 5))\n",
|
||
"\n",
|
||
"# 绘制所有种群\n",
|
||
"for i in range(5):\n",
|
||
" plt.scatter(populations_x[i], populations_y[i], color=colors[i], alpha=0.7, s=100, label=labels[i])\n",
|
||
"\n",
|
||
"# 设置图表标题和标签\n",
|
||
"plt.xlabel('Runtime', fontsize=18)\n",
|
||
"plt.ylabel('Number of color', fontsize=18)\n",
|
||
"plt.grid(True, linestyle='--', alpha=0.7)\n",
|
||
"plt.legend(loc='upper right', fontsize=16)\n",
|
||
"\n",
|
||
"# 调整坐标轴范围,确保所有点都可见\n",
|
||
"plt.xlim(-0.2, 1.3)\n",
|
||
"plt.ylim(20,31)\n",
|
||
"\n",
|
||
"# 保存结果(可选)\n",
|
||
"plt.savefig('population_convergence.png', dpi=300, bbox_inches='tight')\n",
|
||
"\n",
|
||
"plt.tight_layout()\n",
|
||
"# 显示图表\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 8,
|
||
"id": "d3358507",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 600x500 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import numpy as np\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"\n",
|
||
"# 手动指定每个种群的数据点\n",
|
||
"# 第一个种群\n",
|
||
"population1_x = np.array([0.32,0.003,0.24,0.152,0.006,0.002,0.472,0.145])\n",
|
||
"population1_y = np.array([28,26,29,26,28,25,26,26])\n",
|
||
"\n",
|
||
"# 第二个种群\n",
|
||
"population2_x = np.array([0.002, 0.015, 0.003, 0.35, 0.63, 0.46, 0.23, 0.12]) \n",
|
||
"population2_y = np.array([26,26,26,26,24,23,24,26])\n",
|
||
"\n",
|
||
"# 第三个种群\n",
|
||
"population3_x = np.array([0.002, 0.56, 0.003, 0.45, 1.23, 0.72, 0.33, 0.15])\n",
|
||
"population3_y = np.array([26,24,26,22,24,23,24,22])\n",
|
||
"\n",
|
||
"# 第四个种群\n",
|
||
"population4_x = np.array([0.48, 0.56, 0.23, 0.85, 1.19, 0.85, 0.37, 0.14])\n",
|
||
"population4_y = np.array([22,24,23,22,24,23,24,22])\n",
|
||
"\n",
|
||
"# 第五个种群\n",
|
||
"population5_x = np.array([0.62, 0.65, 0.48, 0.55, 1.12, 0.85, 0.74, 0.68])\n",
|
||
"population5_y = np.array([22,24,22,22,24,23,24,22])\n",
|
||
"\n",
|
||
"# 整合数据\n",
|
||
"populations_x = [population1_x, population2_x, population3_x, population4_x, population5_x]\n",
|
||
"populations_y = [population1_y, population2_y, population3_y, population4_y, population5_y]\n",
|
||
"\n",
|
||
"# 设置颜色和标记\n",
|
||
"colors = ['red', 'orange', 'green', 'blue', 'purple']\n",
|
||
"labels = ['Generation 1', 'Generation 2', 'Generation 3', 'Generation 4', 'Generation 5']\n",
|
||
"\n",
|
||
"# 创建图表\n",
|
||
"plt.figure(figsize=(6, 5))\n",
|
||
"\n",
|
||
"# 绘制所有种群\n",
|
||
"for i in range(5):\n",
|
||
" plt.scatter(populations_x[i], populations_y[i], color=colors[i], alpha=0.7, s=100, label=labels[i])\n",
|
||
"\n",
|
||
"# 设置图表标题和标签\n",
|
||
"plt.xlabel('Runtime', fontsize=18)\n",
|
||
"plt.ylabel('Number of color', fontsize=18)\n",
|
||
"plt.grid(True, linestyle='--', alpha=0.7)\n",
|
||
"plt.legend(loc='upper right', fontsize=16)\n",
|
||
"\n",
|
||
"# 调整坐标轴范围,确保所有点都可见\n",
|
||
"plt.xlim(-0.2, 1.3)\n",
|
||
"plt.ylim(20,31)\n",
|
||
"\n",
|
||
"# 保存结果(可选)\n",
|
||
"plt.savefig('population_convergence1.png', dpi=300, bbox_inches='tight')\n",
|
||
"\n",
|
||
"plt.tight_layout()\n",
|
||
"# 显示图表\n",
|
||
"plt.show()"
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "lead",
|
||
"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": "3.11.11"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 5
|
||
}
|