From cb311c9200720e8f92288c574482ed797149229d Mon Sep 17 00:00:00 2001 From: yezhengmao1 Date: Wed, 9 Apr 2025 13:24:18 +0000 Subject: [PATCH] [lynx] --- lynx/or_tools.ipynb | 211 ++++++++++++++++++++++--------- lynx/two_phase_algo.ipynb | 254 ++++++++++++++++++++++++++++++++++++++ 2 files changed, 408 insertions(+), 57 deletions(-) create mode 100644 lynx/two_phase_algo.ipynb diff --git a/lynx/or_tools.ipynb b/lynx/or_tools.ipynb index 72cbd07..c9f6dea 100644 --- a/lynx/or_tools.ipynb +++ b/lynx/or_tools.ipynb @@ -2,11 +2,12 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 337, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", + "import random\n", "\n", "plt.rcParams[\"font.family\"] = \"Times New Roman\"\n", "plt.rcParams[\"font.size\"] = 16\n", @@ -14,7 +15,6 @@ "g_label_fontsize = 16\n", "\n", "colors = [\n", - " \"#455D7A\",\n", " \"#233142\",\n", " \"#F95959\",\n", "]\n", @@ -22,22 +22,21 @@ "edgecolors = [\n", " \"#FFFFFF\",\n", " \"#FFFFFF\",\n", - " \"#FFFFFF\",\n", "]\n", "\n", - "hatches = [\"\\\\\\\\\", \"\", \"\"]" + "hatches = [\"\", \"\"]" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 338, "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "
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" ] }, "metadata": {}, @@ -46,111 +45,209 @@ ], "source": [ "fig, ax = plt.subplots(\n", - " figsize=(7, 14 / 5), ncols=1, nrows=1, constrained_layout=True, dpi=300\n", + " figsize=(7, 7 / 2), ncols=1, nrows=1, constrained_layout=True, dpi=300\n", ")" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 339, "metadata": {}, "outputs": [], "source": [ - "labels_name = [\n", - " \"ORTools\",\n", - " \"XXX\",\n", + "labels_name_a = [\n", + " \"ModelA\\n8DP\",\n", + " \"ModelA\\n8TP\",\n", + " \"ModelA\\n2DP$\\\\times$4TP\",\n", + " \"ModelA\\n2DP$\\\\times$8TP\",\n", + " \"ModelA\\n4DP$\\\\times$2TP\",\n", + " \"ModelB\\n8TP\",\n", + " \"ModelB\\n4DP$\\\\times$2TP\",\n", "]" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 340, "metadata": {}, "outputs": [], "source": [ - "x_data = [2, 4, 6, 8, 10, 12, 14, 16, 18, 20]\n", - "data_a = [53, 53, 53, 53, 53, 53, 53, 53, 53, 100]\n", - "data_b = [53, 53, 53, 53, 53, 53, 53, 53, 53, 100]" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "legend_labels = [\n", - " \"ORTools\",\n", - " \"XXX\",\n", + "# MFU\n", + "data_a = {\n", + " labels_name_a[0]: [39.3, 44.4], # modela 8DP\n", + " labels_name_a[1]: [39.3, 43.6], # modela 8TP\n", + " labels_name_a[2]: [33.8, 44.6], # modela 2DP 4TP\n", + " labels_name_a[3]: [38.0, 42.6], # modela 2DP 8TP\n", + " labels_name_a[4]: [36.9, 44.7], # modela 4DP 2TP\n", + " labels_name_a[5]: [43.4, 49.4], # modelb 8TP\n", + " labels_name_a[6]: [37.6, 38.0], # modelb 4DP 2TP\n", + "}\n", + "\n", + "data_b = [\n", + " random.uniform(550, 650),\n", + " random.uniform(550, 650),\n", + " random.uniform(550, 650),\n", + " random.uniform(550, 650),\n", + " random.uniform(550, 650),\n", + " random.uniform(670, 770),\n", + " random.uniform(670, 770),\n", + "]\n", + "data_c = [\n", + " random.uniform(190, 250),\n", + " random.uniform(190, 250),\n", + " random.uniform(190, 250),\n", + " random.uniform(190, 250),\n", + " random.uniform(190, 250),\n", + " random.uniform(250, 310),\n", + " random.uniform(250, 310),\n", "]" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 341, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(13.333333333333346, 0.5, '% Optimal Solution')" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "ax.plot(x_data, data_a, marker=\"o\", color=colors[0], label=legend_labels[0])\n", - "ax.plot(x_data, data_b, marker=\"x\", color=colors[1], label=legend_labels[1])\n", - "\n", - "ax.set_ylim(0, 105)\n", - "\n", - "ax.grid(True)\n", - "\n", - "ax.set_ylabel(\"% Optimal Solution\")" + "legend_labels = [\"OR-Tools\", \"DLRover-Lynx\"]" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 342, + "metadata": {}, + "outputs": [], + "source": [ + "bar_width = 0.2\n", + "group_spaing = 0.15\n", + "\n", + "group_positions = {}\n", + "current_pos = 0\n", + "\n", + "x_label_cnt = len(data_a.keys())\n", + "x_label_group_cnt = 2\n", + "\n", + "for idx in range(x_label_cnt):\n", + " group_positions[idx] = []\n", + " for _ in range(x_label_group_cnt):\n", + " group_positions[idx].append(current_pos)\n", + " current_pos += bar_width\n", + " current_pos += group_spaing\n", + "\n", + "group_centers = {}\n", + "for idx, positions in group_positions.items():\n", + " group_centers[idx] = sum(positions) / len(positions)" + ] + }, + { + "cell_type": "code", + "execution_count": 343, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "Text(0, 0.5, 'Time (s)')" ] }, - "execution_count": 8, + "execution_count": 343, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "ax.legend(\n", + "label_set = set()\n", + "for idx, (x_label, y_data) in enumerate(data_a.items()):\n", + " positions = group_positions[idx]\n", + "\n", + " for i, (pos, value, color, edgecolor, hatch, label) in enumerate(\n", + " zip(\n", + " positions,\n", + " y_data,\n", + " colors,\n", + " edgecolors,\n", + " hatches,\n", + " legend_labels,\n", + " )\n", + " ):\n", + " if label in label_set:\n", + " local_label = None\n", + " else:\n", + " local_label = label\n", + " label_set.add(local_label)\n", + "\n", + " ax.bar(\n", + " pos,\n", + " value,\n", + " width=bar_width,\n", + " color=color,\n", + " label=local_label,\n", + " hatch=hatch,\n", + " edgecolor=edgecolor,\n", + " )\n", + "\n", + "ax.set_xticks(list(group_centers.values()))\n", + "ax.set_xticklabels(list(data_a.keys()))\n", + "\n", + "ax.set_ylim(0, 100)\n", + "ax.set_yticks([0, 50, 100])\n", + "ax.set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n", + "\n", + "ax.tick_params(axis=\"x\", bottom=False, labelsize=g_label_fontsize - 4, pad=1)\n", + "ax.tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n", + "ax.set_ylabel(\"MFU (%)\", fontsize=g_label_fontsize)\n", + "\n", + "ax2 = ax.twinx()\n", + "ax2.plot(list(group_centers.values()), data_b, \"^--\", color=colors[0])\n", + "ax2.plot(list(group_centers.values()), data_c, \"v--\", color=colors[1])\n", + "ax2.set_ylim(0, 805)\n", + "ax2.set_yticks([0, 200, 400, 600, 800])\n", + "ax2.set_yticklabels([\"0\", \"200\", \"400\", \"600\", \"800\"], rotation=90, va=\"center\")\n", + "ax2.tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize)\n", + "ax2.set_ylabel(\"Time (s)\", fontsize=g_label_fontsize)" + ] + }, + { + "cell_type": "code", + "execution_count": 344, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 344, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fig.legend(\n", " ncol=3,\n", + "\n", " loc=\"upper center\",\n", - " frameon=True,\n", + " frameon=False,\n", " shadow=False,\n", + " bbox_to_anchor=(0.5, 1.12),\n", " fontsize=g_label_fontsize,\n", ")" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 345, "metadata": {}, "outputs": [ { "data": { - "image/png": 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i4jRgwACbo/HOzJkzdfz4cbf2Vq1a5bqvdu3aubV9+umnOnv2rE+xAYGwZs0a7d69W9OnTw/YHTXfffedkpKSsl736NFDefKE/nSH/IpIV6BAgaD0m5CQoAULFri1Byq37dy5U0uXLvUpttxwyjjgDMGYrz/99JMKFiyY9cQ3X7344ose240xOnLkiF99+2rhwoX69ddfJUnPPfdc0P7eAZ6E6nibOHFi1pMPR4wYoaioqJDs118XLlzQ5MmT3dp9ya9t2rRRTEyMS1tSUpKmTZvmc3y4tgRjvn744Yd64403cnWXeHaMMZo9e3bW6xIlSvj13bU/yK8IlHC5FuOUcz6njCPcUFgBANnYsWOHfv/994BcGOnZs6fHdk8XT4Nt165dmjNnjiTpT3/6kypXrhzyGIBQWLZsmdavXy9JGjhwoGW1crj54osv3NrKlCmj+Pj4XPfVokULt7aUlBRblyECypcvr1mzZvl094GVcLhbh/wKJ4iNjQ1Kv5fvPLpa48aNc91X7dq1VaxYMbd2T/kz0JwyDjhDMObrhg0b9OCDD/r0ufNKderUsbwj145zYOn/ix+LFStm+WU7ECzByq9XSk9P1+jRoyVJ1atXD8hSA6Eyb948/f77727tvuTXwoULe/z7Q36FtwI9X9PT0zV8+HANHDgwYH2uWrXKpVCxW7duti2/QX5FoITLtRinnPM5ZRzhhsIKAMhG/vz5NW7cON18881+99WkSRMVLVrUrd2OKt5Ro0YpMzNT0h8Xnnv37q0xY8Zo7dq1SktLC3k8QLBcPrmTpGnTpumRRx7RBx98oE2bNik9Pd3GyKydPHnS42PpGjRo4FN/tWrV8njXvt3rW+PaVqVKFd11110B6+/qdTLLly+v1q1bB6x/b5Ff4QTBetKLpy918ufPr+uvv96n/urUqePWNnfuXGVkZPjUn7ecMg44QzDma9++fTV8+PCA9OXpzjbJnnPgn376SatWrZIkpaWlqUePHvr73/+u+fPn21bogWtLKJ6kNn36dCUkJEj648JR165d9eqrr+rbb7/VmTNngr5/f1hd/PH1PNhTfl2xYkXW0zyA7AR6vsbExOiRRx5RdHR0wPoMhxsLJPIrAitcrsU45ZzPKeMINxRWAEA2atSooWeeeSYgfeXJk8fjXT/lypULSP/eOnLkiD799NOs14cPH9b06dM1ePBgtWzZUqVKlVK/fv20cuXKkMYFBNqGDRtcChT27t2r//znP3rqqafUpEkTlStXToMGDdKmTZtsjNLdsmXLPBZ9+Hrne4ECBVSlShW39hUrVlxzH3zhXMuXL9epU6eyXtuxDAj5FU4RyC98Lzt69Kg2b97s1l6hQgWf91e3bl23tjNnzmjjxo0+9ecNp4wDzhGM+frMM8+oRo0aAenL6slUoT4Hlv5/eUBJSk1N1XfffafXX39dXbt2VdmyZdW2bVtNnjxZ58+fD3lsuDYEY75ebdSoUVn/PnfunBYtWqSXXnpJd955p0qVKqVOnTpp1qxZYVfwm5GRoWXLlrm1582b1+en53jKr5mZmfrhhx986g/XllDMV38YY/TVV19lvY6Li1P79u1tiYX8ikAKh2sxTjnnc8o4whGFFQAQQnFxcW5tN9xwQ0hjePfdd3Xx4kXL98+fP69Jkyapbdu2qlmzpj766KOsu2+BSHLl0yo8OXXqlMaOHasmTZqoUaNGLieldlq9erXHdn+WTKhWrZpbW3JysscP2EAkCoe7dcivgLVQ5TZJQS1ecso4gFDxdP5bsmRJlS9fPqRxbN26VQsXLsz2d1auXKk///nPKleunAYMGKBjx46FKDogMBYuXKhff/3V8v2MjAwtXrxY9913n+Lj4zVixAglJyeHMEJrmzdv9rgMSHx8vKKionzqk/wKJ1u7dq0SExOzXtu1DAj5FeHOl2sxTjnnc8o4whGFFQAQQp7uCrjllltCtv8zZ85owoQJXv/+nj179MQTT6hZs2ZZj3UDIsHu3bs1e/Zsr39/8+bN6tmzp9q3b6+tW7cGMbKcBeODb9myZT22X2sVxXCmjIwMl2VA4uPjQ74MCPkVyJ5TcptTxgGEit3nv5e9+eabMsZ49bu///67JkyYoOuvv17vvPOOLl26FOTogMDI6caCK50+fVpvvvmmatWqpSlTpng9P4KF/ArkTjjcWCCRXxH+fPks6pSc5JRxhCMKKwAghK6sJpakggULhvRRbe+9957OnTuX6+02btyo1q1ba+DAgSwdgIgwatQon+4E//7779W4cWP985//DEJUOcvMzLS8y8ifD75lypTx2L5t2zaf+wTCxYoVK1zWbu3Zs6fPd7b5ivwKZM/qCUmRltucMg4gVK4+/5WkLl26hDSGAwcOeFxfOifJyckaOnSoGjdurH379gUhMiBwVq9erZ9++inX2x09elSPPvqobr31Vp08eTIIkXknlPl1+/btPvcJhIsrn7hasmRJW5YBIb8iEvhyLcYp53xOGUc4orACAELk5MmTbo876927twoWLBiS/aekpGjs2LF+9TF+/Hh16dLFp4tHQKj89ttv+vTTT33ePj09XS+88IL+/Oc/h7yC/siRI5ZLCfjzwbd06dIe23fv3u1zn0C4mDVrlsvrUN+tQ34FcrZ//36P7ZGW25wyDiBU/ve//7m8Llq0qHr16hXSGN5++22lp6f7vP3//vc/tWjRQmvWrAlgVEBg+XtjwIoVK9SiRQvt3LkzQBHlTijz6+nTp3Xq1Cmf+wXstm7dOh04cCDrdffu3RUTExPyOMivCHe+XotxyjmfU8YRjkL/FxcArlErVqxweR0VFaVBgwaFbP958+bVpk2blJKSopSUFB09elSJiYnat2+f1q1bp3Xr1ikpKSnHfhYvXqzWrVvr22+/tXz8E2CnuLg47d27VykpKbpw4YKOHDmixMRE7d69W+vWrdP69et1/vz5HPuZPHmyEhISNH/+fBUqVCgEkUsJCQmW75UrV87nfvPnz++x/ejRoz73CYSDzMxMzZkzJ+t1hQoV1KpVq5DGQH4FspeZmalDhw55fC8Yue38+fP6/fffA567nTIOIFQyMzPd7qDv379/yI/pl19+WUOHDlVqaqqSkpJ06NAhHTp0SJs2bdK6deu8+iL4xIkTuu222/T555+re/fuIYgayJ1PPvlEFy5cUGpqqk6ePKnExEQdOHBAGzZs0Lp163Tw4MEc+9i7d69atmypBQsWhPzztNV5cDDyq/THeXDJkiV97huwU7gsA0J+Rbjz5VqMU875nDKOcEVhBQCEyJXrv0t/VEjecMMNIdt/TEyM4uPjs17Xr1/f5f2MjAx9//33+vTTT/XFF19kW3W8ZcsWde7cWStWrAjZEzcAb+XPn1/XXXdd1usGDRq4vJ+WlqbFixdrypQpmjdvXrbrQS5fvlz333+/5s2bpzx5gv+gL0+PS77Mn7lm9cH36sptINL89NNPLgVCdiwDQn4Fsnf8+HHLpzEFI7dJf+S3atWq+dy3J04ZBxAqP/zwg86cOZP1umjRohoxYkTI4yhZsqTLBdSWLVu6vL9nzx5Nnz5d77//vn777TfLflJTU9W7d28tXbpUbdq0CVq8gC9yKsrdvHmzvvjiC02YMMFlXl4tKSlJd999t1avXq3atWsHOEprVufBwcyv9erV87lvwE5XFlaUKlVKt912my1xkF8R7ny5FuOUcz6njCNcsRQIAITA+fPn9fXXX2e9jomJ0auvvmpjRO6io6N1++23a+rUqdqxY4f69OmT7e9v2LBBAwcODFF0QODkz59f3bp109y5c7Vp0yZ16tQp299fuHChXn/99ZDElpycbPlegQIFfO7X6oNvdvsDIoHdy4B4g/yKa112uSZYX+oEI785ZRxAqEybNs3l9ZAhQ8LyDvEaNWro73//u/bt26cxY8YoLi7O8nfT0tJ0//336/jx4yGMEPBfw4YN9a9//UsJCQl6+eWXsz23TEpKUq9evZSSkhKS2C5evKi0tDSP75FfAVcbNmxwebz/vffeq+joaBsjskZ+hZ18vRbjlHM+p4wjXFFYAQAhMHXqVJfkMmzYMFWvXt3GiLJXvXp1TZ06Vd988022625NmjRJS5cuDWFkQGA1bNhQCxcu1NSpU1WiRAnL33vttde0bdu2oMdz4cIFj+2xsbF+3YVvdaJt9QUWEAmMMZo9e3bW64oVK6pFixY2RpQz8iuuRVa5TfKvaDC7L5GDkd+cMg4gFE6dOqUvvvgi63X16tX1l7/8xcaIchYbG6tBgwZp69at6tKli+Xv/fbbbxo8eHAIIwMCp1ixYnrppZe0efPmbJf72Lp1q0aOHBmSmMivgPeuXgakV69eNkXiPfIr7ODrtRin5CSnjCNcUVgBAEF28eJFvfXWW1mva9WqpZdeesnGiLx35513asOGDWrSpInl7wwdOjTbpRSASNCnTx/9/PPPqlq1qsf3L126pOHDhwc9DqsPvv4uCZCRkeGx3eqxcEAkWL16tY4cOZL12o5lQHxFfsW1JLsvdfzJb1a5TQpOfnPKOIBQGD16tFJTU7Nef/zxx359iRtK5cuX17x58/S3v/3N8nc+//xzrV+/PoRRAYFVs2ZN/fjjj+rbt6/l74wePVqHDx8OeizkV8B7VxZWlC5dWu3atbMxmtwhvyJU/LkW45Sc5JRxhCsKKwAgyD766CMlJCRI+qOq75NPPsn2sUnhpkyZMvrxxx/d1sq77Ndff9U333wT4qiAwKtZs6ZWr16tmjVrenx/wYIFQX9qhdVFVH+/iM7MzPTYHkl/i4CrRcIyINkhv+JakV2BkD/5zSq3ScHJb04ZBxBsR48e1bhx47Je9+/fP6Iu/Fw2cuRIjR492vL9K7+wByJRTEyMpkyZYrkEXVpamsaOHRv0OMivgHd++eUX7dmzJ+t1OC8Dkh3yK4LNn2sxTslJThlHuKKwAgCC6NSpUy4Vka+88opat25tY0S+KVy4sObOnavKlSt7fP/q9XOBSFWuXDnNnz9fxYsX9/j+Z599FtT9Fy5cOCj9XnnH4JX8fRIGYJerlwGpVKlS2C8D4gn5FdeCUOc2KTj5zSnjAILtL3/5i86fPy9JuuGGGzRmzBh7A/LDkCFDNGDAAI/vzZs375paSxrONWbMGHXu3Nnje59//nnQn6BGfgW8c/UyIJF2Y8GVyK8IFn+vxTglJzllHOGKwgoACKLBgwfr9OnTkqS77rpLL7zwgs0R+a5MmTKaPn26x8esf/vttzyuHI5Rq1YtTZgwweN7wb57vEiRIh7bs/vg6g2rde4i5ZHMwNV+/vlnHTp0KOt1JKwta4X8Cqezym2Sf/ktuzVcg5HfnDIOIJi+++67rKLAIkWK6Msvv4z443jcuHFq0KCBW3tqaqp+/PFHGyICAitPnjz67LPPVK5cObf3EhMTtXXr1qDuP7uLP+RX4P999dVXWf8uW7asbrnlFhuj8R/5FcHg77UYp5zzOWUc4YrCCgAIknnz5unTTz+VJFWtWlXTpk2LmLXfrbRo0UJPPPGEW/vJkye1b98+GyICguO+++7TXXfd5da+efPmoK4ZF6zCist3DV7N6skcQLhz0t06EvkVzhasL3WscpsUnPzmlHEAwXLu3Dn169dPxhhFRUVp8uTJuv766+0Oy28xMTH68MMPPZ7Lr1u3zoaIgMArVqyY5dNlgn2cR0dHW97lSn4F/rB161bt2LEj63WkLgNyJfIrAi0Q12Kccs7nlHGEKworACAIEhMT9ec//1mSFBcXp8WLF6tkyZI2RxUY//jHPxQTE+PWvnfvXhuiAYLn1VdfdWvLyMjIWqcvGEqUKOGx3d/CCqvHKFotPwCEuysLK6pUqaLmzZvbGE1gkF/hVMWKFbP8Qsuf/GaV2woVKhSUz91OGQcQLI8//rgOHDggSXrzzTfVo0cPmyMKnJYtW6pjx45u7eRoOMn999+vevXqubWH4jgPxnlwdksJcB6MSDNr1iyX15F+Y8Fl5FcESqCuxTjlnM8p4whXFFYAQIBdunRJDzzwgE6dOqV8+fJpzpw5qlWrlt1hBUx8fLzHL8kuP2YLcIpmzZrppptucmsP5rFu9bciIyPDrw++Z86c8dheqVIln/sE7PLf//4368KNFNnLgFyJ/Aqnypcvn6pWrerxvezueMlJqHObU8YBBMMHH3ygGTNmSJKefPJJDRs2zOaIAm/gwIFubeRoOM0zzzzj1haK49zqPDgY+bVgwYIqVaqUz/0CdrjyxoJy5cqpbdu2NkYTWORX+CuQ12Kccs7nlHGEKworACDABg4cqFWrVilPnjyaOnWqoz7sXta1a1e3tszMTBsiAYIr1Md6xYoVVbRoUY/vHTlyxOd+T5w44bG9SpUqPvcJ2MVpy4BcifwKp/J0B6wUebnNKeMAAmnlypUaNGiQJKlLly4aN26czREFR/v27d2WKyBHw2ns+iwayvzK0yoQabZv365t27Zlve7Ro4fy5HHOZT3yK/wV6GsxTjnnc8o4wpFz/gIDQBh47733NGHCBEnSuHHjdP/999scUXB4+oCS3dpdQKSy41ivW7eux/bDhw/73OexY8c8tt94440+9wnY5crCiqpVq6pp06Y2RhNY5Fc4ldWXOpGW25wyDiBQ9u/fr549e+rSpUtq27atZs6cGfFrvlvJmzevWrZs6dJGjobTxMfHq3r16i5toTjOya+AtauXAXHKExsvI7/CH8G4FuOUnOSUcYQjCisAIEDmz5+fdafOK6+8oqeeesrmiIKnQoUKyps3r0vbtfbIJ1wbPD02LdjHesOGDT22JyYm+tznoUOH3Nry5Mmj5s2b+9wnYIeNGzdq3759Wa+d9qUS+RVOFarcJkktWrTwuc+cOGUcQCCcPn1aHTt21PHjx9WoUSPNmzdPsbGxdocVVFefG5Cj4UR2HOfkV8DalTcWlC9fXm3atLExmuAgv8IXwboW45Sc5JRxhCMKKwAgANauXasHHnhAGRkZGjRokF588UW7Qwq6kiVLZv07b968Pq9dBoSzq9derVChgooVKxbUfXbs2NFj+/79+33qLyUlRcePH3drr1evHncBIOI4eRmQy8ivcKI77rjD413svuY2SUpISHBri4qKCuqXOk4ZB+CvlJQUde3aVTt37tT111+vJUuWBP0zcji4+tygfv36NkUCBI8dx3mzZs3c9isFPr9KcrszHghnu3bt0q+//pr12mnLgFxGfkVuBfNajFPO+ZwyjnDkvL/CABBiW7duVadOnXThwgX17dtX7777rt0hhURKSkrWv1u1auX4u5NwbbryOJf+WPsx2G6//XaP82njxo0+9bdnzx4ZY9zau3Tp4lN/gJ2uLKyoXr26Ix83SH6FE8XFxenmm292a/c1t0nS7t273dpatmzpUpwUaE4ZB+CP9PR09ezZU6tWrVLFihW1dOlSlSlTxu6wQsKOcwMg1K48zmNjY9WqVaug7zM6OlqdOnVya9+zZ4+Sk5N96tNTfq1QoYIaN27sU3+AHa5eBsSJNxZI5FfkTrCvxTjlnM8p4whHFFYAgB/27t2rO++8U0lJSerevbsmTpyoqKgou8MKutTUVJ09ezbrdY8ePWyMBgieq9eOC8WxXrBgQY8nkRs2bPCpvy1btnhsD8S6g0Aobd682eUkzmnLgEjkVzibp4K+U6dO6cCBA7nu6/Dhwzp9+rRbeyhym1PGAfgiMzNTffr00aJFi1S6dGktXbr0mnpc95XnBk2aNFGVKlXsCwYIkiuP806dOqlAgQIh2a+n/GqM0aZNm3LdV0ZGhrZt2+bW3qtXr2viOzs4x5U3FsTHx6t169Y2RhM85Fd4K1TXYpxyzueUcYQbCisAwEcHDhzQbbfdpiNHjuiOO+7QF1984fHxSk60bt26rH8XLlxYDz/8sI3RAMHz888/Z/27cuXKHu+iCYY+ffq4tSUkJHj8AJsTT5XIderUUYMGDXyKDbDLtbAMCPkVTvbAAw8ob968bu2+FA56ym3R0dHq2bOnT7HlhlPGAeSWMUb9+vXT9OnTVbx4cS1ZsuSaW67qynODQK3jDYST1NRUbd68Oet1KI/zTp06KS4uzq3dl/y6bds2paamurU/8MADPsUG2GHv3r365Zdfsl737NnTsYVB5Fd4I5TXYpxyzueUcYQbCisAwAeHDh3SbbfdpoMHD6pNmzaaM2eO8ufP71efb775ppYtWxagCINr4cKFWf9+4YUXron1dHFtuvJY/+c//xmy4qmePXuqWrVqbu1LlizJdV8//fSTW9tzzz3nS1iAra4srKhZs6YjH+NLfoWTVahQQb1793ZrD1Ruu++++xQfH+9TbLnhlHEAuWGM0YABAzRlyhQVLlxYixYt8jsPL1++XG+88UaAIgy+7du3Z61JXbduXfXt29fmiIDAW758edYj+e+4446QPo6/YMGCeuaZZ9zaA5VfW7ZsqebNm/sUG2CHa+HGAon8Cu+E+lqMU875nDKOcENhBQDk0oEDB3TLLbdo3759at68uRYuXKiCBQv61eeECRM0YsSIiFiP6syZM/roo48kSVWrVtWQIUNsjggIjj179mj27NmSpFatWnn8IBos0dHRev75593a58yZk6t+Tpw4ofXr17u0lS9fnhNVRJytW7dqx44dWa+duAwI+RXXgr/85S9ud9p9/fXXyszMzFU/ixYtcmsbMWKEX7HlhlPGAXjDGKP+/fvro48+UoECBTR//ny1bNnSrz4TExN1//33uy27F87efPPNrH+/++67iomJsTEaIDhGjRolSYqJiQn4mvXeGDhwoNv3a8uXL9eZM2dy1Q/5FU4wa9asrH9fd911atWqlY3RBA/5FTmx61qMU875nDKOcEJhBQDkQkJCgm699Vbt379fTZs21ZIlS1SkSBGf+8vMzNQ777yjp556SvXq1YuIu29feeUVnTlzRlFRURo3bpzf1aFAuBo2bJjS09MVGxur8ePHh3z/jz76qK677jqXtsWLF3t8pKmVuXPnun1Q/vvf/868RcS5+m4dJxZWkF8RLtLT093acvuli5V69eqpe/fuLm3Hjh3T6tWrve5j9+7d2rp1q0tbr169QrrElVPGgcgXzPl6ua9+/frpk08+UYECBTRv3jzdeuutfvW5adMm3XzzzTpx4oTH5e/C0caNGzVt2jRJf9yZd8cdd9gcESJRsOerv77++mv98MMPkqQhQ4aobt26IY+hVKlSGjBggEvbpUuXtGDBAq/7SE5OdrsDuXnz5h7XmQes2D1fExISXB7V79RlQMivyImd12Kccs7nlHGEEworAMBLu3btUps2bZSQkKAWLVpo6dKlKl68uFfbGmOUnp6u8+fP6/Dhw1q3bp1Gjx6thg0baujQocrMzNRDDz2UYz8rV65U69atFRsbq/Lly2vo0KFeX2RNTk7WggULNGfOHJ04ccKrba42c+ZMjRkzRpL0xhtvqHPnzj71AwTTiRMnNGfOHM2fP1/Jyck+9TFq1CjNnTtXkjRp0iSfip78ma+SFBsbq3feecel7fz585oxY4bXfVxdENKsWTO3L6qASHBlYcX111+vRo0aBbR/8ivw/y5duuTWdvHixYD1P3r0aBUoUMClbeLEiV5vP27cOJfXRYsWzZo/3jp06JB69eqlokWLqmjRourZs6cOHjyYqz7CYRxAMOdrenq6+vTpo8mTJ6tQoUKaP3++OnTo4PX2mZmZSklJ0cmTJ7V9+3ZNnz5d999/v5o2baqDBw+qdu3aatq0aY79JCUl6bHHHlPJkiVVsGBB3XnnnW5f7GZnzZo1mj59uss69blx4sQJde/eXRkZGWrSpIkmT57sUz9AsOZrZmamli9frunTp2vXrl0+9bFr166spxp26tTJ52V6/J2vkvTSSy+pXLlyLm25ya+ffPKJy+f46OhoTZgwwZEXpRE8wf48nJNQLANCfkW4C4drMeFwzse5axgyAIAcbd682ZQpU8ZICspPVFS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", "text/plain": [ - "
" + "
" ] }, - "execution_count": 9, + "execution_count": 345, "metadata": {}, "output_type": "execute_result" } diff --git a/lynx/two_phase_algo.ipynb b/lynx/two_phase_algo.ipynb new file mode 100644 index 0000000..a8cd321 --- /dev/null +++ b/lynx/two_phase_algo.ipynb @@ -0,0 +1,254 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import random\n", + "\n", + "plt.rcParams[\"font.family\"] = \"Times New Roman\"\n", + "plt.rcParams[\"font.size\"] = 16\n", + "\n", + "g_label_fontsize = 16\n", + "\n", + "colors = [\n", + " \"#233142\",\n", + " \"#F95959\",\n", + "]\n", + "\n", + "edgecolors = [\n", + " \"#FFFFFF\",\n", + " \"#FFFFFF\",\n", + "]\n", + "\n", + "hatches = [\"\", \"\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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NpBjWANDY7J2f2rp1a9x4441Vr/v06RPXXnttDicCaHjFdA2orKyMMWPGxMaNG6N169Zx3333RbNmzRrsfACFrFj2/zfeeCNj/bDDDov58+fHhAkTonXr1jvsMXjw4HjiiSeiefPmae+tWbMmxowZUx+jAuSFYtn/d6Rly5bx0EMPxbnnnrvDz912220xdOjQWL16dSNNBkBd7ArXsH8nWJHHUqlUxnpd06qVlZUZ60m3VqmLYlgDQGOzd37q9ttvj7Kysoj4NKV6xx135O2sAPWlmK4B//Vf/xV//vOfIyLilltuiX333bfBzgVQ6Ipl/1+wYEHG+siRI6Nnz5417vP5z38+vve972V875lnnolnnnkmq/kA8k2x7P87M2PGjPjDH/4QzZo12+GjQWbOnBmHH354vPXWW404HQDZ2FWuYf9KsCKPtWnTpkH6lpeXZ6zXNUGUSTGsAaCx2Ts/fYbyv96dYuLEifGFL3whhxMBNI5iuQa8+uqrVY/9OPnkk3f612kAu7pi2f8XLVqUsd67d+9a97ryyiujY8eOGd/78Y9/XOt+APmoWPb/HfnpT38aw4cPjw0bNsTDDz8cM2fOjP/8z/9M/Pw777wThx9+eMyePbsRpwSgtnaFa9i/E6zIY23bts1YT/qCqqmkZ9DUNUGUSTGsAaCx2TsjLr/88li/fn1ERHz5y1+O7373uzmeCKBxFMM14JNPPolvfOMbsW3btvjsZz8bv/71r+v9HADFphj2/23btsVHH32U8b3Pfvazte7XunXruOiiizK+N3369KrvFwAKWTHs/0m2b98eF1xwQYwbNy4qKyvjrrvuipEjR0aTJk3iRz/6UfzmN7/J+NiniIj169fHcccdF7NmzWq0eQGonWK+hiURrMhjDfUFuWnTpoz19u3b16lvJsWwBoDGtqvvnY899ljcc889ERGx1157xb333hslJSU5ngqgcRTDNeCKK66It956K0pKSuI3v/lN4l8bA/BPxbD/J4UqIiK6deuWVc+kOx6lUql44YUXsuoJkE+KYf/PZPv27XHaaafFr371q4iIGDt2bHzjG9+o9pkzzzwz/vSnPyXOtHHjxjjuuOPib3/7W0OPC0AWivUatiOCFXmsQ4cOGet1/YLcuHFjxnqvXr3q1DeTYlgDQGPblffOZcuWxTnnnBMRER07downn3wyOnXqlOOpABpPoV8D/vCHP8Rtt90WEZ/ewn3YsGH12h+gWBX6/h/x6R2LkmT7b/pevXpF//79M773l7/8JaueAPmkGPb/f5dKpeKss86Khx56KCIi9t577/jRj36U8bNHH310vPjii9GjR4+M73/00UcxYsSI2LBhQ4PNC0B2ivEatjOCFXmsT58+GetJSZ2a+uCDDzLWe/bsWae+mRTDGgAa2666d27bti1OO+20WLduXTRv3jymTp2a+L8FQLEq9GvAv/5l8U9/+tMoKSnJ6r+zzz47Y/+kzwMUukLf/yMidtttt8T32rVrl3Xf4447LmN95cqVWfcEyBfFsP//uxtuuCHuu+++qtc//OEPo7S0NPHzBx54YLz44ovRu3fvjO+/++67MW7cuPoeE4A6SrqGbd++vU7hinz+PYZgRR7r27dvxvqaNWuioqIi675r1qzJWE/6h0tdFMMaABrbrrp3XnLJJTFz5sxo0qRJ3H333TFkyJBcjwTQ6Ar9GrB69ep67Qewqyj0/T8ionXr1onvNW/ePOu+/fr1y1hft25d1j0B8kUx7P//6i9/+UuMHz++6vVnP/vZGD169E6P23vvveO5555L/KXZnXfeGa+99lq9zQlA3e25556JAeoVK1Zk3Teff48hWJHHOnbsmPEZlJWVlfH+++9n3XfVqlUZ64MGDcq6Z5JiWANAY9sV985f/vKXVbeOnzRpUnz961/P8UQAubErXgMAKI79v02bNonhii1btmTdN+mXjlu3bs26J0C+KIb9/19dcsklUVlZWfX65JNPjmbNmtXo2N69e8ef/vSn6Ny5c8b3f/rTn9bLjADUnwMOOCBjffny5Vn3zOefYQlW5LkBAwZkrC9btiyrfuXl5bF27dq0+u677x6f+9znsuq5M8WwBoDGtivtnY8//niMHTs2IiImTpwYF154YU7nAci1XekaAMA/FcP+v/fee2esr1+/PuueXbt2zVjv1KlT1j0B8kkx7P8REc8//3y88sor1WrDhg2rVY8+ffrEww8/nDGMMXXq1Ni8eXOdZgSgftX3NSwi4r333kurNWnSJA477LCse9YXwYo8d/zxx2esL1myJKt+ZWVlGeuDBw/Oql9NFMMaABrbrrJ3zp49O0477bTYvn17jB07ttrtIgF2VbvKNQCA6oph/z/wwAMz1rNdQ0RE27ZtM9aT/qIZoNAUw/4fEXHfffel1ZKuCzsyZMiQmDBhQlp9y5Yt8dJLL2UzGgANpL6vYZs3b874mNm+ffsmfl/QmAQr8tzIkSMz1l9//fWs+i1atChjfcSIEVn1q4liWANAY9sV9s65c+fGCSecEJ988kmcddZZcfPNN+dsFoB8UsjXgFQqVS//TZ48uVb9AYpBIe///3DkkUdmrM+dOzfrnkmPF8nml3UA+agY9v+IiBdffDGtlukxJzUxbty46NWrV1p98eLFWfUDoGEMHz48WrRokVbP9hq2ePHijD/nyZffAQtW5Lm99tor47MkX3vttaz6vfnmm2m1Zs2axcknn5xVv5oohjUANLZi3zvffvvtOO6442LDhg3x1a9+Ne68884oKSnJySwA+abYrwEAZFYM+//w4cMz1v/yl79k3XPTpk0Z60cddVTWPQHySTHs/xGZb/ue6ZdtNdG8efP45je/mVavy6OlAKh/rVq1yvjYp/q8hkVEfP3rX8+qX30TrCgAY8aMSavNmTMnq7/MypQQGj58eIM/l7IY1gDQ2Ip173z33XfjmGOOiRUrVsSxxx4b999/fzRt2rTR5wDIZ8V6DQBgxwp9//8//+f/xMCBA9Pq06dPz7rnBx98kFbr0aNH7Lfffln3BMg3hb7/R0TGWTPt4TU1ZMiQtFr79u2z7gdAw8h0DSsrK8sqDJfpGrb//vtH//79s5qtvglWFIDzzz8/2rVrV6324YcfxuzZs2vda+bMmWm1yy67LNvRaqwY1gDQ2Ipx73zvvffimGOOiaVLl8ZRRx0VU6dOjdLS0jr1/PGPf1ynH9QC5KNivAYAsHPFsP+fd955abX33nsv8a/PdmbBggU1OgdAISuG/T/TYz9WrlyZdb/PfvazabXu3btn3Q+AhjF69OjYe++90+pPPfVUrXv9+c9/Tqvl08+wBCsKwGc+85k4//zz0+pTp06tVZ/XXnstVq1aVa128MEHx7HHHlun+WqiGNYA0NiKbe9899134+ijj4533nknDjvssHjiiSeiVatWdep52223xdVXX+2vroGiU2zXAABqphj2/7PPPjs6d+6cVr/77ruz6vfKK69Ue92sWbP49re/nVUvgHxVDPv/YYcdllabNWtW1v3Ky8urvW7SpEkcccQRWfcDoGE0bdo0rrrqqrR6ba9ha9asiVdffbVarXv37nHWWWfVab76JFhRIC677LJo3bp1tVptvyAfeeSRtNp1111Xp7lqoxjWANDYimXvLCsriy9+8YuxZMmSOOSQQ+Kpp56Ktm3bZt2vsrIyfvazn8WFF14Yffv2jYMOOqgepwXID8VyDQCgdgp9/2/VqlVce+21afUpU6bERx99VOt+Dz/8cLXXF1xwQfTo0SPr+QDyVaHv/1/5ylfSao8//njW/RYuXFjt9ZFHHhldunTJuh9AIauoqEirVVZW5mCSzM4+++y0Ow09+eSTaSG5HZk2bVramr7//e/X+Y7X9UmwokB07949xo8fX622ePHimDFjRo2OLy8vjzvuuKNa7ZRTTokTTjihxjNMmzYtBg4cGKWlpdGrV6+44YYbavX/tPmwBoBCkw97Z133/7feeiuOOuqoKCsri8GDB8fTTz9d42diplKpqKioiE2bNsXy5cvj5ZdfjptuuikGDBgQV155ZVRWVsYZZ5xR41kACkkxXAMAqL1i2P8vuOCCGDRoULXaunXr4mc/+1mNe0REvPTSS/HGG29Uve7Ro0dcf/31teoBUCgKff/PdCv4P/zhD7Fo0aIan/9fPfDAA9Vejxs3Lqs+AMVg27ZtabWtW7fWW/8XX3wxvvCFL0SLFi2ie/fuceWVV9YqFNGiRYu0f+tv2rQpfv/739e4xy9+8Ytqrw899NCMd3PKqRQFY+vWralDDz00FRFV/33pS1+q0bHXX399teO6du2aWr58eY3P/cADD1Q7/h//XXzxxQWzBoBCVcj7/1//+tdUly5dMvaoj/9KSkpSS5curfF6AApNIV8D6mLy5MkZzw2wqyiG/X/hwoWptm3bVutRWlqamjt3bo2O37JlS6p///7V/u3/6KOP1moGgEJT6Pv/ww8/nHb8kCFDUhUVFTXukUqlUrNmzUqVlJRU9Tj22GNrdTxAsdl///3T9tfjjz++XnrPnDkztdtuu6X1HzFiRK17ffWrX63WY7/99ktt27Ztp8fde++91Y5r3bp16s0338xmOQ3KT6YKzJIlS1IdO3as9sU1ZcqUHR4zY8aMVGlpadXnW7RokZo1a1atzpvp/2EjItWkSZPUypUrC2INAIWsEPf/WbNmpTp06NBgoYqISH3xi1+s1XoAClEhXgPqSrACoDj2/6lTp6aaNm1arU+fPn1Sq1ev3uFx27dvT5155pnVjrvmmmtqdW6AQlXo+/+FF16Y1uM//uM/Utu3b6/R8e+8806qR48eVcfutddeDf79B0C++8xnPpO2t/bv379eeh9//PGJP39/+eWXa9Vrw4YNqb333rtajwkTJuzwmHnz5lW77pWUlKQeeeSRuiypwfjJVAGaNWtWqk2bNlVfYKWlpYlfYL/73e+qfbZt27apJ598stbnzJRU+sd/L73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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(\n", + " figsize=(7, 7 / 2), ncols=1, nrows=1, constrained_layout=True, dpi=300\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [], + "source": [ + "labels_name_a = [\n", + " \"ModelA\\n8DP\",\n", + " \"ModelA\\n8TP\",\n", + " \"ModelA\\n2DP$\\\\times$4TP\",\n", + " \"ModelA\\n2DP$\\\\times$8TP\",\n", + " \"ModelA\\n4DP$\\\\times$2TP\",\n", + " \"ModelB\\n8TP\",\n", + " \"ModelB\\n4DP$\\\\times$2TP\",\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "# MFU\n", + "data_a = {\n", + " labels_name_a[0]: [43.0, 44.4], # modela 8DP\n", + " labels_name_a[1]: [42.2, 43.6], # modela 8TP\n", + " labels_name_a[2]: [43.1, 44.6], # modela 2DP 4TP\n", + " labels_name_a[3]: [41.0, 42.6], # modela 2DP 8TP\n", + " labels_name_a[4]: [44.7, 44.7], # modela 4DP 2TP\n", + " labels_name_a[5]: [48.1, 49.4], # modelb 8TP\n", + " labels_name_a[6]: [38.0, 38.0], # modelb 4DP 2TP\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [], + "source": [ + "legend_labels = [\"DLRover-Lynx without Local Search\", \"DLRover-Lynx\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "bar_width = 0.2\n", + "group_spaing = 0.15\n", + "\n", + "group_positions = {}\n", + "current_pos = 0\n", + "\n", + "x_label_cnt = len(data_a.keys())\n", + "x_label_group_cnt = 2\n", + "\n", + "for idx in range(x_label_cnt):\n", + " group_positions[idx] = []\n", + " for _ in range(x_label_group_cnt):\n", + " group_positions[idx].append(current_pos)\n", + " current_pos += bar_width\n", + " current_pos += group_spaing\n", + "\n", + "group_centers = {}\n", + "for idx, positions in group_positions.items():\n", + " group_centers[idx] = sum(positions) / len(positions)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(13.333333333333346, 0.5, 'MFU (%)')" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "label_set = set()\n", + "for idx, (x_label, y_data) in enumerate(data_a.items()):\n", + " positions = group_positions[idx]\n", + "\n", + " for i, (pos, value, color, edgecolor, hatch, label) in enumerate(\n", + " zip(\n", + " positions,\n", + " y_data,\n", + " colors,\n", + " edgecolors,\n", + " hatches,\n", + " legend_labels,\n", + " )\n", + " ):\n", + " if label in label_set:\n", + " local_label = None\n", + " else:\n", + " local_label = label\n", + " label_set.add(local_label)\n", + "\n", + " ax.bar(\n", + " pos,\n", + " value,\n", + " width=bar_width,\n", + " color=color,\n", + " label=local_label,\n", + " hatch=hatch,\n", + " edgecolor=edgecolor,\n", + " )\n", + "\n", + "ax.set_xticks(list(group_centers.values()))\n", + "ax.set_xticklabels(list(data_a.keys()))\n", + "\n", + "ax.set_ylim(0, 100)\n", + "ax.set_yticks([0, 50, 100])\n", + "ax.set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n", + "\n", + "ax.tick_params(axis=\"x\", bottom=False, labelsize=g_label_fontsize - 4, pad=1)\n", + "ax.tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n", + "ax.set_ylabel(\"MFU (%)\", fontsize=g_label_fontsize)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fig.legend(\n", + " ncol=3,\n", + "\n", + " loc=\"upper center\",\n", + " frameon=False,\n", + " shadow=False,\n", + " bbox_to_anchor=(0.5, 1.12),\n", + " fontsize=g_label_fontsize,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fig.savefig(\"two_phase_algo.pdf\", bbox_inches=\"tight\", dpi=1000)\n", + "fig" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.12.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}