plotting.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 449
        },
        "id": "yHBsFGadEsjs",
        "outputId": "90731ad0-044f-4b8c-c2c4-11ca18c12889"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import seaborn as sns\n",
        "traj_length_data = [112, 281, 183, 126, 168, 72, 181, 181, 95, 280, 106, 250, 151, 241, 248, 201, 261, 123, 146, 168, 314, 136, 97, 242, 204, 173, 277, 334, 187, 168, 234, 118, 106, 290, 149, 140, 123, 132, 220, 101, 438, 507, 110, 64, 164, 297, 169, 136, 147, 221, 197, 176, 130, 57, 164, 112, 128, 196, 109, 147, 157, 285, 300, 198, 120, 127, 157, 362, 125, 387, 229, 182, 307, 94, 82, 107, 149, 331, 142, 216, 243, 154, 201, 184, 188, 166, 98, 190, 140, 180, 117, 95, 158, 167, 166, 182, 113, 136, 108, 148, 150, 164, 132, 151, 160, 256, 212, 111, 101, 162, 155, 152, 132, 217, 200, 321, 176, 225, 153, 142, 137, 155, 114, 207, 160, 192, 178, 190, 118, 189, 366, 215, 167, 134, 82, 107, 113, 222, 306, 84, 85, 123, 212, 81, 326, 557, 267, 318, 317, 145, 96, 170, 108, 191, 416, 109, 117, 133, 216, 145, 97, 152, 187, 268, 89, 86, 211, 125, 81, 120, 191, 248, 177, 96, 231, 145, 188, 154, 130, 81, 181, 134, 121, 169, 171, 141, 152, 60, 172, 163, 162, 328, 136, 98, 143, 183, 126, 126, 234, 149, 210, 197, 146, 83, 154, 170, 102, 112, 135, 161, 207, 130, 128, 142, 176, 145, 138, 104, 76, 168, 208, 212, 218, 159, 178, 216, 105, 130, 273, 120, 141, 163, 108, 227, 149, 159, 158, 179, 89, 176, 149, 152, 185, 190, 154, 123, 135, 337, 120, 127, 151, 197, 365, 154, 156, 139, 123, 202, 202, 148, 108, 153, 257, 179, 182, 213, 594, 150, 189, 145, 176, 292, 164, 139, 127, 267, 173, 83, 239, 285, 73, 276, 212, 151, 124, 142, 184, 148, 172, 222, 88, 339, 207, 52, 184, 157, 136, 84, 133, 145, 293, 137, 228, 97, 102, 147, 116, 171, 74, 166, 90, 284, 150, 192, 206, 172, 233, 104, 201, 140, 87, 145, 239, 159, 122, 157, 154, 156, 164, 119, 91, 146, 178, 159, 172, 129, 126, 245, 172, 119, 360, 134, 137, 158, 132, 161, 126, 105, 156, 117, 87, 85, 150, 109, 142, 162, 322, 82, 240, 95, 157, 195, 103, 166, 144, 213, 104, 235, 204, 179, 116, 165, 214, 231, 419, 136, 270, 195, 183, 191, 165, 163, 197, 154, 264, 142, 226, 109, 107, 150, 161, 157, 318, 140, 80, 135, 163, 78, 165, 181, 150, 150, 137, 224, 138, 121, 179, 124, 377, 276, 182, 95, 234, 158, 207, 153, 132, 141, 106, 163, 188, 254, 205, 106, 176, 125, 143, 173, 90, 109, 190, 164, 183, 242, 78, 247, 78, 126, 126, 213, 185, 85, 249, 155, 232, 96, 134, 165, 155, 120, 185, 125, 88, 228, 164, 132, 134, 165, 81, 222, 125, 207, 156, 84, 149, 182, 183, 97, 354, 84, 93, 175, 185, 221, 190, 113, 204, 127, 168, 130, 127, 188, 141, 232, 184, 165, 133, 92, 141, 153, 212, 181, 95, 192, 141, 194, 178, 128, 281, 262, 170, 267, 356, 171, 187, 258, 113, 376, 204, 117, 119, 309, 122, 212, 151, 123, 293, 107, 92, 125, 148, 165, 190]\n",
        "sns.histplot(traj_length_data, bins=25, color='purple')\n",
        "# plt.title(\"Distribution of trajectory lengths\")\n",
        "plt.xlabel('Trajectory length')\n",
        "plt.ylabel('Number of Trajectories')\n",
        "mean=(round(np.mean(traj_length_data)))\n",
        "std=(round(np.std(traj_length_data)))\n",
        "plt.text(500, 90, 'mean: ' + str(mean) + '\\nst dev: ' + str(std))\n",
        "plt.axvline(np.mean(traj_length_data), color='red')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd\n",
        "palette = [\"blue\", \"orange\", \"green\", \"red\", \"purple\", \"brown\", \"pink\", \"gray\", \"olive\",\"cyan\",\"yellow\",\"orange\"]\n",
        "total=524+3+385+24607+3910+5510+2976+15051+21755+14090+572+571\n",
        "data = [['Initialize', 524,1], ['LookUp', 3,2], ['LookDown', 385,3],['MoveAhead',24607,4],['MoveBack', 3910,5],['MoveRight', 5510,6],['MoveLeft', 2976,7],['RotateAgent', 15051,8],['MoveArm', 21755,9],['MoveArmBase', 14090,10],['PickupObject', 572,11],['ReleaseObject', 571,12]]\n",
        "df = pd.DataFrame(data, columns=['Action', 'Percentage','Color'])\n",
        "df['Percentage']=100*df['Percentage']/total\n",
        "ax = sns.barplot(data=df, x='Action', y='Percentage', hue='Color', palette=palette, errorbar=None)\n",
        "legend = ax.legend('')\n",
        "legend.remove()\n",
        "plt.xticks(rotation=70)\n",
        "# plt.title(\"Distribution of types of actions\")\n",
        "plt.ylabel('Percentage')\n",
        "plt.xlabel('Action Type')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 534
        },
        "id": "ke0Db5ymLjmt",
        "outputId": "bcef27b3-99eb-4ebb-e48a-10f135ad2653"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd\n",
        "palette = [\"blue\", \"orange\", \"green\", \"red\", \"purple\"]\n",
        "\n",
        "data = [['FloorPlan_Train1_3', 96,1], ['FloorPlan_Train5_1', 100,2], ['FloorPlan_Train8_1', 104,3],['FloorPlan_Train12_3',108,4],['FloorPlan_Train7_5', 116,5]]\n",
        "df = pd.DataFrame(data, columns=['Scene', 'Count','Color'])\n",
        "\n",
        "ax = sns.barplot(data=df, x='Scene', y='Count', hue='Color', palette=palette, errorbar=None)\n",
        "legend = ax.legend('')\n",
        "legend.remove()\n",
        "plt.xticks(rotation=70)\n",
        "# plt.title(\"Number of tasks per scene\")\n",
        "plt.xlabel(\"Scene\")\n",
        "plt.ylabel(\"Number of Tasks\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 570
        },
        "id": "LcFWziOen9gq",
        "outputId": "45dc1ad0-080e-4da1-a348-4ff58b35189f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib\n",
        "df=pd.read_csv('scatterplot_data.csv')\n",
        "df.dropna()\n",
        "fig, ax = plt.subplots()\n",
        "df['x']=(df.Nav+df.Manip+df.Percep+df.NL)*df.Real_sim\n",
        "df['y'] = df.Num_scenes*df.Num_tasks\n",
        "df['ylog']=np.log10(df['y'])\n",
        "ax = sns.scatterplot(data=df, x='x', y='ylog', color='grey')\n",
        "\n",
        "data = [[8,np.log10(30*574)]]\n",
        "newdf = pd.DataFrame(data, columns=['x', 'ylog'])\n",
        "\n",
        "sns.scatterplot(data=newdf, x='x', y='ylog', color='red', marker='*',size = 50, sizes = (500, 1000),)\n",
        "plt.xlabel('Capabilities (Input Diversity)')\n",
        "plt.ylabel('Complexity (Task + Scene Diversity)')\n",
        "\n",
        "df['geommean']=round(np.sqrt(df['x']*df['ylog']),1)\n",
        "\n",
        "for i, txt in enumerate(df.geommean):\n",
        "    ax.annotate(txt, (df.x[i]+0.1, df.ylog[i]-0.1), fontsize=10)\n",
        "    if txt==5.8:\n",
        "      ax.annotate('LaNMP \\n (ours)', (df.x[i]-0.25, df.ylog[i]+0.3))\n",
        "legend = ax.legend('')\n",
        "legend.remove()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 449
        },
        "id": "sq0A5mOLpbcJ",
        "outputId": "d1b71290-8a55-47a5-d05a-adcb72847a10"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}