StochasticGradientDescent.ipynb

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    "colab": {
      "name": "Q2c.ipynb",
      "provenance": []
    },
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      "name": "python3",
      "display_name": "Python 3"
    }
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              "ok": true,
              "headers": [
                [
                  "content-type",
                  "application/javascript"
                ]
              ],
              "status": 200,
              "status_text": ""
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 73
        },
        "id": "11agf5JtYeFg",
        "outputId": "a370601e-4d19-46da-84d1-d7a3d9ab9813"
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "from numpy import random\n",
        "import random\n",
        "import matplotlib.pyplot as plt\n",
        "from google.colab import files\n",
        "uploaded=files.upload()"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "\n",
              "     <input type=\"file\" id=\"files-3dfd9ff1-a9cb-455b-ac2f-e416467f2924\" name=\"files[]\" multiple disabled\n",
              "        style=\"border:none\" />\n",
              "     <output id=\"result-3dfd9ff1-a9cb-455b-ac2f-e416467f2924\">\n",
              "      Upload widget is only available when the cell has been executed in the\n",
              "      current browser session. Please rerun this cell to enable.\n",
              "      </output>\n",
              "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Saving A2Q2Data_train.csv to A2Q2Data_train.csv\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 435
        },
        "id": "Jy_qC0WFYqoE",
        "outputId": "69bc6c28-40a2-445e-90ba-3aea7ef25bd5"
      },
      "source": [
        "data=pd.read_csv('A2Q2Data_train.csv',header=None)\n",
        "data"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <td>0.560650</td>\n",
              "      <td>0.250180</td>\n",
              "      <td>0.96773</td>\n",
              "      <td>0.425400</td>\n",
              "      <td>0.047506</td>\n",
              "      <td>0.62456</td>\n",
              "      <td>0.90287</td>\n",
              "      <td>0.27634</td>\n",
              "      <td>0.33391</td>\n",
              "      <td>0.45884</td>\n",
              "      <td>0.27900</td>\n",
              "      <td>0.70096</td>\n",
              "      <td>0.719810</td>\n",
              "      <td>0.171000</td>\n",
              "      <td>0.595790</td>\n",
              "      <td>0.51706</td>\n",
              "      <td>0.20535</td>\n",
              "      <td>0.829990</td>\n",
              "      <td>0.24995</td>\n",
              "      <td>0.319800</td>\n",
              "      <td>0.19674</td>\n",
              "      <td>0.958550</td>\n",
              "      <td>0.849480</td>\n",
              "      <td>0.923690</td>\n",
              "      <td>1.9741</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>0.86622</td>\n",
              "      <td>0.451350</td>\n",
              "      <td>0.934790</td>\n",
              "      <td>0.235810</td>\n",
              "      <td>0.504880</td>\n",
              "      <td>0.49742</td>\n",
              "      <td>0.117220</td>\n",
              "      <td>0.574880</td>\n",
              "      <td>0.71051</td>\n",
              "      <td>0.336890</td>\n",
              "      <td>0.608290</td>\n",
              "      <td>0.50955</td>\n",
              "      <td>0.019038</td>\n",
              "      <td>0.150970</td>\n",
              "      <td>0.030366</td>\n",
              "      <td>0.182380</td>\n",
              "      <td>0.72407</td>\n",
              "      <td>0.30008</td>\n",
              "      <td>0.256870</td>\n",
              "      <td>0.071868</td>\n",
              "      <td>0.22583</td>\n",
              "      <td>0.971380</td>\n",
              "      <td>0.028061</td>\n",
              "      <td>0.40178</td>\n",
              "      <td>0.929690</td>\n",
              "      <td>0.712280</td>\n",
              "      <td>0.935110</td>\n",
              "      <td>0.648440</td>\n",
              "      <td>0.88639</td>\n",
              "      <td>0.42374</td>\n",
              "      <td>0.56116</td>\n",
              "      <td>0.139260</td>\n",
              "      <td>0.65031</td>\n",
              "      <td>0.059234</td>\n",
              "      <td>0.350710</td>\n",
              "      <td>0.584530</td>\n",
              "      <td>0.096762</td>\n",
              "      <td>0.46007</td>\n",
              "      <td>0.001262</td>\n",
              "      <td>0.60890</td>\n",
              "      <td>...</td>\n",
              "      <td>0.551250</td>\n",
              "      <td>0.091007</td>\n",
              "      <td>0.412010</td>\n",
              "      <td>0.695830</td>\n",
              "      <td>0.644200</td>\n",
              "      <td>0.55454</td>\n",
              "      <td>0.007456</td>\n",
              "      <td>0.799660</td>\n",
              "      <td>0.590000</td>\n",
              "      <td>0.66175</td>\n",
              "      <td>0.758380</td>\n",
              "      <td>0.546640</td>\n",
              "      <td>0.070030</td>\n",
              "      <td>0.61851</td>\n",
              "      <td>0.915370</td>\n",
              "      <td>0.860320</td>\n",
              "      <td>0.893460</td>\n",
              "      <td>0.18328</td>\n",
              "      <td>0.327400</td>\n",
              "      <td>0.135820</td>\n",
              "      <td>0.80766</td>\n",
              "      <td>0.94360</td>\n",
              "      <td>0.32582</td>\n",
              "      <td>0.60013</td>\n",
              "      <td>0.76347</td>\n",
              "      <td>0.85428</td>\n",
              "      <td>0.22287</td>\n",
              "      <td>0.018455</td>\n",
              "      <td>0.148300</td>\n",
              "      <td>0.533590</td>\n",
              "      <td>0.27412</td>\n",
              "      <td>0.46065</td>\n",
              "      <td>0.655440</td>\n",
              "      <td>0.56656</td>\n",
              "      <td>0.490620</td>\n",
              "      <td>0.19920</td>\n",
              "      <td>0.320680</td>\n",
              "      <td>0.414190</td>\n",
              "      <td>0.830230</td>\n",
              "      <td>2.3354</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>0.39142</td>\n",
              "      <td>0.919950</td>\n",
              "      <td>0.138730</td>\n",
              "      <td>0.991810</td>\n",
              "      <td>0.543670</td>\n",
              "      <td>0.98449</td>\n",
              "      <td>0.340260</td>\n",
              "      <td>0.206470</td>\n",
              "      <td>0.40131</td>\n",
              "      <td>0.128990</td>\n",
              "      <td>0.126320</td>\n",
              "      <td>0.20168</td>\n",
              "      <td>0.279930</td>\n",
              "      <td>0.217640</td>\n",
              "      <td>0.440110</td>\n",
              "      <td>0.039892</td>\n",
              "      <td>0.14486</td>\n",
              "      <td>0.87135</td>\n",
              "      <td>0.107330</td>\n",
              "      <td>0.716590</td>\n",
              "      <td>0.27636</td>\n",
              "      <td>0.503620</td>\n",
              "      <td>0.113190</td>\n",
              "      <td>0.35442</td>\n",
              "      <td>0.020319</td>\n",
              "      <td>0.955620</td>\n",
              "      <td>0.313940</td>\n",
              "      <td>0.902470</td>\n",
              "      <td>0.69735</td>\n",
              "      <td>0.13239</td>\n",
              "      <td>0.76095</td>\n",
              "      <td>0.192730</td>\n",
              "      <td>0.68994</td>\n",
              "      <td>0.998050</td>\n",
              "      <td>0.047253</td>\n",
              "      <td>0.541340</td>\n",
              "      <td>0.322640</td>\n",
              "      <td>0.10621</td>\n",
              "      <td>0.597410</td>\n",
              "      <td>0.39388</td>\n",
              "      <td>...</td>\n",
              "      <td>0.583530</td>\n",
              "      <td>0.999320</td>\n",
              "      <td>0.512070</td>\n",
              "      <td>0.459310</td>\n",
              "      <td>0.936480</td>\n",
              "      <td>0.67159</td>\n",
              "      <td>0.178450</td>\n",
              "      <td>0.886770</td>\n",
              "      <td>0.012955</td>\n",
              "      <td>0.57806</td>\n",
              "      <td>0.782930</td>\n",
              "      <td>0.245450</td>\n",
              "      <td>0.778020</td>\n",
              "      <td>0.81165</td>\n",
              "      <td>0.620520</td>\n",
              "      <td>0.763380</td>\n",
              "      <td>0.456790</td>\n",
              "      <td>0.35245</td>\n",
              "      <td>0.229590</td>\n",
              "      <td>0.624210</td>\n",
              "      <td>0.38468</td>\n",
              "      <td>0.47702</td>\n",
              "      <td>0.97065</td>\n",
              "      <td>0.91283</td>\n",
              "      <td>0.51297</td>\n",
              "      <td>0.18225</td>\n",
              "      <td>0.42164</td>\n",
              "      <td>0.256070</td>\n",
              "      <td>0.097739</td>\n",
              "      <td>0.251740</td>\n",
              "      <td>0.27247</td>\n",
              "      <td>0.38911</td>\n",
              "      <td>0.799490</td>\n",
              "      <td>0.57753</td>\n",
              "      <td>0.866820</td>\n",
              "      <td>0.69741</td>\n",
              "      <td>0.628630</td>\n",
              "      <td>0.294790</td>\n",
              "      <td>0.542800</td>\n",
              "      <td>2.2053</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>0.79553</td>\n",
              "      <td>0.278540</td>\n",
              "      <td>0.228900</td>\n",
              "      <td>0.789290</td>\n",
              "      <td>0.492220</td>\n",
              "      <td>0.67084</td>\n",
              "      <td>0.769410</td>\n",
              "      <td>0.057104</td>\n",
              "      <td>0.20393</td>\n",
              "      <td>0.086936</td>\n",
              "      <td>0.064380</td>\n",
              "      <td>0.36584</td>\n",
              "      <td>0.253150</td>\n",
              "      <td>0.202030</td>\n",
              "      <td>0.067376</td>\n",
              "      <td>0.989730</td>\n",
              "      <td>0.30646</td>\n",
              "      <td>0.85280</td>\n",
              "      <td>0.524110</td>\n",
              "      <td>0.756550</td>\n",
              "      <td>0.31831</td>\n",
              "      <td>0.369100</td>\n",
              "      <td>0.450510</td>\n",
              "      <td>0.70262</td>\n",
              "      <td>0.829200</td>\n",
              "      <td>0.641070</td>\n",
              "      <td>0.252270</td>\n",
              "      <td>0.150120</td>\n",
              "      <td>0.81109</td>\n",
              "      <td>0.41140</td>\n",
              "      <td>0.26005</td>\n",
              "      <td>0.801630</td>\n",
              "      <td>0.82562</td>\n",
              "      <td>0.875920</td>\n",
              "      <td>0.234430</td>\n",
              "      <td>0.809200</td>\n",
              "      <td>0.730400</td>\n",
              "      <td>0.98323</td>\n",
              "      <td>0.287750</td>\n",
              "      <td>0.15789</td>\n",
              "      <td>...</td>\n",
              "      <td>0.979860</td>\n",
              "      <td>0.172000</td>\n",
              "      <td>0.001713</td>\n",
              "      <td>0.868900</td>\n",
              "      <td>0.072114</td>\n",
              "      <td>0.12187</td>\n",
              "      <td>0.490940</td>\n",
              "      <td>0.511780</td>\n",
              "      <td>0.364250</td>\n",
              "      <td>0.57088</td>\n",
              "      <td>0.282110</td>\n",
              "      <td>0.891310</td>\n",
              "      <td>0.758780</td>\n",
              "      <td>0.44876</td>\n",
              "      <td>0.640140</td>\n",
              "      <td>0.036639</td>\n",
              "      <td>0.629570</td>\n",
              "      <td>0.14766</td>\n",
              "      <td>0.572110</td>\n",
              "      <td>0.904750</td>\n",
              "      <td>0.47214</td>\n",
              "      <td>0.67075</td>\n",
              "      <td>0.67243</td>\n",
              "      <td>0.61736</td>\n",
              "      <td>0.94458</td>\n",
              "      <td>0.15247</td>\n",
              "      <td>0.10996</td>\n",
              "      <td>0.214430</td>\n",
              "      <td>0.602070</td>\n",
              "      <td>0.068362</td>\n",
              "      <td>0.24901</td>\n",
              "      <td>0.65976</td>\n",
              "      <td>0.943350</td>\n",
              "      <td>0.41246</td>\n",
              "      <td>0.927150</td>\n",
              "      <td>0.11015</td>\n",
              "      <td>0.101310</td>\n",
              "      <td>0.668010</td>\n",
              "      <td>0.345730</td>\n",
              "      <td>2.0400</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>0.65223</td>\n",
              "      <td>0.966650</td>\n",
              "      <td>0.179850</td>\n",
              "      <td>0.354060</td>\n",
              "      <td>0.840420</td>\n",
              "      <td>0.92891</td>\n",
              "      <td>0.014597</td>\n",
              "      <td>0.229530</td>\n",
              "      <td>0.43920</td>\n",
              "      <td>0.548940</td>\n",
              "      <td>0.834600</td>\n",
              "      <td>0.80267</td>\n",
              "      <td>0.445370</td>\n",
              "      <td>0.897530</td>\n",
              "      <td>0.804380</td>\n",
              "      <td>0.411270</td>\n",
              "      <td>0.99720</td>\n",
              "      <td>0.63410</td>\n",
              "      <td>0.565570</td>\n",
              "      <td>0.000590</td>\n",
              "      <td>0.65231</td>\n",
              "      <td>0.153830</td>\n",
              "      <td>0.948260</td>\n",
              "      <td>0.26342</td>\n",
              "      <td>0.157820</td>\n",
              "      <td>0.448350</td>\n",
              "      <td>0.740980</td>\n",
              "      <td>0.189670</td>\n",
              "      <td>0.86908</td>\n",
              "      <td>0.66328</td>\n",
              "      <td>0.15622</td>\n",
              "      <td>0.273410</td>\n",
              "      <td>0.34162</td>\n",
              "      <td>0.863620</td>\n",
              "      <td>0.354320</td>\n",
              "      <td>0.728260</td>\n",
              "      <td>0.576550</td>\n",
              "      <td>0.57002</td>\n",
              "      <td>0.689760</td>\n",
              "      <td>0.50665</td>\n",
              "      <td>...</td>\n",
              "      <td>0.614130</td>\n",
              "      <td>0.706590</td>\n",
              "      <td>0.122480</td>\n",
              "      <td>0.030009</td>\n",
              "      <td>0.030668</td>\n",
              "      <td>0.75171</td>\n",
              "      <td>0.631270</td>\n",
              "      <td>0.056698</td>\n",
              "      <td>0.833330</td>\n",
              "      <td>0.89095</td>\n",
              "      <td>0.068736</td>\n",
              "      <td>0.701080</td>\n",
              "      <td>0.596880</td>\n",
              "      <td>0.59140</td>\n",
              "      <td>0.585850</td>\n",
              "      <td>0.458830</td>\n",
              "      <td>0.695430</td>\n",
              "      <td>0.86650</td>\n",
              "      <td>0.638890</td>\n",
              "      <td>0.445720</td>\n",
              "      <td>0.24667</td>\n",
              "      <td>0.14579</td>\n",
              "      <td>0.20710</td>\n",
              "      <td>0.64127</td>\n",
              "      <td>0.99206</td>\n",
              "      <td>0.41792</td>\n",
              "      <td>0.75349</td>\n",
              "      <td>0.440330</td>\n",
              "      <td>0.181550</td>\n",
              "      <td>0.826180</td>\n",
              "      <td>0.93277</td>\n",
              "      <td>0.23674</td>\n",
              "      <td>0.027077</td>\n",
              "      <td>0.27111</td>\n",
              "      <td>0.233660</td>\n",
              "      <td>0.56356</td>\n",
              "      <td>0.047289</td>\n",
              "      <td>0.627920</td>\n",
              "      <td>0.979300</td>\n",
              "      <td>2.2053</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9995</th>\n",
              "      <td>0.13627</td>\n",
              "      <td>0.056966</td>\n",
              "      <td>0.229530</td>\n",
              "      <td>0.343080</td>\n",
              "      <td>0.019914</td>\n",
              "      <td>0.29071</td>\n",
              "      <td>0.124340</td>\n",
              "      <td>0.523650</td>\n",
              "      <td>0.80031</td>\n",
              "      <td>0.120490</td>\n",
              "      <td>0.919810</td>\n",
              "      <td>0.55052</td>\n",
              "      <td>0.094592</td>\n",
              "      <td>0.136600</td>\n",
              "      <td>0.833550</td>\n",
              "      <td>0.083821</td>\n",
              "      <td>0.45399</td>\n",
              "      <td>0.40924</td>\n",
              "      <td>0.768480</td>\n",
              "      <td>0.426970</td>\n",
              "      <td>0.76086</td>\n",
              "      <td>0.384420</td>\n",
              "      <td>0.018513</td>\n",
              "      <td>0.39370</td>\n",
              "      <td>0.449120</td>\n",
              "      <td>0.009911</td>\n",
              "      <td>0.006775</td>\n",
              "      <td>0.467920</td>\n",
              "      <td>0.93220</td>\n",
              "      <td>0.50219</td>\n",
              "      <td>0.59358</td>\n",
              "      <td>0.377660</td>\n",
              "      <td>0.42894</td>\n",
              "      <td>0.612890</td>\n",
              "      <td>0.237180</td>\n",
              "      <td>0.131540</td>\n",
              "      <td>0.409850</td>\n",
              "      <td>0.38345</td>\n",
              "      <td>0.853080</td>\n",
              "      <td>0.77156</td>\n",
              "      <td>...</td>\n",
              "      <td>0.601490</td>\n",
              "      <td>0.212890</td>\n",
              "      <td>0.004650</td>\n",
              "      <td>0.004972</td>\n",
              "      <td>0.802460</td>\n",
              "      <td>0.25764</td>\n",
              "      <td>0.964500</td>\n",
              "      <td>0.181950</td>\n",
              "      <td>0.231940</td>\n",
              "      <td>0.85072</td>\n",
              "      <td>0.183670</td>\n",
              "      <td>0.871540</td>\n",
              "      <td>0.677830</td>\n",
              "      <td>0.43832</td>\n",
              "      <td>0.967780</td>\n",
              "      <td>0.968570</td>\n",
              "      <td>0.125840</td>\n",
              "      <td>0.51761</td>\n",
              "      <td>0.997900</td>\n",
              "      <td>0.765670</td>\n",
              "      <td>0.99280</td>\n",
              "      <td>0.16210</td>\n",
              "      <td>0.64307</td>\n",
              "      <td>0.42456</td>\n",
              "      <td>0.89394</td>\n",
              "      <td>0.14626</td>\n",
              "      <td>0.50792</td>\n",
              "      <td>0.044008</td>\n",
              "      <td>0.195680</td>\n",
              "      <td>0.503800</td>\n",
              "      <td>0.23140</td>\n",
              "      <td>0.75825</td>\n",
              "      <td>0.418120</td>\n",
              "      <td>0.33551</td>\n",
              "      <td>0.361130</td>\n",
              "      <td>0.12088</td>\n",
              "      <td>0.050074</td>\n",
              "      <td>0.335240</td>\n",
              "      <td>0.040619</td>\n",
              "      <td>3.0543</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9996</th>\n",
              "      <td>0.95662</td>\n",
              "      <td>0.141930</td>\n",
              "      <td>0.978510</td>\n",
              "      <td>0.782700</td>\n",
              "      <td>0.198780</td>\n",
              "      <td>0.29844</td>\n",
              "      <td>0.331600</td>\n",
              "      <td>0.302100</td>\n",
              "      <td>0.68403</td>\n",
              "      <td>0.827360</td>\n",
              "      <td>0.442310</td>\n",
              "      <td>0.81193</td>\n",
              "      <td>0.118230</td>\n",
              "      <td>0.377270</td>\n",
              "      <td>0.350250</td>\n",
              "      <td>0.860170</td>\n",
              "      <td>0.37481</td>\n",
              "      <td>0.85513</td>\n",
              "      <td>0.054826</td>\n",
              "      <td>0.798760</td>\n",
              "      <td>0.25155</td>\n",
              "      <td>0.902890</td>\n",
              "      <td>0.953730</td>\n",
              "      <td>0.37675</td>\n",
              "      <td>0.828430</td>\n",
              "      <td>0.698230</td>\n",
              "      <td>0.586900</td>\n",
              "      <td>0.308460</td>\n",
              "      <td>0.98411</td>\n",
              "      <td>0.59844</td>\n",
              "      <td>0.23609</td>\n",
              "      <td>0.715870</td>\n",
              "      <td>0.46849</td>\n",
              "      <td>0.289140</td>\n",
              "      <td>0.996320</td>\n",
              "      <td>0.998280</td>\n",
              "      <td>0.639790</td>\n",
              "      <td>0.17242</td>\n",
              "      <td>0.717140</td>\n",
              "      <td>0.35409</td>\n",
              "      <td>...</td>\n",
              "      <td>0.057315</td>\n",
              "      <td>0.408580</td>\n",
              "      <td>0.369540</td>\n",
              "      <td>0.047269</td>\n",
              "      <td>0.101570</td>\n",
              "      <td>0.69784</td>\n",
              "      <td>0.706470</td>\n",
              "      <td>0.596470</td>\n",
              "      <td>0.695280</td>\n",
              "      <td>0.89112</td>\n",
              "      <td>0.741640</td>\n",
              "      <td>0.096792</td>\n",
              "      <td>0.056391</td>\n",
              "      <td>0.82075</td>\n",
              "      <td>0.009204</td>\n",
              "      <td>0.053390</td>\n",
              "      <td>0.988780</td>\n",
              "      <td>0.92262</td>\n",
              "      <td>0.358020</td>\n",
              "      <td>0.457210</td>\n",
              "      <td>0.98353</td>\n",
              "      <td>0.40739</td>\n",
              "      <td>0.64656</td>\n",
              "      <td>0.49508</td>\n",
              "      <td>0.60658</td>\n",
              "      <td>0.11022</td>\n",
              "      <td>0.22678</td>\n",
              "      <td>0.302910</td>\n",
              "      <td>0.310430</td>\n",
              "      <td>0.528470</td>\n",
              "      <td>0.47084</td>\n",
              "      <td>0.71044</td>\n",
              "      <td>0.323540</td>\n",
              "      <td>0.65593</td>\n",
              "      <td>0.043369</td>\n",
              "      <td>0.69314</td>\n",
              "      <td>0.672490</td>\n",
              "      <td>0.573740</td>\n",
              "      <td>0.110510</td>\n",
              "      <td>2.3255</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9997</th>\n",
              "      <td>0.89209</td>\n",
              "      <td>0.997530</td>\n",
              "      <td>0.880430</td>\n",
              "      <td>0.813160</td>\n",
              "      <td>0.294460</td>\n",
              "      <td>0.40088</td>\n",
              "      <td>0.198950</td>\n",
              "      <td>0.402530</td>\n",
              "      <td>0.98442</td>\n",
              "      <td>0.746290</td>\n",
              "      <td>0.592020</td>\n",
              "      <td>0.82431</td>\n",
              "      <td>0.112150</td>\n",
              "      <td>0.066876</td>\n",
              "      <td>0.612770</td>\n",
              "      <td>0.745910</td>\n",
              "      <td>0.93239</td>\n",
              "      <td>0.49705</td>\n",
              "      <td>0.377260</td>\n",
              "      <td>0.830410</td>\n",
              "      <td>0.40691</td>\n",
              "      <td>0.675970</td>\n",
              "      <td>0.214690</td>\n",
              "      <td>0.53494</td>\n",
              "      <td>0.552890</td>\n",
              "      <td>0.464460</td>\n",
              "      <td>0.944960</td>\n",
              "      <td>0.356180</td>\n",
              "      <td>0.80578</td>\n",
              "      <td>0.08364</td>\n",
              "      <td>0.79463</td>\n",
              "      <td>0.526860</td>\n",
              "      <td>0.12911</td>\n",
              "      <td>0.269210</td>\n",
              "      <td>0.421650</td>\n",
              "      <td>0.867550</td>\n",
              "      <td>0.511020</td>\n",
              "      <td>0.18014</td>\n",
              "      <td>0.143220</td>\n",
              "      <td>0.74753</td>\n",
              "      <td>...</td>\n",
              "      <td>0.413410</td>\n",
              "      <td>0.498670</td>\n",
              "      <td>0.659420</td>\n",
              "      <td>0.799810</td>\n",
              "      <td>0.018457</td>\n",
              "      <td>0.80476</td>\n",
              "      <td>0.684770</td>\n",
              "      <td>0.753840</td>\n",
              "      <td>0.561020</td>\n",
              "      <td>0.45456</td>\n",
              "      <td>0.412120</td>\n",
              "      <td>0.862630</td>\n",
              "      <td>0.304430</td>\n",
              "      <td>0.93639</td>\n",
              "      <td>0.588860</td>\n",
              "      <td>0.189680</td>\n",
              "      <td>0.723100</td>\n",
              "      <td>0.28002</td>\n",
              "      <td>0.525820</td>\n",
              "      <td>0.674060</td>\n",
              "      <td>0.95525</td>\n",
              "      <td>0.48710</td>\n",
              "      <td>0.26623</td>\n",
              "      <td>0.51585</td>\n",
              "      <td>0.69120</td>\n",
              "      <td>0.29495</td>\n",
              "      <td>0.71202</td>\n",
              "      <td>0.645910</td>\n",
              "      <td>0.174860</td>\n",
              "      <td>0.011233</td>\n",
              "      <td>0.64760</td>\n",
              "      <td>0.86836</td>\n",
              "      <td>0.227950</td>\n",
              "      <td>0.92668</td>\n",
              "      <td>0.735700</td>\n",
              "      <td>0.77533</td>\n",
              "      <td>0.827720</td>\n",
              "      <td>0.331150</td>\n",
              "      <td>0.928750</td>\n",
              "      <td>2.0964</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9998</th>\n",
              "      <td>0.70381</td>\n",
              "      <td>0.422940</td>\n",
              "      <td>0.259230</td>\n",
              "      <td>0.230480</td>\n",
              "      <td>0.710920</td>\n",
              "      <td>0.27516</td>\n",
              "      <td>0.843470</td>\n",
              "      <td>0.338950</td>\n",
              "      <td>0.22252</td>\n",
              "      <td>0.586820</td>\n",
              "      <td>0.792810</td>\n",
              "      <td>0.49821</td>\n",
              "      <td>0.685860</td>\n",
              "      <td>0.548070</td>\n",
              "      <td>0.207830</td>\n",
              "      <td>0.069656</td>\n",
              "      <td>0.39519</td>\n",
              "      <td>0.30295</td>\n",
              "      <td>0.042202</td>\n",
              "      <td>0.035398</td>\n",
              "      <td>0.52103</td>\n",
              "      <td>0.036457</td>\n",
              "      <td>0.175130</td>\n",
              "      <td>0.33350</td>\n",
              "      <td>0.025961</td>\n",
              "      <td>0.512030</td>\n",
              "      <td>0.437560</td>\n",
              "      <td>0.198500</td>\n",
              "      <td>0.94114</td>\n",
              "      <td>0.45368</td>\n",
              "      <td>0.26828</td>\n",
              "      <td>0.565080</td>\n",
              "      <td>0.26483</td>\n",
              "      <td>0.989660</td>\n",
              "      <td>0.616760</td>\n",
              "      <td>0.017108</td>\n",
              "      <td>0.822530</td>\n",
              "      <td>0.15263</td>\n",
              "      <td>0.712480</td>\n",
              "      <td>0.87876</td>\n",
              "      <td>...</td>\n",
              "      <td>0.753310</td>\n",
              "      <td>0.339410</td>\n",
              "      <td>0.719550</td>\n",
              "      <td>0.147970</td>\n",
              "      <td>0.335700</td>\n",
              "      <td>0.33461</td>\n",
              "      <td>0.889570</td>\n",
              "      <td>0.267290</td>\n",
              "      <td>0.302410</td>\n",
              "      <td>0.88604</td>\n",
              "      <td>0.578370</td>\n",
              "      <td>0.688950</td>\n",
              "      <td>0.458720</td>\n",
              "      <td>0.65759</td>\n",
              "      <td>0.388910</td>\n",
              "      <td>0.765230</td>\n",
              "      <td>0.035984</td>\n",
              "      <td>0.34131</td>\n",
              "      <td>0.096688</td>\n",
              "      <td>0.216870</td>\n",
              "      <td>0.99170</td>\n",
              "      <td>0.65281</td>\n",
              "      <td>0.62536</td>\n",
              "      <td>0.39115</td>\n",
              "      <td>0.32478</td>\n",
              "      <td>0.88893</td>\n",
              "      <td>0.14474</td>\n",
              "      <td>0.576920</td>\n",
              "      <td>0.827370</td>\n",
              "      <td>0.921400</td>\n",
              "      <td>0.76356</td>\n",
              "      <td>0.00795</td>\n",
              "      <td>0.569030</td>\n",
              "      <td>0.93311</td>\n",
              "      <td>0.501910</td>\n",
              "      <td>0.36688</td>\n",
              "      <td>0.822460</td>\n",
              "      <td>0.498100</td>\n",
              "      <td>0.060471</td>\n",
              "      <td>1.8405</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9999</th>\n",
              "      <td>0.36578</td>\n",
              "      <td>0.028173</td>\n",
              "      <td>0.021793</td>\n",
              "      <td>0.593970</td>\n",
              "      <td>0.521400</td>\n",
              "      <td>0.47722</td>\n",
              "      <td>0.838550</td>\n",
              "      <td>0.267560</td>\n",
              "      <td>0.72664</td>\n",
              "      <td>0.302990</td>\n",
              "      <td>0.780710</td>\n",
              "      <td>0.99199</td>\n",
              "      <td>0.599960</td>\n",
              "      <td>0.716750</td>\n",
              "      <td>0.302040</td>\n",
              "      <td>0.476560</td>\n",
              "      <td>0.89491</td>\n",
              "      <td>0.67538</td>\n",
              "      <td>0.847070</td>\n",
              "      <td>0.240610</td>\n",
              "      <td>0.54073</td>\n",
              "      <td>0.503530</td>\n",
              "      <td>0.369590</td>\n",
              "      <td>0.34481</td>\n",
              "      <td>0.717550</td>\n",
              "      <td>0.229080</td>\n",
              "      <td>0.396580</td>\n",
              "      <td>0.769830</td>\n",
              "      <td>0.33769</td>\n",
              "      <td>0.69939</td>\n",
              "      <td>0.40768</td>\n",
              "      <td>0.386260</td>\n",
              "      <td>0.34583</td>\n",
              "      <td>0.906780</td>\n",
              "      <td>0.344160</td>\n",
              "      <td>0.151890</td>\n",
              "      <td>0.019284</td>\n",
              "      <td>0.30456</td>\n",
              "      <td>0.560980</td>\n",
              "      <td>0.49291</td>\n",
              "      <td>...</td>\n",
              "      <td>0.250020</td>\n",
              "      <td>0.096716</td>\n",
              "      <td>0.442570</td>\n",
              "      <td>0.082958</td>\n",
              "      <td>0.535140</td>\n",
              "      <td>0.73416</td>\n",
              "      <td>0.168720</td>\n",
              "      <td>0.461840</td>\n",
              "      <td>0.030693</td>\n",
              "      <td>0.69143</td>\n",
              "      <td>0.118030</td>\n",
              "      <td>0.650910</td>\n",
              "      <td>0.913670</td>\n",
              "      <td>0.58688</td>\n",
              "      <td>0.948100</td>\n",
              "      <td>0.332520</td>\n",
              "      <td>0.196040</td>\n",
              "      <td>0.38836</td>\n",
              "      <td>0.726260</td>\n",
              "      <td>0.256920</td>\n",
              "      <td>0.77191</td>\n",
              "      <td>0.87935</td>\n",
              "      <td>0.61604</td>\n",
              "      <td>0.94840</td>\n",
              "      <td>0.82958</td>\n",
              "      <td>0.34024</td>\n",
              "      <td>0.35860</td>\n",
              "      <td>0.735220</td>\n",
              "      <td>0.854490</td>\n",
              "      <td>0.622830</td>\n",
              "      <td>0.71442</td>\n",
              "      <td>0.21390</td>\n",
              "      <td>0.944010</td>\n",
              "      <td>0.60999</td>\n",
              "      <td>0.389610</td>\n",
              "      <td>0.92101</td>\n",
              "      <td>0.872690</td>\n",
              "      <td>0.015329</td>\n",
              "      <td>0.990260</td>\n",
              "      <td>2.7624</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>10000 rows × 101 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "          0         1         2    ...       98        99      100\n",
              "0     0.58351  0.379390  0.839750  ...  0.849480  0.923690  1.9741\n",
              "1     0.86622  0.451350  0.934790  ...  0.414190  0.830230  2.3354\n",
              "2     0.39142  0.919950  0.138730  ...  0.294790  0.542800  2.2053\n",
              "3     0.79553  0.278540  0.228900  ...  0.668010  0.345730  2.0400\n",
              "4     0.65223  0.966650  0.179850  ...  0.627920  0.979300  2.2053\n",
              "...       ...       ...       ...  ...       ...       ...     ...\n",
              "9995  0.13627  0.056966  0.229530  ...  0.335240  0.040619  3.0543\n",
              "9996  0.95662  0.141930  0.978510  ...  0.573740  0.110510  2.3255\n",
              "9997  0.89209  0.997530  0.880430  ...  0.331150  0.928750  2.0964\n",
              "9998  0.70381  0.422940  0.259230  ...  0.498100  0.060471  1.8405\n",
              "9999  0.36578  0.028173  0.021793  ...  0.015329  0.990260  2.7624\n",
              "\n",
              "[10000 rows x 101 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 2
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "resources": {
            "http://localhost:8080/nbextensions/google.colab/files.js": {
              "data": 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",
              "ok": true,
              "headers": [
                [
                  "content-type",
                  "application/javascript"
                ]
              ],
              "status": 200,
              "status_text": ""
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 73
        },
        "id": "GIRlrR-vZJWJ",
        "outputId": "4b3ddbb9-e523-4888-ea8d-ecd63568742d"
      },
      "source": [
        "uploaded=files.upload()"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "\n",
              "     <input type=\"file\" id=\"files-9a165725-2a5f-48e8-9c9d-cd2ccbcc348f\" name=\"files[]\" multiple disabled\n",
              "        style=\"border:none\" />\n",
              "     <output id=\"result-9a165725-2a5f-48e8-9c9d-cd2ccbcc348f\">\n",
              "      Upload widget is only available when the cell has been executed in the\n",
              "      current browser session. Please rerun this cell to enable.\n",
              "      </output>\n",
              "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Saving A2Q2Data_test.csv to A2Q2Data_test.csv\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "phsH8_-9ZNq2",
        "outputId": "235471cb-8953-42b9-c7f5-3fc941811295"
      },
      "source": [
        "df=data.values.tolist()\n",
        "Z=np.array(df)\n",
        "y=Z[:,-1]\n",
        "X=np.delete(Z, -1, axis=1)\n",
        "n,d=np.shape(X)\n",
        "print (n,d)"
      ],
      "execution_count": 134,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "10000 100\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "J4zLfVp_ZQu5"
      },
      "source": [
        "Wml=np.matmul(np.matmul(np.linalg.inv(np.matmul(X.T,X)),X.T),y)"
      ],
      "execution_count": 139,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "R-ybUV6RZUCV"
      },
      "source": [
        "W=np.random.random(100)\n",
        "result=[]"
      ],
      "execution_count": 140,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "E7gxsTEjZYGC"
      },
      "source": [
        "for t in range(1,10000):\n",
        "  step=1e-7\n",
        "  id=random.sample(range(0,n), 100)\n",
        "  Dy=np.row_stack([Z[id[i],:] for i in range(100)])\n",
        "  ym=Dy[:,-1]\n",
        "  D=np.delete(Dy, -1, axis=1)\n",
        "  grad=np.subtract(np.matmul(np.matmul(D.T,D),W),np.matmul(D.T,ym))\n",
        "  W=np.subtract(W,(grad*step))\n",
        "  diff=0\n",
        "  for i in range(d):\n",
        "    diff+=pow((W[i]-Wml[i]),2)\n",
        "  result.append(np.sqrt(diff))"
      ],
      "execution_count": 141,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 313
        },
        "id": "DHn5bBoxjgip",
        "outputId": "19fc0af5-c1aa-4f67-84cb-b5035a610d7f"
      },
      "source": [
        "plt.title('Distance from Wml Stochastic')\n",
        "plt.xlabel('Iterations')\n",
        "plt.ylabel('||Wt-Wml||2')\n",
        "plt.plot(result)"
      ],
      "execution_count": 143,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f64368b6898>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 143
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}