machinelearning

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softmaxRegression.ipynb (19877B)


      1 {
      2  "cells": [
      3   {
      4    "cell_type": "code",
      5    "execution_count": 20,
      6    "metadata": {},
      7    "outputs": [],
      8    "source": [
      9     "from sklearn.datasets import load_iris\n",
     10     "iris = load_iris(as_frame=True)"
     11    ]
     12   },
     13   {
     14    "cell_type": "code",
     15    "execution_count": 21,
     16    "metadata": {},
     17    "outputs": [],
     18    "source": [
     19     "X = iris.data[['petal width (cm)', 'petal width (cm)']].values\n",
     20     "y = iris['target']"
     21    ]
     22   },
     23   {
     24    "cell_type": "code",
     25    "execution_count": 22,
     26    "metadata": {},
     27    "outputs": [
     28     {
     29      "data": {
     30       "text/html": [
     31        "<style>#sk-container-id-3 {\n",
     32        "  /* Definition of color scheme common for light and dark mode */\n",
     33        "  --sklearn-color-text: black;\n",
     34        "  --sklearn-color-line: gray;\n",
     35        "  /* Definition of color scheme for unfitted estimators */\n",
     36        "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
     37        "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
     38        "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
     39        "  --sklearn-color-unfitted-level-3: chocolate;\n",
     40        "  /* Definition of color scheme for fitted estimators */\n",
     41        "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
     42        "  --sklearn-color-fitted-level-1: #d4ebff;\n",
     43        "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
     44        "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
     45        "\n",
     46        "  /* Specific color for light theme */\n",
     47        "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
     48        "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
     49        "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
     50        "  --sklearn-color-icon: #696969;\n",
     51        "\n",
     52        "  @media (prefers-color-scheme: dark) {\n",
     53        "    /* Redefinition of color scheme for dark theme */\n",
     54        "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
     55        "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
     56        "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
     57        "    --sklearn-color-icon: #878787;\n",
     58        "  }\n",
     59        "}\n",
     60        "\n",
     61        "#sk-container-id-3 {\n",
     62        "  color: var(--sklearn-color-text);\n",
     63        "}\n",
     64        "\n",
     65        "#sk-container-id-3 pre {\n",
     66        "  padding: 0;\n",
     67        "}\n",
     68        "\n",
     69        "#sk-container-id-3 input.sk-hidden--visually {\n",
     70        "  border: 0;\n",
     71        "  clip: rect(1px 1px 1px 1px);\n",
     72        "  clip: rect(1px, 1px, 1px, 1px);\n",
     73        "  height: 1px;\n",
     74        "  margin: -1px;\n",
     75        "  overflow: hidden;\n",
     76        "  padding: 0;\n",
     77        "  position: absolute;\n",
     78        "  width: 1px;\n",
     79        "}\n",
     80        "\n",
     81        "#sk-container-id-3 div.sk-dashed-wrapped {\n",
     82        "  border: 1px dashed var(--sklearn-color-line);\n",
     83        "  margin: 0 0.4em 0.5em 0.4em;\n",
     84        "  box-sizing: border-box;\n",
     85        "  padding-bottom: 0.4em;\n",
     86        "  background-color: var(--sklearn-color-background);\n",
     87        "}\n",
     88        "\n",
     89        "#sk-container-id-3 div.sk-container {\n",
     90        "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
     91        "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
     92        "     so we also need the `!important` here to be able to override the\n",
     93        "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
     94        "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
     95        "  display: inline-block !important;\n",
     96        "  position: relative;\n",
     97        "}\n",
     98        "\n",
     99        "#sk-container-id-3 div.sk-text-repr-fallback {\n",
    100        "  display: none;\n",
    101        "}\n",
    102        "\n",
    103        "div.sk-parallel-item,\n",
    104        "div.sk-serial,\n",
    105        "div.sk-item {\n",
    106        "  /* draw centered vertical line to link estimators */\n",
    107        "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
    108        "  background-size: 2px 100%;\n",
    109        "  background-repeat: no-repeat;\n",
    110        "  background-position: center center;\n",
    111        "}\n",
    112        "\n",
    113        "/* Parallel-specific style estimator block */\n",
    114        "\n",
    115        "#sk-container-id-3 div.sk-parallel-item::after {\n",
    116        "  content: \"\";\n",
    117        "  width: 100%;\n",
    118        "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
    119        "  flex-grow: 1;\n",
    120        "}\n",
    121        "\n",
    122        "#sk-container-id-3 div.sk-parallel {\n",
    123        "  display: flex;\n",
    124        "  align-items: stretch;\n",
    125        "  justify-content: center;\n",
    126        "  background-color: var(--sklearn-color-background);\n",
    127        "  position: relative;\n",
    128        "}\n",
    129        "\n",
    130        "#sk-container-id-3 div.sk-parallel-item {\n",
    131        "  display: flex;\n",
    132        "  flex-direction: column;\n",
    133        "}\n",
    134        "\n",
    135        "#sk-container-id-3 div.sk-parallel-item:first-child::after {\n",
    136        "  align-self: flex-end;\n",
    137        "  width: 50%;\n",
    138        "}\n",
    139        "\n",
    140        "#sk-container-id-3 div.sk-parallel-item:last-child::after {\n",
    141        "  align-self: flex-start;\n",
    142        "  width: 50%;\n",
    143        "}\n",
    144        "\n",
    145        "#sk-container-id-3 div.sk-parallel-item:only-child::after {\n",
    146        "  width: 0;\n",
    147        "}\n",
    148        "\n",
    149        "/* Serial-specific style estimator block */\n",
    150        "\n",
    151        "#sk-container-id-3 div.sk-serial {\n",
    152        "  display: flex;\n",
    153        "  flex-direction: column;\n",
    154        "  align-items: center;\n",
    155        "  background-color: var(--sklearn-color-background);\n",
    156        "  padding-right: 1em;\n",
    157        "  padding-left: 1em;\n",
    158        "}\n",
    159        "\n",
    160        "\n",
    161        "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
    162        "clickable and can be expanded/collapsed.\n",
    163        "- Pipeline and ColumnTransformer use this feature and define the default style\n",
    164        "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
    165        "*/\n",
    166        "\n",
    167        "/* Pipeline and ColumnTransformer style (default) */\n",
    168        "\n",
    169        "#sk-container-id-3 div.sk-toggleable {\n",
    170        "  /* Default theme specific background. It is overwritten whether we have a\n",
    171        "  specific estimator or a Pipeline/ColumnTransformer */\n",
    172        "  background-color: var(--sklearn-color-background);\n",
    173        "}\n",
    174        "\n",
    175        "/* Toggleable label */\n",
    176        "#sk-container-id-3 label.sk-toggleable__label {\n",
    177        "  cursor: pointer;\n",
    178        "  display: block;\n",
    179        "  width: 100%;\n",
    180        "  margin-bottom: 0;\n",
    181        "  padding: 0.5em;\n",
    182        "  box-sizing: border-box;\n",
    183        "  text-align: center;\n",
    184        "}\n",
    185        "\n",
    186        "#sk-container-id-3 label.sk-toggleable__label-arrow:before {\n",
    187        "  /* Arrow on the left of the label */\n",
    188        "  content: \"▸\";\n",
    189        "  float: left;\n",
    190        "  margin-right: 0.25em;\n",
    191        "  color: var(--sklearn-color-icon);\n",
    192        "}\n",
    193        "\n",
    194        "#sk-container-id-3 label.sk-toggleable__label-arrow:hover:before {\n",
    195        "  color: var(--sklearn-color-text);\n",
    196        "}\n",
    197        "\n",
    198        "/* Toggleable content - dropdown */\n",
    199        "\n",
    200        "#sk-container-id-3 div.sk-toggleable__content {\n",
    201        "  max-height: 0;\n",
    202        "  max-width: 0;\n",
    203        "  overflow: hidden;\n",
    204        "  text-align: left;\n",
    205        "  /* unfitted */\n",
    206        "  background-color: var(--sklearn-color-unfitted-level-0);\n",
    207        "}\n",
    208        "\n",
    209        "#sk-container-id-3 div.sk-toggleable__content.fitted {\n",
    210        "  /* fitted */\n",
    211        "  background-color: var(--sklearn-color-fitted-level-0);\n",
    212        "}\n",
    213        "\n",
    214        "#sk-container-id-3 div.sk-toggleable__content pre {\n",
    215        "  margin: 0.2em;\n",
    216        "  border-radius: 0.25em;\n",
    217        "  color: var(--sklearn-color-text);\n",
    218        "  /* unfitted */\n",
    219        "  background-color: var(--sklearn-color-unfitted-level-0);\n",
    220        "}\n",
    221        "\n",
    222        "#sk-container-id-3 div.sk-toggleable__content.fitted pre {\n",
    223        "  /* unfitted */\n",
    224        "  background-color: var(--sklearn-color-fitted-level-0);\n",
    225        "}\n",
    226        "\n",
    227        "#sk-container-id-3 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
    228        "  /* Expand drop-down */\n",
    229        "  max-height: 200px;\n",
    230        "  max-width: 100%;\n",
    231        "  overflow: auto;\n",
    232        "}\n",
    233        "\n",
    234        "#sk-container-id-3 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
    235        "  content: \"▾\";\n",
    236        "}\n",
    237        "\n",
    238        "/* Pipeline/ColumnTransformer-specific style */\n",
    239        "\n",
    240        "#sk-container-id-3 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
    241        "  color: var(--sklearn-color-text);\n",
    242        "  background-color: var(--sklearn-color-unfitted-level-2);\n",
    243        "}\n",
    244        "\n",
    245        "#sk-container-id-3 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
    246        "  background-color: var(--sklearn-color-fitted-level-2);\n",
    247        "}\n",
    248        "\n",
    249        "/* Estimator-specific style */\n",
    250        "\n",
    251        "/* Colorize estimator box */\n",
    252        "#sk-container-id-3 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
    253        "  /* unfitted */\n",
    254        "  background-color: var(--sklearn-color-unfitted-level-2);\n",
    255        "}\n",
    256        "\n",
    257        "#sk-container-id-3 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
    258        "  /* fitted */\n",
    259        "  background-color: var(--sklearn-color-fitted-level-2);\n",
    260        "}\n",
    261        "\n",
    262        "#sk-container-id-3 div.sk-label label.sk-toggleable__label,\n",
    263        "#sk-container-id-3 div.sk-label label {\n",
    264        "  /* The background is the default theme color */\n",
    265        "  color: var(--sklearn-color-text-on-default-background);\n",
    266        "}\n",
    267        "\n",
    268        "/* On hover, darken the color of the background */\n",
    269        "#sk-container-id-3 div.sk-label:hover label.sk-toggleable__label {\n",
    270        "  color: var(--sklearn-color-text);\n",
    271        "  background-color: var(--sklearn-color-unfitted-level-2);\n",
    272        "}\n",
    273        "\n",
    274        "/* Label box, darken color on hover, fitted */\n",
    275        "#sk-container-id-3 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
    276        "  color: var(--sklearn-color-text);\n",
    277        "  background-color: var(--sklearn-color-fitted-level-2);\n",
    278        "}\n",
    279        "\n",
    280        "/* Estimator label */\n",
    281        "\n",
    282        "#sk-container-id-3 div.sk-label label {\n",
    283        "  font-family: monospace;\n",
    284        "  font-weight: bold;\n",
    285        "  display: inline-block;\n",
    286        "  line-height: 1.2em;\n",
    287        "}\n",
    288        "\n",
    289        "#sk-container-id-3 div.sk-label-container {\n",
    290        "  text-align: center;\n",
    291        "}\n",
    292        "\n",
    293        "/* Estimator-specific */\n",
    294        "#sk-container-id-3 div.sk-estimator {\n",
    295        "  font-family: monospace;\n",
    296        "  border: 1px dotted var(--sklearn-color-border-box);\n",
    297        "  border-radius: 0.25em;\n",
    298        "  box-sizing: border-box;\n",
    299        "  margin-bottom: 0.5em;\n",
    300        "  /* unfitted */\n",
    301        "  background-color: var(--sklearn-color-unfitted-level-0);\n",
    302        "}\n",
    303        "\n",
    304        "#sk-container-id-3 div.sk-estimator.fitted {\n",
    305        "  /* fitted */\n",
    306        "  background-color: var(--sklearn-color-fitted-level-0);\n",
    307        "}\n",
    308        "\n",
    309        "/* on hover */\n",
    310        "#sk-container-id-3 div.sk-estimator:hover {\n",
    311        "  /* unfitted */\n",
    312        "  background-color: var(--sklearn-color-unfitted-level-2);\n",
    313        "}\n",
    314        "\n",
    315        "#sk-container-id-3 div.sk-estimator.fitted:hover {\n",
    316        "  /* fitted */\n",
    317        "  background-color: var(--sklearn-color-fitted-level-2);\n",
    318        "}\n",
    319        "\n",
    320        "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
    321        "\n",
    322        "/* Common style for \"i\" and \"?\" */\n",
    323        "\n",
    324        ".sk-estimator-doc-link,\n",
    325        "a:link.sk-estimator-doc-link,\n",
    326        "a:visited.sk-estimator-doc-link {\n",
    327        "  float: right;\n",
    328        "  font-size: smaller;\n",
    329        "  line-height: 1em;\n",
    330        "  font-family: monospace;\n",
    331        "  background-color: var(--sklearn-color-background);\n",
    332        "  border-radius: 1em;\n",
    333        "  height: 1em;\n",
    334        "  width: 1em;\n",
    335        "  text-decoration: none !important;\n",
    336        "  margin-left: 1ex;\n",
    337        "  /* unfitted */\n",
    338        "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
    339        "  color: var(--sklearn-color-unfitted-level-1);\n",
    340        "}\n",
    341        "\n",
    342        ".sk-estimator-doc-link.fitted,\n",
    343        "a:link.sk-estimator-doc-link.fitted,\n",
    344        "a:visited.sk-estimator-doc-link.fitted {\n",
    345        "  /* fitted */\n",
    346        "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
    347        "  color: var(--sklearn-color-fitted-level-1);\n",
    348        "}\n",
    349        "\n",
    350        "/* On hover */\n",
    351        "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
    352        ".sk-estimator-doc-link:hover,\n",
    353        "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
    354        ".sk-estimator-doc-link:hover {\n",
    355        "  /* unfitted */\n",
    356        "  background-color: var(--sklearn-color-unfitted-level-3);\n",
    357        "  color: var(--sklearn-color-background);\n",
    358        "  text-decoration: none;\n",
    359        "}\n",
    360        "\n",
    361        "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
    362        ".sk-estimator-doc-link.fitted:hover,\n",
    363        "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
    364        ".sk-estimator-doc-link.fitted:hover {\n",
    365        "  /* fitted */\n",
    366        "  background-color: var(--sklearn-color-fitted-level-3);\n",
    367        "  color: var(--sklearn-color-background);\n",
    368        "  text-decoration: none;\n",
    369        "}\n",
    370        "\n",
    371        "/* Span, style for the box shown on hovering the info icon */\n",
    372        ".sk-estimator-doc-link span {\n",
    373        "  display: none;\n",
    374        "  z-index: 9999;\n",
    375        "  position: relative;\n",
    376        "  font-weight: normal;\n",
    377        "  right: .2ex;\n",
    378        "  padding: .5ex;\n",
    379        "  margin: .5ex;\n",
    380        "  width: min-content;\n",
    381        "  min-width: 20ex;\n",
    382        "  max-width: 50ex;\n",
    383        "  color: var(--sklearn-color-text);\n",
    384        "  box-shadow: 2pt 2pt 4pt #999;\n",
    385        "  /* unfitted */\n",
    386        "  background: var(--sklearn-color-unfitted-level-0);\n",
    387        "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
    388        "}\n",
    389        "\n",
    390        ".sk-estimator-doc-link.fitted span {\n",
    391        "  /* fitted */\n",
    392        "  background: var(--sklearn-color-fitted-level-0);\n",
    393        "  border: var(--sklearn-color-fitted-level-3);\n",
    394        "}\n",
    395        "\n",
    396        ".sk-estimator-doc-link:hover span {\n",
    397        "  display: block;\n",
    398        "}\n",
    399        "\n",
    400        "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
    401        "\n",
    402        "#sk-container-id-3 a.estimator_doc_link {\n",
    403        "  float: right;\n",
    404        "  font-size: 1rem;\n",
    405        "  line-height: 1em;\n",
    406        "  font-family: monospace;\n",
    407        "  background-color: var(--sklearn-color-background);\n",
    408        "  border-radius: 1rem;\n",
    409        "  height: 1rem;\n",
    410        "  width: 1rem;\n",
    411        "  text-decoration: none;\n",
    412        "  /* unfitted */\n",
    413        "  color: var(--sklearn-color-unfitted-level-1);\n",
    414        "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
    415        "}\n",
    416        "\n",
    417        "#sk-container-id-3 a.estimator_doc_link.fitted {\n",
    418        "  /* fitted */\n",
    419        "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
    420        "  color: var(--sklearn-color-fitted-level-1);\n",
    421        "}\n",
    422        "\n",
    423        "/* On hover */\n",
    424        "#sk-container-id-3 a.estimator_doc_link:hover {\n",
    425        "  /* unfitted */\n",
    426        "  background-color: var(--sklearn-color-unfitted-level-3);\n",
    427        "  color: var(--sklearn-color-background);\n",
    428        "  text-decoration: none;\n",
    429        "}\n",
    430        "\n",
    431        "#sk-container-id-3 a.estimator_doc_link.fitted:hover {\n",
    432        "  /* fitted */\n",
    433        "  background-color: var(--sklearn-color-fitted-level-3);\n",
    434        "}\n",
    435        "</style><div id=\"sk-container-id-3\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LogisticRegression(C=30, random_state=10)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" checked><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow fitted\">&nbsp;&nbsp;LogisticRegression<a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.4/modules/generated/sklearn.linear_model.LogisticRegression.html\">?<span>Documentation for LogisticRegression</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></label><div class=\"sk-toggleable__content fitted\"><pre>LogisticRegression(C=30, random_state=10)</pre></div> </div></div></div></div>"
    436       ],
    437       "text/plain": [
    438        "LogisticRegression(C=30, random_state=10)"
    439       ]
    440      },
    441      "execution_count": 22,
    442      "metadata": {},
    443      "output_type": "execute_result"
    444     }
    445    ],
    446    "source": [
    447     "from sklearn.model_selection import train_test_split\n",
    448     "from sklearn.linear_model import LogisticRegression\n",
    449     "\n",
    450     "X_train,X_test, y_train,y_test = train_test_split(X,y,random_state=10)\n",
    451     "softmax_reg = LogisticRegression(C=30, random_state=10)\n",
    452     "softmax_reg.fit(X_train, y_train) "
    453    ]
    454   },
    455   {
    456    "cell_type": "code",
    457    "execution_count": 23,
    458    "metadata": {},
    459    "outputs": [
    460     {
    461      "data": {
    462       "text/plain": [
    463        "array([2])"
    464       ]
    465      },
    466      "execution_count": 23,
    467      "metadata": {},
    468      "output_type": "execute_result"
    469     }
    470    ],
    471    "source": [
    472     "softmax_reg.predict([[2.4,1]])"
    473    ]
    474   },
    475   {
    476    "cell_type": "code",
    477    "execution_count": 24,
    478    "metadata": {},
    479    "outputs": [
    480     {
    481      "data": {
    482       "text/plain": [
    483        "array([[0.  , 0.33, 0.67]])"
    484       ]
    485      },
    486      "execution_count": 24,
    487      "metadata": {},
    488      "output_type": "execute_result"
    489     }
    490    ],
    491    "source": [
    492     "softmax_reg.predict_proba([[2.4,1]]).round(2)"
    493    ]
    494   }
    495  ],
    496  "metadata": {
    497   "kernelspec": {
    498    "display_name": "notebook",
    499    "language": "python",
    500    "name": "notebook"
    501   },
    502   "language_info": {
    503    "codemirror_mode": {
    504     "name": "ipython",
    505     "version": 3
    506    },
    507    "file_extension": ".py",
    508    "mimetype": "text/x-python",
    509    "name": "python",
    510    "nbconvert_exporter": "python",
    511    "pygments_lexer": "ipython3",
    512    "version": "3.11.2"
    513   }
    514  },
    515  "nbformat": 4,
    516  "nbformat_minor": 2
    517 }