{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Regresión Logística" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Documentación en sklearn del método de [regresión logística](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LogisticRegression.html)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn import datasets\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import mlutils" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ejemplo basado en [este link](https://scikit-learn.org/stable/auto_examples/linear_model/plot_iris_logistic.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos a usar la base de datos de Iris para ver la regresión logística:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# import some data to play with\n", "iris = datasets.load_iris()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['DESCR',\n", " 'data',\n", " 'data_module',\n", " 'feature_names',\n", " 'filename',\n", " 'frame',\n", " 'target',\n", " 'target_names']" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dir(iris)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".. _iris_dataset:\n", "\n", "Iris plants dataset\n", "--------------------\n", "\n", "**Data Set Characteristics:**\n", "\n", " :Number of Instances: 150 (50 in each of three classes)\n", " :Number of Attributes: 4 numeric, predictive attributes and the class\n", " :Attribute Information:\n", " - sepal length in cm\n", " - sepal width in cm\n", " - petal length in cm\n", " - petal width in cm\n", " - class:\n", " - Iris-Setosa\n", " - Iris-Versicolour\n", " - Iris-Virginica\n", " \n", " :Summary Statistics:\n", "\n", " ============== ==== ==== ======= ===== ====================\n", " Min Max Mean SD Class Correlation\n", " ============== ==== ==== ======= ===== ====================\n", " sepal length: 4.3 7.9 5.84 0.83 0.7826\n", " sepal width: 2.0 4.4 3.05 0.43 -0.4194\n", " petal length: 1.0 6.9 3.76 1.76 0.9490 (high!)\n", " petal width: 0.1 2.5 1.20 0.76 0.9565 (high!)\n", " ============== ==== ==== ======= ===== ====================\n", "\n", " :Missing Attribute Values: None\n", " :Class Distribution: 33.3% for each of 3 classes.\n", " :Creator: R.A. Fisher\n", " :Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov)\n", " :Date: July, 1988\n", "\n", "The famous Iris database, first used by Sir R.A. Fisher. The dataset is taken\n", "from Fisher's paper. Note that it's the same as in R, but not as in the UCI\n", "Machine Learning Repository, which has two wrong data points.\n", "\n", "This is perhaps the best known database to be found in the\n", "pattern recognition literature. Fisher's paper is a classic in the field and\n", "is referenced frequently to this day. (See Duda & Hart, for example.) The\n", "data set contains 3 classes of 50 instances each, where each class refers to a\n", "type of iris plant. One class is linearly separable from the other 2; the\n", "latter are NOT linearly separable from each other.\n", "\n", ".. topic:: References\n", "\n", " - Fisher, R.A. \"The use of multiple measurements in taxonomic problems\"\n", " Annual Eugenics, 7, Part II, 179-188 (1936); also in \"Contributions to\n", " Mathematical Statistics\" (John Wiley, NY, 1950).\n", " - Duda, R.O., & Hart, P.E. (1973) Pattern Classification and Scene Analysis.\n", " (Q327.D83) John Wiley & Sons. ISBN 0-471-22361-1. See page 218.\n", " - Dasarathy, B.V. (1980) \"Nosing Around the Neighborhood: A New System\n", " Structure and Classification Rule for Recognition in Partially Exposed\n", " Environments\". IEEE Transactions on Pattern Analysis and Machine\n", " Intelligence, Vol. PAMI-2, No. 1, 67-71.\n", " - Gates, G.W. (1972) \"The Reduced Nearest Neighbor Rule\". IEEE Transactions\n", " on Information Theory, May 1972, 431-433.\n", " - See also: 1988 MLC Proceedings, 54-64. Cheeseman et al\"s AUTOCLASS II\n", " conceptual clustering system finds 3 classes in the data.\n", " - Many, many more ...\n" ] } ], "source": [ "print(iris.DESCR)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df = pd.DataFrame(iris.data,columns=iris.feature_names)\n", "df['target'] = iris.target\n", "sns.pairplot(df,hue='target')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reduzcamos la base de datos para facilitar la comprensión de lo que estamos haciendo" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "X = iris.data[:, :2] # we only take the first two features.\n", "# sepal length, sepal width\n", "y = iris.target\n", "X = X[y<2] # we only take two classes\n", "y = y[y<2] # we only take two classes\n", "# setosa y versicolor" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def plot_decision_boundary(X, y, regression):\n", " # Plot the decision boundary. For that, we will assign a color to each\n", " # point in the mesh [x_min, x_max]x[y_min, y_max].\n", " x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n", " y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n", " h = .02 # step size in the mesh\n", " xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n", " Z = regression.predict(np.c_[xx.ravel(), yy.ravel()])\n", "\n", " # Put the result into a color plot\n", " Z = Z.reshape(xx.shape)\n", " plt.figure(1, figsize=(4, 3))\n", " plt.pcolormesh(xx, yy, Z, cmap=plt.cm.Paired)\n", "\n", " # Plot also the training points\n", " plt.scatter(X[:, 0], X[:, 1], c=y, edgecolors='k', cmap=plt.cm.Paired)\n", " plt.xlabel('Sepal length')\n", " plt.ylabel('Sepal width')\n", "\n", " plt.xlim(xx.min(), xx.max())\n", " plt.ylim(yy.min(), yy.max())\n", " plt.xticks(())\n", " plt.yticks(())\n", "\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Probemos diferentes argumentos del método *LogisticRegression* para ver qué pasa..." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[1;31mInit signature:\u001b[0m\n", "\u001b[0mLogisticRegression\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mpenalty\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'l2'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[1;33m*\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mdual\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mFalse\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mtol\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0.0001\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mC\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1.0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mfit_intercept\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mTrue\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mintercept_scaling\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mclass_weight\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mrandom_state\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0msolver\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'lbfgs'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mmax_iter\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mmulti_class\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'auto'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mverbose\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mwarm_start\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mFalse\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mn_jobs\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0ml1_ratio\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mDocstring:\u001b[0m \n", "Logistic Regression (aka logit, MaxEnt) classifier.\n", "\n", "In the multiclass case, the training algorithm uses the one-vs-rest (OvR)\n", "scheme if the 'multi_class' option is set to 'ovr', and uses the\n", "cross-entropy loss if the 'multi_class' option is set to 'multinomial'.\n", "(Currently the 'multinomial' option is supported only by the 'lbfgs',\n", "'sag', 'saga' and 'newton-cg' solvers.)\n", "\n", "This class implements regularized logistic regression using the\n", "'liblinear' library, 'newton-cg', 'sag', 'saga' and 'lbfgs' solvers. **Note\n", "that regularization is applied by default**. It can handle both dense\n", "and sparse input. Use C-ordered arrays or CSR matrices containing 64-bit\n", "floats for optimal performance; any other input format will be converted\n", "(and copied).\n", "\n", "The 'newton-cg', 'sag', and 'lbfgs' solvers support only L2 regularization\n", "with primal formulation, or no regularization. The 'liblinear' solver\n", "supports both L1 and L2 regularization, with a dual formulation only for\n", "the L2 penalty. The Elastic-Net regularization is only supported by the\n", "'saga' solver.\n", "\n", "Read more in the :ref:`User Guide `.\n", "\n", "Parameters\n", "----------\n", "penalty : {'l1', 'l2', 'elasticnet', 'none'}, default='l2'\n", " Specify the norm of the penalty:\n", "\n", " - `'none'`: no penalty is added;\n", " - `'l2'`: add a L2 penalty term and it is the default choice;\n", " - `'l1'`: add a L1 penalty term;\n", " - `'elasticnet'`: both L1 and L2 penalty terms are added.\n", "\n", " .. warning::\n", " Some penalties may not work with some solvers. See the parameter\n", " `solver` below, to know the compatibility between the penalty and\n", " solver.\n", "\n", " .. versionadded:: 0.19\n", " l1 penalty with SAGA solver (allowing 'multinomial' + L1)\n", "\n", "dual : bool, default=False\n", " Dual or primal formulation. Dual formulation is only implemented for\n", " l2 penalty with liblinear solver. Prefer dual=False when\n", " n_samples > n_features.\n", "\n", "tol : float, default=1e-4\n", " Tolerance for stopping criteria.\n", "\n", "C : float, default=1.0\n", " Inverse of regularization strength; must be a positive float.\n", " Like in support vector machines, smaller values specify stronger\n", " regularization.\n", "\n", "fit_intercept : bool, default=True\n", " Specifies if a constant (a.k.a. bias or intercept) should be\n", " added to the decision function.\n", "\n", "intercept_scaling : float, default=1\n", " Useful only when the solver 'liblinear' is used\n", " and self.fit_intercept is set to True. In this case, x becomes\n", " [x, self.intercept_scaling],\n", " i.e. a \"synthetic\" feature with constant value equal to\n", " intercept_scaling is appended to the instance vector.\n", " The intercept becomes ``intercept_scaling * synthetic_feature_weight``.\n", "\n", " Note! the synthetic feature weight is subject to l1/l2 regularization\n", " as all other features.\n", " To lessen the effect of regularization on synthetic feature weight\n", " (and therefore on the intercept) intercept_scaling has to be increased.\n", "\n", "class_weight : dict or 'balanced', default=None\n", " Weights associated with classes in the form ``{class_label: weight}``.\n", " If not given, all classes are supposed to have weight one.\n", "\n", " The \"balanced\" mode uses the values of y to automatically adjust\n", " weights inversely proportional to class frequencies in the input data\n", " as ``n_samples / (n_classes * np.bincount(y))``.\n", "\n", " Note that these weights will be multiplied with sample_weight (passed\n", " through the fit method) if sample_weight is specified.\n", "\n", " .. versionadded:: 0.17\n", " *class_weight='balanced'*\n", "\n", "random_state : int, RandomState instance, default=None\n", " Used when ``solver`` == 'sag', 'saga' or 'liblinear' to shuffle the\n", " data. See :term:`Glossary ` for details.\n", "\n", "solver : {'newton-cg', 'lbfgs', 'liblinear', 'sag', 'saga'}, default='lbfgs'\n", "\n", " Algorithm to use in the optimization problem. Default is 'lbfgs'.\n", " To choose a solver, you might want to consider the following aspects:\n", "\n", " - For small datasets, 'liblinear' is a good choice, whereas 'sag'\n", " and 'saga' are faster for large ones;\n", " - For multiclass problems, only 'newton-cg', 'sag', 'saga' and\n", " 'lbfgs' handle multinomial loss;\n", " - 'liblinear' is limited to one-versus-rest schemes.\n", "\n", " .. warning::\n", " The choice of the algorithm depends on the penalty chosen:\n", " Supported penalties by solver:\n", "\n", " - 'newton-cg' - ['l2', 'none']\n", " - 'lbfgs' - ['l2', 'none']\n", " - 'liblinear' - ['l1', 'l2']\n", " - 'sag' - ['l2', 'none']\n", " - 'saga' - ['elasticnet', 'l1', 'l2', 'none']\n", "\n", " .. note::\n", " 'sag' and 'saga' fast convergence is only guaranteed on\n", " features with approximately the same scale. You can\n", " preprocess the data with a scaler from :mod:`sklearn.preprocessing`.\n", "\n", " .. seealso::\n", " Refer to the User Guide for more information regarding\n", " :class:`LogisticRegression` and more specifically the\n", " `Table `_\n", " summarazing solver/penalty supports.\n", "\n", " .. versionadded:: 0.17\n", " Stochastic Average Gradient descent solver.\n", " .. versionadded:: 0.19\n", " SAGA solver.\n", " .. versionchanged:: 0.22\n", " The default solver changed from 'liblinear' to 'lbfgs' in 0.22.\n", "\n", "max_iter : int, default=100\n", " Maximum number of iterations taken for the solvers to converge.\n", "\n", "multi_class : {'auto', 'ovr', 'multinomial'}, default='auto'\n", " If the option chosen is 'ovr', then a binary problem is fit for each\n", " label. For 'multinomial' the loss minimised is the multinomial loss fit\n", " across the entire probability distribution, *even when the data is\n", " binary*. 'multinomial' is unavailable when solver='liblinear'.\n", " 'auto' selects 'ovr' if the data is binary, or if solver='liblinear',\n", " and otherwise selects 'multinomial'.\n", "\n", " .. versionadded:: 0.18\n", " Stochastic Average Gradient descent solver for 'multinomial' case.\n", " .. versionchanged:: 0.22\n", " Default changed from 'ovr' to 'auto' in 0.22.\n", "\n", "verbose : int, default=0\n", " For the liblinear and lbfgs solvers set verbose to any positive\n", " number for verbosity.\n", "\n", "warm_start : bool, default=False\n", " When set to True, reuse the solution of the previous call to fit as\n", " initialization, otherwise, just erase the previous solution.\n", " Useless for liblinear solver. See :term:`the Glossary `.\n", "\n", " .. versionadded:: 0.17\n", " *warm_start* to support *lbfgs*, *newton-cg*, *sag*, *saga* solvers.\n", "\n", "n_jobs : int, default=None\n", " Number of CPU cores used when parallelizing over classes if\n", " multi_class='ovr'\". This parameter is ignored when the ``solver`` is\n", " set to 'liblinear' regardless of whether 'multi_class' is specified or\n", " not. ``None`` means 1 unless in a :obj:`joblib.parallel_backend`\n", " context. ``-1`` means using all processors.\n", " See :term:`Glossary ` for more details.\n", "\n", "l1_ratio : float, default=None\n", " The Elastic-Net mixing parameter, with ``0 <= l1_ratio <= 1``. Only\n", " used if ``penalty='elasticnet'``. Setting ``l1_ratio=0`` is equivalent\n", " to using ``penalty='l2'``, while setting ``l1_ratio=1`` is equivalent\n", " to using ``penalty='l1'``. For ``0 < l1_ratio <1``, the penalty is a\n", " combination of L1 and L2.\n", "\n", "Attributes\n", "----------\n", "\n", "classes_ : ndarray of shape (n_classes, )\n", " A list of class labels known to the classifier.\n", "\n", "coef_ : ndarray of shape (1, n_features) or (n_classes, n_features)\n", " Coefficient of the features in the decision function.\n", "\n", " `coef_` is of shape (1, n_features) when the given problem is binary.\n", " In particular, when `multi_class='multinomial'`, `coef_` corresponds\n", " to outcome 1 (True) and `-coef_` corresponds to outcome 0 (False).\n", "\n", "intercept_ : ndarray of shape (1,) or (n_classes,)\n", " Intercept (a.k.a. bias) added to the decision function.\n", "\n", " If `fit_intercept` is set to False, the intercept is set to zero.\n", " `intercept_` is of shape (1,) when the given problem is binary.\n", " In particular, when `multi_class='multinomial'`, `intercept_`\n", " corresponds to outcome 1 (True) and `-intercept_` corresponds to\n", " outcome 0 (False).\n", "\n", "n_features_in_ : int\n", " Number of features seen during :term:`fit`.\n", "\n", " .. versionadded:: 0.24\n", "\n", "feature_names_in_ : ndarray of shape (`n_features_in_`,)\n", " Names of features seen during :term:`fit`. Defined only when `X`\n", " has feature names that are all strings.\n", "\n", " .. versionadded:: 1.0\n", "\n", "n_iter_ : ndarray of shape (n_classes,) or (1, )\n", " Actual number of iterations for all classes. If binary or multinomial,\n", " it returns only 1 element. For liblinear solver, only the maximum\n", " number of iteration across all classes is given.\n", "\n", " .. versionchanged:: 0.20\n", "\n", " In SciPy <= 1.0.0 the number of lbfgs iterations may exceed\n", " ``max_iter``. ``n_iter_`` will now report at most ``max_iter``.\n", "\n", "See Also\n", "--------\n", "SGDClassifier : Incrementally trained logistic regression (when given\n", " the parameter ``loss=\"log\"``).\n", "LogisticRegressionCV : Logistic regression with built-in cross validation.\n", "\n", "Notes\n", "-----\n", "The underlying C implementation uses a random number generator to\n", "select features when fitting the model. It is thus not uncommon,\n", "to have slightly different results for the same input data. If\n", "that happens, try with a smaller tol parameter.\n", "\n", "Predict output may not match that of standalone liblinear in certain\n", "cases. See :ref:`differences from liblinear `\n", "in the narrative documentation.\n", "\n", "References\n", "----------\n", "\n", "L-BFGS-B -- Software for Large-scale Bound-constrained Optimization\n", " Ciyou Zhu, Richard Byrd, Jorge Nocedal and Jose Luis Morales.\n", " http://users.iems.northwestern.edu/~nocedal/lbfgsb.html\n", "\n", "LIBLINEAR -- A Library for Large Linear Classification\n", " https://www.csie.ntu.edu.tw/~cjlin/liblinear/\n", "\n", "SAG -- Mark Schmidt, Nicolas Le Roux, and Francis Bach\n", " Minimizing Finite Sums with the Stochastic Average Gradient\n", " https://hal.inria.fr/hal-00860051/document\n", "\n", "SAGA -- Defazio, A., Bach F. & Lacoste-Julien S. (2014).\n", " :arxiv:`\"SAGA: A Fast Incremental Gradient Method With Support\n", " for Non-Strongly Convex Composite Objectives\" <1407.0202>`\n", "\n", "Hsiang-Fu Yu, Fang-Lan Huang, Chih-Jen Lin (2011). Dual coordinate descent\n", " methods for logistic regression and maximum entropy models.\n", " Machine Learning 85(1-2):41-75.\n", " https://www.csie.ntu.edu.tw/~cjlin/papers/maxent_dual.pdf\n", "\n", "Examples\n", "--------\n", ">>> from sklearn.datasets import load_iris\n", ">>> from sklearn.linear_model import LogisticRegression\n", ">>> X, y = load_iris(return_X_y=True)\n", ">>> clf = LogisticRegression(random_state=0).fit(X, y)\n", ">>> clf.predict(X[:2, :])\n", "array([0, 0])\n", ">>> clf.predict_proba(X[:2, :])\n", "array([[9.8...e-01, 1.8...e-02, 1.4...e-08],\n", " [9.7...e-01, 2.8...e-02, ...e-08]])\n", ">>> clf.score(X, y)\n", "0.97...\n", "\u001b[1;31mFile:\u001b[0m c:\\anaconda3\\envs\\diplodatos\\lib\\site-packages\\sklearn\\linear_model\\_logistic.py\n", "\u001b[1;31mType:\u001b[0m type\n", "\u001b[1;31mSubclasses:\u001b[0m LogisticRegressionCV\n" ] } ], "source": [ "LogisticRegression?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create an instance of Logistic Regression Classifier\n", "logreg = LogisticRegression(C=1e+3, solver='liblinear', max_iter=2).fit(X, y)\n", "plot_decision_boundary(X, y, logreg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Algo de información acerca de los [solvers](https://stackoverflow.com/questions/38640109/logistic-regression-python-solvers-definitions) o métodos de optimización que utiliza scikit-learn para encontrar un mínimo." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# update the number of iterations\n", "logreg = LogisticRegression(C=1e+3, solver='liblinear', max_iter=20).fit(X, y)\n", "plot_decision_boundary(X, y, logreg)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# update the number of iterations\n", "logreg = LogisticRegression(C=1e+3, solver='liblinear', max_iter=20, penalty='l1').fit(X, y)\n", "plot_decision_boundary(X, y, logreg)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "logreg = LogisticRegression(C=1e+8, solver='saga', max_iter=20, penalty='elasticnet',l1_ratio=0.7).fit(X, y)\n", "plot_decision_boundary(X, y, logreg)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.13 ('diplodatos')", "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": "3.9.13" }, "vscode": { "interpreter": { "hash": "e6b65fc4380ac725e50a330b268a227bbdbe91bddfffbf68e5f7ce9848a2b8d5" } } }, "nbformat": 4, "nbformat_minor": 4 }