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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___\n",
"\n",
"<a href='https://www.udemy.com/user/joseportilla/'><img src='../Pierian_Data_Logo.png'/></a>\n",
"___\n",
"<center><em>Copyright by Pierian Data Inc.</em></center>\n",
"<center><em>For more information, visit us at <a href='http://www.pieriandata.com'>www.pieriandata.com</a></em></center>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exploring Support Vector Machines\n",
"\n",
"**NOTE: For this example, we will explore the algorithm, so we'll skip scaling and also skip a train\\test split and instead see how the various parameters can change an SVM (easiest to visualize the effects in classification)**\n",
"\n",
"[Link to a great Paper on SVM](http://citeseerx.ist.psu.edu/viewdoc/download;jsessionid=4448154647BC7B10C991CEF2236BBA38?doi=10.1.1.114.4288&rep=rep1&type=pdf)\n",
"* A tutorial on support vector regression by ALEX J. SMOLA and BERNHARD SCHOLKOPF\n",
"\n",
"## SVM - Classification"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data\n",
"\n",
"The data shown here simulates a medical study in which mice infected with a virus were given various doses of two medicines and then checked 2 weeks later to see if they were still infected. Given this data, our goal is to create a classifcation model than predict (given two dosage measurements) if they mouse will still be infected with the virus.\n",
"\n",
"You will notice the groups are very separable, this is on purpose, to explore how the various parameters of an SVM model behave."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv(\"../DATA/mouse_viral_study.csv\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Med_1_mL</th>\n",
" <th>Med_2_mL</th>\n",
" <th>Virus Present</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>6.508231</td>\n",
" <td>8.582531</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>4.126116</td>\n",
" <td>3.073459</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>6.427870</td>\n",
" <td>6.369758</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>3.672953</td>\n",
" <td>4.905215</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1.580321</td>\n",
" <td>2.440562</td>\n",
" <td>1</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Med_1_mL Med_2_mL Virus Present\n",
"0 6.508231 8.582531 0\n",
"1 4.126116 3.073459 1\n",
"2 6.427870 6.369758 0\n",
"3 3.672953 4.905215 1\n",
"4 1.580321 2.440562 1"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['Med_1_mL', 'Med_2_mL', 'Virus Present'], dtype='object')"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.columns"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Classes"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='Med_1_mL', ylabel='Med_2_mL'>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x='Med_1_mL',y='Med_2_mL',hue='Virus Present',\n",
" data=df,palette='seismic')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Separating Hyperplane\n",
"\n",
"Our goal with SVM is to create the best separating hyperplane. In 2 dimensions, this is simply a line."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1dab706f208>]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x='Med_1_mL',y='Med_2_mL',hue='Virus Present',palette='seismic',data=df)\n",
"\n",
"# We want to somehow automatically create a separating hyperplane ( a line in 2D)\n",
"\n",
"x = np.linspace(0,10,100)\n",
"m = -1\n",
"b = 11\n",
"y = m*x + b\n",
"plt.plot(x,y,'k')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## SVM - Support Vector Machine"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.svm import SVC # Supprt Vector Classifier"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help on class SVC in module sklearn.svm._classes:\n",
"\n",
"class SVC(sklearn.svm._base.BaseSVC)\n",
" | SVC(*, C=1.0, kernel='rbf', degree=3, gamma='scale', coef0=0.0, shrinking=True, probability=False, tol=0.001, cache_size=200, class_weight=None, verbose=False, max_iter=-1, decision_function_shape='ovr', break_ties=False, random_state=None)\n",
" | \n",
" | C-Support Vector Classification.\n",
" | \n",
" | The implementation is based on libsvm. The fit time scales at least\n",
" | quadratically with the number of samples and may be impractical\n",
" | beyond tens of thousands of samples. For large datasets\n",
" | consider using :class:`sklearn.svm.LinearSVC` or\n",
" | :class:`sklearn.linear_model.SGDClassifier` instead, possibly after a\n",
" | :class:`sklearn.kernel_approximation.Nystroem` transformer.\n",
" | \n",
" | The multiclass support is handled according to a one-vs-one scheme.\n",
" | \n",
" | For details on the precise mathematical formulation of the provided\n",
" | kernel functions and how `gamma`, `coef0` and `degree` affect each\n",
" | other, see the corresponding section in the narrative documentation:\n",
" | :ref:`svm_kernels`.\n",
" | \n",
" | Read more in the :ref:`User Guide <svm_classification>`.\n",
" | \n",
" | Parameters\n",
" | ----------\n",
" | C : float, default=1.0\n",
" | Regularization parameter. The strength of the regularization is\n",
" | inversely proportional to C. Must be strictly positive. The penalty\n",
" | is a squared l2 penalty.\n",
" | \n",
" | kernel : {'linear', 'poly', 'rbf', 'sigmoid', 'precomputed'}, default='rbf'\n",
" | Specifies the kernel type to be used in the algorithm.\n",
" | It must be one of 'linear', 'poly', 'rbf', 'sigmoid', 'precomputed' or\n",
" | a callable.\n",
" | If none is given, 'rbf' will be used. If a callable is given it is\n",
" | used to pre-compute the kernel matrix from data matrices; that matrix\n",
" | should be an array of shape ``(n_samples, n_samples)``.\n",
" | \n",
" | degree : int, default=3\n",
" | Degree of the polynomial kernel function ('poly').\n",
" | Ignored by all other kernels.\n",
" | \n",
" | gamma : {'scale', 'auto'} or float, default='scale'\n",
" | Kernel coefficient for 'rbf', 'poly' and 'sigmoid'.\n",
" | \n",
" | - if ``gamma='scale'`` (default) is passed then it uses\n",
" | 1 / (n_features * X.var()) as value of gamma,\n",
" | - if 'auto', uses 1 / n_features.\n",
" | \n",
" | .. versionchanged:: 0.22\n",
" | The default value of ``gamma`` changed from 'auto' to 'scale'.\n",
" | \n",
" | coef0 : float, default=0.0\n",
" | Independent term in kernel function.\n",
" | It is only significant in 'poly' and 'sigmoid'.\n",
" | \n",
" | shrinking : bool, default=True\n",
" | Whether to use the shrinking heuristic.\n",
" | See the :ref:`User Guide <shrinking_svm>`.\n",
" | \n",
" | probability : bool, default=False\n",
" | Whether to enable probability estimates. This must be enabled prior\n",
" | to calling `fit`, will slow down that method as it internally uses\n",
" | 5-fold cross-validation, and `predict_proba` may be inconsistent with\n",
" | `predict`. Read more in the :ref:`User Guide <scores_probabilities>`.\n",
" | \n",
" | tol : float, default=1e-3\n",
" | Tolerance for stopping criterion.\n",
" | \n",
" | cache_size : float, default=200\n",
" | Specify the size of the kernel cache (in MB).\n",
" | \n",
" | class_weight : dict or 'balanced', default=None\n",
" | Set the parameter C of class i to class_weight[i]*C for\n",
" | SVC. If not given, all classes are supposed to have\n",
" | weight one.\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",
" | verbose : bool, default=False\n",
" | Enable verbose output. Note that this setting takes advantage of a\n",
" | per-process runtime setting in libsvm that, if enabled, may not work\n",
" | properly in a multithreaded context.\n",
" | \n",
" | max_iter : int, default=-1\n",
" | Hard limit on iterations within solver, or -1 for no limit.\n",
" | \n",
" | decision_function_shape : {'ovo', 'ovr'}, default='ovr'\n",
" | Whether to return a one-vs-rest ('ovr') decision function of shape\n",
" | (n_samples, n_classes) as all other classifiers, or the original\n",
" | one-vs-one ('ovo') decision function of libsvm which has shape\n",
" | (n_samples, n_classes * (n_classes - 1) / 2). However, one-vs-one\n",
" | ('ovo') is always used as multi-class strategy. The parameter is\n",
" | ignored for binary classification.\n",
" | \n",
" | .. versionchanged:: 0.19\n",
" | decision_function_shape is 'ovr' by default.\n",
" | \n",
" | .. versionadded:: 0.17\n",
" | *decision_function_shape='ovr'* is recommended.\n",
" | \n",
" | .. versionchanged:: 0.17\n",
" | Deprecated *decision_function_shape='ovo' and None*.\n",
" | \n",
" | break_ties : bool, default=False\n",
" | If true, ``decision_function_shape='ovr'``, and number of classes > 2,\n",
" | :term:`predict` will break ties according to the confidence values of\n",
" | :term:`decision_function`; otherwise the first class among the tied\n",
" | classes is returned. Please note that breaking ties comes at a\n",
" | relatively high computational cost compared to a simple predict.\n",
" | \n",
" | .. versionadded:: 0.22\n",
" | \n",
" | random_state : int or RandomState instance, default=None\n",
" | Controls the pseudo random number generation for shuffling the data for\n",
" | probability estimates. Ignored when `probability` is False.\n",
" | Pass an int for reproducible output across multiple function calls.\n",
" | See :term:`Glossary <random_state>`.\n",
" | \n",
" | Attributes\n",
" | ----------\n",
" | support_ : ndarray of shape (n_SV,)\n",
" | Indices of support vectors.\n",
" | \n",
" | support_vectors_ : ndarray of shape (n_SV, n_features)\n",
" | Support vectors.\n",
" | \n",
" | n_support_ : ndarray of shape (n_class,), dtype=int32\n",
" | Number of support vectors for each class.\n",
" | \n",
" | dual_coef_ : ndarray of shape (n_class-1, n_SV)\n",
" | Dual coefficients of the support vector in the decision\n",
" | function (see :ref:`sgd_mathematical_formulation`), multiplied by\n",
" | their targets.\n",
" | For multiclass, coefficient for all 1-vs-1 classifiers.\n",
" | The layout of the coefficients in the multiclass case is somewhat\n",
" | non-trivial. See the :ref:`multi-class section of the User Guide\n",
" | <svm_multi_class>` for details.\n",
" | \n",
" | coef_ : ndarray of shape (n_class * (n_class-1) / 2, n_features)\n",
" | Weights assigned to the features (coefficients in the primal\n",
" | problem). This is only available in the case of a linear kernel.\n",
" | \n",
" | `coef_` is a readonly property derived from `dual_coef_` and\n",
" | `support_vectors_`.\n",
" | \n",
" | intercept_ : ndarray of shape (n_class * (n_class-1) / 2,)\n",
" | Constants in decision function.\n",
" | \n",
" | fit_status_ : int\n",
" | 0 if correctly fitted, 1 otherwise (will raise warning)\n",
" | \n",
" | classes_ : ndarray of shape (n_classes,)\n",
" | The classes labels.\n",
" | \n",
" | probA_ : ndarray of shape (n_class * (n_class-1) / 2)\n",
" | probB_ : ndarray of shape (n_class * (n_class-1) / 2)\n",
" | If `probability=True`, it corresponds to the parameters learned in\n",
" | Platt scaling to produce probability estimates from decision values.\n",
" | If `probability=False`, it's an empty array. Platt scaling uses the\n",
" | logistic function\n",
" | ``1 / (1 + exp(decision_value * probA_ + probB_))``\n",
" | where ``probA_`` and ``probB_`` are learned from the dataset [2]_. For\n",
" | more information on the multiclass case and training procedure see\n",
" | section 8 of [1]_.\n",
" | \n",
" | class_weight_ : ndarray of shape (n_class,)\n",
" | Multipliers of parameter C for each class.\n",
" | Computed based on the ``class_weight`` parameter.\n",
" | \n",
" | shape_fit_ : tuple of int of shape (n_dimensions_of_X,)\n",
" | Array dimensions of training vector ``X``.\n",
" | \n",
" | Examples\n",
" | --------\n",
" | >>> import numpy as np\n",
" | >>> from sklearn.pipeline import make_pipeline\n",
" | >>> from sklearn.preprocessing import StandardScaler\n",
" | >>> X = np.array([[-1, -1], [-2, -1], [1, 1], [2, 1]])\n",
" | >>> y = np.array([1, 1, 2, 2])\n",
" | >>> from sklearn.svm import SVC\n",
" | >>> clf = make_pipeline(StandardScaler(), SVC(gamma='auto'))\n",
" | >>> clf.fit(X, y)\n",
" | Pipeline(steps=[('standardscaler', StandardScaler()),\n",
" | ('svc', SVC(gamma='auto'))])\n",
" | \n",
" | >>> print(clf.predict([[-0.8, -1]]))\n",
" | [1]\n",
" | \n",
" | See also\n",
" | --------\n",
" | SVR\n",
" | Support Vector Machine for Regression implemented using libsvm.\n",
" | \n",
" | LinearSVC\n",
" | Scalable Linear Support Vector Machine for classification\n",
" | implemented using liblinear. Check the See also section of\n",
" | LinearSVC for more comparison element.\n",
" | \n",
" | References\n",
" | ----------\n",
" | .. [1] `LIBSVM: A Library for Support Vector Machines\n",
" | <http://www.csie.ntu.edu.tw/~cjlin/papers/libsvm.pdf>`_\n",
" | \n",
" | .. [2] `Platt, John (1999). \"Probabilistic outputs for support vector\n",
" | machines and comparison to regularizedlikelihood methods.\"\n",
" | <http://citeseer.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.1639>`_\n",
" | \n",
" | Method resolution order:\n",
" | SVC\n",
" | sklearn.svm._base.BaseSVC\n",
" | sklearn.base.ClassifierMixin\n",
" | sklearn.svm._base.BaseLibSVM\n",
" | sklearn.base.BaseEstimator\n",
" | builtins.object\n",
" | \n",
" | Methods defined here:\n",
" | \n",
" | __init__(self, *, C=1.0, kernel='rbf', degree=3, gamma='scale', coef0=0.0, shrinking=True, probability=False, tol=0.001, cache_size=200, class_weight=None, verbose=False, max_iter=-1, decision_function_shape='ovr', break_ties=False, random_state=None)\n",
" | Initialize self. See help(type(self)) for accurate signature.\n",
" | \n",
" | ----------------------------------------------------------------------\n",
" | Data and other attributes defined here:\n",
" | \n",
" | __abstractmethods__ = frozenset()\n",
" | \n",
" | ----------------------------------------------------------------------\n",
" | Methods inherited from sklearn.svm._base.BaseSVC:\n",
" | \n",
" | decision_function(self, X)\n",
" | Evaluates the decision function for the samples in X.\n",
" | \n",
" | Parameters\n",
" | ----------\n",
" | X : array-like of shape (n_samples, n_features)\n",
" | \n",
" | Returns\n",
" | -------\n",
" | X : ndarray of shape (n_samples, n_classes * (n_classes-1) / 2)\n",
" | Returns the decision function of the sample for each class\n",
" | in the model.\n",
" | If decision_function_shape='ovr', the shape is (n_samples,\n",
" | n_classes).\n",
" | \n",
" | Notes\n",
" | -----\n",
" | If decision_function_shape='ovo', the function values are proportional\n",
" | to the distance of the samples X to the separating hyperplane. If the\n",
" | exact distances are required, divide the function values by the norm of\n",
" | the weight vector (``coef_``). See also `this question\n",
" | <https://stats.stackexchange.com/questions/14876/\n",
" | interpreting-distance-from-hyperplane-in-svm>`_ for further details.\n",
" | If decision_function_shape='ovr', the decision function is a monotonic\n",
" | transformation of ovo decision function.\n",
" | \n",
" | predict(self, X)\n",
" | Perform classification on samples in X.\n",
" | \n",
" | For an one-class model, +1 or -1 is returned.\n",
" | \n",
" | Parameters\n",
" | ----------\n",
" | X : {array-like, sparse matrix} of shape (n_samples, n_features) or (n_samples_test, n_samples_train)\n",
" | For kernel=\"precomputed\", the expected shape of X is\n",
" | (n_samples_test, n_samples_train).\n",
" | \n",
" | Returns\n",
" | -------\n",
" | y_pred : ndarray of shape (n_samples,)\n",
" | Class labels for samples in X.\n",
" | \n",
" | ----------------------------------------------------------------------\n",
" | Data descriptors inherited from sklearn.svm._base.BaseSVC:\n",
" | \n",
" | predict_log_proba\n",
" | Compute log probabilities of possible outcomes for samples in X.\n",
" | \n",
" | The model need to have probability information computed at training\n",
" | time: fit with attribute `probability` set to True.\n",
" | \n",
" | Parameters\n",
" | ----------\n",
" | X : array-like of shape (n_samples, n_features) or (n_samples_test, n_samples_train)\n",
" | For kernel=\"precomputed\", the expected shape of X is\n",
" | (n_samples_test, n_samples_train).\n",
" | \n",
" | Returns\n",
" | -------\n",
" | T : ndarray of shape (n_samples, n_classes)\n",
" | Returns the log-probabilities of the sample for each class in\n",
" | the model. The columns correspond to the classes in sorted\n",
" | order, as they appear in the attribute :term:`classes_`.\n",
" | \n",
" | Notes\n",
" | -----\n",
" | The probability model is created using cross validation, so\n",
" | the results can be slightly different than those obtained by\n",
" | predict. Also, it will produce meaningless results on very small\n",
" | datasets.\n",
" | \n",
" | predict_proba\n",
" | Compute probabilities of possible outcomes for samples in X.\n",
" | \n",
" | The model need to have probability information computed at training\n",
" | time: fit with attribute `probability` set to True.\n",
" | \n",
" | Parameters\n",
" | ----------\n",
" | X : array-like of shape (n_samples, n_features)\n",
" | For kernel=\"precomputed\", the expected shape of X is\n",
" | [n_samples_test, n_samples_train]\n",
" | \n",
" | Returns\n",
" | -------\n",
" | T : ndarray of shape (n_samples, n_classes)\n",
" | Returns the probability of the sample for each class in\n",
" | the model. The columns correspond to the classes in sorted\n",
" | order, as they appear in the attribute :term:`classes_`.\n",
" | \n",
" | Notes\n",
" | -----\n",
" | The probability model is created using cross validation, so\n",
" | the results can be slightly different than those obtained by\n",
" | predict. Also, it will produce meaningless results on very small\n",
" | datasets.\n",
" | \n",
" | probA_\n",
" | \n",
" | probB_\n",
" | \n",
" | ----------------------------------------------------------------------\n",
" | Methods inherited from sklearn.base.ClassifierMixin:\n",
" | \n",
" | score(self, X, y, sample_weight=None)\n",
" | Return the mean accuracy on the given test data and labels.\n",
" | \n",
" | In multi-label classification, this is the subset accuracy\n",
" | which is a harsh metric since you require for each sample that\n",
" | each label set be correctly predicted.\n",
" | \n",
" | Parameters\n",
" | ----------\n",
" | X : array-like of shape (n_samples, n_features)\n",
" | Test samples.\n",
" | \n",
" | y : array-like of shape (n_samples,) or (n_samples, n_outputs)\n",
" | True labels for X.\n",
" | \n",
" | sample_weight : array-like of shape (n_samples,), default=None\n",
" | Sample weights.\n",
" | \n",
" | Returns\n",
" | -------\n",
" | score : float\n",
" | Mean accuracy of self.predict(X) wrt. y.\n",
" | \n",
" | ----------------------------------------------------------------------\n",
" | Data descriptors inherited from sklearn.base.ClassifierMixin:\n",
" | \n",
" | __dict__\n",
" | dictionary for instance variables (if defined)\n",
" | \n",
" | __weakref__\n",
" | list of weak references to the object (if defined)\n",
" | \n",
" | ----------------------------------------------------------------------\n",
" | Methods inherited from sklearn.svm._base.BaseLibSVM:\n",
" | \n",
" | fit(self, X, y, sample_weight=None)\n",
" | Fit the SVM model according to the given training data.\n",
" | \n",
" | Parameters\n",
" | ----------\n",
" | X : {array-like, sparse matrix} of shape (n_samples, n_features) or (n_samples, n_samples)\n",
" | Training vectors, where n_samples is the number of samples\n",
" | and n_features is the number of features.\n",
" | For kernel=\"precomputed\", the expected shape of X is\n",
" | (n_samples, n_samples).\n",
" | \n",
" | y : array-like of shape (n_samples,)\n",
" | Target values (class labels in classification, real numbers in\n",
" | regression)\n",
" | \n",
" | sample_weight : array-like of shape (n_samples,), default=None\n",
" | Per-sample weights. Rescale C per sample. Higher weights\n",
" | force the classifier to put more emphasis on these points.\n",
" | \n",
" | Returns\n",
" | -------\n",
" | self : object\n",
" | \n",
" | Notes\n",
" | -----\n",
" | If X and y are not C-ordered and contiguous arrays of np.float64 and\n",
" | X is not a scipy.sparse.csr_matrix, X and/or y may be copied.\n",
" | \n",
" | If X is a dense array, then the other methods will not support sparse\n",
" | matrices as input.\n",
" | \n",
" | ----------------------------------------------------------------------\n",
" | Data descriptors inherited from sklearn.svm._base.BaseLibSVM:\n",
" | \n",
" | coef_\n",
" | \n",
" | n_support_\n",
" | \n",
" | ----------------------------------------------------------------------\n",
" | Methods inherited from sklearn.base.BaseEstimator:\n",
" | \n",
" | __getstate__(self)\n",
" | \n",
" | __repr__(self, N_CHAR_MAX=700)\n",
" | Return repr(self).\n",
" | \n",
" | __setstate__(self, state)\n",
" | \n",
" | get_params(self, deep=True)\n",
" | Get parameters for this estimator.\n",
" | \n",
" | Parameters\n",
" | ----------\n",
" | deep : bool, default=True\n",
" | If True, will return the parameters for this estimator and\n",
" | contained subobjects that are estimators.\n",
" | \n",
" | Returns\n",
" | -------\n",
" | params : mapping of string to any\n",
" | Parameter names mapped to their values.\n",
" | \n",
" | set_params(self, **params)\n",
" | Set the parameters of this estimator.\n",
" | \n",
" | The method works on simple estimators as well as on nested objects\n",
" | (such as pipelines). The latter have parameters of the form\n",
" | ``<component>__<parameter>`` so that it's possible to update each\n",
" | component of a nested object.\n",
" | \n",
" | Parameters\n",
" | ----------\n",
" | **params : dict\n",
" | Estimator parameters.\n",
" | \n",
" | Returns\n",
" | -------\n",
" | self : object\n",
" | Estimator instance.\n",
"\n"
]
}
],
"source": [
"help(SVC)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**NOTE: For this example, we will explore the algorithm, so we'll skip any scaling or even a train\\test split for now**"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"y = df['Virus Present']\n",
"X = df.drop('Virus Present',axis=1) "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"SVC(C=1000, kernel='linear')"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model = SVC(kernel='linear', C=1000)\n",
"model.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# This is imported from the supplemental .py file\n",
"# https://scikit-learn.org/stable/auto_examples/svm/plot_separating_hyperplane.html\n",
"from svm_margin_plot import plot_svm_boundary"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_svm_boundary(model,X,y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Hyper Parameters\n",
"\n",
"### C\n",
"\n",
"Regularization parameter. The strength of the regularization is **inversely** proportional to C. Must be strictly positive. The penalty is a squared l2 penalty.\n",
"\n",
"*Note: If you are following along with the equations, specifically the value of C as described in ISLR, C in scikit-learn is **inversely** proportional to this value.*"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"SVC(C=0.05, kernel='linear')"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model = SVC(kernel='linear', C=0.05)\n",
"model.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_svm_boundary(model,X,y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Kernel\n",
"\n",
"[Choosing a Kernel](https://stats.stackexchange.com/questions/18030/how-to-select-kernel-for-svm?rq=1)\n",
"\n",
"#### rbf - [Radial Basis Function](https://en.wikipedia.org/wiki/Radial_basis_function_kernel)\n",
"\n",
"\n",
"When training an SVM with the Radial Basis Function (RBF) kernel, two parameters must be considered: C and gamma. The parameter C, common to all SVM kernels, trades off misclassification of training examples against simplicity of the decision surface. A low C makes the decision surface smooth, while a high C aims at classifying all training examples correctly. gamma defines how much influence a single training example has. The larger gamma is, the closer other examples must be to be affected."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model = SVC(kernel='rbf', C=1)\n",
"model.fit(X, y)\n",
"plot_svm_boundary(model,X,y)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model = SVC(kernel='sigmoid')\n",
"model.fit(X, y)\n",
"plot_svm_boundary(model,X,y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Degree (poly kernels only)\n",
"\n",
"Degree of the polynomial kernel function ('poly').\n",
"Ignored by all other kernels."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model = SVC(kernel='poly', C=1,degree=1)\n",
"model.fit(X, y)\n",
"plot_svm_boundary(model,X,y)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model = SVC(kernel='poly', C=1,degree=2)\n",
"model.fit(X, y)\n",
"plot_svm_boundary(model,X,y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### gamma\n",
"\n",
"gamma : {'scale', 'auto'} or float, default='scale'\n",
" Kernel coefficient for 'rbf', 'poly' and 'sigmoid'.\n",
"\n",
" - if ``gamma='scale'`` (default) is passed then it uses\n",
" 1 / (n_features * X.var()) as value of gamma,\n",
" - if 'auto', uses 1 / n_features."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model = SVC(kernel='rbf', C=1,gamma=0.01)\n",
"model.fit(X, y)\n",
"plot_svm_boundary(model,X,y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Grid Search\n",
"\n",
"Keep in mind, for this simple example, we saw the classes were easily separated, which means each variation of model could easily get 100% accuracy, meaning a grid search is \"useless\"."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.model_selection import GridSearchCV"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"svm = SVC()\n",
"param_grid = {'C':[0.01,0.1,1],'kernel':['linear','rbf']}\n",
"grid = GridSearchCV(svm,param_grid)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GridSearchCV(estimator=SVC(),\n",
" param_grid={'C': [0.01, 0.1, 1, 10], 'kernel': ['linear', 'rbf']})"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Note again we didn't split Train|Test\n",
"grid.fit(X,y)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.0"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 100% accuracy (as expected)\n",
"grid.best_score_"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'C': 0.01, 'kernel': 'linear'}"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"grid.best_params_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is more to review the grid search process, recall in a real situation such as your exercise, you will perform a train|test split and get final evaluation metrics."
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 3",
"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": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 1
}