{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "329987f1", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from numpy import sqrt\n", "import matplotlib.pyplot as plt\n", "import scipy.io as sio\n", "import os\n", "import random\n", "import time\n", "import sys\n", "from matplotlib import rcParams\n", "from scipy.linalg import eigh\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.preprocessing import PolynomialFeatures\n", "from scipy import stats\n", "import statsmodels.api as sm\n", "from statsmodels.formula.api import ols\n", "import pandas as pd\n", "import matplotlib as mpl\n", "import seaborn as sns\n", "\n", "\n", "\n", "import statsmodels.formula.api as smf\n", "\n", "mpl.rcParams['figure.dpi'] = 400 \n", "plt.rc('text',usetex=True)" ] }, { "cell_type": "markdown", "id": "b9b501de", "metadata": {}, "source": [ "## Alguns exemplos do *Introduction to Probability for Data Science*, Stanley H. Chan" ] }, { "cell_type": "markdown", "id": "654cd502", "metadata": {}, "source": [ "Ajustando o modelo $Y = \\beta_0 + \\beta_1 x + \\beta_2 x^2 + \\varepsilon$ com `numpy`." ] }, { "cell_type": "code", "execution_count": 2, "id": "b152351e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1.00000000e+00, 9.32316068e-01, 8.69213251e-01],\n", " [1.00000000e+00, 4.00667314e-01, 1.60534296e-01],\n", " [1.00000000e+00, 3.57947608e-01, 1.28126490e-01],\n", " [1.00000000e+00, 6.65188911e-01, 4.42476287e-01],\n", " [1.00000000e+00, 4.57034606e-01, 2.08880631e-01],\n", " [1.00000000e+00, 4.52698089e-01, 2.04935560e-01],\n", " [1.00000000e+00, 6.79445639e-01, 4.61646377e-01],\n", " [1.00000000e+00, 1.91098308e-01, 3.65185632e-02],\n", " [1.00000000e+00, 4.77749380e-01, 2.28244470e-01],\n", " [1.00000000e+00, 3.02821866e-01, 9.17010826e-02],\n", " [1.00000000e+00, 4.24069130e-01, 1.79834627e-01],\n", " [1.00000000e+00, 3.09252769e-01, 9.56372748e-02],\n", " [1.00000000e+00, 5.00669784e-01, 2.50670233e-01],\n", " [1.00000000e+00, 7.45686720e-01, 5.56048684e-01],\n", " [1.00000000e+00, 9.43347814e-01, 8.89905098e-01],\n", " [1.00000000e+00, 6.19081748e-01, 3.83262211e-01],\n", " [1.00000000e+00, 4.17625267e-02, 1.74410864e-03],\n", " [1.00000000e+00, 9.78771178e-01, 9.57993019e-01],\n", " [1.00000000e+00, 2.52993410e-01, 6.40056656e-02],\n", " [1.00000000e+00, 5.28084907e-02, 2.78873669e-03],\n", " [1.00000000e+00, 2.46939168e-01, 6.09789528e-02],\n", " [1.00000000e+00, 6.72628813e-01, 4.52429520e-01],\n", " [1.00000000e+00, 7.29534614e-01, 5.32220753e-01],\n", " [1.00000000e+00, 9.90588832e-01, 9.81266233e-01],\n", " [1.00000000e+00, 9.21709384e-01, 8.49548188e-01],\n", " [1.00000000e+00, 3.01062703e-02, 9.06387509e-04],\n", " [1.00000000e+00, 4.39344301e-01, 1.93023415e-01],\n", " [1.00000000e+00, 4.99937605e-01, 2.49937609e-01],\n", " [1.00000000e+00, 7.57026514e-01, 5.73089142e-01],\n", " [1.00000000e+00, 2.01148486e-01, 4.04607133e-02],\n", " [1.00000000e+00, 8.54662926e-01, 7.30448716e-01],\n", " [1.00000000e+00, 8.17021753e-01, 6.67524544e-01],\n", " [1.00000000e+00, 1.37711890e-01, 1.89645646e-02],\n", " [1.00000000e+00, 8.22719210e-01, 6.76866899e-01],\n", " [1.00000000e+00, 8.00383695e-01, 6.40614059e-01],\n", " [1.00000000e+00, 3.61067019e-02, 1.30369392e-03],\n", " [1.00000000e+00, 3.32710339e-01, 1.10696170e-01],\n", " [1.00000000e+00, 6.96406506e-01, 4.84982022e-01],\n", " [1.00000000e+00, 2.36852735e-01, 5.60992180e-02],\n", " [1.00000000e+00, 5.88420489e-01, 3.46238671e-01],\n", " [1.00000000e+00, 6.12605288e-01, 3.75285239e-01],\n", " [1.00000000e+00, 3.69473939e-01, 1.36510992e-01],\n", " [1.00000000e+00, 2.25020908e-01, 5.06344091e-02],\n", " [1.00000000e+00, 4.94507111e-01, 2.44537283e-01],\n", " [1.00000000e+00, 4.84044217e-01, 2.34298804e-01],\n", " [1.00000000e+00, 2.40400462e-01, 5.77923820e-02],\n", " [1.00000000e+00, 8.63991480e-01, 7.46481278e-01],\n", " [1.00000000e+00, 7.06783807e-01, 4.99543349e-01],\n", " [1.00000000e+00, 1.02481086e-01, 1.05023730e-02],\n", " [1.00000000e+00, 8.27714196e-01, 6.85110791e-01]])" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "N = 50\n", "x = np.random.rand(N)\n", "a = -2.5\n", "b = 1.3\n", "c = 1.2\n", "\n", "\n", "y = a*x**2 + b*x + c + 0.2*np.random.randn(N)\n", "\n", "X = np.column_stack((np.ones(N), x, x**2)) # criando a base de funções\n", "\n", "X" ] }, { "cell_type": "code", "execution_count": 3, "id": "28230f25", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.27225644 1.05854855 -2.37886215]\n" ] } ], "source": [ "\n", "beta = np.linalg.lstsq(X, y, rcond=None)[0]\n", "\n", "\n", "t = np.linspace(0,1,200)\n", "\n", "yhat = beta[0] + beta[1]*t + beta[2]*t**2\n", "\n", "print(beta)" ] }, { "cell_type": "code", "execution_count": 8, "id": "4c80b1ae", "metadata": {}, "outputs": [], "source": [ "np.linalg.lstsq?" ] }, { "cell_type": "markdown", "id": "2efba63a", "metadata": {}, "source": [ "## Com o `statsmodel`" ] }, { "cell_type": "code", "execution_count": 5, "id": "00d43776", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: y R-squared: 0.833\n", "Model: OLS Adj. R-squared: 0.826\n", "Method: Least Squares F-statistic: 117.3\n", "Date: Tue, 14 Nov 2023 Prob (F-statistic): 5.32e-19\n", "Time: 10:06:58 Log-Likelihood: 13.014\n", "No. Observations: 50 AIC: -20.03\n", "Df Residuals: 47 BIC: -14.29\n", "Df Model: 2 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 1.2723 0.088 14.505 0.000 1.096 1.449\n", "x1 1.0585 0.390 2.715 0.009 0.274 1.843\n", "x2 -2.3789 0.372 -6.399 0.000 -3.127 -1.631\n", "==============================================================================\n", "Omnibus: 10.168 Durbin-Watson: 1.999\n", "Prob(Omnibus): 0.006 Jarque-Bera (JB): 2.832\n", "Skew: 0.045 Prob(JB): 0.243\n", "Kurtosis: 1.838 Cond. No. 23.6\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "model = sm.OLS(y,X)\n", "results = model.fit()\n", "\n", "print(results.summary())" ] }, { "cell_type": "markdown", "id": "35fd9562", "metadata": {}, "source": [ "### Com o `statsmodels.formula.api` " ] }, { "cell_type": "code", "execution_count": 6, "id": "150921d0", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: y R-squared: 0.833
Model: OLS Adj. R-squared: 0.826
Method: Least Squares F-statistic: 117.3
Date: Tue, 14 Nov 2023 Prob (F-statistic): 5.32e-19
Time: 10:07:00 Log-Likelihood: 13.014
No. Observations: 50 AIC: -20.03
Df Residuals: 47 BIC: -14.29
Df Model: 2
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [0.025 0.975]
Intercept 1.2723 0.088 14.505 0.000 1.096 1.449
x 1.0585 0.390 2.715 0.009 0.274 1.843
I(x ** 2) -2.3789 0.372 -6.399 0.000 -3.127 -1.631
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 10.168 Durbin-Watson: 1.999
Prob(Omnibus): 0.006 Jarque-Bera (JB): 2.832
Skew: 0.045 Prob(JB): 0.243
Kurtosis: 1.838 Cond. No. 23.6


Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: y R-squared: 0.833\n", "Model: OLS Adj. R-squared: 0.826\n", "Method: Least Squares F-statistic: 117.3\n", "Date: Tue, 14 Nov 2023 Prob (F-statistic): 5.32e-19\n", "Time: 10:07:00 Log-Likelihood: 13.014\n", "No. Observations: 50 AIC: -20.03\n", "Df Residuals: 47 BIC: -14.29\n", "Df Model: 2 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 1.2723 0.088 14.505 0.000 1.096 1.449\n", "x 1.0585 0.390 2.715 0.009 0.274 1.843\n", "I(x ** 2) -2.3789 0.372 -6.399 0.000 -3.127 -1.631\n", "==============================================================================\n", "Omnibus: 10.168 Durbin-Watson: 1.999\n", "Prob(Omnibus): 0.006 Jarque-Bera (JB): 2.832\n", "Skew: 0.045 Prob(JB): 0.243\n", "Kurtosis: 1.838 Cond. No. 23.6\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "\"\"\"" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#x = np.random.rand(N)\n", "#y = a*x**2 + b*x + c + 0.2*np.random.randn(N)\n", "\n", "df = pd.DataFrame([])\n", "df['y'] = y\n", "df['x'] = x\n", "\n", "model = smf.ols(formula='y ~ x + I(x**2)', data=df)\n", "\n", "result = model.fit()\n", "result.summary()\n" ] }, { "cell_type": "markdown", "id": "9f440bb2", "metadata": {}, "source": [ "## Polinômios ortogonais" ] }, { "cell_type": "markdown", "id": "950d8e36", "metadata": {}, "source": [ "Exemplo com $Y = \\beta_0 + \\beta_1 x+ \\beta_2 x^2+ \\beta_3 x^3+ \\beta_4 x^4 + \\varepsilon$" ] }, { "cell_type": "code", "execution_count": 7, "id": "6a785767", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.special import eval_legendre\n", "\n", "N = 30\n", "x = np.linspace(-1,1,N)\n", "x = x.reshape([N,1])\n", "betas = np.array([-0.001, 0.5, 0.25, 1.6, 1.5]).T\n", "Y = np.zeros(N)\n", "\n", "Y = x ** np.arange(0,len(betas)) @ betas + 0.2*np.random.randn(N)\n", "\n", "\n", "plt.plot(x,Y,'.')\n", "plt.show()\n", " \n" ] }, { "cell_type": "markdown", "id": "1f8cdd35", "metadata": {}, "source": [ "### Criando a matriz $\\mathbb{X}$" ] }, { "cell_type": "code", "execution_count": 9, "id": "ac064af6", "metadata": {}, "outputs": [], "source": [ "\n", "x = x.reshape([N,1])\n", "Xm = x ** np.arange(0,len(betas)) \n", "\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "5ef55df1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: y R-squared: 0.974\n", "Model: OLS Adj. R-squared: 0.970\n", "Method: Least Squares F-statistic: 236.3\n", "Date: Tue, 14 Nov 2023 Prob (F-statistic): 1.82e-19\n", "Time: 10:07:17 Log-Likelihood: 8.5729\n", "No. Observations: 30 AIC: -7.146\n", "Df Residuals: 25 BIC: -0.1399\n", "Df Model: 4 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.0061 0.068 0.089 0.930 -0.135 0.147\n", "x1 0.6690 0.153 4.375 0.000 0.354 0.984\n", "x2 0.4215 0.403 1.045 0.306 -0.409 1.252\n", "x3 1.4418 0.219 6.584 0.000 0.991 1.893\n", "x4 1.3458 0.424 3.176 0.004 0.473 2.219\n", "==============================================================================\n", "Omnibus: 2.603 Durbin-Watson: 2.180\n", "Prob(Omnibus): 0.272 Jarque-Bera (JB): 2.082\n", "Skew: -0.639 Prob(JB): 0.353\n", "Kurtosis: 2.819 Cond. No. 17.6\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "model = sm.OLS(Y,Xm)\n", "results = model.fit()\n", "print(results.summary())" ] }, { "cell_type": "code", "execution_count": 441, "id": "2f2866a8", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "betas_estimated = results.params\n", " \n", "plt.plot(x,Y,'.')\n", "plt.plot(x,results.predict(Xm),'-')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "a0f0c237", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: y R-squared: 0.974\n", "Model: OLS Adj. R-squared: 0.970\n", "Method: Least Squares F-statistic: 236.3\n", "Date: Tue, 14 Nov 2023 Prob (F-statistic): 1.82e-19\n", "Time: 10:07:30 Log-Likelihood: 8.5729\n", "No. Observations: 30 AIC: -7.146\n", "Df Residuals: 25 BIC: -0.1399\n", "Df Model: 4 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.4158 0.037 11.364 0.000 0.340 0.491\n", "x1 3.0681 0.123 24.919 0.000 2.815 3.322\n", "x2 4.2003 0.311 13.496 0.000 3.559 4.841\n", "x3 0.3604 0.055 6.584 0.000 0.248 0.473\n", "x4 0.2051 0.065 3.176 0.004 0.072 0.338\n", "==============================================================================\n", "Omnibus: 2.603 Durbin-Watson: 2.180\n", "Prob(Omnibus): 0.272 Jarque-Bera (JB): 2.082\n", "Skew: -0.639 Prob(JB): 0.353\n", "Kurtosis: 2.819 Cond. No. 8.59\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "list_legendre = []\n", "for i in range(len(betas)):\n", " list_legendre.append(betas[i]*(eval_legendre(i,x)))\n", "\n", "Xlegendre = np.column_stack(list_legendre)\n", "\n", "Xlegendre[:,0] = 1\n", "\n", "model_legendre = sm.OLS(Y,Xlegendre)\n", "results_legendre = model_legendre.fit()\n", "print(results_legendre.summary())" ] }, { "cell_type": "code", "execution_count": 12, "id": "55c7c294", "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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U28vWquDAJm1r2KdiudVu+Sg4YZFksXQ6b1ukM6jrXd3a1mmQIs4wdWVEkq4eNVtXZ39OI5IvCao+AAAAAAD+IkgBAAAADDDlNY3atLtW1Q1tavF4Fe2wyxUfqblTkpWREtfX7QEABqiGkwe0vew5FRx8SwWNldppaZfv7OCEOg9OnK/SEaFjNqtG+IyArn9la5uspinDYlGaW0pqHimLOVsP3fllZY0ZGdhvBgAAAACAHiBIAQAAAAwAHq+h9aXVWrOlSvmVdZ2OeWRdmWaOT9KS2WlakOWSw27t5S4BAAPJibp9Kixbq4JD72hb8wHtsnhlngpOWCV/gxOd2eZ0an5Lq9/jG8xovduepcsOp6q0ZZZKvGmnzxWu/EArl+VpVvrwoPsBAAAAACAQBCkAAACAfq7sSIMefKZQFbXN3Y7Nr6xTfmWd0pNjtGJxrjJd8b3QIQBgIDhWW6aCsmdVcOQ9bWs+qL0288zJHgYnzlcQFXnRIEWdGat84xLlG5l6z7hEZeY4GbJK7ReObXR7dc+qAq29fzb/rgEAAAAAesWAD1I89dRTWrt2rSoqKlRRUaHExEQlJSVp3rx5uu+++5Sbm9vXLQIAAABB21pxXHevKlCT2xvQvIraZi16YgtP8ALAEFZd/YHeL3te26rzta31iCptZ520dTktJAoinee8rjUT9J5xibZ+FJ7YY46WKf9XTmp0e/XA04Vav/waVlwCAAAAAITdgA1SPPzww3rsscckSfPmzdPDDz+s9PR01dfX6/3339djjz2mp556Sunp6Vq7di2BCgAAAAw4ZUcaggpRnMITvAAwhJimdGK/VPmOVPWuVPW2HnW0aGNMdMf5MAcnztdsi1Db9Du0yzZdX3kvVvtNl3q64kVFbbM2lFZrYU5qaJoEAAAAAKALAy5IUV9fr+uuu06FhYVKTEzUG2+8cUFI4o477tCjjz6q++67T0899ZRmzJihJ598Uvfee28fdQ0AAAAExuM19OAzhUGHKE7hCV4AGKRMUzq2R6p6+0x4ovHwOUNmxMedCVKE2VifNCMyRXmuPM3I+KRGp86UxWrV//x6i/abdSG7zuqtVQQpAAAAAABhN+CCFDNmzFBFRYUkadu2bUpPT+9y7JNPPimpY/uP++67T5IIUwAAAGBAWF9arYra5pDU4gleABgEDEM6ulOqeuejH+9KzbUXnZLX1ha2dib4LMqLHqUZris0I/M2uVyXXjBmd3Wj8itDF6KQpPz9dSqvaVRGSlxI6wIAAAAAcLYBFaRYtGjR6RDFo48+etEQxSlPPvmkNm7cqIqKCt13333Ky8tjmw8AAAD0e2u2VIW0Hk/wAsDA4m1v0+5961Swb722HS/RbcdrdO3JYwHVmOxpV5zPUKOt5ysSTTasyoseo7zU2cq95A6NGJHZ7Zy3yi8e9AjWpt21BCkAAAAAAGE1YIIUhYWFeu655yRJiYmJeuihh/ye+/DDD59ekeKee+7Rtm3bwtIjAAAAEAo8wQsAQ097e4tKd7+gbftfV0FdmT4wmtRstZw+n2L36doAa9ok5brd2hQdFdA8q2kq07RrRmya8kZfpRlT71RC4vgAry5VN4RnRYyaMNUFAAAAAOCUAROkuOeee07/+s477wxo7r333ns6SHEqkHHHHXeEtD8AAAAgVHiCFwAGv+rq7Sra87KKqgtU1HxAO0233GcFJ3T2ryUVRDqDuk5ea1u3QQq7aWqq6VBe/ATljZ2rSzNvV1z86KCud7YWj7fHNTrTHKa6AAAAAACcMiCCFBUVFSosLDz9esaMGQHXyM3NPV3jySefJEgBAACAfosneAFgcGltqVPZnpdVdOAtFZ3YpR3t9TpqOysoYZFksXQ5X5L2Ohw6YbVqmGEEdO28NvcFxxymqemK1IyEicob9zHlXHKHoqNHBFTXH9GO8HzsFBOmugAAAAAAnDIgvvN88sknz3k9b968gGvk5eWdDlJs3LhR9fX1SkxMDEV7AAAAQEjxBC8ADFymYejDA++oqGK9dhz9QEUth7XH4pX37KCE7eKhia4URjp1XUtrQHMyPR4N9xmaZItWXuIU5aVdp+mZt8kZmRBUD4FwxUeGpW5KmOoCAAAAAHDKgAhSPPfcc+e8TkpKCrjGxIkTz3n97LPP6t577+1RXwAAAEA48AQvAAwcjQ2HVFz+dxUdeldFJ/eq2Nek+nO26JA6lpzouQJ/gxSOOGncFVLaVbKPv1r/cGXLGtH74YO5U5L1yLqysNQFAAAAACCc+v0nqfX19aqoqDjnWDArSZw/Z9u2bT3oCgAAAAgfnuAFgH7K8Gn//jdUsO9VFR0rVnHbUVVYDZlnrzZhDU1oojPbIrv4ezwyUUq7Ukq7quNnV7ZkO/ORjzVsHV1cRkqcZo5PUn5lXchqzpyQpIyUuJDVAwAAAACgM/0+SFFQUHDO62C34zh/FYuNGzcG2xIAAAAQVjzBCwD9RNNR6WCBdPD9jh+HP9CqOIeej4/tOG+TQrXahD92OSLUaLEoLmp4R2Bi/NUd4YmRUyVrX8UlLm7J7LSQBimWzkoLWS0AAAAAALrS74MUhYWF57wOZlsP6cIAxvmrXAAAAAD9BU/wAkAf8Lql6uIzoYmDBVJ91QXDctwxel6xvdraSJ+pGY7hyht5qSw3fE4adalk6b0AR08syHIpPTlGFbXNPa6Vnhyj+VmuEHQFAAAAAMDF9fsgxb59+855HaoVKaSOMEV6enpQ9QAAAIBw4gleAAgf0zB0pLpQMUfLlFC9syM4cWSH5PN0Ozfb7Q57f6k+KS8yWXkjZygv41aNGXOlLP10xYnuOOxWrVicq0VPbFGj2xt0nTinXSsW58phH5j/HQAAAAAAA0u/D1LU1YXuw+Pz1dfXh602AAAA0BM8wQsAodPSdFSle17SjoObVXRij4q9J3XMZtG3jtXpzsamgGpNaPcq1jDUFKJgg8M0NVUOZceMVbYrTzmTbpFr1GUhqd1fZLritXJZnu5eVaCmIMIUcU67Vi7LU6YrPgzdAQAAAABwoX4fpAhn2KGiokK5ublhqw8AAAAEiyd4ASA4hs+ryg/fUlHFBhXV7lBR6xHtsfhknL0Vhq3j1zucDt3ZGFh9q6Tpbre2REUF1d9Yn5TtHKHs4VOVk/YxZaTfqAhnTFC1BpJZ6cP13P2z9cDThQGFBNOTY7RicS4hCgAAAABAr+r3QYpQrUgR7JYgPbVly5YezS8uLg5RJwAAABhoeIIXALp3sr5SReUvqujQFhU3VKjIaFaj9azQhFWSLJ3OLXI6g7pmdpvHryBFjGFqujVK0+MmKCd1lqZnfEJJSZOCuuZgkOmK1/rl12hDabVWb61S/v6uP/OZOSFJS2elaX6WizAgAAAAAKDX9fsgxfkrUiQlJYWsdji3DTnlyiuvDPs1AAAAMHjxBC8AnOFtb9Oeig0qqnxDRcdLVNRWq0rbeYOsnYcmOlPpiNBJq1UJhhFQH9lu9wXHLKapiaZNOZEpyk7OVvaEGzQh7VrZ7I6Aag92DrtVC3NStTAnVeU1jdq0u1Y1DW1q9ngV47ArJT5Sc6ckKyMlrq9bBQAAAAAMYf0+SAEAAAAMdTzBC2CoOlpToqI9L6mo5n0VNX6onWabWs8OSpwfoghCsdOhq1vbApqT7fYoyWcq2x6n7MTJyh5zlbImf0KxcaN63tAQkpESR2ACAAAAANAvEaQAAAAABgCe4AUw2LU0HdXOvetUeugdFZ3YpSLPCVXbzgpNWCRZ/F9twl9FTmf3QQqrXXJlS2Mul8ZcrsQxeXozMU0WK4E1AAAAAAAGI4IUAAAAwADDE7wABrz2NqmmRDpUKB3+QP/v+BZtsHtlnh2UsIU+NNGZImcnW28kjJVGzzgdnNCobCki6pwhvdMdAAAAAADoC/0+SJGYmBiSOvX19RccS0pKCknti3n33Xd7NL+4uFj33XdfiLoBAAAAAKCX+dqlo2XS4Y7QhA4VSkd3Sob39JD44cNkxvdNQGyvwyEz7UpZToUmRudJ8WzRAQAAAADAUNbvgxTnq6vrej/o/mj27Nl93QIAAAAAAL3C5/XIUrdP1sPbzwQnqosl78W3zpjm9ujZ3mlR430WZUcmK2d4lrLHz9Ok9BtkiYjspasDAAAAAICBoN8HKdLT01VYWBi22gAAAAAAIHCmYejgoS0q2f+6Smu2q6T5oMrMNq2srlG22xNQrakBjvdXnGEq2xqj7Ph0ZY++UtMzFiohcXxYrgUAAAAAAAaPfh+kOH/7jc626PBHZytZhGrbEAAAAAAABjPTMFRztEil+zaotKZAJY1VKjVa1GC1nBlkkWSxqMThCDhIMbG9XZGGoTarNegeraapDNOm7KhRyk6+VNnp85U2bo6stn7/0QcAAAAAAOhn+v2nCRMnTjzndbBbe3QWwDg/pAEAAAAAAKS6ur0q2fuKSg/nq7ShQiW+Rh0/OzQhSee//kip0yE1BnY9u6RLPB59EOn/FhsjfKayIxKUnZih7LFzlDXpFkXHjgzswgAAAAAAAJ3o90GK3NzckNSpqKg453ViYiIrUgAAAAAAhryGhoPauecVlRzeop31e1XSflJHbOcN6iI00ZlSpyOoPrLcXQcpIkxTU02HsmPHKDtlhrIn3axRrlxZerCCBQAAAAAAQFf6fZAiLy/vnNfBbu1x/Pjxc17Pmzcv2JYAAADQT5TXNGrT7lpVN7SpxeNVtMMuV3yk5k5JVkZKXF+3BwD9TkvLMe3as04lh95R6YndKnUfV9X5oYnzXweoIiJCLRaLok0zoHlZZ20HMs4nZTmSlDN8qrLHfVxTJi2Qw8nf6wAAAAAAoHf0+yBFYmKi0tPTz1lRoqKiQunp6QHVOX9Fissvvzwk/QEAAKB3ebyG1pdWa82WKuVXdr7t2yPryjRzfJKWzE7TgiyXHHaeWAYw9HjcjSrft14lB95S6fEylbhrVWHxybCctbpED0MTnTEtFu10OpTX5vZvQvwYafR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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x,Y,'.',label=r'Dados')\n", "plt.plot(x,results.predict(Xm),'-',label=r'Usando a base $\\{x,x^2,x^3,x^4\\}$')\n", "plt.plot(x,results_legendre.predict(Xlegendre),'--',label=r'Usando a base $\\{L_1,L_2,L_3,L_4\\}$')\n", "\n", "plt.legend(loc='upper left')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "9ac6b921", "metadata": {}, "source": [ "### p-valores" ] }, { "cell_type": "code", "execution_count": 13, "id": "12c88896", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Primeira base: \n", "[9.29515798e-01 1.88097108e-04 3.06074293e-01 6.73916757e-07\n", " 3.94536764e-03]\n", "Polinômios ortogonais: \n", "[2.28719208e-11 3.57380821e-19 5.56170921e-13 6.73916757e-07\n", " 3.94536764e-03]\n" ] } ], "source": [ "print('Primeira base: ')\n", "print(results.pvalues)\n", "\n", "print('Polinômios ortogonais: ')\n", "print(results_legendre.pvalues)" ] }, { "cell_type": "markdown", "id": "4c4e628c", "metadata": {}, "source": [ "## Exemplo: Overfitting" ] }, { "cell_type": "code", "execution_count": 14, "id": "0bc3aa5a", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from numpy.random import rand , randn\n", "from numpy.linalg import norm , solve\n", "import matplotlib.pyplot as plt\n", "\n", "def generate_data(beta , sig, n):\n", " u = np.random.rand(n, 1)\n", " y = (u ** np.arange(0, 4)) @ beta + sig * np.random.randn(n, 1)\n", " return u, y\n", "\n", "'''\n", "y = a[0]*eval_legendre(0,x) + a[1]*eval_legendre(1,x) + \\\n", " a[2]*eval_legendre(2,x) + a[3]*eval_legendre(3,x) + \\\n", " a[4]*eval_legendre(4,x) + 0.2*np.random.randn(N)\n", "\n", "X = np.column_stack((eval_legendre(0,x), eval_legendre(1,x), \\\n", " eval_legendre(2,x), eval_legendre(3,x), \\\n", " eval_legendre(4,x)))\n", "theta = np.linalg.lstsq(X, y, rcond=None)[0]\n", "t = np.linspace(-1, 1, 50);\n", "yhat = theta[0]*eval_legendre(0,t) + theta[1]*eval_legendre(1,t) + \\\n", " theta[2]*eval_legendre(2,t) + theta[3]*eval_legendre(3,t) + \\\n", " theta[4]*eval_legendre(4,t)\n", "'''\n", "\n", "\n", "np.random.seed(12)\n", "beta = np.array([[10, -140, 400, -250]]).T\n", "#beta = np.array([[-0.001, 0.01, 0.55, 1.5,1.2]]).T\n", "n = 20\n", "sig = 2\n", "u, y = generate_data(beta , sig, n)\n", "xx = np.arange(np.min(u), np.max(u)+5e-3, 5e-3)\n", "yy = np.polyval(np.flip(beta), xx)\n", "plt.plot(u, y, '.', markersize=8)\n", "plt.plot(xx, yy, '--',linewidth=3)\n", "\n", "# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", "plt.xlabel(r'$x$',fontsize=13)\n", "plt.ylabel(r'$Y$',fontsize=13)\n", "plt.legend(['dados','real'])\n", "plt.show()\n", "# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "5b3867b9", "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "max_p = 18\n", "p_range = np.arange(1, max_p + 1, 1)\n", "X = np.ones((n, 1))\n", "betahat, trainloss = {}, {}\n", "\n", "for p in p_range: # p é o número de parâmetros\n", " if p > 1:\n", " X = np.hstack((X, u**(p-1))) # adiciona uma coluna\n", "\n", " betahat[p] = solve(X.T @ X, X.T @ y)\n", " trainloss[p] = (norm(y - X @ betahat[p])**2/n)\n", "\n", "p = [2, 4, 16] # selecionando três curvas\n", "\n", "plots = [plt.plot(u, y, 'k.', markersize=8)[0], \n", " plt.plot(xx, yy, 'k--',linewidth=3)[0]]\n", "\n", "for i in p:\n", " yy = np.polyval(np.flip(betahat[i]), xx) # invertendo o betahat para colocar na func polyval\n", " plots.append(plt.plot(xx, yy)[0])\n", "\n", "# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", "plt.xlabel(r'$x$',fontsize=13)\n", "plt.ylabel(r'$Y$',fontsize=13)\n", "plt.legend(plots,('dados', 'curva real','$p=2$, underfit',\n", " '$p=4$, ordem correta','$p=16$, overfit','d'))\n", "plt.savefig('polyfitpy.pdf',format='pdf')\n", "plt.show()\n", "# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n" ] }, { "cell_type": "markdown", "id": "8a83fe45", "metadata": {}, "source": [ "## Gerando dados de teste" ] }, { "cell_type": "code", "execution_count": 17, "id": "48b83d4f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":13: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"b\" (-> color=(0.0, 0.0, 1.0, 1)). The keyword argument will take precedence.\n", " plt.plot(p_range, MSE_test, 'b', p_range, MSE_test, 'o',color='C0')\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "u_test, y_test = generate_data(beta, sig, n)\n", "\n", "MSE_test = []\n", "X_test = np.ones((n, 1))\n", "\n", "for p in p_range:\n", " if p > 1:\n", " X_test = np.hstack((X_test, u_test**(p-1)))\n", "\n", " y_hat = X_test @ betahat[p] # predictions\n", " MSE_test.append(np.sum((y_test - y_hat)**2/n))\n", "# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", "plt.plot(p_range, MSE_test, 'b', p_range, MSE_test, 'o',color='C0')\n", "#plt.plot(p_range,list(trainloss.values()),'.',color='C1')\n", "\n", "plt.xticks(ticks=p_range)\n", "plt.xlabel(r'Numero de parametros $p$',fontsize=13)\n", "plt.ylabel(r'MSE teste',fontsize=13)\n", "plt.tight_layout()\n", "plt.show()\n", "# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%" ] }, { "cell_type": "code", "execution_count": null, "id": "d823ea77", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }