{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Your First Model\n", "\n", "Example created by Wilson Rocha Lacerda Junior\n", "\n", "> **Looking for more details on NARMAX models?**\n", "> For comprehensive information on models, methods, and a wide range of examples and benchmarks implemented in SysIdentPy, check out our book:\n", "> [*Nonlinear System Identification and Forecasting: Theory and Practice With SysIdentPy*](https://sysidentpy.org/book/0%20-%20Preface/)\n", ">\n", "> This book provides in-depth guidance to support your work with SysIdentPy." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we import the NARMAX model, the metric for model evaluation and the methods to generate sample data for tests. Also, we import pandas for specific usage." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "pip install sysidentpy" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from sysidentpy.model_structure_selection import FROLS\n", "from sysidentpy.basis_function import Polynomial\n", "from sysidentpy.parameter_estimation import LeastSquares\n", "from sysidentpy.metrics import root_relative_squared_error\n", "from sysidentpy.utils.generate_data import get_siso_data\n", "from sysidentpy.utils.display_results import results\n", "from sysidentpy.utils.plotting import plot_residues_correlation, plot_results\n", "from sysidentpy.residues.residues_correlation import (\n", " compute_residues_autocorrelation,\n", " compute_cross_correlation,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generating 1 input 1 output sample data\n", "\n", "The data is generated by simulating the following model:\n", "\n", "$y_k = 0.2y_{k-1} + 0.1y_{k-1}x_{k-1} + 0.9x_{k-1} + e_{k}$\n", "\n", "If *colored_noise* is set to True:\n", "\n", "$e_{k} = 0.8\\nu_{k-1} + \\nu_{k}$\n", "\n", "where $x$ is a uniformly distributed random variable and $\\nu$ is a gaussian distributed variable with $\\mu=0$ and $\\sigma=0.1$\n", "\n", "In the next example we will generate a data with 1000 samples with white noise and selecting 90% of the data to train the model. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "x_train, x_valid, y_train, y_valid = get_siso_data(\n", " n=1000, colored_noise=False, sigma=0.0001, train_percentage=90\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To obtain a NARMAX model we have to choose some values, *e.g*, the nonlinearity degree (*degree*), the maximum lag for the inputs and output (*xlag* and *ylag*).\n", "\n", "In addition, you can select the information criteria to be used with the Error Reduction Ratio to select the model order and the method to estimate the model parameters:\n", "\n", "- Information Criteria: aic, aicc, bic, lilc, fpe\n", "- Parameter Estimation: LeastSquares, TotalLeastSquares, RecursiveLeastSquares, NonNegativeLeastSquares, LeastMeanSquares and many more (see the docs)\n", "\n", "The *n_terms* values is optional. It refer to the number of terms to include in the final model. You can set this value based on the information criteria (see below) or based on priori information about the model structure. The default value is *n_terms=None*, so the algorithm will choose the minimum value reached by the information criteria.\n", "\n", "To use information criteria you have to set *order_selection=True*. You can also select *n_info_values* (default = 15)." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "scrolled": false }, "outputs": [], "source": [ "basis_function = Polynomial(degree=2)\n", "estimator = LeastSquares()\n", "model = FROLS(\n", " order_selection=True,\n", " n_info_values=3,\n", " ylag=2,\n", " xlag=2,\n", " info_criteria=\"aic\",\n", " estimator=estimator,\n", " err_tol=None,\n", " basis_function=basis_function,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model Structure Selection\n", "\n", "The *fit* method executes the Error Reduction Ratio algorithm using Househoulder reflection to select the model structure.\n", "\n", "Enforcing keyword-only arguments in *fit* and *predict* methods as well. This is an effort to promote clear and non-ambiguous use of the library." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.fit(X=x_train, y=y_train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Free run simulation\n", "\n", "The *predict* method is use to generate the predictions. For now we only support *free run simulation* (also known as *infinity steps ahead*). Soon will let the user define a *one-step ahead* or *k-step ahead* prediction." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "yhat = model.predict(X=x_valid, y=y_valid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaluate the model\n", "\n", "In this example we use the *root_relative_squared_error* metric because it is often used in System Identification. More metrics and information about it can be found on documentation." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.00017649882109753117\n" ] } ], "source": [ "rrse = root_relative_squared_error(y_valid, yhat)\n", "print(rrse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*model_object.results* return the selected model regressors, the estimated parameters and the ERR values. As shown below, the algorithm detect the exact model that was used for simulate the data." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Regressors Parameters ERR\n", "0 x1(k-2) 9.0001E-01 9.57604864E-01\n", "1 y(k-1) 2.0000E-01 3.88976063E-02\n", "2 x1(k-1)y(k-1) 9.9992E-02 3.49749526E-03\n" ] } ], "source": [ "r = pd.DataFrame(\n", " results(\n", " model.final_model,\n", " model.theta,\n", " model.err,\n", " model.n_terms,\n", " err_precision=8,\n", " dtype=\"sci\",\n", " ),\n", " columns=[\"Regressors\", \"Parameters\", \"ERR\"],\n", ")\n", "print(r)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition, you can access the *residuals* and *plot_result* methods to take a look at the prediction and two residual analysis. The *extras* and *lam* values below contain another residues analysis so you can plot it manually. This method will be improved soon. " ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Solarize_Light2',\n", " '_classic_test_patch',\n", " '_mpl-gallery',\n", " '_mpl-gallery-nogrid',\n", " 'bmh',\n", " 'classic',\n", " 'dark_background',\n", " 'fast',\n", " 'fivethirtyeight',\n", " 'ggplot',\n", " 'grayscale',\n", " 'seaborn-v0_8',\n", " 'seaborn-v0_8-bright',\n", " 'seaborn-v0_8-colorblind',\n", " 'seaborn-v0_8-dark',\n", " 'seaborn-v0_8-dark-palette',\n", " 'seaborn-v0_8-darkgrid',\n", " 'seaborn-v0_8-deep',\n", " 'seaborn-v0_8-muted',\n", " 'seaborn-v0_8-notebook',\n", " 'seaborn-v0_8-paper',\n", " 'seaborn-v0_8-pastel',\n", " 'seaborn-v0_8-poster',\n", " 'seaborn-v0_8-talk',\n", " 'seaborn-v0_8-ticks',\n", " 'seaborn-v0_8-white',\n", " 'seaborn-v0_8-whitegrid',\n", " 'tableau-colorblind10']" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt.style.available" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_results(\n", " y=y_valid,\n", " yhat=yhat,\n", " n=1000,\n", " title=\"test\",\n", " xlabel=\"Samples\",\n", " ylabel=r\"y, $\\hat{y}$\",\n", " data_color=\"#1f77b4\",\n", " model_color=\"#ff7f0e\",\n", " marker=\"o\",\n", " model_marker=\"*\",\n", " linewidth=1.5,\n", " figsize=(10, 6),\n", " style=\"seaborn-v0_8-notebook\",\n", " facecolor=\"white\",\n", ")\n", "ee = compute_residues_autocorrelation(y_valid, yhat)\n", "plot_residues_correlation(\n", " data=ee, title=\"Residues\", ylabel=\"$e^2$\", style=\"seaborn-v0_8-notebook\"\n", ")\n", "x1e = compute_cross_correlation(y_valid, yhat, x_valid)\n", "plot_residues_correlation(\n", " data=x1e, title=\"Residues\", ylabel=\"$x_1e$\", style=\"seaborn-v0_8-notebook\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting the *n_terms* parameter\n", "\n", "In the example above we let the number of terms to compose the final model to be defined as the minimum value of the information criteria. Once you ran the algorithm and choose the best number of parameters, you can turn *order_selection* to *False* and set the *n_terms* value (3 in this example). Here we have a small dataset, but in bigger data this can be critical because running information criteria algorithm is more computational expensive. Since we already know the best number of regressor, we set *n_terms* and we get the same result.\n", "\n", "However, this is not only critical because computational efficiency. In many situation, the minimum value of the information criteria can lead to overfitting. In some cases, the difference between choosing a model with 30 regressors or 10 is minimal, so you can take the model with 10 terms without loosing accuracy.\n", "\n", "In the following we use *info_values* to plot the information criteria values. As you can see, the minimum value relies where $xaxis = 5$ " ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Information Criteria')" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xaxis = np.arange(1, model.n_info_values + 1)\n", "plt.plot(xaxis, model.info_values)\n", "plt.xlabel(\"n_terms\")\n", "plt.ylabel(\"Information Criteria\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```{note}\n", " Here we are creating random samples with white noise and letting the algorithm choose\n", " the number of terms based on the minimum value of information criteria.\n", " This is not the best approach in System Identification, but serves as a simple example.\n", " The information criteria must be used as an __auxiliary tool__ to select *n_terms*.\n", " Plot the information values to help you on that!\n", "\n", " If you run the example above several times you might find some cases where the\n", " algorithm choose only the first two regressors, or four (depending on the information\n", " criteria method selected). This is because the minimum value of information criteria\n", " depends on residual variance (affected by noise) and have some limitations in nonlinear\n", " scenarios. However, if you check the ERR values (robust to noise) you will see that the\n", " ERR is ordering the regressors in the correct way!\n", "\n", " We have some examples on *information_criteria* notebook!\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The *n_info_values* limits the number of regressors to apply the information criteria. We choose $n_y = n_x = \\ell = 2$, so the candidate regressor is a list of 15 regressors. We can set *n_info_values = 15* and see the information values for all regressors. This option can save some amount of computational resources when dealing with multiples inputs and large datasets." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Information Criteria')" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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0VEFBQfL19ZWvr2+dY2zXcFRsbKxiY2Ptz81ms1PnX4weuL6T3vjiiH48XaxnNx5UUrdohQR4xY8qAACAnVfMaEdGRqpr1671Pvz9/dWvXz8FBATo0KFD9nPLy8v1ww8/qEOHDpKkxMREffXVVzW6g2zZskWhoaH2gJ6YmKi0tLQaNWzZskWJiYmSZH+v6mMsFovS0tLsY9B4AS18NW901b+LXHOplm/7zuCKAAAAnOcVQdtRoaGhevjhhzV//nx9+OGHOnTokB555BFJ0u233y5JGjlypLp3764JEyZo3759+uCDDzR37lxNmTJFAQEBkqSHH35Y33//vZ544gllZWXplVde0RtvvKEZM2bY3yslJUV/+ctftGbNGh08eFCPPPKIioqKdN999zX/B78IDe8apaFXRkqSVn36vX48XWRwRQAAAM656H4f//zzz6tFixaaMGGCzp07p4EDB2rr1q0KDw+XJPn6+mr9+vV65JFHlJiYqJCQEE2cOFGLFi2yX6NTp07asGGDZsyYoWXLlik+Pl6rVq1ScnKyfcydd96pkydPat68ecrJyVHv3r21efPmWjdIonFMJpPmje6uT77ZrvJKq7Z8nasHru9sdFkAAAAOu6j6aF8MLuU+2nW59vdb9VPBOU1M7KCFt/QwuhwAAACHXVRLR3DxiQ8PkiQdyT9ncCUAAADOIWjDoyVEBEuSjuYXG1wJAACAcwja8Gj2Ge28c2xeAwAAvApBGx4tIbxqRvtceaXyisoMrgYAAMBxBG14NNuMtsQ6bQAA4F0I2vBotjXaknQkj3XaAADAexC04dGiQwPl52uSJB1lRhsAAHgRgjY8mq+PSXGtbS3+mNEGAADeg6ANj2e7IZIZbQAA4E0I2vB4thsij7JGGwAAeBGCNjyefdOagnOyWOilDQAAvANBGx7PNqNdVmHRybOlBlcDAADgGII2PF58+C8t/tiKHQAAeAuCNjxeQvVNa/K4IRIAAHgHgjY8XmSrAAW0qPpRZdMaAADgLQja8Hgmk+mXziO0+AMAAF6CoA2vYFunzaY1AADAWxC04RUSIpjRBgAA3oWgDa9gm9E+VnBOlfTSBgAAXoCgDa9g24a9wmJVjrnE4GoAAAAaRtCGV4iv0eKPddoAAMDzEbThFWzbsEsEbQAA4B0I2vAK4cF+Cvb3lcQNkQAAwDsQtOEVTCaTfZ02Lf4AAIA3IGjDa9DiDwAAeBOCNryGrcXfUdZoAwAAL0DQhtewdR7JMZeorMJicDUAAAD1I2jDa9hmtC1W6Xghy0cAAIBnI2jDa9jWaEus0wYAAJ6PoA2vYZvRluilDQAAPB9BG14jLMhPoYEtJNHiDwAAeD6CNryKbYdIlo4AAABPR9CGV7F1HmHpCAAA8HQEbXgV2+6QzGgDAABPR9CGV7HNaJ84U6qS8kqDqwEAALgwgja8im2NtiT9VMCsNgAA8FwEbXgVWvwBAABvQdCGV7EtHZGkI6zTBgAAHoygDa8SEtBCESH+kqSj9NIGAAAejKANr5Pw86z20TxmtAEAgOciaMPrxNs3rWFGGwAAeC6CNryOfdMa1mgDAAAPRtCG17FtWpNXVKai0gqDqwEAAKgbQRtep3rnEXaIBAAAnoqgDa9TfdMaemkDAABPRdCG12nXuvqMNkEbAAB4JoI2vE6gn6+iWgVI4oZIAADguQja8EoJtPgDAAAejqANr2Rv8cemNQAAwEMRtOGVbC3+mNEGAACeqlFB+7vvvtPcuXN1xx13aMyYMbUeRvrmm290yy23qG3btgoNDdV1112nbdu21RiTnZ2tUaNGKTg4WFFRUXr88cdVUVGzH/PHH3+svn37KiAgQF26dNHq1atrvdfLL7+sjh07KjAwUAMHDtTu3bvd+dFQjW1G21xSocJz5QZXAwAAUJvTQfvzzz/X1Vdfrbfffltvv/22jhw5ov3792v9+vXKzMzU2bNn3VGnw0aPHq2Kigpt3bpVGRkZ6tWrl0aPHq2cnBxJUmVlpUaNGqWysjLt2LFDa9as0erVqzVv3jz7NQ4fPqxRo0Zp2LBhyszM1PTp0/XAAw/ogw8+sI9Zt26dUlJSNH/+fO3Zs0e9evVScnKyTpw40eyf+VJUvcUfs9oAAMATmaxWq9WZE4YNG6YOHTror3/9q/z8/PTFF1+ob9++2rFjh8aPH6+VK1cqOTnZXfXW69SpU4qMjNQnn3yi66+/XpJ05swZhYaGasuWLUpKStKmTZs0evRoHTt2TNHR0ZKkFStWaNasWTp58qT8/f01a9YsbdiwQfv377df+6677lJBQYE2b94sSRo4cKCuueYaLV++XJJksViUkJCgadOmKTU1tdGfwWw2KywsTIWFhQoNDW30dS52P54u0pDnP5YkrfhtP93YI8bYggAAAM7j9Iz2vn37NH78ePn4VJ1aUlIiSRo8eLAWLFjQpJDZVG3atNGVV16pv/3tbyoqKlJFRYVee+01RUVFqV+/fpKk9PR09ezZ0x6yJSk5OVlms1kHDhywj0lKSqpx7eTkZKWnp0uSysrKlJGRUWOMj4+PkpKS7GMcdfz4ce3Zs8f+yMzMbMxHv+TEhgXJx1T1Z2a0AQCAJ2rh7Akmk0n+/v4ymUyKiorSjz/+qMGDB0uS4uPj9c0337i8SGdq++ijjzR27Fi1atVKPj4+ioqK0ubNmxUeHi5JysnJqRGyJdmf25aXXGiM2WzWuXPnlJ+fr8rKyjrHZGVlOVXza6+9poULFzp1DiT/Fj6KCQ3UscIStmEHAAAeyekZ7e7du+s///mPJCkxMVFLly7V/v37dejQIf3+97/XZZdd5vIiU1NTZTKZ6n1kZWXJarVqypQpioqK0qeffqrdu3dr7Nixuvnmm3X8+HGX1+UKDz30kDIyMuyP7du3G12S14j/eZ0227ADAABP5PSM9oMPPqgff/xRkvTss89q5MiR6tWrlyQpJCREb731lmsrlDRz5kxNmjSp3jGdO3fW1q1btX79euXn59vXN7/yyivasmWL1qxZo9TUVMXExNTqDpKbmytJiomJsf/T9lr1MaGhoQoKCpKvr698fX3rHGO7hqNiY2MVGxtrf242m506/1KWEB6s3YfzmNEGAAAeyemgPWHCBPufu3XrpoMHDyo9PV3nzp3ToEGDFBUV5dICJSkyMlKRkZENjisurprZtK0ft/Hx8ZHFYpFUNQu/ePFinThxwl7rli1bFBoaqu7du9vHbNy4scY1tmzZosTEREmSv7+/+vXrp7S0NI0dO1ZS1c2QaWlpmjp1auM/KJxi37Qmv1hWq1Umk8ngigAAAH7hdNA+X8uWLXXDDTe4opYmS0xMVHh4uCZOnKh58+YpKChIf/nLX+zt+iRp5MiR6t69uyZMmKAlS5YoJydHc+fO1ZQpUxQQECBJevjhh7V8+XI98cQTuv/++7V161a98cYb2rBhg/29UlJSNHHiRPXv318DBgzQiy++qKKiIt13332GfPZLka3FX3FZpfKLyxUR4m9wRQAAAL9wKGj/61//0vDhw9W6dWv961//anD8rbfe2uTCGqNt27bavHmz5syZo+HDh6u8vFxXXXWV3n33XfvyFl9fX61fv16PPPKIEhMTFRISookTJ2rRokX263Tq1EkbNmzQjBkztGzZMsXHx2vVqlU12hbeeeedOnnypObNm6ecnBz17t1bmzdvrnWDJNzHNqMtVa3TJmgDAABP4lAfbR8fH+3cuVMDBgyotSyj1gVNJlVWVrqswEsNfbQd91PBOV37+62SpOV399Hoq+MMrggAAOAXDs1oHz582H7D3uHDh91aEOComNBAtfAxqcJi5YZIAADgcRwK2h06dJBUtTnN22+/rZEjR6pHjx5uLQxoiK+PSXGtg5SdV0yLPwAA4HGc6qMdGBiouXPn6vTp0+6qB3BKQkTVOm1mtAEAgKdxesOa3r176+uvv3ZHLYDT4lv/vGkN27ADAAAP43R7v2XLlumee+5RZGSkbrrpJgUHB7ujLsAhthntn/LP0UsbAAB4FKeD9vDhw1VWVqY777xTkhQcHFwj3JhMJhUWFrquQqAe8eFVf9ErrbDo5JlSRYUGGlwRAABAFaeD9syZM5k1hMewzWhL0pH8cwRtAADgMZwO2gsWLHBDGUDj2Ga0JelofrH6dQg3sBoAAIBfOH0zZHVHjhzRjh07VFRU5Kp6AKdEtgyQf4uqH2Na/AEAAE/SqKC9cuVKtWvXTh06dND111+vQ4cOSZJ+85vfaNmyZS4tEKiPj49J8a1p8QcAADyP00H7xRdf1LRp03Tvvffqww8/VPUd3IcOHao333zTpQUCDYmPoMUfAADwPE6v0f7zn/+sp556SnPnzlVlZWWNY1deeaV9dhtoLgnhzGgDAADP4/SM9k8//aTBgwfXeczPz09nz55tclGAM2w3RB4rOKdKi7WB0QAAAM3D6aDdoUMH7d69u85ju3bt0hVXXNHkogBn2Fr8lVdalWsuMbgaAACAKk4H7f/6r//SM888o7/+9a8ym82SpPLycm3YsEHPP/+8HnroIZcXCdSneos/Oo8AAABP4fQa7ccee0zZ2dl68MEH7aH62muvlST993//t/77v//btRUCDbCt0ZaqNq0ZaGAtAAAANk4HbUl66aWXNH36dH300Uc6deqUIiIiNGLECF1++eWurg9oUESIv4L8fHWuvFJH6TwCAAA8hNNB+5NPPlHfvn3VuXNnPfjggzWOFRUVKSMjQ7/61a9cViDQEJPJpISIIH2Te1ZH8ug8AgAAPIPTa7SHDRumr7/+us5jWVlZGjZsWJOLApyV8PM6bWa0AQCAp3A6aFffoOZ8RUVFCgoKuuBxwF3i6aUNAAA8jENLR3bu3KkdO3bYn69du1afffZZjTElJSV699131a1bN9dWCDgg4efdIY8XnlN5pUV+vk7/HRIAAMClHAraH3zwgRYuXCipaj3sSy+9VGuMn5+funXrpldeecW1FQIOsM1oW6zS8YIStW8T3MAZAAAA7uXQtN/8+fNlsVhksVhktVq1c+dO+3Pbo7S0VJmZmRfcNRJwpxq9tFmnDQAAPIDTXUcsFos76gCaJKFa0OaGSAAA4AkcCtp79uxRt27dFBQUpD179jQ4vm/fvk0uDHBGWLCfWgW20JmSClr8AQAAj+BQ0O7fv7927typAQMGqH///jKZTHWOs1qtMplMqqysdGmRgCPiw4N18LiZGW0AAOARHAra27ZtU/fu3e1/BjxRQniQDh436wgt/gAAgAdwKGgPGTJEklRWVqbTp0+rd+/e6ty5s1sLA5xla/HHjDYAAPAETjUb9vf31913363s7Gx31QM0mq3FX665VCXlLF8CAADGcnpXj65duxK04ZGqdx45VsDyEQAAYCyng/Zzzz2nZ555Rl988YU76gEaLT4iyP5n1mkDAACjOd1H+4knntDp06c1cOBAtWnTRtHR0TW6kJhMJu3bt8+lRQKOqLFpTR7rtAEAgLGcDtr9+vVT//793VEL0CQtA1ooPNhP+cXlOsqMNgAAMJjTQXv16tVuKANwjYSIYOUXF7INOwAAMJzDa7S/+uorHT169ILHf/rpJ3311VcuKQpoLNsNkcxoAwAAozkUtN9++20NGDBABQUFFxyTn5+vgQMH6r333nNVbYDTbC3+jrJGGwAAGMyhoL1q1Srdf//96tGjxwXH9OjRQ5MnT9aKFStcVhzgrPifN605XVSm4rIKg6sBAACXMoeC9u7du3XTTTc1OO7GG2/U7t27m1wU0Fi2GW2J5SMAAMBYDgXtoqIihYaGNjguNDRUZ8+ebXJRQGMl0OIPAAB4CIeCdkxMjA4ePNjguK+//loxMTFNLgpoLGa0AQCAp3AoaI8cOVJLly5VUVHRBcecPXtWf/rTn3TjjTe6rDjAWYF+vopsFSCJGW0AAGAsh4L2nDlzdOLECQ0ePFgbN25UaWmp/VhZWZk2bdqk66+/XidOnNDs2bPdVizgCHvnEWa0AQCAgRwK2h06dNCmTZuUn5+vm2++Wa1atVK7du0UHx+vVq1aafTo0crLy9OmTZvUoUMHd9cM1Mu2TptNawAAgJEc3hly0KBB+vbbb/XGG2/ok08+0U8//SRJateunYYOHarbbrtNAQEBbisUcFRCBDPaAADAeE5twR4QEKAJEyZowoQJ7qoHaLL4n2e0C8+Vy1xSrtBAP4MrAgAAlyKHt2AHvEX1Fn9H85jVBgAAxiBo46JTvcUf67QBAIBRCNq46MS1DpLJVPVnWvwBAACjELRx0fFv4aOY0EBJ3BAJAACMQ9DGRcm2TvsoS0cAAIBBGh20jx07pt27d+uTTz6p9XCXxYsXa/DgwQoODlbr1q3rHJOdna1Ro0YpODhYUVFRevzxx1VRUVFjzMcff6y+ffsqICBAXbp00erVq2td5+WXX1bHjh0VGBiogQMHavfu3TWOl5SUaMqUKWrTpo1atmypcePGKTc311UfFU0UT4s/AABgMKfa+0nS999/rwkTJmjnzp2SJKvVWuO4yWRSZWWla6o7T1lZmW6//XYlJibqr3/9a63jlZWVGjVqlGJiYrRjxw4dP35c9957r/z8/PTss89Kkg4fPqxRo0bp4Ycf1j/+8Q+lpaXpgQceUGxsrJKTkyVJ69atU0pKilasWKGBAwfqxRdfVHJysg4dOqSoqChJ0owZM7Rhwwa9+eabCgsL09SpU3Xrrbfq//7v/9zy2eEcW4u/I3nFslqtMtkWbQMAADQTk/X8pNyAESNG6LvvvtOiRYvUvXt3+fv71xrTq1cvlxVYl9WrV2v69OkqKCio8fqmTZs0evRoHTt2TNHR0ZKkFStWaNasWTp58qT8/f01a9YsbdiwQfv377efd9ddd6mgoECbN2+WJA0cOFDXXHONli9fLkmyWCxKSEjQtGnTlJqaqsLCQkVGRmrt2rW67bbbJElZWVnq1q2b0tPTNWjQoEZ/NrPZrLCwMBUWFio0NLTR17nUvfnFET3+1peSpL1P3aDwkNo/pwAAAO7k9Iz27t27tWbNGt16663uqKdJ0tPT1bNnT3vIlqTk5GQ98sgjOnDggPr06aP09HQlJSXVOC85OVnTp0+XVDVrnpGRodmzZ9uP+/j4KCkpSenp6ZKkjIwMlZeX17hO165d1b59e6eD9vHjx3X8+HH787Nnzzr1mVG3+Gq9tI/kFxO0AQBAs3M6aLdr106+vr7uqKXJcnJyaoRsSfbnOTk59Y4xm806d+6c8vPzVVlZWeeYrKws+zX8/f1rrROPjo62v4+jXnvtNS1cuNCpc9Aw2zbsknQk75yujm9tXDEAAOCS5PTNkIsXL9bvf/975eXluaSA1NRUmUymeh+2gHsxeuihh5SRkWF/bN++3eiSLgoxoYHy9alal03nEQAAYASnZ7RXr16to0ePqmPHjurdu3etWV2TyaR3333X4evNnDlTkyZNqndM586dHbpWTExMre4gtk4gMTEx9n+e3x0kNzdXoaGhCgoKkq+vr3x9fescU/0aZWVlKigoqPH5q49xVGxsrGJjY+3PzWazU+ejbi18fRTXOlBH8s6xOyQAADCE00H77Nmz6tKli/35mTNnmlRAZGSkIiMjm3QNm8TERC1evFgnTpywdwfZsmWLQkND1b17d/uYjRs31jhvy5YtSkxMlCT5+/urX79+SktL09ixYyVV3QyZlpamqVOnSpL69esnPz8/paWlady4cZKkQ4cOKTs7234dGC++dbCO5J2jxR8AADCE00F727Zt7qjDIdnZ2crLy1N2drYqKyuVmZkpSerSpYtatmypkSNHqnv37powYYKWLFminJwczZ07V1OmTFFAQIAk6eGHH9by5cv1xBNP6P7779fWrVv1xhtvaMOGDfb3SUlJ0cSJE9W/f38NGDBAL774ooqKinTfffdJksLCwjR58mSlpKQoIiJCoaGhmjZtmhITE5vUcQSulRARpPTv2YYdAAAYw+mgbaR58+ZpzZo19ud9+vSRVBX+hw4dKl9fX61fv16PPPKIEhMTFRISookTJ2rRokX2czp16qQNGzZoxowZWrZsmeLj47Vq1Sp7D21JuvPOO3Xy5EnNmzdPOTk56t27tzZv3lzjBsk//elP8vHx0bhx41RaWqrk5GS98sorzfAtwFG/7A55jl7aAACg2TndR1uS9u7dq2effVafffaZ8vLyFBERoeuvv16zZ8+2h180Dn20Xeffe49qxrp9kqTdc0YoqlWgwRUBAIBLidMz2p9++qluuOEGxcTEaPz48YqOjlZubq7+/e9/a/DgwdqyZYuuu+46d9QKOCWhWi/to/nnCNoAAKBZOT2jfe2116pVq1Zav369WrT4Jafbtj8/e/asPvvsM5cXeqlgRtt1cgpLNOi5NEnSsrt665be7QyuCAAAXEqc7qO9d+9e/e53v6sRsiXJ19dXv/vd77Rnzx6XFQc0RVSrAPn7Vv2I03kEAAA0N6eDdkhIiE6cOFHnsdzcXIWEhDS5KMAVfHxMahdetUMkm9YAAIDm5nTQvvnmmzVr1ix99NFHNV7/6KOPNHv2bI0ZM8ZlxQFNFf9z0D6Sx4w2AABoXk7fDLl06VIdOHBAycnJCg0NVVRUlE6cOCGz2axrrrlGf/zjH91RJ9AoCRG2Fn/MaAMAgObldNAODw9Xenq61q9fr88++0z5+fmKiIjQddddp1GjRsnHx+lJcsBtbDPaPxWcU6XFKl8femkDAIDm0agNa3x8fDRmzBiWicDj2Vr8lVdadeJMiWLDggyuCAAAXCocCtp5eXlq3bq1fHx8lJeX1+D4iIiIJhcGuIJtRluqWqdN0AYAAM3FoaAdGRmp9PR0DRgwQG3btm1wK+vKykqXFAc0lW2NtiQdySvWgE78JRAAADQPh4L2//zP/+iyyy6z/7mhoA14ijYh/gry89W58kp6aQMAgGblUNCeOHGi/c+TJk1yVy2Ay5lMJsWHB+nbE2d1hM4jAACgGTndIqRz587at29fncf279+vzp07N7kowJXi2bQGAAAYwOmg/cMPP6i0tLTOY8XFxTpy5EiTiwJcybZOm01rAABAc3Jo6UhJSYmKi4tltVolSWazuVb3kZKSEr3zzjuKi4tzfZVAE9ha/OWYS1RRaVELX3q9AwAA93MoaP/hD3/QokWLJFWteU1OTr7g2AULFrikMMBVbEtHKi1WHS8sqdGJBAAAwF0cCtpjx45Vx44dZbVadf/992vu3Ln2LiQ2/v7+6tatm3r37u2OOoFGO7/FH0EbAAA0B4eCdq9evdSrVy9JVTPao0ePVps2bdxaGOAq1TetocUfAABoLk5vwV691R/gDcKC/NQqoIXOlFbQ4g8AADQbp4O2JH3yySdauXKlvvnmG5WUlNQ6/uWXXza5MMBVTCaT2oUHKSvnDDPaAACg2TjdfuGDDz7Q8OHDderUKX3xxRdKSEhQ27ZtdejQIRUVFal///7uqBNokl9a/DGjDQAAmofTQXv+/PmaPn26NmzYIEl6+umntXXrVn3zzTfy8/PT8OHDXV4k0FS2Fn/MaAMAgObidNA+ePCgfv3rX8vHx0cmk0lFRUWSpA4dOmjBggV65plnXF4k0FS2GyJzz5SotKLS4GoAAMClwOmgHRgYKIvFIpPJpNjYWP3nP/+xH2vVqhU7Q8Ij2ZaOWK3SsYLa9xUAAAC4mtM3Q/bq1UuHDh3SDTfcoBEjRmjx4sVq27at/Pz8NHfuXPXs2dMddQJNUr3F35G8YnVqG2JgNQAA4FLg9Iz29OnTZTKZJEnPPvusWrVqpTFjxujXv/61Tp8+rZdfftnlRQJNVSNo0+IPAAA0A6dntG+66Sb7n9u1a6eMjAx99913OnfunLp27Sp/f3+XFgi4QqtAP7UO9lNBcTk3RAIAgGbRqD7a1ZlMJl1++eWuqAVwq4TwYBUUF9LiDwAANItGBe0jR47onXfe0ZEjR2ptWGMymbRs2TKXFAe4Unx4kL76qZAZbQAA0CycDtpvvPGGJkyYIIvFoqioqFpLRQja8FS2ziNHWaMNAACagdNB+8knn9TYsWO1cuVKhYWFuaMmwC0Sfr4h8tTZMp0rq1SQv6/BFQEAgIuZ011HTp48qQcffJCQDa8T//PukBKz2gAAwP2cDto33nijdu7c6Y5aALdKiKDFHwAAaD5OLx1ZsWKF7rzzThUXF2vEiBFq3bp1rTF9+/Z1RW2AS7VrXX1GmxsiAQCAezkdtM+cOaPi4mI999xz+v3vf1/jmNVqlclkUmVlpcsKBFwlyN9XbVsG6NTZUlr8AQAAt3M6aN97773Kzs7Wn//8Z11xxRVsUAOvEh8epFNnS5nRBgAAbud00N69e7fWrl2rsWPHuqEcwL0SIoKVeaSANdoAAMDtnL4Z8vLLL1dFRYU7agHcztbijxltAADgbk4H7RdeeEGLFy9WVlaWO+oB3MrW4q+guFxnSsoNrgYAAFzMnF46Mn36dOXk5KhHjx6Ki4ur1XXEZDJp3759rqoPcKnqLf6O5p9Tt1g/A6sBAAAXM6eDdv/+/d1RB9Asqm9acySvWN1iQw2sBgAAXMycCtoVFRWaNm2a4uPjFRUV5a6aALeJax0ok0myWqUjrNMGAABu5NQabR8fHw0aNEhffvmlu+oB3Cqgha+iWwVKYht2AADgXk4H7c6dOys/P99d9QBuZ1unfSSPGW0AAOA+TncdefLJJ/X000/r2LFj7qgHcDvbOm1mtAEAgDs5fTPkm2++qZMnT6pz5866+uqrFR0dLZPJZD9uMpn07rvvurRIwJWq99K2Wq01fn4BAABcxemgffbsWXXt2rXGc8CbxEdUzWifLa1Q4blytQ72N7giAABwMXI6aG/bts0ddQDNJj78l17aR/LOEbQBAIBbOL1GG/B2CdV7abNOGwAAuEmjgvbevXt1++23KzY2VgEBAYqNjdUdd9yhvXv3uro+wOViwwLl61O1LpsbIgEAgLs4HbQ//fRTJSYm6vPPP9f48eO1aNEijR8/Xp9//rkGDx6szz77zB11SpIWL16swYMHKzg4uNbW75K0b98+jR8/XgkJCQoKClK3bt20bNmyWuM+/vhj9e3bVwEBAerSpYtWr15da8zLL7+sjh07KjAwUAMHDtTu3btrHC8pKdGUKVPUpk0btWzZUuPGjVNubq6rPircqIWvj2LDqnpp0+IPAAC4i9NBOzU1VUOHDtV3332nF154QbNmzdILL7yg7777TkOGDFFqaqo76pQklZWV6fbbb9cjjzxS5/GMjAxFRUXp9ddf14EDBzRnzhzNnj1by5cvt485fPiwRo0apWHDhikzM1PTp0/XAw88oA8++MA+Zt26dUpJSdH8+fO1Z88e9erVS8nJyTpx4oR9zIwZM/T+++/rzTff1Pbt23Xs2DHdeuutbvvscK14e+cRZrQBAIB7mKxWq9WZE4KDg/XWW2/ppptuqnVs48aNuu2221Rc7N7wsnr1ak2fPl0FBQUNjp0yZYoOHjyorVu3SpJmzZqlDRs2aP/+/fYxd911lwoKCrR582ZJ0sCBA3XNNdfYA7rFYlFCQoKmTZum1NRUFRYWKjIyUmvXrtVtt90mScrKylK3bt2Unp6uQYMGNfqzmc1mhYWFqbCwUKGhoY2+Dur3+Jv79GbGUXWJaqmPUoYYXQ4AALgIOT2jHRISUmNmt7rc3FyFhIQ0uShXKiwsVEREhP15enq6kpKSaoxJTk5Wenq6pKpZ84yMjBpjfHx8lJSUZB+TkZGh8vLyGmO6du2q9u3b28c46vjx49qzZ4/9kZmZ6exHRCMkRPyyaY2Tf9cEAABwiNPt/W6++WbNmjVL8fHxNYLmRx99pNmzZ2vMmDEuLbApduzYoXXr1mnDhg3213JychQdHV1jXHR0tMxms86dO6f8/HxVVlbWOSYrK8t+DX9//1rrxKOjo5WTk+NUja+99poWLlzo1DloOtvSkZJyi06dLVNkqwCDKwIAABcbp2e0ly5dqo4dOyo5OVnh4eG68sorFR4eruTkZHXs2FF//OMfnbpeamqqTCZTvQ9bwHXG/v37dcstt2j+/PkaOXKk0+c3l4ceekgZGRn2x/bt240u6ZJgm9GWaPEHAADcw+kZ7fDwcKWnp2v9+vX67LPPlJ+fr4iICF133XUaNWqUfHycy+4zZ87UpEmT6h3TuXNnp6759ddfa8SIEXrwwQc1d+7cGsdiYmJqdQfJzc1VaGiogoKC5OvrK19f3zrHxMTE2K9RVlamgoKCGrPa1cc4KjY2VrGxsfbnZrPZqfPRONU3rTmaf05924cbWA0AALgYORS0+/btq7///e+66qqrtGjRIj3wwAMaM2aMS5aJREZGKjIyssnXsTlw4ICGDx+uiRMnavHixbWOJyYmauPGjTVe27JlixITEyVJ/v7+6tevn9LS0jR27FhJVTdDpqWlaerUqZKkfv36yc/PT2lpaRo3bpwk6dChQ8rOzrZfB54tulWg/HxNKq+06kgeM9oAAMD1HAra+/fv15kzZyRJCxcu1I033qi4uDi3FlaX7Oxs5eXlKTs7W5WVlfYbB7t06aKWLVtq//79Gj58uJKTk5WSkmJfL+3r62sP8w8//LCWL1+uJ554Qvfff7+2bt2qN954o8Y67pSUFE2cOFH9+/fXgAED9OKLL6qoqEj33XefJCksLEyTJ09WSkqKIiIiFBoaqmnTpikxMbFJHUfQfHx8TGrXOkg/nC7W0Xx6aQMAANdzKGh37NhRq1atUklJiaxWq/bu3auSkpILjv/Vr37lsgKrmzdvntasWWN/3qdPH0nStm3bNHToUL311ls6efKkXn/9db3++uv2cR06dNAPP/wgSerUqZM2bNigGTNmaNmyZYqPj9eqVauUnJxsH3/nnXfq5MmTmjdvnnJyctS7d29t3ry5xg2Sf/rTn+Tj46Nx48aptLRUycnJeuWVV9zyueEeCRHBPwdtZrQBAIDrOdRHe+3atZo8ebLKysokqd52aCaTSZWVla6r8BJDH+3mM/tfX+qfu4+oU9sQbXtsqNHlAACAi4xDM9p33323brnlFh0+fFhXX321/va3v6lnz57urg1wq/jwqs4jP+Wfk8VilY+PyeCKAADAxcThriMhISHq0aOH5s+fr+HDhxuyRhtwJVuLv7JKi06cKVVMWKDBFQEAgIuJ0+395s+f7446gGZXvcXfkfxigjYAAHApp4O2xWLRqlWr9NZbb+no0aN13hT5/fffu6Q4wJ0SwqttWpNXrGs6RhhYDQAAuNg4HbRnzZqlpUuXasiQIRo2bJj8/f3dURfgdm1b+ivQz0cl5RZa/AEAAJdzOmj/4x//0MKFC/XUU0+5ox6g2ZhMJsWHB+u7E2fZtAYAALicc/ulSyopKdHgwYPdUQvQ7GzrtJnRBgAAruZ00L7nnnv0/vvvu6MWoNnZ1mkfYdMaAADgYk4vHRk0aJDmzp2r3Nxc3XDDDWrdunWtMbfeeqsragPcLiGiakb7eGGJKiotauHr9N89AQAA6uR00J4wYYIk6ccff9S6detqHWdnSHgT26Y1lRarjheW2HtrAwAANJXTQfvw4cPuqAMwRI0Wf/nFBG0AAOAyTgftDh06uKMOwBDVN63hhkgAAOBKLEjFJa11sJ9aBlT9ffMoLf4AAIALOTSj3apVK5lMJocuaDKZVFhY2KSigOZS1Us7SFk5Z5jRBgAALuVQ0J45c6bDQRvwNvHhwcrKOUOLPwAA4FIOBe0FCxa4uQzAOGxaAwAA3IE12rjk2TqN5JhLVFpBa0oAAOAaBG1c8hJ+ntG2WqXjBSUGVwMAAC4WBG1c8uLP66UNAADgCgRtXPLiI37ppX0kj3XaAADANQjauOSFBvopLMhPknSUGW0AAOAiBG1AUsLPs9pH6DwCAABchKANSIpvXbVOmxltAADgKgRtQNVmtFmjDQAAXISgDeiXXtqnzpaqpJxe2gAAoOkI2oB+2R1SYvkIAABwDYI2ICmhei9tlo8AAAAXIGgDktoxow0AAFyMoA1ICvZvobYt/SXR4g8AALgGQRv4WbtwWvwBAADXIWgDP0sIp8UfAABwHYI28LN4ZrQBAIALEbSBn9k2rckvLtfZ0gqDqwEAAN6OoA38rGaLP2a1AQBA0xC0gZ/V3LSGddoAAKBpCNrAz6r30mZGGwAANBVBG/hZQAtfRYcGSGJGGwAANB1BG6jGtk77CJ1HAABAExG0gWps67SZ0QYAAE1F0AaqSYj4uZd2XrGsVqvB1QAAAG9G0AaqsS0dOVNaIfM5emkDAIDGI2gD1VRv8cc6bQAA0BQEbaAa29IRiRZ/AACgaQjaQDUxYYHyMVX9mRsiAQBAUxC0gWr8fH0UG1a1fISlIwAAoCkI2sB5aPEHAABcgaANnMe2Tps12gAAoCkI2sB5qs9o00sbAAA0FkEbOI+tl/a58kqdLiozuBoAAOCtCNrAeWjxBwAAXMGrgvbixYs1ePBgBQcHq3Xr1vWOPX36tOLj42UymVRQUFDj2Mcff6y+ffsqICBAXbp00erVq2ud//LLL6tjx44KDAzUwIEDtXv37hrHS0pKNGXKFLVp00YtW7bUuHHjlJub28RPCE9QfdMabogEAACN5VVBu6ysTLfffrseeeSRBsdOnjxZV199da3XDx8+rFGjRmnYsGHKzMzU9OnT9cADD+iDDz6wj1m3bp1SUlI0f/587dmzR7169VJycrJOnDhhHzNjxgy9//77evPNN7V9+3YdO3ZMt956q2s+KAwVHRooP9+qZtq0+AMAAI1lsnrh3V6rV6/W9OnTa81U27z66qtat26d5s2bpxEjRig/P98+Az5r1ixt2LBB+/fvt4+/6667VFBQoM2bN0uSBg4cqGuuuUbLly+XJFksFiUkJGjatGlKTU1VYWGhIiMjtXbtWt12222SpKysLHXr1k3p6ekaNGhQoz+b2WxWWFiYCgsLFRoa2ujroGmGPL9NP54u1t0D2+vZ3/Q0uhwAAOCFvGpG2xFff/21Fi1apL/97W/y8an98dLT05WUlFTjteTkZKWnp0uqmjXPyMioMcbHx0dJSUn2MRkZGSovL68xpmvXrmrfvr19jKOOHz+uPXv22B+ZmZlOnQ/3sN0QyRptAADQWC2MLsCVSktLNX78eD3//PNq3769vv/++1pjcnJyFB0dXeO16Ohomc1mnTt3Tvn5+aqsrKxzTFZWlv0a/v7+tdaJR0dHKycnx6maX3vtNS1cuNCpc+B+tnXaP7FGGwAANJLhM9qpqakymUz1PmwBtyGzZ89Wt27d9Nvf/tbNVbvOQw89pIyMDPtj+/btRpcE/dJ55Gj+OVksXre6CgAAeADDZ7RnzpypSZMm1Tumc+fODl1r69at+uqrr/TWW29Jkn2zkbZt22rOnDlauHChYmJianUHyc3NVWhoqIKCguTr6ytfX986x8TExEiSYmJiVFZWpoKCghqz2tXHOCo2NlaxsbH252az2anz4R62Ge2ySotOni1VdGigwRUBAABvY3jQjoyMVGRkpEuu9fbbb+vcuV9+1f/555/r/vvv16effqrLLrtMkpSYmKiNGzfWOG/Lli1KTEyUJPn7+6tfv35KS0vT2LFjJVXdDJmWlqapU6dKkvr16yc/Pz+lpaVp3LhxkqRDhw4pOzvbfh14t/jwmr20CdoAAMBZhgdtZ2RnZysvL0/Z2dmqrKy03zjYpUsXtWzZ0h6mbU6dOiVJ6tatm33m+eGHH9by5cv1xBNP6P7779fWrVv1xhtvaMOGDfbzUlJSNHHiRPXv318DBgzQiy++qKKiIt13332SpLCwME2ePFkpKSmKiIhQaGiopk2bpsTExCZ1HIHnSIj4pZf2kfxi9e8YYWA1AADAG3lV0J43b57WrFljf96nTx9J0rZt2zR06FCHrtGpUydt2LBBM2bM0LJlyxQfH69Vq1YpOTnZPubOO+/UyZMnNW/ePOXk5Kh3797avHlzjRsk//SnP8nHx0fjxo1TaWmpkpOT9corr7jmg8JwkS0DFNDCR6UVFh3N44ZIAADgPK/so30xo4+25xix9GP952SR7ugfryW39TK6HAAA4GUM7zoCeCrbOm22YQcAAI1B0AYuwLZOm23YAQBAYxC0gQuwzWgfLyhRRaXF4GoAAIC3IWgDF2Dbhr3CYlWOucTgagAAgLchaAMXUKPFH51HAACAkwjawAVU37TmKOu0AQCAkwjawAWEB/spxN9XknSEziMAAMBJBG3gAkwmU7UWf8xoAwAA5xC0gXrY1mmzOyQAAHAWQRuoBzPaAACgsQjaQD3iw6tmtI+bS1RWQS9tAADgOII2UA/bjLbVKh0vZPkIAABwHEEbqAe9tAEAQGMRtIF6VO+lfYR12gAAwAkEbaAeYUF+Cg1sIYkbIgEAgHMI2kADEiKqZrVZOgIAAJxB0AYaYOs8wow2AABwBkEbaEDCz+u02YYdAAA4g6ANNMA2o33yTKlKyisNrgYAAHgLgjbQANsabUk6yqw2AABwEEEbaED1oE2LPwAA4CiCNtCAdq1/2bSGGW0AAOAogjbQgJCAFmoT4i9JOprHjDYAAHAMQRtwwC8t/pjRBgAAjiFoAw6It21awxptAADgIII24ABmtAEAgLMI2oADbJvW5BWVqai0wuBqAACANyBoAw6wzWhLLB8BAACOIWgDDqixaU0ey0cAAEDDCNqAA6r30mZGGwAAOIKgDTgg0M9XUa0CJHFDJAAAcAxBG3CQbfnIETatAQAADiBoAw6ixR8AAHAGQRtwkK3FH2u0AQCAIwjagINsM9pnSipUeK7c4GoAAICnI2gDDqre4o912gAAoCEEbcBBtqUjknSU5SMAAKABBG3AQbGtA+VjqvozN0QCAICGELQBB/n5+ig2rGqdNktHAABAQwjagBPa0eIPAAA4iKANOIEWfwAAwFEEbcAJ1TetsVqtBlcDAAA8GUEbcIKtxV9xWaXyisoMrgYAAHgygjbgBNuMtiQdYZ02AACoB0EbcEL1TWvopQ0AAOpD0AacEBMaqBY/N9M+kseMNgAAuDCCNuAEXx+T4lrbbohkRhsAAFwYQRtwUkLEz5vWsEYbAADUg6ANOCm+ddU6bWa0AQBAfQjagJNsM9pH88/JYqGXNgAAqJtXBe3Fixdr8ODBCg4OVuvWrS84bvXq1br66qsVGBioqKgoTZkypcbxL7/8Utdff70CAwOVkJCgJUuW1LrGm2++qa5duyowMFA9e/bUxo0baxy3Wq2aN2+eYmNjFRQUpKSkJH377bcu+ZzwbPE/7w5ZVmHRqbOlBlcDAAA8lVcF7bKyMt1+++165JFHLjjmhRde0Jw5c5SamqoDBw7oo48+UnJysv242WzWyJEj1aFDB2VkZOj555/XggULtHLlSvuYHTt2aPz48Zo8ebL27t2rsWPHauzYsdq/f799zJIlS/TSSy9pxYoV2rVrl0JCQpScnKySkhL3fHh4DNuMtsRW7AAA4MJMVi/cR3r16tWaPn26CgoKaryen5+vdu3a6f3339eIESPqPPfVV1/VnDlzlJOTI39/f0lSamqq3nnnHWVlZUmS7rzzThUVFWn9+vX28wYNGqTevXtrxYoVslqtiouL08yZM/XYY49JkgoLCxUdHa3Vq1frrrvuavRnM5vNCgsLU2FhoUJDQxt9HbjPCXOJBjybJkl68c7eGtunncEVAQAAT+RVM9oN2bJliywWi3766Sd169ZN8fHxuuOOO3TkyBH7mPT0dP3qV7+yh2xJSk5O1qFDh5Sfn28fk5SUVOPaycnJSk9PlyQdPnxYOTk5NcaEhYVp4MCB9jG4eLVtGSD/FlX/0+GGSAAAcCEtjC7Alb7//ntZLBY9++yzWrZsmcLCwjR37lzdcMMN+vLLL+Xv76+cnBx16tSpxnnR0dGSpJycHIWHhysnJ8f+WvUxOTk59nHVz6trjKOOHz+u48eP25+fPXvWqfPR/Hx8TIoPD9L3J4vYtAYAAFyQ4TPaqampMplM9T5sSzoaYrFYVF5erpdeeknJyckaNGiQ/vnPf+rbb7/Vtm3b3PxJGue1115Tv3797I8hQ4YYXRIcYLsh8mgBM9oAAKBuhs9oz5w5U5MmTap3TOfOnR26VmxsrCSpe/fu9tciIyPVtm1bZWdnS5JiYmKUm5tb4zzb85iYmHrHVD9ue832nrbnvXv3dqhWm4ceekhjxoyxPz979ixh2wskhP+8aQ0z2gAA4AIMD9qRkZGKjIx0ybWuvfZaSdKhQ4cUHx8vScrLy9OpU6fUoUMHSVJiYqLmzJmj8vJy+fn5Sapa233llVcqPDzcPiYtLU3Tp0+3X3vLli1KTEyUJHXq1EkxMTFKS0uzB2uz2axdu3bV2xGlLrGxsTXCutlsdv6Do9nZZrSPFZxTpcUqXx+TwRUBAABPY/jSEWdkZ2crMzNT2dnZqqysVGZmpjIzM+3rmq+44grdcsstevTRR7Vjxw7t379fEydOVNeuXTVs2DBJ0t133y1/f39NnjxZBw4c0Lp167Rs2TKlpKTY3+fRRx/V5s2btXTpUmVlZWnBggX64osvNHXqVEmSyWTS9OnT9cwzz+i9997TV199pXvvvVdxcXEaO3Zss38vaH62Fn8VFqtyzLR0BAAAtRk+o+2MefPmac2aNfbnffr0kSRt27ZNQ4cOlST97W9/04wZMzRq1Cj5+PhoyJAh2rx5s332OiwsTB9++KGmTJmifv36qW3btpo3b54efPBB+3UHDx6stWvXau7cuXryySd1+eWX65133lGPHj3sY5544gkVFRXpwQcfVEFBga677jpt3rxZgYGBzfBNwGi2GW1JOpJXrHatg+oZDQAALkVe2Uf7YkYfbe9w+myp+j3zkSTpj7f30m394g2uCAAAeBqvWjoCeIqIEH8F+/tKqprRBgAAOB9BG2gEk6mql7YkHc2n8wgAAKiNoA00UsLP67SPsDskAACoA0EbaCTbjPZPzGgDAIA6ELSBRkqIqJrRPl54TuWVFoOrAQAAnoagDTSSbUbbYq3auAYAAKA6gjbQSNV7aXNDJAAAOB9BG2gk29IRiRZ/AACgNq/aGRLwJGFBfmoV2EJnSiq07dAJBfj98vdWk0y//NlU19lVLQJ/GV/99Wp/vsB1LjReDryvoxq3lZXzJznyPg0Naega1gau0PD5Fzqvcft91XfahWqt95zzjp0/9Pw6a12q1vnnjW/w+s6df8E6GjihrlcveG0nrnH+daw1Xr/wF1/znAt/ZusFXj//vPr/Hdc9zlrna/WPPf/AheqzXceRz1Lj89fz83Khz1Hftc+/vsPfkwO1Ovbvqfb4plzvQt/VL/8u6/8MF/w+67ym87U39D009L8VZ2qu633q/Llz8OfyssgQPXfr1bWubySCNtAECeHB+vq4WR8cyNUHB3KNLgcAgEvWubJKo0uohaANNMG4fvHK2vC1LI2b2ATgoS70G6SqYw3/NqrqWN0XqX29us+pfb0Garjgb70c+c1YQ5/J2d+uOf5Zzn//89U69wLfV0Pvc6HP6ND3Vsd7uOw3l3V8njq/4zquVde4ut6zzu+sznMbqMXBz95wDbXHNubn7vx627f5ZUmnpzBZG/u7T7iF2WxWWFiYCgsLFRoaanQ5cEBxWYXKK2y/Mmv8r9aqn3+h38L+8ms4R35V+UstjV1GUt9//C54TqPep77rOf4fYIfqcPF71fd56w0P9Z53oXMc/8DOBpv6wl9d793Qj0ZD5zd0nQtdvq7v9MJjHb8GALgDM9pAEwX7t5D8ja4CAAB4GrqOAAAAAG5A0AYAAADcgKANAAAAuAFBGwAAAHADgjYAAADgBgRtAAAAwA0I2gAAAIAbELQBAAAANyBoAwAAAG5A0AYAAADcgKANAAAAuAFBGwAAAHADgjYAAADgBgRtAAAAwA0I2gAAAIAbtDC6ANRktVolSWaz2eBKAAAAUJ9WrVrJZDJd8DhB28OcOXNGkpSQkGBwJQAAAKhPYWGhQkNDL3jcZLVNocIjWCwWHTt2rMG/IV0qMjMzNWTIEG3fvl29e/c2uhyvxHfYNHx/Tcd32DR8f03Hd9g0fH8Xxoy2l/Hx8VF8fLzRZXiMli1b2v9Z398YcWF8h03D99d0fIdNw/fXdHyHTcP313jcDAkAAAC4AUEbAAAAcAOCNjxabGys5s+fr9jYWKNL8Vp8h03D99d0fIdNw/fXdHyHTcP313jcDAkAAAC4ATPaAAAAgBsQtAEAAAA3IGgDAAAAbkDQBgAAANyAoA0AAAC4AUEbAAAAcAOCNgAAAOAGBG0AAADADQjaAAAAgBsQtOGRnnvuOV1zzTVq1aqVoqKiNHbsWB06dMjosrzW73//e5lMJk2fPt3oUrzKTz/9pN/+9rdq06aNgoKC1LNnT33xxRdGl+UVKisr9dRTT6lTp04KCgrSZZddpqefflpsRnxhn3zyiW6++WbFxcXJZDLpnXfeqXHcarVq3rx5io2NVVBQkJKSkvTtt98aU6yHqu87LC8v16xZs9SzZ0+FhIQoLi5O9957r44dO2ZcwR6moZ/B6h5++GGZTCa9+OKLzVafNyJowyNt375dU6ZM0c6dO7VlyxaVl5dr5MiRKioqMro0r/P555/rtdde09VXX210KV4lPz9f1157rfz8/LRp0yZ9/fXXWrp0qcLDw40uzSv84Q9/0Kuvvqrly5fr4MGD+sMf/qAlS5boz3/+s9GleayioiL16tVLL7/8cp3HlyxZopdeekkrVqzQrl27FBISouTkZJWUlDRzpZ6rvu+wuLhYe/bs0VNPPaU9e/boX//6lw4dOqQxY8YYUKlnauhn0Obf//63du7cqbi4uGaqzItZAS9w4sQJqyTr9u3bjS7Fq5w5c8Z6+eWXW7ds2WIdMmSI9dFHHzW6JK8xa9Ys63XXXWd0GV5r1KhR1vvvv7/Ga7feeqv1nnvuMagi7yLJ+u9//9v+3GKxWGNiYqzPP/+8/bWCggJrQECA9Z///KcBFXq+87/Duuzevdsqyfrjjz82T1Fe5ELf39GjR63t2rWz7t+/39qhQwfrn/70p2avzZswow2vUFhYKEmKiIgwuBLvMmXKFI0aNUpJSUlGl+J13nvvPfXv31+33367oqKi1KdPH/3lL38xuiyvMXjwYKWlpembb76RJO3bt0+fffaZfv3rXxtcmXc6fPiwcnJyavxvOSwsTAMHDlR6erqBlXm3wsJCmUwmtW7d2uhSvILFYtGECRP0+OOP66qrrjK6HK/QwugCgIZYLBZNnz5d1157rXr06GF0OV7j//2//6c9e/bo888/N7oUr/T999/r1VdfVUpKip588kl9/vnn+t3vfid/f39NnDjR6PI8Xmpqqsxms7p27SpfX19VVlZq8eLFuueee4wuzSvl5ORIkqKjo2u8Hh0dbT8G55SUlGjWrFkaP368QkNDjS7HK/zhD39QixYt9Lvf/c7oUrwGQRseb8qUKdq/f78+++wzo0vxGkeOHNGjjz6qLVu2KDAw0OhyvJLFYlH//v317LPPSpL69Omj/fv3a8WKFQRtB7zxxhv6xz/+obVr1+qqq65SZmampk+frri4OL4/GK68vFx33HGHrFarXn31VaPL8QoZGRlatmyZ9uzZI5PJZHQ5XoOlI/BoU6dO1fr167Vt2zbFx8cbXY7XyMjI0IkTJ9S3b1+1aNFCLVq00Pbt2/XSSy+pRYsWqqysNLpEjxcbG6vu3bvXeK1bt27Kzs42qCLv8vjjjys1NVV33XWXevbsqQkTJmjGjBl67rnnjC7NK8XExEiScnNza7yem5trPwbH2EL2jz/+qC1btjCb7aBPP/1UJ06cUPv27e3/Xfnxxx81c+ZMdezY0ejyPBYz2vBIVqtV06ZN07///W99/PHH6tSpk9EleZURI0boq6++qvHafffdp65du2rWrFny9fU1qDLvce2119ZqKfnNN9+oQ4cOBlXkXYqLi+XjU3Mux9fXVxaLxaCKvFunTp0UExOjtLQ09e7dW5JkNpu1a9cuPfLII8YW50VsIfvbb7/Vtm3b1KZNG6NL8hoTJkyodb9PcnKyJkyYoPvuu8+gqjwfQRseacqUKVq7dq3effddtWrVyr4GMSwsTEFBQQZX5/latWpVaz17SEiI2rRpwzp3B82YMUODBw/Ws88+qzvuuEO7d+/WypUrtXLlSqNL8wo333yzFi9erPbt2+uqq67S3r179cILL+j+++83ujSPdfbsWX333Xf254cPH1ZmZqYiIiLUvn17TZ8+Xc8884wuv/xyderUSU899ZTi4uI0duxY44r2MPV9h7Gxsbrtttu0Z88erV+/XpWVlfb/tkRERMjf39+osj1GQz+D5//FxM/PTzExMbryyiubu1TvYXTbE6Aukup8/O///q/RpXkt2vs57/3337f26NHDGhAQYO3atat15cqVRpfkNcxms/XRRx+1tm/f3hoYGGjt3Lmzdc6cOdbS0lKjS/NY27Ztq/P/9yZOnGi1Wqta/D311FPW6Ohoa0BAgHXEiBHWQ4cOGVu0h6nvOzx8+PAF/9uybds2o0v3CA39DJ6P9n4NM1mtbNMFAAAAuBo3QwIAAABuQNAGAAAA3ICgDQAAALgBQRsAAABwA4I2AAAA4AYEbQAAAMANCNoAAACAGxC0AQAOy8zM1IIFC1RcXGx0KQDg8QjaAACHZWZmauHChQRtAHAAQRsAYJjS0lJZLBajywAAtyBoA8AlZNKkSerRo4c+/vhj9enTRyEhIRowYIAyMjIaPHf16tW67777JEmRkZEymUzq2LGj/fjRo0f129/+Vm3btlVQUJB+9atf1bpux44dNXXqVC1ZskQdOnRQUFCQ8vLyNHToUI0ePVr//Oc/dfnllys4OFg333yz8vPz9eOPPyo5OVktW7bUVVddpY8//rjGNd977z31799fLVu2VOvWrdW/f39t3Lixyd8VADSVyWq1Wo0uAgDQPCZNmqT169crLi5OqampCgsL0+zZs1VQUKD//Oc/8vPzu+C5J0+e1EsvvaRnnnlGmzdvVlhYmAICAtSnTx/l5+erT58+atmypebMmaOwsDD9+c9/1o4dO/Ttt98qKipKUlXQLi0t1eWXX66UlBT5+voqKSlJv/71r/Xtt98qISFBs2fPVmFhoX73u98pKSlJP/74o+69915deeWVeu6557Rv3z5lZ2erZcuW+s9//qNu3bpp/Pjx+u1vfyuLxaJ9+/apXbt2uueee5rrawWAOrUwugAAQPPKy8vT9u3bddVVV0mSQkJCNGzYMO3atUvXXXfdBc+LjIzUZZddJknq16+f2rZtaz/24osvqqCgQLt377aH6hEjRuiKK67QH//4Ry1ZssQ+try8XJs2bVJISEiN6xcWFmrfvn3263755ZdaunSpXn31VT388MOSpLi4OPXs2VNpaWm65ZZbtHfvXpWXl2v58uVq1aqVJCk5ObmpXxEAuARLRwDgEhMXF2cP2ZLUvXt3SVVLPxrrww8/1LBhwxQREaGKigpVVFTI19dXQ4YM0eeff15j7NChQ2uFbEnq3bt3jfB+xRVXSJKSkpJqvXbkyBFJ0tVXXy1fX1/dfffdev/991VYWNjozwAArkbQBoBLTOvWrWs89/f3lySVlJQ0+pqnTp3SO++8Iz8/vxqPv//97/ZQbBMdHe1UXdVfP7/WK664QuvXr1dhYaF+85vfKDIyUmPGjFF2dnajPwsAuApLRwAATRYREaEbb7xRTz/9dK1jAQEBNZ6bTCaXvveNN96oG2+8UWazWZs3b9aMGTN03333KS0tzaXvAwDOImgDABx2odnvpKQkvf766+rWrVudy0KaQ2hoqO644w7t2rVL//znPw2pAQCqI2gDABzWrVs3SdLLL7+ssWPHKjg4WD179lRKSor+8Y9/aMiQIXr00UfVvn17nTx5Urt27VJcXJxmzJjhlnpee+01paen68Ybb1RsbKwOHz6s119/XSNHjnTL+wGAMwjaAACH9enTRwsWLNCqVau0ZMkSJSQk6IcfflCbNm20c+dOzZ07V7NmzdLp06cVFRWlQYMG6Te/+Y3b6rn66qv1/vvvKyUlRadPn1ZMTIzGjx9f5xIWAGhu9NEGAAAA3ICuIwAAAIAbsHQEACBJslgsslgsFzzu6+vr8o4hAHAxY0YbACBJWrRoUa0+2NUfa9asMbpEAPAqrNEGAEiSjh07pmPHjl3weKdOndSmTZtmrAgAvBtBGwAAAHADlo4AAAAAbkDQBgAAANyAoA0AAAC4AUEbAAAAcAOCNgAAAOAGBG0AAADADQjaAAAAgBsQtAEAAAA3+P/OmE8lfd0rewAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "basis_function = Polynomial(degree=2)\n", "estimator = LeastSquares()\n", "\n", "model = FROLS(\n", " order_selection=True,\n", " n_info_values=15,\n", " ylag=2,\n", " xlag=2,\n", " info_criteria=\"aic\",\n", " estimator=estimator,\n", " basis_function=basis_function,\n", " err_tol=None,\n", ")\n", "\n", "model.fit(X=x_train, y=y_train)\n", "\n", "xaxis = np.arange(1, model.n_info_values + 1)\n", "plt.plot(xaxis, model.info_values)\n", "plt.xlabel(\"n_terms\")\n", "plt.ylabel(\"Information Criteria\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now running without executing information criteria methods (setting the *n_terms*) because we already know the optimal number of regressors" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.00017649882109753117\n", " Regressors Parameters ERR\n", "0 x1(k-2) 9.0001E-01 9.57604864E-01\n", "1 y(k-1) 2.0000E-01 3.88976063E-02\n", "2 x1(k-1)y(k-1) 9.9992E-02 3.49749526E-03\n" ] } ], "source": [ "basis_function = Polynomial(degree=2)\n", "estimator = LeastSquares()\n", "\n", "model = FROLS(\n", " order_selection=False,\n", " n_info_values=15,\n", " n_terms=3,\n", " ylag=2,\n", " xlag=2,\n", " info_criteria=\"aic\",\n", " estimator=estimator,\n", " basis_function=basis_function,\n", " err_tol=None,\n", ")\n", "model.fit(X=x_train, y=y_train)\n", "yhat = model.predict(X=x_valid, y=y_valid)\n", "rrse = root_relative_squared_error(y_valid, yhat)\n", "print(rrse)\n", "\n", "r = pd.DataFrame(\n", " results(\n", " model.final_model,\n", " model.theta,\n", " model.err,\n", " model.n_terms,\n", " err_precision=8,\n", " dtype=\"sci\",\n", " ),\n", " columns=[\"Regressors\", \"Parameters\", \"ERR\"],\n", ")\n", "print(r)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Predict method\n", "\n", "One could ask why it is necessary to pass the test data on the predict method. The answers is: you don't need to pass the test data when you are running a infinity-steps ahead prediction, you just need to pass the initial conditions. However, if you wants to check how your model performs in a 1-step ahead prediction or n-step ahead prediction, you should provide the test data.\n", "\n", "To show you only need the initial condition, consider the following example using the previous trained model:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.max_lag # the number of initial conditions you should provide" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.00017649882109753117\n" ] } ], "source": [ "yhat = model.predict(\n", " X=x_valid, y=y_valid[: model.max_lag]\n", ") # passing only the 2 initial values which will be used as initial conditions\n", "rrse = root_relative_squared_error(y_valid, yhat)\n", "print(rrse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the rrse obtained is the same as the one obtained when we input the full test data. That is due the fact that even in the cases you provide the full test data, the prediction method only uses the first values as initial conditions and drop the other values in the backend.\n", "\n", "In the 1-step ahead prediction or n-steps ahead prediction you should provide the full test data because we handle all the computations in the background so the users don't need to care to implement the loops themselves.\n", "\n", "If you wants the check how your model performs in a 3-steps ahead scenario using 200 samples in the test data, that means that at each 3 iterations the model feedback will use the real data as initial conditions. Thats why the full data test is necessary, because otherwise the model won't find the real value to use as feedback in the n-iteration.\n", "\n", "This is the case where you have access the historical data so you can check how your model performs in n-steps ahead prediction. If you choose to use a 3-steps ahead model prediction in real life, you have to predict the next 3 samples, wait the 3 iterations, collect the real data and use the new data as initial condition to predict the next 3 values and so on.\n", "\n", "In the infinity-steps ahead prediction scenario, if your model has a input it will be able to make predictions for all inputs by only providing the initial conditions. If your model has no input (a NAR model, for example), you can set the forecast horizon and the model will make predictions by using only the initial conditions. All the feedback will be the predicted values (this is, by the way, one of the reasons that usually n-steps ahead models are better than infinity-ahead models).\n", "\n", "It is worth to mention that changing the initial condition doesn't mean you are changing your model. The only thing changing is the initial condition and that could make a real difference in many cases." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extra information\n", "\n", "You can access some extra information like the list of all candidate regressors" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 0],\n", " [1001, 0],\n", " [1002, 0],\n", " [2001, 0],\n", " [2002, 0],\n", " [1001, 1001],\n", " [1002, 1001],\n", " [2001, 1001],\n", " [2002, 1001],\n", " [1002, 1002],\n", " [2001, 1002],\n", " [2002, 1002],\n", " [2001, 2001],\n", " [2002, 2001],\n", " [2002, 2002]])" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# for now the list is returned as a codification. Here, $0$ is the constant term, $[1001]=y{k-1}, [100n]=y_{k-n}, [200n] = x1_{k-n}, [300n]=x2_{k-n}$ and so on\n", "model.regressor_code # list of all possible regressors given non_degree, n_y and n_x values" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[9.57604864e-01 3.88976063e-02 3.49749526e-03 1.43420284e-10\n", " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", " 0.00000000e+00 0.00000000e+00 0.00000000e+00] \n", "\n", "\n", "[[0.90000582]\n", " [0.20000142]\n", " [0.0999919 ]]\n" ] } ], "source": [ "print(model.err, \"\\n\\n\") # err values for the selected terms\n", "print(model.theta) # estimated parameters for the final model structure" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3.8.11 ('neural_prophet')", "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": "3.11.5" }, "vscode": { "interpreter": { "hash": "9c8b4f2566ee0665c300a0345d74a67c0dbdc59cdceb21f2c0a51a43b1bc6af5" } } }, "nbformat": 4, "nbformat_minor": 4 }