{ "cells": [ { "cell_type": "markdown", "id": "8d006b12", "metadata": {}, "source": [ "# Non-Linear Modeling\n", "\n", "\n", "\n", "In this lab, we demonstrate some of the nonlinear models discussed in\n", "this chapter. We use the `Wage` data as a running example, and show that many of the complex non-linear fitting procedures discussed can easily be implemented in \\Python.\n", "\n", "As usual, we start with some of our standard imports." ] }, { "cell_type": "code", "execution_count": 34, "id": "77af2dc4", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:04.188068Z", "iopub.status.busy": "2023-08-07T00:19:04.187963Z", "iopub.status.idle": "2023-08-07T00:19:05.462907Z", "shell.execute_reply": "2023-08-07T00:19:05.462474Z" } }, "outputs": [], "source": [ "import numpy as np, pandas as pd\n", "from matplotlib.pyplot import subplots\n", "import matplotlib.pyplot as plt\n", "import statsmodels.api as sm\n", "from ISLP import load_data\n", "from ISLP.models import (summarize,\n", " poly,\n", " ModelSpec as MS)\n", "from statsmodels.stats.anova import anova_lm\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "markdown", "id": "39ee2f1e", "metadata": {}, "source": [ "We again collect the new imports\n", "needed for this lab. Many of these are developed specifically for the\n", "`ISLP` package." ] }, { "cell_type": "code", "execution_count": 2, "id": "b57d1d51", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:05.465092Z", "iopub.status.busy": "2023-08-07T00:19:05.464771Z", "iopub.status.idle": "2023-08-07T00:19:05.479564Z", "shell.execute_reply": "2023-08-07T00:19:05.479283Z" } }, "outputs": [], "source": [ "from pygam import (s as s_gam,\n", " l as l_gam,\n", " f as f_gam,\n", " LinearGAM,\n", " LogisticGAM)\n", "\n", "from ISLP.transforms import (BSpline,\n", " NaturalSpline)\n", "from ISLP.models import bs, ns\n", "from ISLP.pygam import (approx_lam,\n", " degrees_of_freedom,\n", " plot as plot_gam,\n", " anova as anova_gam)" ] }, { "cell_type": "markdown", "id": "6fe472df", "metadata": {}, "source": [ "## Polynomial Regression and Step Functions\n", "We start by demonstrating how Figure 7.1 can be reproduced.\n", "Let's begin by loading the data." ] }, { "cell_type": "code", "execution_count": 3, "id": "65f0e562", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:05.481187Z", "iopub.status.busy": "2023-08-07T00:19:05.481082Z", "iopub.status.idle": "2023-08-07T00:19:05.490768Z", "shell.execute_reply": "2023-08-07T00:19:05.490471Z" } }, "outputs": [], "source": [ "Wage = load_data('Wage')\n", "y = Wage['wage']\n", "age = Wage['age']" ] }, { "cell_type": "code", "execution_count": 4, "id": "141c2ec1", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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yearagemaritlraceeducationregionjobclasshealthhealth_inslogwagewage
02006181. Never Married1. White1. < HS Grad2. Middle Atlantic1. Industrial1. <=Good2. No4.31806375.043154
12004241. Never Married1. White4. College Grad2. Middle Atlantic2. Information2. >=Very Good2. No4.25527370.476020
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" ], "text/plain": [ " year age maritl race education region \\\n", "0 2006 18 1. Never Married 1. White 1. < HS Grad 2. Middle Atlantic \n", "1 2004 24 1. Never Married 1. White 4. College Grad 2. Middle Atlantic \n", "2 2003 45 2. Married 1. White 3. Some College 2. Middle Atlantic \n", "\n", " jobclass health health_ins logwage wage \n", "0 1. Industrial 1. <=Good 2. No 4.318063 75.043154 \n", "1 2. Information 2. >=Very Good 2. No 4.255273 70.476020 \n", "2 1. Industrial 1. <=Good 1. Yes 4.875061 130.982177 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Wage.head(3)" ] }, { "cell_type": "markdown", "id": "36e5e181", "metadata": {}, "source": [ "Throughout most of this lab, our response is `Wage['wage']`, which\n", "we have stored as `y` above. \n", "As in Section 3.6.6, we will use the `poly()` function to create a model matrix\n", "that will fit a $4$th degree polynomial in `age`." ] }, { "cell_type": "code", "execution_count": 5, "id": "a391fae6", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:05.492446Z", "iopub.status.busy": "2023-08-07T00:19:05.492345Z", "iopub.status.idle": "2023-08-07T00:19:05.576824Z", "shell.execute_reply": "2023-08-07T00:19:05.575262Z" } }, "outputs": [ { "data": { "text/html": [ "
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coefstd errtP>|t|
intercept-184.15420060.040000-3.0670.002
poly(age, degree=4, raw=True)[0]21.2455005.8870003.6090.000
poly(age, degree=4, raw=True)[1]-0.5639000.206000-2.7360.006
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" ], "text/plain": [ " coef std err t P>|t|\n", "intercept -184.154200 60.040000 -3.067 0.002\n", "poly(age, degree=4, raw=True)[0] 21.245500 5.887000 3.609 0.000\n", "poly(age, degree=4, raw=True)[1] -0.563900 0.206000 -2.736 0.006\n", "poly(age, degree=4, raw=True)[2] 0.006800 0.003000 2.221 0.026\n", "poly(age, degree=4, raw=True)[3] -0.000032 0.000016 -1.952 0.051" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "poly_age = MS([poly('age', degree=4,raw=True)]).fit(Wage)\n", "M = sm.GLS(y, poly_age.transform(Wage)).fit()\n", "summarize(M)" ] }, { "cell_type": "markdown", "id": "5ffdb585", "metadata": {}, "source": [ "This polynomial is constructed using the function `poly()`,\n", "which creates\n", "a special *transformer* `Poly()` (using `sklearn` terminology\n", "for feature transformations) which\n", "allows for easy evaluation of the polynomial at new data points. Here `poly()` is referred to as a *helper* function, and sets up the transformation; `Poly()` is the actual workhorse that computes the transformation. See also \n", "the \n", "discussion of transformations on\n", "page 127. \n", "\n", "In the code above, the first line executes the `fit()` method\n", "using the dataframe\n", "`Wage`. This recomputes and stores as attributes any parameters needed by `Poly()`\n", "on the training data, and these will be used on all subsequent\n", "evaluations of the `transform()` method. For example, it is used\n", "on the second line, as well as in the plotting function developed below." ] }, { "cell_type": "markdown", "id": "45d9130a", "metadata": {}, "source": [ "We now create a grid of values for `age` at which we want\n", "predictions." ] }, { "cell_type": "code", "execution_count": 6, "id": "d672f40e", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:05.612897Z", "iopub.status.busy": "2023-08-07T00:19:05.612291Z", "iopub.status.idle": "2023-08-07T00:19:05.618369Z", "shell.execute_reply": "2023-08-07T00:19:05.617502Z" } }, "outputs": [], "source": [ "age_grid = np.linspace(age.min(),\n", " age.max(),\n", " 100)\n", "age_df = pd.DataFrame({'age': age_grid})" ] }, { "cell_type": "markdown", "id": "b6e9a066", "metadata": {}, "source": [ "Finally, we wish to plot the data and add the fit from the fourth-degree polynomial. As we will make\n", "several similar plots below, we first write a function\n", "to create all the ingredients and produce the plot. Our function\n", "takes in a model specification (here a basis specified by a\n", "transform), as well as a grid of `age` values. The function\n", "produces a fitted curve as well as 95% confidence bands. By using\n", "an argument for `basis` we can produce and plot the results with several different\n", "transforms, such as the splines we will see shortly." ] }, { "cell_type": "code", "execution_count": 7, "id": "56174265", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:05.622405Z", "iopub.status.busy": "2023-08-07T00:19:05.622002Z", "iopub.status.idle": "2023-08-07T00:19:05.630479Z", "shell.execute_reply": "2023-08-07T00:19:05.629471Z" } }, "outputs": [], "source": [ "def plot_wage_fit(age_df, \n", " basis,\n", " title):\n", "\n", " X = basis.transform(Wage)\n", " Xnew = basis.transform(age_df)\n", " M = sm.OLS(y, X).fit()\n", " preds = M.get_prediction(Xnew)\n", " bands = preds.conf_int(alpha=0.05)\n", " fig, ax = subplots(figsize=(8,8))\n", " ax.scatter(age,\n", " y,\n", " facecolor='gray',\n", " alpha=0.5)\n", " for val, ls in zip([preds.predicted_mean,\n", " bands[:,0],\n", " bands[:,1]],\n", " ['b','r--','r--']):\n", " ax.plot(age_df.values, val, ls, linewidth=3)\n", " ax.set_title(title, fontsize=20)\n", " ax.set_xlabel('Age', fontsize=20)\n", " ax.set_ylabel('Wage', fontsize=20);\n", " return ax" ] }, { "cell_type": "markdown", "id": "cf21e69b", "metadata": {}, "source": [ "We include an argument `alpha` to `ax.scatter()`\n", "to add some transparency to the points. This provides a visual indication\n", "of density. Notice the use of the `zip()` function in the\n", "`for` loop above (see Section 2.3.8).\n", "We have three lines to plot, each with different colors and line\n", "types. Here `zip()` conveniently bundles these together as\n", "iterators in the loop. {In `Python` speak, an \"iterator\" is an object with a finite number of values, that can be iterated on, as in a loop.}\n", "\n", "We now plot the fit of the fourth-degree polynomial using this\n", "function." ] }, { "cell_type": "code", "execution_count": 8, "id": "1a10422f", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:05.634396Z", "iopub.status.busy": "2023-08-07T00:19:05.633974Z", "iopub.status.idle": "2023-08-07T00:19:05.884028Z", "shell.execute_reply": "2023-08-07T00:19:05.882752Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_wage_fit(age_df, \n", " poly_age,\n", " 'Degree-4 Polynomial');" ] }, { "cell_type": "markdown", "id": "5be341ff", "metadata": {}, "source": [ "We then fit logistic regression using polynomials." ] }, { "cell_type": "code", "execution_count": 9, "id": "c7972aea", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.046995Z", "iopub.status.busy": "2023-08-07T00:19:06.046384Z", "iopub.status.idle": "2023-08-07T00:19:06.205792Z", "shell.execute_reply": "2023-08-07T00:19:06.205279Z" } }, "outputs": [ { "data": { "text/html": [ "
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coefstd errzP>|z|
intercept-109.55300047.65500-2.2990.022
poly(age, degree=4, raw=True)[0]8.9950004.187002.1480.032
poly(age, degree=4, raw=True)[1]-0.2816000.13500-2.0810.037
poly(age, degree=4, raw=True)[2]0.0039000.002002.0220.043
poly(age, degree=4, raw=True)[3]-0.0000190.00001-1.9660.049
\n", "
" ], "text/plain": [ " coef std err z P>|z|\n", "intercept -109.553000 47.65500 -2.299 0.022\n", "poly(age, degree=4, raw=True)[0] 8.995000 4.18700 2.148 0.032\n", "poly(age, degree=4, raw=True)[1] -0.281600 0.13500 -2.081 0.037\n", "poly(age, degree=4, raw=True)[2] 0.003900 0.00200 2.022 0.043\n", "poly(age, degree=4, raw=True)[3] -0.000019 0.00001 -1.966 0.049" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X = poly_age.transform(Wage)\n", "high_earn = Wage['high_earn'] = y > 250 # shorthand\n", "glm = sm.GLM(y > 250,\n", " X,\n", " family=sm.families.Binomial())\n", "B = glm.fit()\n", "summarize(B)" ] }, { "cell_type": "markdown", "id": "cd7f2a1d", "metadata": {}, "source": [ "Once again, we make predictions using the `get_prediction()` method." ] }, { "cell_type": "code", "execution_count": 10, "id": "84f172f2", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.208576Z", "iopub.status.busy": "2023-08-07T00:19:06.208334Z", "iopub.status.idle": "2023-08-07T00:19:06.213502Z", "shell.execute_reply": "2023-08-07T00:19:06.212948Z" } }, "outputs": [], "source": [ "newX = poly_age.transform(age_df)\n", "preds = B.get_prediction(newX)\n", "bands = preds.conf_int(alpha=0.05)" ] }, { "cell_type": "markdown", "id": "96a82fa2", "metadata": {}, "source": [ "We now plot the estimated relationship." ] }, { "cell_type": "code", "execution_count": 11, "id": "fcf376bd", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.218797Z", "iopub.status.busy": "2023-08-07T00:19:06.218655Z", "iopub.status.idle": "2023-08-07T00:19:06.463403Z", "shell.execute_reply": "2023-08-07T00:19:06.462996Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(8,8))\n", "rng = np.random.default_rng(0)\n", "ax.scatter(age +\n", " 0.2 * rng.uniform(size=y.shape[0]),\n", " np.where(high_earn, 0.198, 0.002),\n", " fc='gray',\n", " marker='|')\n", "for val, ls in zip([preds.predicted_mean,\n", " bands[:,0],\n", " bands[:,1]],\n", " ['b','r--','r--']):\n", " ax.plot(age_df.values, val, ls, linewidth=3)\n", "ax.set_title('Degree-4 Polynomial', fontsize=20)\n", "ax.set_xlabel('Age', fontsize=20)\n", "ax.set_ylim([0,0.2])\n", "ax.set_ylabel('P(Wage > 250)', fontsize=20);" ] }, { "cell_type": "markdown", "id": "ece6ba93", "metadata": {}, "source": [ "We have drawn the `age` values corresponding to the observations with\n", "`wage` values above 250 as gray marks on the top of the plot, and\n", "those with `wage` values below 250 are shown as gray marks on the\n", "bottom of the plot. We added a small amount of noise to jitter\n", "the `age` values a bit so that observations with the same `age`\n", "value do not cover each other up. This type of plot is often called a\n", "*rug plot*.\n", "\n", "In order to fit a step function, as discussed in\n", "Section 7.2, we first use the `pd.qcut()`\n", "function to discretize `age` based on quantiles. Then we use `pd.get_dummies()` to create the\n", "columns of the model matrix for this categorical variable. Note that this function will\n", "include *all* columns for a given categorical, rather than the usual approach which drops one\n", "of the levels." ] }, { "cell_type": "code", "execution_count": 12, "id": "c4d00900", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.465468Z", "iopub.status.busy": "2023-08-07T00:19:06.465369Z", "iopub.status.idle": "2023-08-07T00:19:06.536436Z", "shell.execute_reply": "2023-08-07T00:19:06.524427Z" } }, "outputs": [ { "data": { "text/html": [ "
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coefstd errtP>|t|
(17.999, 33.75]94.15841.47863.6920.0
(33.75, 42.0]116.66081.47079.3850.0
(42.0, 51.0]119.18871.41684.1470.0
(51.0, 80.0]116.57171.55974.7510.0
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" ], "text/plain": [ " coef std err t P>|t|\n", "(17.999, 33.75] 94.1584 1.478 63.692 0.0\n", "(33.75, 42.0] 116.6608 1.470 79.385 0.0\n", "(42.0, 51.0] 119.1887 1.416 84.147 0.0\n", "(51.0, 80.0] 116.5717 1.559 74.751 0.0" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cut_age = pd.qcut(age, 4)\n", "summarize(sm.OLS(y, pd.get_dummies(cut_age)).fit())" ] }, { "cell_type": "markdown", "id": "68f44046", "metadata": {}, "source": [ "Here `pd.qcut()` automatically picked the cutpoints based on the quantiles 25%, 50% and 75%, which results in four regions. We could also have specified our own\n", "quantiles directly instead of the argument `4`. For cuts not based\n", "on quantiles we would use the `pd.cut()` function.\n", "The function `pd.qcut()` (and `pd.cut()`) returns an ordered categorical variable.\n", " The regression model then creates a set of\n", "dummy variables for use in the regression. Since `age` is the only variable in the model, the value $94,158.40 is the average salary for those under 33.75 years of\n", "age, and the other coefficients are the average\n", "salary for those in the other age groups. We can produce\n", "predictions and plots just as we did in the case of the polynomial\n", "fit." ] }, { "cell_type": "markdown", "id": "4e157a87", "metadata": {}, "source": [ "## Splines\n", "In order to fit regression splines, we use transforms\n", "from the `ISLP` package. The actual spline\n", "evaluation functions are in the `scipy.interpolate` package;\n", "we have simply wrapped them as transforms\n", "similar to `Poly()` and `PCA()`.\n", "\n", "In Section 7.4, we saw\n", "that regression splines can be fit by constructing an appropriate\n", "matrix of basis functions. The `BSpline()` function generates the\n", "entire matrix of basis functions for splines with the specified set of\n", "knots. By default, the B-splines produced are cubic. To change the degree, use\n", "the argument `degree`." ] }, { "cell_type": "code", "execution_count": 13, "id": "d3817102", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.549578Z", "iopub.status.busy": "2023-08-07T00:19:06.548758Z", "iopub.status.idle": "2023-08-07T00:19:06.567629Z", "shell.execute_reply": "2023-08-07T00:19:06.566920Z" } }, "outputs": [ { "data": { "text/plain": [ "(3000, 7)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bs_ = BSpline(internal_knots=[25,40,60], intercept=True).fit(age)\n", "bs_age = bs_.transform(age)\n", "bs_age.shape" ] }, { "cell_type": "markdown", "id": "711c9413", "metadata": {}, "source": [ "This results in a seven-column matrix, which is what is expected for a cubic-spline basis with 3 interior knots. \n", "We can form this same matrix using the `bs()` object,\n", "which facilitates adding this to a model-matrix builder (as in `poly()` versus its workhorse `Poly()`) described in Section 7.8.1.\n", "\n", "We now fit a cubic spline model to the `Wage` data." ] }, { "cell_type": "code", "execution_count": 14, "id": "c06c0f27", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.571243Z", "iopub.status.busy": "2023-08-07T00:19:06.570880Z", "iopub.status.idle": "2023-08-07T00:19:06.596270Z", "shell.execute_reply": "2023-08-07T00:19:06.595446Z" } }, "outputs": [ { "data": { "text/html": [ "
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coefstd errtP>|t|
intercept60.49379.4606.3940.000
bs(age, internal_knots=[25, 40, 60])[0]3.980512.5380.3170.751
bs(age, internal_knots=[25, 40, 60])[1]44.63109.6264.6360.000
bs(age, internal_knots=[25, 40, 60])[2]62.838810.7555.8430.000
bs(age, internal_knots=[25, 40, 60])[3]55.990810.7065.2300.000
bs(age, internal_knots=[25, 40, 60])[4]50.688114.4023.5200.000
bs(age, internal_knots=[25, 40, 60])[5]16.606119.1260.8680.385
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" ], "text/plain": [ " coef std err t P>|t|\n", "intercept 60.4937 9.460 6.394 0.000\n", "bs(age, internal_knots=[25, 40, 60])[0] 3.9805 12.538 0.317 0.751\n", "bs(age, internal_knots=[25, 40, 60])[1] 44.6310 9.626 4.636 0.000\n", "bs(age, internal_knots=[25, 40, 60])[2] 62.8388 10.755 5.843 0.000\n", "bs(age, internal_knots=[25, 40, 60])[3] 55.9908 10.706 5.230 0.000\n", "bs(age, internal_knots=[25, 40, 60])[4] 50.6881 14.402 3.520 0.000\n", "bs(age, internal_knots=[25, 40, 60])[5] 16.6061 19.126 0.868 0.385" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bs_age = MS([bs('age', internal_knots=[25,40,60])])\n", "Xbs = bs_age.fit_transform(Wage)\n", "M = sm.OLS(y, Xbs).fit()\n", "summarize(M)" ] }, { "cell_type": "markdown", "id": "a5698ae9", "metadata": {}, "source": [ "The column names are a little cumbersome, and have caused us to truncate the printed summary. They can be set on construction using the `name` argument as follows." ] }, { "cell_type": "code", "execution_count": 15, "id": "8cb32db0", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.600349Z", "iopub.status.busy": "2023-08-07T00:19:06.599995Z", "iopub.status.idle": "2023-08-07T00:19:06.622521Z", "shell.execute_reply": "2023-08-07T00:19:06.621854Z" } }, "outputs": [ { "data": { "text/html": [ "
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coefstd errtP>|t|
intercept60.49379.4606.3940.000
bs(age)[0]3.980512.5380.3170.751
bs(age)[1]44.63109.6264.6360.000
bs(age)[2]62.838810.7555.8430.000
bs(age)[3]55.990810.7065.2300.000
bs(age)[4]50.688114.4023.5200.000
bs(age)[5]16.606119.1260.8680.385
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" ], "text/plain": [ " coef std err t P>|t|\n", "intercept 60.4937 9.460 6.394 0.000\n", "bs(age)[0] 3.9805 12.538 0.317 0.751\n", "bs(age)[1] 44.6310 9.626 4.636 0.000\n", "bs(age)[2] 62.8388 10.755 5.843 0.000\n", "bs(age)[3] 55.9908 10.706 5.230 0.000\n", "bs(age)[4] 50.6881 14.402 3.520 0.000\n", "bs(age)[5] 16.6061 19.126 0.868 0.385" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bs_age = MS([bs('age',\n", " internal_knots=[25,40,60],\n", " name='bs(age)')])\n", "Xbs = bs_age.fit_transform(Wage)\n", "M = sm.OLS(y, Xbs).fit()\n", "summarize(M)" ] }, { "cell_type": "markdown", "id": "4d709fec", "metadata": {}, "source": [ "Notice that there are 6 spline coefficients rather than 7. This is because, by default,\n", "`bs()` assumes `intercept=False`, since we typically have an overall intercept in the model.\n", "So it generates the spline basis with the given knots, and then discards one of the basis functions to account for the intercept. \n", "\n", "We could also use the `df` (degrees of freedom) option to\n", "specify the complexity of the spline. We see above that with 3 knots,\n", "the spline basis has 6 columns or degrees of freedom. When we specify\n", "`df=6` rather than the actual knots, `bs()` will produce a\n", "spline with 3 knots chosen at uniform quantiles of the training data.\n", "We can see these chosen knots most easily using `Bspline()` directly:" ] }, { "cell_type": "code", "execution_count": 16, "id": "f26b715f", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.625851Z", "iopub.status.busy": "2023-08-07T00:19:06.625509Z", "iopub.status.idle": "2023-08-07T00:19:06.631162Z", "shell.execute_reply": "2023-08-07T00:19:06.630583Z" } }, "outputs": [ { "data": { "text/plain": [ "array([33.75, 42. , 51. ])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "BSpline(df=6).fit(age).internal_knots_" ] }, { "cell_type": "markdown", "id": "e606523e", "metadata": {}, "source": [ " When asking for six degrees of freedom,\n", "the transform chooses knots at ages 33.75, 42.0, and 51.0,\n", "which correspond to the 25th, 50th, and 75th percentiles of\n", "`age`.\n", "\n", "When using B-splines we need not limit ourselves to cubic polynomials\n", "(i.e. `degree=3`). For instance, using `degree=0` results\n", "in piecewise constant functions, as in our example with\n", "`pd.qcut()` above." ] }, { "cell_type": "code", "execution_count": 17, "id": "d6109816", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.634377Z", "iopub.status.busy": "2023-08-07T00:19:06.634139Z", "iopub.status.idle": "2023-08-07T00:19:06.654683Z", "shell.execute_reply": "2023-08-07T00:19:06.653962Z" } }, "outputs": [ { "data": { "text/html": [ "
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coefstd errtP>|t|
intercept94.15841.47863.6870.0
bs(age, df=3, degree=0)[0]22.34902.15210.3880.0
bs(age, df=3, degree=0)[1]24.80762.04412.1370.0
bs(age, df=3, degree=0)[2]22.78142.08710.9170.0
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" ], "text/plain": [ " coef std err t P>|t|\n", "intercept 94.1584 1.478 63.687 0.0\n", "bs(age, df=3, degree=0)[0] 22.3490 2.152 10.388 0.0\n", "bs(age, df=3, degree=0)[1] 24.8076 2.044 12.137 0.0\n", "bs(age, df=3, degree=0)[2] 22.7814 2.087 10.917 0.0" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bs_age0 = MS([bs('age',\n", " df=3, \n", " degree=0)]).fit(Wage)\n", "Xbs0 = bs_age0.transform(Wage)\n", "summarize(sm.OLS(y, Xbs0).fit())" ] }, { "cell_type": "markdown", "id": "59807efd", "metadata": {}, "source": [ "## Natural Spline\n", "In order to fit a natural spline, we use the `NaturalSpline()` \n", "transform with the corresponding helper `ns()`. Here we fit a natural spline with five\n", "degrees of freedom (excluding the intercept) and plot the results." ] }, { "cell_type": "code", "execution_count": 18, "id": "7c73a3da", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.657975Z", "iopub.status.busy": "2023-08-07T00:19:06.657748Z", "iopub.status.idle": "2023-08-07T00:19:06.682713Z", "shell.execute_reply": "2023-08-07T00:19:06.682057Z" } }, "outputs": [ { "data": { "text/html": [ "
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coefstd errtP>|t|
intercept60.47524.70812.8440.000
ns(age, df=5)[0]61.52674.70913.0650.000
ns(age, df=5)[1]55.69125.7179.7410.000
ns(age, df=5)[2]46.81844.9489.4630.000
ns(age, df=5)[3]83.203611.9186.9820.000
ns(age, df=5)[4]6.87709.4840.7250.468
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" ], "text/plain": [ " coef std err t P>|t|\n", "intercept 60.4752 4.708 12.844 0.000\n", "ns(age, df=5)[0] 61.5267 4.709 13.065 0.000\n", "ns(age, df=5)[1] 55.6912 5.717 9.741 0.000\n", "ns(age, df=5)[2] 46.8184 4.948 9.463 0.000\n", "ns(age, df=5)[3] 83.2036 11.918 6.982 0.000\n", "ns(age, df=5)[4] 6.8770 9.484 0.725 0.468" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ns_age = MS([ns('age', df=5)]).fit(Wage)\n", "M_ns = sm.OLS(y, ns_age.transform(Wage)).fit()\n", "summarize(M_ns)" ] }, { "cell_type": "markdown", "id": "d819f968", "metadata": {}, "source": [ "We now plot the natural spline using our plotting function." ] }, { "cell_type": "code", "execution_count": 19, "id": "d73789b4", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.686467Z", "iopub.status.busy": "2023-08-07T00:19:06.685665Z", "iopub.status.idle": "2023-08-07T00:19:06.874618Z", "shell.execute_reply": "2023-08-07T00:19:06.873874Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_wage_fit(age_df,\n", " ns_age,\n", " 'Natural spline, df=5');" ] }, { "cell_type": "markdown", "id": "09616af2", "metadata": {}, "source": [ "## Smoothing Splines and GAMs\n", "A smoothing spline is a special case of a GAM with squared-error loss\n", "and a single feature. To fit GAMs in `Python` we will use the\n", "`pygam` package which can be installed via `pip install pygam`. The\n", "estimator `LinearGAM()` uses squared-error loss.\n", "The GAM is specified by associating each column\n", "of a model matrix with a particular smoothing operation:\n", "`s` for smoothing spline; `l` for linear, and `f` for factor or categorical variables.\n", "The argument `0` passed to `s` below indicates that this smoother will\n", "apply to the first column of a feature matrix. Below, we pass it a\n", "matrix with a single column: `X_age`. The argument `lam` is the penalty parameter $\\lambda$ as discussed in Section 7.5.2." ] }, { "cell_type": "code", "execution_count": 20, "id": "3e70b87d", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.888036Z", "iopub.status.busy": "2023-08-07T00:19:06.887817Z", "iopub.status.idle": "2023-08-07T00:19:06.954217Z", "shell.execute_reply": "2023-08-07T00:19:06.953531Z" } }, "outputs": [ { "data": { "text/plain": [ "LinearGAM(callbacks=[Deviance(), Diffs()], fit_intercept=True, \n", " max_iter=100, scale=None, terms=s(0) + intercept, tol=0.0001, \n", " verbose=False)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_age = np.asarray(age).reshape((-1,1))\n", "gam = LinearGAM(s_gam(0, lam=0.6))\n", "gam.fit(X_age, y)" ] }, { "cell_type": "markdown", "id": "f95cf22c", "metadata": {}, "source": [ "The `pygam` library generally expects a matrix of features so we reshape `age` to be a matrix (a two-dimensional array) instead\n", "of a vector (i.e. a one-dimensional array). The `-1` in the call to the `reshape()` method tells `numpy` to impute the\n", "size of that dimension based on the remaining entries of the shape tuple.\n", " \n", "Let’s investigate how the fit changes with the smoothing parameter `lam`.\n", "The function `np.logspace()` is similar to `np.linspace()` but spaces points\n", "evenly on the log-scale. Below we vary `lam` from $10^{-2}$ to $10^6$." ] }, { "cell_type": "code", "execution_count": 21, "id": "efe03b12", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:06.958251Z", "iopub.status.busy": "2023-08-07T00:19:06.957583Z", "iopub.status.idle": "2023-08-07T00:19:07.353099Z", "shell.execute_reply": "2023-08-07T00:19:07.352827Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(8,8))\n", "ax.scatter(age, y, facecolor='gray', alpha=0.5)\n", "for lam in np.logspace(-2, 6, 5):\n", " gam = LinearGAM(s_gam(0, lam=lam)).fit(X_age, y)\n", " ax.plot(age_grid,\n", " gam.predict(age_grid),\n", " label='{:.1e}'.format(lam),\n", " linewidth=3)\n", "ax.set_xlabel('Age', fontsize=20)\n", "ax.set_ylabel('Wage', fontsize=20);\n", "ax.legend(title='$\\lambda$');" ] }, { "cell_type": "markdown", "id": "6590a835", "metadata": {}, "source": [ "The `pygam` package can perform a search for an optimal smoothing parameter." ] }, { "cell_type": "code", "execution_count": 22, "id": "acff2af2", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:07.354722Z", "iopub.status.busy": "2023-08-07T00:19:07.354617Z", "iopub.status.idle": "2023-08-07T00:19:08.055132Z", "shell.execute_reply": "2023-08-07T00:19:08.054491Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[38;2;0;255;0m100%\u001b[39m \u001b[38;2;0;255;0m(11 of 11)\u001b[39m |########################| Elapsed Time: 0:00:00 Time: 0:00:000:00\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gam_opt = gam.gridsearch(X_age, y)\n", "ax.plot(age_grid,\n", " gam_opt.predict(age_grid),\n", " label='Grid search',\n", " linewidth=4)\n", "ax.legend()\n", "fig" ] }, { "cell_type": "markdown", "id": "c979dbf1", "metadata": {}, "source": [ "Alternatively, we can fix the degrees of freedom of the smoothing\n", "spline using a function included in the `ISLP.pygam` package. Below we\n", "find a value of $\\lambda$ that gives us roughly four degrees of\n", "freedom. We note here that these degrees of freedom include the\n", "unpenalized intercept and linear term of the smoothing spline, hence there are at least two\n", "degrees of freedom." ] }, { "cell_type": "code", "execution_count": 23, "id": "a2d25550", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:08.062283Z", "iopub.status.busy": "2023-08-07T00:19:08.060603Z", "iopub.status.idle": "2023-08-07T00:19:08.098250Z", "shell.execute_reply": "2023-08-07T00:19:08.096039Z" } }, "outputs": [], "source": [ "age_term = gam.terms[0]\n", "lam_4 = approx_lam(X_age, age_term, 4)\n", "age_term.lam = lam_4\n" ] }, { "cell_type": "markdown", "id": "ce629653", "metadata": {}, "source": [ "Let’s vary the degrees of freedom in a similar plot to above. We choose the degrees of freedom\n", "as the desired degrees of freedom plus one to account for the fact that these smoothing\n", "splines always have an intercept term. Hence, a value of one for `df` is just a linear fit." ] }, { "cell_type": "code", "execution_count": 24, "id": "bc6322de", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:08.102132Z", "iopub.status.busy": "2023-08-07T00:19:08.101933Z", "iopub.status.idle": "2023-08-07T00:19:09.183673Z", "shell.execute_reply": "2023-08-07T00:19:09.183288Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(8,8))\n", "ax.scatter(X_age,\n", " y,\n", " facecolor='gray',\n", " alpha=0.3)\n", "for df in [1,3,4,8,15]:\n", " lam = approx_lam(X_age, age_term, df+1)\n", " age_term.lam = lam\n", " gam.fit(X_age, y)\n", " ax.plot(age_grid,\n", " gam.predict(age_grid),\n", " label='{:d}'.format(df),\n", " linewidth=4)\n", "ax.set_xlabel('Age', fontsize=20)\n", "ax.set_ylabel('Wage', fontsize=20);\n", "ax.legend(title='Degrees of freedom');" ] }, { "cell_type": "markdown", "id": "2cb73ff7", "metadata": {}, "source": [ "### Additive Models with Several Terms\n", "The strength of generalized additive models lies in their ability to fit multivariate regression models with more flexibility than linear models. We demonstrate two approaches: the first in a more manual fashion using natural splines and piecewise constant functions, and the second using the `pygam` package and smoothing splines.\n", "\n", "We now fit a GAM by hand to predict\n", "`wage` using natural spline functions of `year` and `age`,\n", "treating `education` as a qualitative predictor, as in (7.16).\n", "Since this is just a big linear regression model\n", "using an appropriate choice of basis functions, we can simply do this\n", "using the `sm.OLS()` function.\n", "\n", "We will build the model matrix in a more manual fashion here, since we wish\n", "to access the pieces separately when constructing partial dependence plots." ] }, { "cell_type": "code", "execution_count": 25, "id": "703d2570", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:09.186276Z", "iopub.status.busy": "2023-08-07T00:19:09.186096Z", "iopub.status.idle": "2023-08-07T00:19:09.273018Z", "shell.execute_reply": "2023-08-07T00:19:09.252509Z" } }, "outputs": [], "source": [ "ns_age = NaturalSpline(df=4).fit(age)\n", "ns_year = NaturalSpline(df=5).fit(Wage['year'])\n", "Xs = [ns_age.transform(age),\n", " ns_year.transform(Wage['year']),\n", " pd.get_dummies(Wage['education']).values]\n", "X_bh = np.hstack(Xs)\n", "gam_bh = sm.OLS(y, X_bh).fit()" ] }, { "cell_type": "markdown", "id": "34cae11a", "metadata": {}, "source": [ "Here the function `NaturalSpline()` is the workhorse supporting\n", "the `ns()` helper function. We chose to use all columns of the\n", "indicator matrix for the categorical variable `education`, making an intercept redundant.\n", "Finally, we stacked the three component matrices horizontally to form the model matrix `X_bh`. \n", "\n", "We now show how to construct partial dependence plots for each of the terms in our rudimentary GAM. We can do this by hand,\n", "given grids for `age` and `year`.\n", " We simply predict with new $X$ matrices, fixing all but one of the features at a time." ] }, { "cell_type": "code", "execution_count": 26, "id": "766a7b1f", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:09.291702Z", "iopub.status.busy": "2023-08-07T00:19:09.291379Z", "iopub.status.idle": "2023-08-07T00:19:09.563692Z", "shell.execute_reply": "2023-08-07T00:19:09.556327Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "age_grid = np.linspace(age.min(),\n", " age.max(),\n", " 100)\n", "X_age_bh = X_bh.copy()[:100]\n", "X_age_bh[:] = X_bh[:].mean(0)[None,:]\n", "X_age_bh[:,:4] = ns_age.transform(age_grid)\n", "preds = gam_bh.get_prediction(X_age_bh)\n", "bounds_age = preds.conf_int(alpha=0.05)\n", "partial_age = preds.predicted_mean\n", "center = partial_age.mean()\n", "partial_age -= center\n", "bounds_age -= center\n", "fig, ax = subplots(figsize=(8,8))\n", "ax.plot(age_grid, partial_age, 'b', linewidth=3)\n", "ax.plot(age_grid, bounds_age[:,0], 'r--', linewidth=3)\n", "ax.plot(age_grid, bounds_age[:,1], 'r--', linewidth=3)\n", "ax.set_xlabel('Age')\n", "ax.set_ylabel('Effect on wage')\n", "ax.set_title('Partial dependence of age on wage', fontsize=20);" ] }, { "cell_type": "markdown", "id": "83e636f3", "metadata": {}, "source": [ "Let's explain in some detail what we did above. The idea is to create a new prediction matrix, where all but the columns belonging to `age` are constant (and set to their training-data means). The four columns for `age` are filled in with the natural spline basis evaluated at the 100 values in `age_grid`.\n", "\n", "* We made a grid of length 100 in `age`, and created a matrix `X_age_bh` with 100 rows and the same number of columns as `X_bh`.\n", "* We replaced every row of this matrix with the column means of the original.\n", "* We then replace just the first four columns representing `age` with the natural spline basis computed at the values in `age_grid`. \n", "\n", "The remaining steps should by now be familiar.\n", "\n", "We also look at the effect of `year` on `wage`; the process is the same." ] }, { "cell_type": "code", "execution_count": 27, "id": "2a9ed841", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:09.566045Z", "iopub.status.busy": "2023-08-07T00:19:09.565923Z", "iopub.status.idle": "2023-08-07T00:19:09.683169Z", "shell.execute_reply": "2023-08-07T00:19:09.682826Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "year_grid = np.linspace(2003, 2009, 100)\n", "year_grid = np.linspace(Wage['year'].min(),\n", " Wage['year'].max(),\n", " 100)\n", "X_year_bh = X_bh.copy()[:100]\n", "X_year_bh[:] = X_bh[:].mean(0)[None,:]\n", "X_year_bh[:,4:9] = ns_year.transform(year_grid)\n", "preds = gam_bh.get_prediction(X_year_bh)\n", "bounds_year = preds.conf_int(alpha=0.05)\n", "partial_year = preds.predicted_mean\n", "center = partial_year.mean()\n", "partial_year -= center\n", "bounds_year -= center\n", "fig, ax = subplots(figsize=(8,8))\n", "ax.plot(year_grid, partial_year, 'b', linewidth=3)\n", "ax.plot(year_grid, bounds_year[:,0], 'r--', linewidth=3)\n", "ax.plot(year_grid, bounds_year[:,1], 'r--', linewidth=3)\n", "ax.set_xlabel('Year')\n", "ax.set_ylabel('Effect on wage')\n", "ax.set_title('Partial dependence of year on wage', fontsize=20);" ] }, { "cell_type": "markdown", "id": "4aca2254", "metadata": {}, "source": [ "We now fit the model (7.16) using smoothing splines rather\n", "than natural splines. All of the\n", "terms in (7.16) are fit simultaneously, taking each other\n", "into account to explain the response. The `pygam` package only works with matrices, so we must convert\n", "the categorical series `education` to its array representation, which can be found\n", "with the `cat.codes` attribute of `education`. As `year` only has 7 unique values, we\n", "use only seven basis functions for it." ] }, { "cell_type": "code", "execution_count": 28, "id": "ccf068b1", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:09.685125Z", "iopub.status.busy": "2023-08-07T00:19:09.684986Z", "iopub.status.idle": "2023-08-07T00:19:09.745790Z", "shell.execute_reply": "2023-08-07T00:19:09.738475Z" } }, "outputs": [], "source": [ "gam_full = LinearGAM(s_gam(0) +\n", " s_gam(1, n_splines=7) +\n", " f_gam(2, lam=0))\n", "Xgam = np.column_stack([age,\n", " Wage['year'],\n", " Wage['education'].cat.codes])\n", "gam_full = gam_full.fit(Xgam, y)" ] }, { "cell_type": "markdown", "id": "a7e035d3", "metadata": {}, "source": [ "The two `s_gam()` terms result in smoothing spline fits, and use a default value for $\\lambda$ (`lam=0.6`), which is somewhat arbitrary. For the categorical term `education`, specified using a `f_gam()` term, we specify `lam=0` to avoid any shrinkage.\n", "We produce the partial dependence plot in `age` to see the effect of these choices.\n", "\n", "The values for the plot\n", "are generated by the `pygam` package. We provide a `plot_gam()`\n", "function for partial-dependence plots in `ISLP.pygam`, which makes this job easier than in our last example with natural splines." ] }, { "cell_type": "code", "execution_count": 29, "id": "38b719f1", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:09.776763Z", "iopub.status.busy": "2023-08-07T00:19:09.775939Z", "iopub.status.idle": "2023-08-07T00:19:10.045020Z", "shell.execute_reply": "2023-08-07T00:19:10.044581Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(8,8))\n", "plot_gam(gam_full, 0, ax=ax)\n", "ax.set_xlabel('Age')\n", "ax.set_ylabel('Effect on wage')\n", "ax.set_title('Partial dependence of age on wage - default lam=0.6', fontsize=20);" ] }, { "cell_type": "markdown", "id": "c7be9454", "metadata": {}, "source": [ "We see that the function is somewhat wiggly. It is more natural to specify the `df` than a value for `lam`. \n", "We refit a GAM using four degrees of freedom each for\n", "`age` and `year`. Recall that the addition of one below takes into account the intercept\n", "of the smoothing spline." ] }, { "cell_type": "code", "execution_count": 30, "id": "02142f6e", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:10.047306Z", "iopub.status.busy": "2023-08-07T00:19:10.047155Z", "iopub.status.idle": "2023-08-07T00:19:10.181724Z", "shell.execute_reply": "2023-08-07T00:19:10.179548Z" } }, "outputs": [], "source": [ "age_term = gam_full.terms[0]\n", "age_term.lam = approx_lam(Xgam, age_term, df=4+1)\n", "year_term = gam_full.terms[1]\n", "year_term.lam = approx_lam(Xgam, year_term, df=4+1)\n", "gam_full = gam_full.fit(Xgam, y)" ] }, { "cell_type": "markdown", "id": "08085085", "metadata": {}, "source": [ "Note that updating `age_term.lam` above updates it in `gam_full.terms[0]` as well! Likewise for `year_term.lam`.\n", "\n", "Repeating the plot for `age`, we see that it is much smoother.\n", "We also produce the plot for `year`." ] }, { "cell_type": "code", "execution_count": 31, "id": "94587b05", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:10.189867Z", "iopub.status.busy": "2023-08-07T00:19:10.189422Z", "iopub.status.idle": "2023-08-07T00:19:10.415206Z", "shell.execute_reply": "2023-08-07T00:19:10.414754Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Partial dependence of year on wage')" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(8,8))\n", "plot_gam(gam_full,\n", " 1,\n", " ax=ax)\n", "ax.set_xlabel('Year')\n", "ax.set_ylabel('Effect on wage')\n", "ax.set_title('Partial dependence of year on wage', fontsize=20)" ] }, { "cell_type": "markdown", "id": "5b373d5c", "metadata": {}, "source": [ "Finally we plot `education`, which is categorical. The partial dependence plot is different, and more suitable for the set of fitted constants for each level of this variable." ] }, { "cell_type": "code", "execution_count": 32, "id": "bba4c757", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:10.417771Z", "iopub.status.busy": "2023-08-07T00:19:10.417586Z", "iopub.status.idle": "2023-08-07T00:19:10.542248Z", "shell.execute_reply": "2023-08-07T00:19:10.541930Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(8, 8))\n", "ax = plot_gam(gam_full, 2)\n", "ax.set_xlabel('Education')\n", "ax.set_ylabel('Effect on wage')\n", "ax.set_title('Partial dependence of wage on education',\n", " fontsize=20);\n", "ax.set_xticklabels(Wage['education'].cat.categories, fontsize=8);" ] }, { "cell_type": "markdown", "id": "ea4a7d79", "metadata": {}, "source": [ "## Local Regression\n", "We illustrate the use of local regression using the `lowess()` \n", "function from `sm.nonparametric`. Some implementations of\n", "GAMs allow terms to be local regression operators; this is not the case in `pygam`.\n", "\n", "Here we fit local linear regression models using spans of 0.2\n", "and 0.5; that is, each neighborhood consists of 20% or 50% of\n", "the observations. As expected, using a span of 0.5 is smoother than 0.2." ] }, { "cell_type": "code", "execution_count": 33, "id": "4f2bc0eb", "metadata": { "execution": { "iopub.execute_input": "2023-08-07T00:19:12.128541Z", "iopub.status.busy": "2023-08-07T00:19:12.128428Z", "iopub.status.idle": "2023-08-07T00:19:12.279516Z", "shell.execute_reply": "2023-08-07T00:19:12.279013Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lowess = sm.nonparametric.lowess\n", "fig, ax = subplots(figsize=(8,8))\n", "ax.scatter(age, y, facecolor='gray', alpha=0.5)\n", "for span in [0.2, 0.5]:\n", " fitted = lowess(y,\n", " age,\n", " frac=span,\n", " xvals=age_grid)\n", " ax.plot(age_grid,\n", " fitted,\n", " label='{:.1f}'.format(span),\n", " linewidth=4)\n", "ax.set_xlabel('Age', fontsize=20)\n", "ax.set_ylabel('Wage', fontsize=20);\n", "ax.legend(title='span', fontsize=15);" ] } ], "metadata": { "jupytext": { "cell_metadata_filter": "-all", "formats": "ipynb,md:myst", "main_language": "python" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }