From b91ca59191744bc43a0c56f0520c2bcb6f17d324 Mon Sep 17 00:00:00 2001 From: Kevin P Murphy Date: Wed, 12 Jun 2024 22:45:48 +0000 Subject: [PATCH] more plots --- .../book1/01/linreg_poly_vs_degree.ipynb | 538 ++++++++++++++---- notebooks/figures/polyfitDegree1.pdf | Bin 7477 -> 7079 bytes notebooks/figures/polyfitDegree1.png | Bin 18881 -> 14705 bytes notebooks/figures/polyfitDegree14.pdf | Bin 0 -> 9069 bytes notebooks/figures/polyfitDegree14.png | Bin 0 -> 25802 bytes .../figures/polyfitDegree1FitVsActualTest.pdf | Bin 13308 -> 13308 bytes .../polyfitDegree1FitVsActualTrain.pdf | Bin 11709 -> 11709 bytes notebooks/figures/polyfitDegree1Residuals.pdf | Bin 11618 -> 11618 bytes notebooks/figures/polyfitDegree2.pdf | Bin 8127 -> 7845 bytes notebooks/figures/polyfitDegree2.png | Bin 21553 -> 20856 bytes notebooks/figures/polyfitDegree20.pdf | Bin 0 -> 8734 bytes notebooks/figures/polyfitDegree20.png | Bin 0 -> 29604 bytes .../figures/polyfitDegree2FitVsActualTest.pdf | Bin 14743 -> 14743 bytes .../polyfitDegree2FitVsActualTrain.pdf | Bin 11741 -> 11741 bytes notebooks/figures/polyfitDegree2Residuals.pdf | Bin 11626 -> 11626 bytes notebooks/figures/polyfitDegree3.pdf | Bin 0 -> 8272 bytes notebooks/figures/polyfitDegree3.png | Bin 0 -> 20864 bytes notebooks/figures/polyfitVsDegree.pdf | Bin 10330 -> 10330 bytes 18 files changed, 437 insertions(+), 101 deletions(-) create mode 100644 notebooks/figures/polyfitDegree14.pdf create mode 100644 notebooks/figures/polyfitDegree14.png create mode 100644 notebooks/figures/polyfitDegree20.pdf create mode 100644 notebooks/figures/polyfitDegree20.png create mode 100644 notebooks/figures/polyfitDegree3.pdf create mode 100644 notebooks/figures/polyfitDegree3.png diff --git a/notebooks/book1/01/linreg_poly_vs_degree.ipynb b/notebooks/book1/01/linreg_poly_vs_degree.ipynb index b7653d97e3..6a1672ca4e 100644 --- a/notebooks/book1/01/linreg_poly_vs_degree.ipynb +++ b/notebooks/book1/01/linreg_poly_vs_degree.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 11, + "execution_count": 2, "id": "afd7e0f5", "metadata": {}, "outputs": [ @@ -10,7 +10,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "/teamspace/studios/this_studio/pyprobml/notebooks/figures\n" + "\n" ] } ], @@ -22,14 +22,99 @@ "\n", "import os\n", "os.environ[\"FIG_DIR\"] = \"/teamspace/studios/this_studio/pyprobml/notebooks/figures\"\n", - "os.environ[\"DUAL_SAVE\"] = \"1\"" + "os.environ[\"DUAL_SAVE\"] = \"1\"\n", + "#os.environ[\"LATEXIFY\"] = \"1\"" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 9, "id": "ffac3768", "metadata": {}, + "outputs": [], + "source": [ + "# Plot polynomial regression on 1d problem\n", + "# Based on https://github.com/probml/pmtk3/blob/master/demos/linregPolyVsDegree.m\n", + "\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import os\n", + "\n", + "try:\n", + " import probml_utils as pml\n", + "except ModuleNotFoundError:\n", + " %pip install -qq git+https://github.com/probml/probml-utils.git\n", + " import probml_utils as pml\n", + "\n", + "try:\n", + " from sklearn.preprocessing import PolynomialFeatures\n", + "except ModuleNotFoundError:\n", + " %pip install -qq scikit-learn\n", + " from sklearn.preprocessing import PolynomialFeatures\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.preprocessing import MinMaxScaler\n", + "import sklearn.metrics\n", + "from sklearn.metrics import mean_squared_error as mse\n", + "\n", + "\n", + "def make_1dregression_data(n=21, m=20):\n", + " np.random.seed(0)\n", + " xtrain = np.linspace(0.0, 20, n)\n", + " #https://github.com/probml/pml-book/issues/611\n", + " xtest = np.arange(0.0, m, 0.1)\n", + " #xtest = np.arange(0.0, 21, 0.1)\n", + " sigma2 = 4\n", + " w = np.array([-1.5, 1 / 9.0])\n", + " fun = lambda x: w[0] * x + w[1] * np.square(x)\n", + " ytrain = fun(xtrain) + np.random.normal(0, 1, xtrain.shape) * np.sqrt(sigma2)\n", + " ytest = fun(xtest) + np.random.normal(0, 1, xtest.shape) * np.sqrt(sigma2)\n", + " return xtrain, ytrain, xtest, ytest\n", + "\n", + "\n", + "xtrain, ytrain, xtest, ytest = make_1dregression_data(n=21)\n", + "\n", + "# Rescaling data\n", + "scaler = MinMaxScaler(feature_range=(-1, 1))\n", + "Xtrain = scaler.fit_transform(xtrain.reshape(-1, 1))\n", + "Xtest = scaler.transform(xtest.reshape(-1, 1))\n", + "\n", + "\n", + "degs = np.arange(1, 21, 1)\n", + "ndegs = np.max(degs)\n", + "mse_train = np.empty(ndegs)\n", + "mse_test = np.empty(ndegs)\n", + "ytest_pred_stored = np.empty(ndegs, dtype=np.ndarray)\n", + "ytrain_pred_stored = np.empty(ndegs, dtype=np.ndarray)\n", + "for deg in degs:\n", + " model = LinearRegression()\n", + " poly_features = PolynomialFeatures(degree=deg, include_bias=False)\n", + " Xtrain_poly = poly_features.fit_transform(Xtrain)\n", + " model.fit(Xtrain_poly, ytrain)\n", + " ytrain_pred = model.predict(Xtrain_poly)\n", + " ytrain_pred_stored[deg - 1] = ytrain_pred\n", + " Xtest_poly = poly_features.transform(Xtest)\n", + " ytest_pred = model.predict(Xtest_poly)\n", + " mse_train[deg - 1] = mse(ytrain_pred, ytrain)\n", + " mse_test[deg - 1] = mse(ytest_pred, ytest)\n", + " ytest_pred_stored[deg - 1] = ytest_pred\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "58214fce", + "metadata": {}, + "source": [ + "# MSE vs degree" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "54da8fe6", + "metadata": {}, "outputs": [ { "name": "stderr", @@ -56,7 +141,35 @@ }, "metadata": {}, "output_type": "display_data" - }, + } + ], + "source": [ + "# Plot MSE vs degree\n", + "fig, ax = plt.subplots()\n", + "mask = degs <= 15\n", + "ax.plot(degs[mask], mse_test[mask], color=\"r\", marker=\"x\", label=\"test\")\n", + "ax.plot(degs[mask], mse_train[mask], color=\"b\", marker=\"s\", label=\"train\")\n", + "ax.legend(loc=\"upper right\", shadow=True)\n", + "plt.xlabel(\"degree\")\n", + "plt.ylabel(\"mse\")\n", + "pml.savefig(\"polyfitVsDegree.pdf\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "6e741a14", + "metadata": {}, + "source": [ + "# Plot fitted functions" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "364d4d58", + "metadata": {}, + "outputs": [ { "name": "stderr", "output_type": "stream", @@ -109,6 +222,114 @@ "metadata": {}, "output_type": "display_data" }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/zeus/miniconda3/envs/cloudspace/lib/python3.10/site-packages/probml_utils/plotting.py:70: UserWarning: renaming /teamspace/studios/this_studio/pyprobml/notebooks/figures/polyfitDegree3.pdf to /teamspace/studios/this_studio/pyprobml/notebooks/figures/polyfitDegree3.pdf because LATEXIFY is False\n", + " warnings.warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving image to /teamspace/studios/this_studio/pyprobml/notebooks/figures/polyfitDegree3.pdf\n", + "Figure size: [6.4 4.8]\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "# Plot fitted functions\n", + "chosen_degs = [1, 2, 3, 14, 20]\n", + "\n", + "for deg in chosen_degs:\n", + " fig, ax = plt.subplots() #figsize=(15, 15))\n", + " ax.scatter(xtrain, ytrain)\n", + " ax.plot(xtest, ytest_pred_stored[deg - 1])\n", + " ax.set_ylim((-10, 15))\n", + " plt.title(\"degree {}\".format(deg))\n", + " pml.savefig(\"polyfitDegree{}.pdf\".format(deg))\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "6e8a1a8e", + "metadata": {}, + "source": [ + "# Plot residuals" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "2cf3971f", + "metadata": {}, + "outputs": [ { "name": "stderr", "output_type": "stream", @@ -160,7 +381,41 @@ }, "metadata": {}, "output_type": "display_data" - }, + } + ], + "source": [ + "\n", + "chosen_degs = [1,2]\n", + "# Plot residuals\n", + "for deg in chosen_degs:\n", + " fig, ax = plt.subplots()\n", + " ypred = ytrain_pred_stored[deg - 1]\n", + " residuals = ytrain - ypred\n", + " # ax.plot(ypred, residuals, 'o')\n", + " # ax.set_xlabel('predicted y')\n", + " ax.plot(xtrain, residuals, \"o\")\n", + " ax.set_xlabel(\"x\")\n", + " ax.set_ylabel(\"residual\")\n", + " ax.set_ylim(-6, 6)\n", + " plt.title(\"degree {}. Predictions on the training set\".format(deg))\n", + " pml.savefig(\"polyfitDegree{}Residuals.pdf\".format(deg))\n", + " plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "d3462e60", + "metadata": {}, + "source": [ + "# Plot fit vs actual" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "ba6ddc7a", + "metadata": {}, + "outputs": [ { "name": "stderr", "output_type": "stream", @@ -267,44 +522,183 @@ } ], "source": [ - "# Plot polynomial regression on 1d problem\n", - "# Based on https://github.com/probml/pmtk3/blob/master/demos/linregPolyVsDegree.m\n", - "\n", "\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import os\n", - "\n", - "try:\n", - " import probml_utils as pml\n", - "except ModuleNotFoundError:\n", - " %pip install -qq git+https://github.com/probml/probml-utils.git\n", - " import probml_utils as pml\n", - "\n", - "try:\n", - " from sklearn.preprocessing import PolynomialFeatures\n", - "except ModuleNotFoundError:\n", - " %pip install -qq scikit-learn\n", - " from sklearn.preprocessing import PolynomialFeatures\n", - "from sklearn.linear_model import LinearRegression\n", - "from sklearn.preprocessing import MinMaxScaler\n", - "import sklearn.metrics\n", - "from sklearn.metrics import mean_squared_error as mse\n", - "\n", - "\n", - "def make_1dregression_data(n=21):\n", - " np.random.seed(0)\n", - " xtrain = np.linspace(0.0, 20, n)\n", - " xtest = np.arange(0.0, 20, 0.1)\n", - " sigma2 = 4\n", - " w = np.array([-1.5, 1 / 9.0])\n", - " fun = lambda x: w[0] * x + w[1] * np.square(x)\n", - " ytrain = fun(xtrain) + np.random.normal(0, 1, xtrain.shape) * np.sqrt(sigma2)\n", - " ytest = fun(xtest) + np.random.normal(0, 1, xtest.shape) * np.sqrt(sigma2)\n", - " return xtrain, ytrain, xtest, ytest\n", + "# Plot fit vs actual\n", + "for deg in chosen_degs:\n", + " for train in [True, False]:\n", + " if train:\n", + " ytrue = ytrain\n", + " ypred = ytrain_pred_stored[deg - 1]\n", + " dataset = \"Train\"\n", + " else:\n", + " ytrue = ytest\n", + " ypred = ytest_pred_stored[deg - 1]\n", + " dataset = \"Test\"\n", + " fig, ax = plt.subplots()\n", + " ax.scatter(ytrue, ypred)\n", + " # https://github.com/probml/pml-book/issues/620\n", + " #ax.plot(ax.get_xlim(), ax.get_ylim(), ls=\"--\", c=\".3\")\n", + " ax.plot(ax.get_xlim(), ax.get_xlim(), ls=\"--\", c=\".3\")\n", "\n", + " ax.set_xlabel(\"true y\")\n", + " ax.set_ylabel(\"predicted y\")\n", + " r2 = sklearn.metrics.r2_score(ytrue, ypred)\n", + " plt.title(\"degree {}. R2 on {} = {:0.3f}\".format(deg, dataset, r2))\n", + " pml.savefig(\"polyfitDegree{}FitVsActual{}.pdf\".format(deg, dataset))\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "5e8a6632", + "metadata": {}, + "source": [ + "# Replot fitted functions using larger x range (to show interpolation)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "51115091", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/zeus/miniconda3/envs/cloudspace/lib/python3.10/site-packages/probml_utils/plotting.py:70: UserWarning: renaming /teamspace/studios/this_studio/pyprobml/notebooks/figures/polyfitDegree1.pdf to /teamspace/studios/this_studio/pyprobml/notebooks/figures/polyfitDegree1.pdf because LATEXIFY is False\n", + " warnings.warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving image to /teamspace/studios/this_studio/pyprobml/notebooks/figures/polyfitDegree1.pdf\n", + "Figure size: [6.4 4.8]\n" + ] + }, + { + "data": { + "image/png": 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", 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Response to https://github.com/probml/pml-book/issues/611\n", + "# Now replot fitted functions for xtest = 0 to 21 so D=20 interpolates all points\n", + "# (This messes up the mse vs degree plot, so we don't recompute that)\n", "\n", - "xtrain, ytrain, xtest, ytest = make_1dregression_data(n=21)\n", + "xtrain, ytrain, xtest, ytest = make_1dregression_data(n=21, m=21)\n", "\n", "# Rescaling data\n", "scaler = MinMaxScaler(feature_range=(-1, 1))\n", @@ -331,20 +725,9 @@ " mse_test[deg - 1] = mse(ytest_pred, ytest)\n", " ytest_pred_stored[deg - 1] = ytest_pred\n", "\n", - "# Plot MSE vs degree\n", - "fig, ax = plt.subplots()\n", - "mask = degs <= 15\n", - "ax.plot(degs[mask], mse_test[mask], color=\"r\", marker=\"x\", label=\"test\")\n", - "ax.plot(degs[mask], mse_train[mask], color=\"b\", marker=\"s\", label=\"train\")\n", - "ax.legend(loc=\"upper right\", shadow=True)\n", - "plt.xlabel(\"degree\")\n", - "plt.ylabel(\"mse\")\n", - "pml.savefig(\"polyfitVsDegree.pdf\")\n", - "plt.show()\n", - "\n", "# Plot fitted functions\n", "chosen_degs = [1, 2, 3, 14, 20]\n", - "chosen_degs = [1,2]\n", + "\n", "for deg in chosen_degs:\n", " fig, ax = plt.subplots() #figsize=(15, 15))\n", " ax.scatter(xtrain, ytrain)\n", @@ -352,55 +735,8 @@ " ax.set_ylim((-10, 15))\n", " plt.title(\"degree {}\".format(deg))\n", " pml.savefig(\"polyfitDegree{}.pdf\".format(deg))\n", - " plt.show()\n", - "\n", - "# Plot residuals\n", - "for deg in chosen_degs:\n", - " fig, ax = plt.subplots()\n", - " ypred = ytrain_pred_stored[deg - 1]\n", - " residuals = ytrain - ypred\n", - " # ax.plot(ypred, residuals, 'o')\n", - " # ax.set_xlabel('predicted y')\n", - " ax.plot(xtrain, residuals, \"o\")\n", - " ax.set_xlabel(\"x\")\n", - " ax.set_ylabel(\"residual\")\n", - " ax.set_ylim(-6, 6)\n", - " plt.title(\"degree {}. Predictions on the training set\".format(deg))\n", - " pml.savefig(\"polyfitDegree{}Residuals.pdf\".format(deg))\n", - " plt.show()\n", - "\n", - "# Plot fit vs actual\n", - "for deg in chosen_degs:\n", - " for train in [True, False]:\n", - " if train:\n", - " ytrue = ytrain\n", - " ypred = ytrain_pred_stored[deg - 1]\n", - " dataset = \"Train\"\n", - " else:\n", - " ytrue = ytest\n", - " ypred = ytest_pred_stored[deg - 1]\n", - " dataset = \"Test\"\n", - " fig, ax = plt.subplots()\n", - " ax.scatter(ytrue, ypred)\n", - " # https://github.com/probml/pml-book/issues/620\n", - " #ax.plot(ax.get_xlim(), ax.get_ylim(), ls=\"--\", c=\".3\")\n", - " ax.plot(ax.get_xlim(), ax.get_xlim(), ls=\"--\", c=\".3\")\n", - "\n", - " ax.set_xlabel(\"true y\")\n", - " ax.set_ylabel(\"predicted y\")\n", - " r2 = sklearn.metrics.r2_score(ytrue, ypred)\n", - " plt.title(\"degree {}. R2 on {} = {:0.3f}\".format(deg, dataset, r2))\n", - " pml.savefig(\"polyfitDegree{}FitVsActual{}.pdf\".format(deg, dataset))\n", - " plt.show()" + " plt.show()" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "51115091", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/notebooks/figures/polyfitDegree1.pdf b/notebooks/figures/polyfitDegree1.pdf index 9de7b3246b2e0baca57f5ced3f98a5a4f83b2994..267ef13688f9c9a6ab5c9b6736847f18c208ceaf 100644 GIT binary patch delta 1589 zcmdmLwcLC|7h`>xZ@#p-z~0Z{XACVfjz|{$DC~KC%%MR}hWqTo7m5WUrfzQ!nFam- zYq##nRj;_r?*WY5Z`QQc^ndySJMAqQ${ae{aX1t1UmxAMuH2zxMLhTBVb3yzBSZWq+;CNDZD5 zef{2>vZ^Hy*$g$FdpJ%>Ub5V@b|HII-37iL*P}t6vv}QncE^{^+q^x)y+7c`5`Uw_Bv{PNyvmk&`ZT9Tg0cz7jsE_InWOZ)D<%b(2sr~m(w7qnx=wJB%P zm$q{Hg-u$&OzHAF1vS-h!Lyl{>Z7%q#C2IZ4=(%OCaJT0fu`rYvh$MfPP%UlSXSOI z*vNg*=A7g*b9ccNvzA1t_!o1oQT24nSmNWZYOW?U@qo?Sw>zIji2U?1=983|;=1Ssh zO!JdF`Yg~Tm2F#(jLgnN{-djwvdh<5amtw#hzVbPvQW(UfV-cZ=--G}3NM=VmlyM< 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