diff --git a/doc/pub/week39/ipynb/week39.ipynb b/doc/pub/week39/ipynb/week39.ipynb index b824801c6..b4665bfc8 100644 --- a/doc/pub/week39/ipynb/week39.ipynb +++ b/doc/pub/week39/ipynb/week39.ipynb @@ -451,9 +451,99 @@ "id": "474f69ae", "metadata": { "collapsed": false, - "editable": true + "editable": true, + "jupyter": { + "outputs_hidden": false + } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Polynomial degree: 0\n", + "Error: 0.32149601703519115\n", + "Bias^2: 0.3123314713548606\n", + "Var: 0.009164545680330616\n", + "0.32149601703519115 >= 0.3123314713548606 + 0.009164545680330616 = 0.3214960170351912\n", + "Polynomial degree: 1\n", + "Error: 0.08426840630693412\n", + "Bias^2: 0.0796891867672603\n", + "Var: 0.004579219539673834\n", + "0.08426840630693412 >= 0.0796891867672603 + 0.004579219539673834 = 0.08426840630693413\n", + "Polynomial degree: 2\n", + "Error: 0.10398646080125037\n", + "Bias^2: 0.10077114273548984\n", + "Var: 0.0032153180657605116\n", + "0.10398646080125037 >= 0.10077114273548984 + 0.0032153180657605116 = 0.10398646080125036\n", + "Polynomial degree: 3\n", + "Error: 0.06547790180152352\n", + "Bias^2: 0.062082386342319454\n", + "Var: 0.0033955154592040923\n", + "0.06547790180152352 >= 0.062082386342319454 + 0.0033955154592040923 = 0.06547790180152355\n", + "Polynomial degree: 4\n", + "Error: 0.06844519414009445\n", + "Bias^2: 0.06453579006728322\n", + "Var: 0.003909404072811221\n", + "0.06844519414009445 >= 0.06453579006728322 + 0.003909404072811221 = 0.06844519414009444\n", + "Polynomial degree: 5\n", + "Error: 0.05227921801205679\n", + "Bias^2: 0.04818727730430286\n", + "Var: 0.004091940707753925\n", + "0.05227921801205679 >= 0.04818727730430286 + 0.004091940707753925 = 0.05227921801205679\n", + "Polynomial degree: 6\n", + "Error: 0.03781367141738902\n", + "Bias^2: 0.03365768507152769\n", + "Var: 0.0041559863458613296\n", + "0.03781367141738902 >= 0.03365768507152769 + 0.0041559863458613296 = 0.03781367141738902\n", + "Polynomial degree: 7\n", + "Error: 0.027609773491022394\n", + "Bias^2: 0.022999498260366198\n", + "Var: 0.004610275230656182\n", + "0.027609773491022394 >= 0.022999498260366198 + 0.004610275230656182 = 0.02760977349102238\n", + "Polynomial degree: 8\n", + "Error: 0.017355848195593312\n", + "Bias^2: 0.010331721306655165\n", + "Var: 0.007024126888938144\n", + "0.017355848195593312 >= 0.010331721306655165 + 0.007024126888938144 = 0.01735584819559331\n", + "Polynomial degree: 9\n", + "Error: 0.026605727637184558\n", + "Bias^2: 0.010018312644139219\n", + "Var: 0.016587414993045335\n", + "0.026605727637184558 >= 0.010018312644139219 + 0.016587414993045335 = 0.026605727637184554\n", + "Polynomial degree: 10\n", + "Error: 0.021592704588021178\n", + "Bias^2: 0.010516485576646504\n", + "Var: 0.01107621901137467\n", + "0.021592704588021178 >= 0.010516485576646504 + 0.01107621901137467 = 0.021592704588021174\n", + "Polynomial degree: 11\n", + "Error: 0.07160048164232538\n", + "Bias^2: 0.014436800088896381\n", + "Var: 0.05716368155342902\n", + "0.07160048164232538 >= 0.014436800088896381 + 0.05716368155342902 = 0.0716004816423254\n", + "Polynomial degree: 12\n", + "Error: 0.11547777218876518\n", + "Bias^2: 0.016285782696017142\n", + "Var: 0.09919198949274803\n", + "0.11547777218876518 >= 0.016285782696017142 + 0.09919198949274803 = 0.11547777218876518\n", + "Polynomial degree: 13\n", + "Error: 0.2284246870217162\n", + "Bias^2: 0.01975416527168255\n", + "Var: 0.20867052175003364\n", + "0.2284246870217162 >= 0.01975416527168255 + 0.20867052175003364 = 0.2284246870217162\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "\n", "\n", @@ -596,7 +700,7 @@ "\n", "np.random.seed(0)\n", "\n", - "n_samples = 30\n", + "n_samples = 100\n", "degrees = [1, 4, 15]\n", "\n", "X = np.sort(np.random.rand(n_samples))\n", @@ -699,13 +803,27 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 6, "id": "71d9652c", "metadata": { "collapsed": false, - "editable": true + "editable": true, + "jupyter": { + "outputs_hidden": false + } }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -719,7 +837,7 @@ "np.random.seed(3155)\n", "\n", "# Generate the data.\n", - "nsamples = 100\n", + "nsamples = 1000\n", "x = np.random.randn(nsamples)\n", "y = 3*x**2 + np.random.randn(nsamples)\n", "\n", @@ -810,13 +928,130 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 7, "id": "4c46a192", "metadata": { "collapsed": false, - "editable": true + "editable": true, + "jupyter": { + "outputs_hidden": false + } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Degree of polynomial: 1\n", + "Mean squared error on training data: 452833.19458364\n", + "Mean squared error on test data: 429773.88954087\n", + "Degree of polynomial: 2\n", + "Mean squared error on training data: 115870.66701669\n", + "Mean squared error on test data: 123112.72459873\n", + "Degree of polynomial: 3\n", + "Mean squared error on training data: 9004.82954042\n", + "Mean squared error on test data: 10869.87549153\n", + "Degree of polynomial: 4\n", + "Mean squared error on training data: 302.39419906\n", + "Mean squared error on test data: 427.32079061\n", + "Degree of polynomial: 5\n", + "Mean squared error on training data: 3.72578939\n", + "Mean squared error on test data: 6.84645891\n", + "Degree of polynomial: 6\n", + "Mean squared error on training data: 3.57820785\n", + "Mean squared error on test data: 10.09754281\n", + "Degree of polynomial: 7\n", + "Mean squared error on training data: 0.47222838\n", + "Mean squared error on test data: 1.71423866\n", + "Degree of polynomial: 8\n", + "Mean squared error on training data: 0.04911195\n", + "Mean squared error on test data: 0.13922321\n", + "Degree of polynomial: 9\n", + "Mean squared error on training data: 0.02536117\n", + "Mean squared error on test data: 0.10775110\n", + "Degree of polynomial: 10\n", + "Mean squared error on training data: 0.02456016\n", + "Mean squared error on test data: 0.30553897\n", + "Degree of polynomial: 11\n", + "Mean squared error on training data: 0.01588176\n", + "Mean squared error on test data: 0.34429506\n", + "Degree of polynomial: 12\n", + "Mean squared error on training data: 0.00813246\n", + "Mean squared error on test data: 0.05122248\n", + "Degree of polynomial: 13\n", + "Mean squared error on training data: 0.00777433\n", + "Mean squared error on test data: 0.55694499\n", + "Degree of polynomial: 14\n", + "Mean squared error on training data: 0.00463992\n", + "Mean squared error on test data: 0.41041598\n", + "Degree of polynomial: 15\n", + "Mean squared error on training data: 0.00412983\n", + "Mean squared error on test data: 568.86093965\n", + "Degree of polynomial: 16\n", + "Mean squared error on training data: 0.00325020\n", + "Mean squared error on test data: 40.41455407\n", + "Degree of polynomial: 17\n", + "Mean squared error on training data: 0.00244533\n", + "Mean squared error on test data: 1249.28074263\n", + "Degree of polynomial: 18\n", + "Mean squared error on training data: 0.00214983\n", + "Mean squared error on test data: 205.22625889\n", + "Degree of polynomial: 19\n", + "Mean squared error on training data: 0.00200171\n", + "Mean squared error on test data: 280.68624420\n", + "Degree of polynomial: 20\n", + "Mean squared error on training data: 0.00155500\n", + "Mean squared error on test data: 25.13660834\n", + "Degree of polynomial: 21\n", + "Mean squared error on training data: 0.00156388\n", + "Mean squared error on test data: 77.94529437\n", + "Degree of polynomial: 22\n", + "Mean squared error on training data: 0.00151469\n", + "Mean squared error on test data: 245.67520784\n", + "Degree of polynomial: 23\n", + "Mean squared error on training data: 0.00130016\n", + "Mean squared error on test data: 124.77716463\n", + "Degree of polynomial: 24\n", + "Mean squared error on training data: 0.00112865\n", + "Mean squared error on test data: 1589.08344068\n", + "Degree of polynomial: 25\n", + "Mean squared error on training data: 0.00101815\n", + "Mean squared error on test data: 585.19168405\n", + "Degree of polynomial: 26\n", + "Mean squared error on training data: 0.00093173\n", + "Mean squared error on test data: 97.00573316\n", + "Degree of polynomial: 27\n", + "Mean squared error on training data: 0.00087876\n", + "Mean squared error on test data: 151.60571945\n", + "Degree of polynomial: 28\n", + "Mean squared error on training data: 0.00092360\n", + "Mean squared error on test data: 307.35851187\n", + "Degree of polynomial: 29\n", + "Mean squared error on training data: 0.00088450\n", + "Mean squared error on test data: 577.01491993\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_30869/626635268.py:73: RuntimeWarning: divide by zero encountered in log10\n", + " plt.plot(polynomial, np.log10(trainingerror), label='Training Error')\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_30869/626635268.py:74: RuntimeWarning: divide by zero encountered in log10\n", + " plt.plot(polynomial, np.log10(testerror), label='Test Error')\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Common imports\n", "import os\n", @@ -922,13 +1157,35 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 11, "id": "bc57344c", "metadata": { "collapsed": false, - "editable": true + "editable": true, + "jupyter": { + "outputs_hidden": false + } }, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_30869/3127697733.py:63: RuntimeWarning: divide by zero encountered in log10\n", + " plt.plot(polynomial, np.log10(estimated_mse_sklearn), label='Test Error')\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Common imports\n", "import os\n", @@ -979,7 +1236,7 @@ "X[:,0] = 1.0\n", "estimated_mse_sklearn = np.zeros(Maxpolydegree)\n", "polynomial = np.zeros(Maxpolydegree)\n", - "k =5\n", + "k =10\n", "kfold = KFold(n_splits = k)\n", "\n", "for polydegree in range(1, Maxpolydegree):\n", @@ -1200,7 +1457,10 @@ "id": "f8533d41", "metadata": { "collapsed": false, - "editable": true + "editable": true, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -1277,7 +1537,10 @@ "id": "67fb6914", "metadata": { "collapsed": false, - "editable": true + "editable": true, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -1395,7 +1658,10 @@ "id": "6b6798ef", "metadata": { "collapsed": false, - "editable": true + "editable": true, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -2118,7 +2384,10 @@ "id": "e1b62460", "metadata": { "collapsed": false, - "editable": true + "editable": true, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -2280,7 +2549,10 @@ "id": "9fb3602e", "metadata": { "collapsed": false, - "editable": true + "editable": true, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -2337,7 +2609,10 @@ "id": "fa95e885", "metadata": { "collapsed": false, - "editable": true + "editable": true, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -2422,7 +2697,25 @@ ] } ], - "metadata": {}, + "metadata": { + "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": "3.9.15" + } + }, "nbformat": 4, "nbformat_minor": 5 }