diff --git a/doc/LectureNotes/_build/.doctrees/week37.doctree b/doc/LectureNotes/_build/.doctrees/week37.doctree index d887c8b6b..bcb13a8ce 100644 Binary files a/doc/LectureNotes/_build/.doctrees/week37.doctree and b/doc/LectureNotes/_build/.doctrees/week37.doctree differ diff --git a/doc/LectureNotes/_build/jupyter_execute/week37.ipynb b/doc/LectureNotes/_build/jupyter_execute/week37.ipynb index 0e217531e..1057e6787 100644 --- a/doc/LectureNotes/_build/jupyter_execute/week37.ipynb +++ b/doc/LectureNotes/_build/jupyter_execute/week37.ipynb @@ -1671,7 +1671,7 @@ "text": [ "Bootstrap Statistics :\n", "original bias std. error\n", - " 100.091 15.1529 100.089 0.15052\n" + " 100.203 14.9405 100.203 0.148913\n" ] } ], @@ -1737,7 +1737,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -2080,7 +2080,13 @@ "Error: 0.10398646080125035\n", "Bias^2: 0.1007711427354898\n", "Var: 0.0032153180657605116\n", - "0.10398646080125035 >= 0.1007711427354898 + 0.0032153180657605116 = 0.10398646080125032\n", + "0.10398646080125035 >= 0.1007711427354898 + 0.0032153180657605116 = 0.10398646080125032\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ "Polynomial degree: 3\n", "Error: 0.06547790180152355\n", "Bias^2: 0.06208238634231949\n", @@ -2090,18 +2096,18 @@ "Error: 0.06844519414009445\n", "Bias^2: 0.06453579006728324\n", "Var: 0.003909404072811226\n", - "0.06844519414009445 >= 0.06453579006728324 + 0.003909404072811226 = 0.06844519414009446\n" + "0.06844519414009445 >= 0.06453579006728324 + 0.003909404072811226 = 0.06844519414009446\n", + "Polynomial degree: 5\n", + "Error: 0.05227921801205686\n", + "Bias^2: 0.0481872773043029\n", + "Var: 0.004091940707753939\n", + "0.05227921801205686 >= 0.0481872773043029 + 0.004091940707753939 = 0.052279218012056844\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "Polynomial degree: 5\n", - "Error: 0.05227921801205686\n", - "Bias^2: 0.0481872773043029\n", - "Var: 0.004091940707753939\n", - "0.05227921801205686 >= 0.0481872773043029 + 0.004091940707753939 = 0.052279218012056844\n", "Polynomial degree: 6\n", "Error: 0.037813671417389005\n", "Bias^2: 0.033657685071527665\n", @@ -2132,13 +2138,7 @@ "Error: 0.021592704588025025\n", "Bias^2: 0.010516485576645508\n", "Var: 0.011076219011379514\n", - "0.021592704588025025 >= 0.010516485576645508 + 0.011076219011379514 = 0.021592704588025022\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ + "0.021592704588025025 >= 0.010516485576645508 + 0.011076219011379514 = 0.021592704588025022\n", "Polynomial degree: 11\n", "Error: 0.07160048164233104\n", "Bias^2: 0.014436800088904942\n", @@ -2148,7 +2148,13 @@ "Error: 0.11547777218872497\n", "Bias^2: 0.01628578269596628\n", "Var: 0.09919198949275869\n", - "0.11547777218872497 >= 0.01628578269596628 + 0.09919198949275869 = 0.11547777218872497\n", + "0.11547777218872497 >= 0.01628578269596628 + 0.09919198949275869 = 0.11547777218872497\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ "Polynomial degree: 13\n", "Error: 0.22842468702219465\n", "Bias^2: 0.01975416527185249\n", @@ -2165,7 +2171,7 @@ }, "metadata": { "filenames": { - "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week37_139_4.png" + "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week37_139_5.png" } }, "output_type": "display_data" @@ -2701,9 +2707,9 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_57311/626635268.py:73: RuntimeWarning: divide by zero encountered in log10\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_59752/626635268.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_57311/626635268.py:74: RuntimeWarning: divide by zero encountered in log10\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_59752/626635268.py:74: RuntimeWarning: divide by zero encountered in log10\n", " plt.plot(polynomial, np.log10(testerror), label='Test Error')\n" ] }, @@ -2838,7 +2844,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_57311/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_59752/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10\n", " plt.plot(polynomial, np.log10(estimated_mse_sklearn), label='Test Error')\n" ] }, diff --git a/doc/LectureNotes/_build/jupyter_execute/week37_121_0.png b/doc/LectureNotes/_build/jupyter_execute/week37_121_0.png index ecc705d16..29e4b75aa 100644 Binary files a/doc/LectureNotes/_build/jupyter_execute/week37_121_0.png and b/doc/LectureNotes/_build/jupyter_execute/week37_121_0.png differ