diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle index 7c0c75167..fda84d976 100644 Binary files a/doc/LectureNotes/_build/.doctrees/environment.pickle and b/doc/LectureNotes/_build/.doctrees/environment.pickle differ diff --git a/doc/LectureNotes/_build/.doctrees/week37.doctree b/doc/LectureNotes/_build/.doctrees/week37.doctree index 3ff556256..845d0366e 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/html/_images/week37_121_0.png b/doc/LectureNotes/_build/html/_images/week37_121_0.png index 3bad8d751..cc330f472 100644 Binary files a/doc/LectureNotes/_build/html/_images/week37_121_0.png and b/doc/LectureNotes/_build/html/_images/week37_121_0.png differ diff --git a/doc/LectureNotes/_build/html/_images/week37_139_4.png b/doc/LectureNotes/_build/html/_images/week37_139_4.png new file mode 100644 index 000000000..9ebeeb751 Binary files /dev/null and b/doc/LectureNotes/_build/html/_images/week37_139_4.png differ diff --git a/doc/LectureNotes/_build/html/_images/week37_142_0.png b/doc/LectureNotes/_build/html/_images/week37_142_0.png new file mode 100644 index 000000000..a8501ad62 Binary files /dev/null and b/doc/LectureNotes/_build/html/_images/week37_142_0.png differ diff --git a/doc/LectureNotes/_build/html/_sources/week37.ipynb b/doc/LectureNotes/_build/html/_sources/week37.ipynb index 23e4f6cc9..70763a9b5 100644 --- a/doc/LectureNotes/_build/html/_sources/week37.ipynb +++ b/doc/LectureNotes/_build/html/_sources/week37.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "14b74d82", + "id": "53365fbb", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "98c332a6", + "id": "809960d9", "metadata": { "editable": true }, @@ -29,7 +29,7 @@ }, { "cell_type": "markdown", - "id": "39288149", + "id": "0cac33e9", "metadata": { "editable": true }, @@ -60,7 +60,7 @@ }, { "cell_type": "markdown", - "id": "bd562ffb", + "id": "d5ba8d48", "metadata": { "editable": true }, @@ -82,7 +82,7 @@ }, { "cell_type": "markdown", - "id": "06a5d233", + "id": "560073ae", "metadata": { "editable": true }, @@ -92,7 +92,7 @@ }, { "cell_type": "markdown", - "id": "ff22a7c4", + "id": "58ff8482", "metadata": { "editable": true }, @@ -115,7 +115,7 @@ }, { "cell_type": "markdown", - "id": "af426198", + "id": "c9ed29f5", "metadata": { "editable": true }, @@ -127,7 +127,7 @@ }, { "cell_type": "markdown", - "id": "bc6aece7", + "id": "f3e177df", "metadata": { "editable": true }, @@ -140,7 +140,7 @@ }, { "cell_type": "markdown", - "id": "0fcaf1fa", + "id": "943d3101", "metadata": { "editable": true }, @@ -152,7 +152,7 @@ }, { "cell_type": "markdown", - "id": "cabb3149", + "id": "bddef09d", "metadata": { "editable": true }, @@ -164,7 +164,7 @@ }, { "cell_type": "markdown", - "id": "eaa18a3a", + "id": "8d119a52", "metadata": { "editable": true }, @@ -176,7 +176,7 @@ }, { "cell_type": "markdown", - "id": "77178b21", + "id": "b67e829d", "metadata": { "editable": true }, @@ -187,7 +187,7 @@ }, { "cell_type": "markdown", - "id": "7ab08c28", + "id": "3a76ed1c", "metadata": { "editable": true }, @@ -199,7 +199,7 @@ }, { "cell_type": "markdown", - "id": "f4c18070", + "id": "58863d67", "metadata": { "editable": true }, @@ -210,7 +210,7 @@ }, { "cell_type": "markdown", - "id": "68333e06", + "id": "f3c19d2c", "metadata": { "editable": true }, @@ -222,7 +222,7 @@ }, { "cell_type": "markdown", - "id": "a6a23cb1", + "id": "fe7606c4", "metadata": { "editable": true }, @@ -232,7 +232,7 @@ }, { "cell_type": "markdown", - "id": "2ab81525", + "id": "e1d5e31c", "metadata": { "editable": true }, @@ -263,7 +263,7 @@ }, { "cell_type": "markdown", - "id": "7ec31ba4", + "id": "097eb026", "metadata": { "editable": true }, @@ -275,7 +275,7 @@ }, { "cell_type": "markdown", - "id": "7e4143d9", + "id": "46e9c4fd", "metadata": { "editable": true }, @@ -287,7 +287,7 @@ }, { "cell_type": "markdown", - "id": "807fc498", + "id": "20ca4ccb", "metadata": { "editable": true }, @@ -297,7 +297,7 @@ }, { "cell_type": "markdown", - "id": "75aea24f", + "id": "651adbb5", "metadata": { "editable": true }, @@ -309,7 +309,7 @@ }, { "cell_type": "markdown", - "id": "f5781704", + "id": "a0d30507", "metadata": { "editable": true }, @@ -319,7 +319,7 @@ }, { "cell_type": "markdown", - "id": "73317949", + "id": "f3269fe5", "metadata": { "editable": true }, @@ -331,7 +331,7 @@ }, { "cell_type": "markdown", - "id": "4a92b413", + "id": "f7096467", "metadata": { "editable": true }, @@ -341,7 +341,7 @@ }, { "cell_type": "markdown", - "id": "b9e8865f", + "id": "e35c1080", "metadata": { "editable": true }, @@ -353,7 +353,7 @@ }, { "cell_type": "markdown", - "id": "ce99993b", + "id": "6392c0ea", "metadata": { "editable": true }, @@ -363,7 +363,7 @@ }, { "cell_type": "markdown", - "id": "1c1e5ca5", + "id": "ac50371f", "metadata": { "editable": true }, @@ -383,7 +383,7 @@ }, { "cell_type": "markdown", - "id": "94efedeb", + "id": "b73c9d79", "metadata": { "editable": true }, @@ -395,7 +395,7 @@ }, { "cell_type": "markdown", - "id": "7bff18f4", + "id": "ab4c6470", "metadata": { "editable": true }, @@ -405,7 +405,7 @@ }, { "cell_type": "markdown", - "id": "9dab4cc8", + "id": "08a17057", "metadata": { "editable": true }, @@ -417,7 +417,7 @@ }, { "cell_type": "markdown", - "id": "301a7e63", + "id": "248c56c1", "metadata": { "editable": true }, @@ -429,7 +429,7 @@ }, { "cell_type": "markdown", - "id": "e1637fca", + "id": "7d49c8f2", "metadata": { "editable": true }, @@ -441,7 +441,7 @@ }, { "cell_type": "markdown", - "id": "8318379c", + "id": "8b7ebd86", "metadata": { "editable": true }, @@ -453,7 +453,7 @@ }, { "cell_type": "markdown", - "id": "42d22c8d", + "id": "ec8cf10c", "metadata": { "editable": true }, @@ -465,7 +465,7 @@ }, { "cell_type": "markdown", - "id": "82010f47", + "id": "7572b3bd", "metadata": { "editable": true }, @@ -477,7 +477,7 @@ }, { "cell_type": "markdown", - "id": "5e520f96", + "id": "93806e54", "metadata": { "editable": true }, @@ -489,7 +489,7 @@ }, { "cell_type": "markdown", - "id": "2b74f753", + "id": "3a541b25", "metadata": { "editable": true }, @@ -501,7 +501,7 @@ }, { "cell_type": "markdown", - "id": "2c65cf69", + "id": "3ad6731a", "metadata": { "editable": true }, @@ -511,7 +511,7 @@ }, { "cell_type": "markdown", - "id": "ef72c5f7", + "id": "0b97ba97", "metadata": { "editable": true }, @@ -523,7 +523,7 @@ }, { "cell_type": "markdown", - "id": "f009bb84", + "id": "f96a2bd1", "metadata": { "editable": true }, @@ -533,7 +533,7 @@ }, { "cell_type": "markdown", - "id": "38bed0cd", + "id": "90c7d471", "metadata": { "editable": true }, @@ -552,7 +552,7 @@ }, { "cell_type": "markdown", - "id": "8ccc70ec", + "id": "2f5cdb57", "metadata": { "editable": true }, @@ -573,7 +573,7 @@ }, { "cell_type": "markdown", - "id": "fea10ce4", + "id": "55d2bfb6", "metadata": { "editable": true }, @@ -585,7 +585,7 @@ }, { "cell_type": "markdown", - "id": "3a9e78e5", + "id": "2a1ea166", "metadata": { "editable": true }, @@ -596,7 +596,7 @@ }, { "cell_type": "markdown", - "id": "989dcbed", + "id": "3a4cea04", "metadata": { "editable": true }, @@ -609,7 +609,7 @@ }, { "cell_type": "markdown", - "id": "abf9c88c", + "id": "848763b6", "metadata": { "editable": true }, @@ -621,7 +621,7 @@ }, { "cell_type": "markdown", - "id": "445466d0", + "id": "cb8668ac", "metadata": { "editable": true }, @@ -631,7 +631,7 @@ }, { "cell_type": "markdown", - "id": "63fd91b8", + "id": "196d47ff", "metadata": { "editable": true }, @@ -643,7 +643,7 @@ }, { "cell_type": "markdown", - "id": "a8cef50b", + "id": "38c54891", "metadata": { "editable": true }, @@ -653,7 +653,7 @@ }, { "cell_type": "markdown", - "id": "1f3e9ffa", + "id": "5fb29180", "metadata": { "editable": true }, @@ -665,7 +665,7 @@ }, { "cell_type": "markdown", - "id": "5d32ca08", + "id": "bd303a51", "metadata": { "editable": true }, @@ -675,7 +675,7 @@ }, { "cell_type": "markdown", - "id": "1fa5f693", + "id": "3bee4680", "metadata": { "editable": true }, @@ -689,7 +689,7 @@ }, { "cell_type": "markdown", - "id": "576a43bd", + "id": "0c46bb57", "metadata": { "editable": true }, @@ -701,7 +701,7 @@ }, { "cell_type": "markdown", - "id": "2968120b", + "id": "32f47be0", "metadata": { "editable": true }, @@ -711,7 +711,7 @@ }, { "cell_type": "markdown", - "id": "6154bc24", + "id": "fd925a78", "metadata": { "editable": true }, @@ -723,7 +723,7 @@ }, { "cell_type": "markdown", - "id": "c0b483bb", + "id": "006647eb", "metadata": { "editable": true }, @@ -733,7 +733,7 @@ }, { "cell_type": "markdown", - "id": "91121969", + "id": "1d2ac696", "metadata": { "editable": true }, @@ -745,7 +745,7 @@ }, { "cell_type": "markdown", - "id": "a4d78ecc", + "id": "9e1f59a5", "metadata": { "editable": true }, @@ -755,7 +755,7 @@ }, { "cell_type": "markdown", - "id": "e779a466", + "id": "a8fe3b56", "metadata": { "editable": true }, @@ -767,7 +767,7 @@ }, { "cell_type": "markdown", - "id": "7c49926e", + "id": "85db28a7", "metadata": { "editable": true }, @@ -777,7 +777,7 @@ }, { "cell_type": "markdown", - "id": "6ebb795d", + "id": "e6b6b507", "metadata": { "editable": true }, @@ -793,7 +793,7 @@ }, { "cell_type": "markdown", - "id": "f288a479", + "id": "00f26321", "metadata": { "editable": true }, @@ -805,7 +805,7 @@ }, { "cell_type": "markdown", - "id": "c6c99bca", + "id": "868f5e5a", "metadata": { "editable": true }, @@ -815,7 +815,7 @@ }, { "cell_type": "markdown", - "id": "14fb9c1f", + "id": "4e29d1a9", "metadata": { "editable": true }, @@ -827,7 +827,7 @@ }, { "cell_type": "markdown", - "id": "ad4a830f", + "id": "8d1ea123", "metadata": { "editable": true }, @@ -840,7 +840,7 @@ }, { "cell_type": "markdown", - "id": "dfc5bffa", + "id": "ee32ea7d", "metadata": { "editable": true }, @@ -852,7 +852,7 @@ }, { "cell_type": "markdown", - "id": "71186941", + "id": "e05c6359", "metadata": { "editable": true }, @@ -862,7 +862,7 @@ }, { "cell_type": "markdown", - "id": "b9814ef1", + "id": "b2ffe0c0", "metadata": { "editable": true }, @@ -874,7 +874,7 @@ }, { "cell_type": "markdown", - "id": "429bd3fb", + "id": "7fccf482", "metadata": { "editable": true }, @@ -884,7 +884,7 @@ }, { "cell_type": "markdown", - "id": "29f1a9b6", + "id": "00a435ee", "metadata": { "editable": true }, @@ -896,7 +896,7 @@ }, { "cell_type": "markdown", - "id": "d2617d29", + "id": "6ed0d41e", "metadata": { "editable": true }, @@ -908,7 +908,7 @@ }, { "cell_type": "markdown", - "id": "fb90b57a", + "id": "2c7c149d", "metadata": { "editable": true }, @@ -918,7 +918,7 @@ }, { "cell_type": "markdown", - "id": "6df398dd", + "id": "77f01008", "metadata": { "editable": true }, @@ -930,7 +930,7 @@ }, { "cell_type": "markdown", - "id": "de9e1065", + "id": "793671d5", "metadata": { "editable": true }, @@ -942,7 +942,7 @@ }, { "cell_type": "markdown", - "id": "35ad3c48", + "id": "4e57ea79", "metadata": { "editable": true }, @@ -954,7 +954,7 @@ }, { "cell_type": "markdown", - "id": "43acabad", + "id": "12f8f838", "metadata": { "editable": true }, @@ -964,7 +964,7 @@ }, { "cell_type": "markdown", - "id": "36033e6e", + "id": "9cc2459b", "metadata": { "editable": true }, @@ -976,7 +976,7 @@ }, { "cell_type": "markdown", - "id": "91d57877", + "id": "6c040408", "metadata": { "editable": true }, @@ -986,7 +986,7 @@ }, { "cell_type": "markdown", - "id": "c13b96b0", + "id": "86c5648e", "metadata": { "editable": true }, @@ -1005,7 +1005,7 @@ }, { "cell_type": "markdown", - "id": "eab9c787", + "id": "ef10be44", "metadata": { "editable": true }, @@ -1033,7 +1033,7 @@ }, { "cell_type": "markdown", - "id": "a6170268", + "id": "f1c760d9", "metadata": { "editable": true }, @@ -1059,7 +1059,7 @@ }, { "cell_type": "markdown", - "id": "dea29c07", + "id": "7cab5213", "metadata": { "editable": true }, @@ -1076,7 +1076,7 @@ }, { "cell_type": "markdown", - "id": "6a355ed8", + "id": "abd16598", "metadata": { "editable": true }, @@ -1096,7 +1096,7 @@ }, { "cell_type": "markdown", - "id": "bf54a8c6", + "id": "dc17b500", "metadata": { "editable": true }, @@ -1125,7 +1125,7 @@ }, { "cell_type": "markdown", - "id": "80fd775f", + "id": "ac9620af", "metadata": { "editable": true }, @@ -1150,7 +1150,7 @@ }, { "cell_type": "markdown", - "id": "67af5e5c", + "id": "b8ddd5cf", "metadata": { "editable": true }, @@ -1170,7 +1170,7 @@ }, { "cell_type": "markdown", - "id": "79ea23d1", + "id": "465046b4", "metadata": { "editable": true }, @@ -1182,7 +1182,7 @@ }, { "cell_type": "markdown", - "id": "e4cd40d6", + "id": "c7370cfe", "metadata": { "editable": true }, @@ -1192,7 +1192,7 @@ }, { "cell_type": "markdown", - "id": "80521077", + "id": "b20b0422", "metadata": { "editable": true }, @@ -1207,7 +1207,7 @@ }, { "cell_type": "markdown", - "id": "773ffc5b", + "id": "cbcf72bb", "metadata": { "editable": true }, @@ -1220,7 +1220,7 @@ }, { "cell_type": "markdown", - "id": "a53cbb6e", + "id": "61c187d3", "metadata": { "editable": true }, @@ -1233,7 +1233,7 @@ }, { "cell_type": "markdown", - "id": "bc097958", + "id": "67ac3e7e", "metadata": { "editable": true }, @@ -1245,7 +1245,7 @@ }, { "cell_type": "markdown", - "id": "ef9c2642", + "id": "8aff1a0f", "metadata": { "editable": true }, @@ -1258,7 +1258,7 @@ }, { "cell_type": "markdown", - "id": "0bd76803", + "id": "0f67bf9e", "metadata": { "editable": true }, @@ -1269,7 +1269,7 @@ }, { "cell_type": "markdown", - "id": "143a314b", + "id": "0462459a", "metadata": { "editable": true }, @@ -1283,7 +1283,7 @@ }, { "cell_type": "markdown", - "id": "d3bfe73f", + "id": "81bef4b0", "metadata": { "editable": true }, @@ -1293,7 +1293,7 @@ }, { "cell_type": "markdown", - "id": "b0cc0bd3", + "id": "fa89dce4", "metadata": { "editable": true }, @@ -1307,7 +1307,7 @@ }, { "cell_type": "markdown", - "id": "fe4cdf90", + "id": "9967e011", "metadata": { "editable": true }, @@ -1320,7 +1320,7 @@ }, { "cell_type": "markdown", - "id": "d50e1049", + "id": "d5bb8edf", "metadata": { "editable": true }, @@ -1333,7 +1333,7 @@ }, { "cell_type": "markdown", - "id": "a1661648", + "id": "99cce110", "metadata": { "editable": true }, @@ -1343,7 +1343,7 @@ }, { "cell_type": "markdown", - "id": "2b91b999", + "id": "d6daa176", "metadata": { "editable": true }, @@ -1356,7 +1356,7 @@ }, { "cell_type": "markdown", - "id": "d125b2b0", + "id": "9f2c47a4", "metadata": { "editable": true }, @@ -1366,7 +1366,7 @@ }, { "cell_type": "markdown", - "id": "1a76b424", + "id": "fed9dff9", "metadata": { "editable": true }, @@ -1379,7 +1379,7 @@ }, { "cell_type": "markdown", - "id": "6dd2fdaa", + "id": "ec9e1b49", "metadata": { "editable": true }, @@ -1391,7 +1391,7 @@ }, { "cell_type": "markdown", - "id": "50823852", + "id": "1b2affcf", "metadata": { "editable": true }, @@ -1410,7 +1410,7 @@ }, { "cell_type": "markdown", - "id": "44eb282e", + "id": "5aeac1b9", "metadata": { "editable": true }, @@ -1423,7 +1423,7 @@ }, { "cell_type": "markdown", - "id": "ddb7af3a", + "id": "ea0b2510", "metadata": { "editable": true }, @@ -1435,7 +1435,7 @@ }, { "cell_type": "markdown", - "id": "5aba3911", + "id": "08f2490e", "metadata": { "editable": true }, @@ -1448,7 +1448,7 @@ }, { "cell_type": "markdown", - "id": "309c6e8d", + "id": "7fc63b37", "metadata": { "editable": true }, @@ -1468,7 +1468,7 @@ }, { "cell_type": "markdown", - "id": "2b8a5825", + "id": "73764f86", "metadata": { "editable": true }, @@ -1491,7 +1491,7 @@ }, { "cell_type": "markdown", - "id": "1ac0e0c5", + "id": "28bc2214", "metadata": { "editable": true }, @@ -1506,7 +1506,7 @@ }, { "cell_type": "markdown", - "id": "965b8861", + "id": "6f066b73", "metadata": { "editable": true }, @@ -1518,7 +1518,7 @@ }, { "cell_type": "markdown", - "id": "6bf20539", + "id": "8d8212d1", "metadata": { "editable": true }, @@ -1538,7 +1538,7 @@ }, { "cell_type": "markdown", - "id": "5e5f3caf", + "id": "f21712ad", "metadata": { "editable": true }, @@ -1558,7 +1558,7 @@ }, { "cell_type": "markdown", - "id": "e25303c9", + "id": "370f65c8", "metadata": { "editable": true }, @@ -1582,7 +1582,7 @@ }, { "cell_type": "markdown", - "id": "17e45f8a", + "id": "e8f5ddca", "metadata": { "editable": true }, @@ -1603,7 +1603,7 @@ }, { "cell_type": "markdown", - "id": "2b7004da", + "id": "fedb9fdb", "metadata": { "editable": true }, @@ -1633,7 +1633,7 @@ }, { "cell_type": "markdown", - "id": "f74a0ed0", + "id": "177746a6", "metadata": { "editable": true }, @@ -1657,7 +1657,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "a046ccd2", + "id": "c1874811", "metadata": { "collapsed": false, "editable": true @@ -1696,7 +1696,7 @@ }, { "cell_type": "markdown", - "id": "73c1644c", + "id": "6dad6de5", "metadata": { "editable": true }, @@ -1706,7 +1706,7 @@ }, { "cell_type": "markdown", - "id": "13c58372", + "id": "0342164e", "metadata": { "editable": true }, @@ -1717,7 +1717,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "d6be834d", + "id": "0c0490cc", "metadata": { "collapsed": false, "editable": true @@ -1737,7 +1737,7 @@ }, { "cell_type": "markdown", - "id": "e8f4fdb7", + "id": "0adf2510", "metadata": { "editable": true }, @@ -1755,7 +1755,7 @@ }, { "cell_type": "markdown", - "id": "6f25843d", + "id": "df226e05", "metadata": { "editable": true }, @@ -1767,7 +1767,7 @@ }, { "cell_type": "markdown", - "id": "db90826c", + "id": "1c89ed73", "metadata": { "editable": true }, @@ -1784,7 +1784,7 @@ }, { "cell_type": "markdown", - "id": "33d2500c", + "id": "615aae51", "metadata": { "editable": true }, @@ -1796,7 +1796,7 @@ }, { "cell_type": "markdown", - "id": "a3a0de2f", + "id": "09df2f76", "metadata": { "editable": true }, @@ -1806,7 +1806,7 @@ }, { "cell_type": "markdown", - "id": "d6e85182", + "id": "bc115459", "metadata": { "editable": true }, @@ -1818,7 +1818,7 @@ }, { "cell_type": "markdown", - "id": "30a7b4c7", + "id": "a897d31c", "metadata": { "editable": true }, @@ -1835,7 +1835,7 @@ }, { "cell_type": "markdown", - "id": "5ee89617", + "id": "f35ccec2", "metadata": { "editable": true }, @@ -1847,7 +1847,7 @@ }, { "cell_type": "markdown", - "id": "de83691d", + "id": "f78963d0", "metadata": { "editable": true }, @@ -1857,7 +1857,7 @@ }, { "cell_type": "markdown", - "id": "74579267", + "id": "5da42dc1", "metadata": { "editable": true }, @@ -1869,7 +1869,7 @@ }, { "cell_type": "markdown", - "id": "c0e678ce", + "id": "681e6f51", "metadata": { "editable": true }, @@ -1879,7 +1879,7 @@ }, { "cell_type": "markdown", - "id": "2499b0f3", + "id": "0cfeef23", "metadata": { "editable": true }, @@ -1891,7 +1891,7 @@ }, { "cell_type": "markdown", - "id": "16e98eff", + "id": "543454fe", "metadata": { "editable": true }, @@ -1901,7 +1901,7 @@ }, { "cell_type": "markdown", - "id": "9be47ff7", + "id": "9b876527", "metadata": { "editable": true }, @@ -1917,7 +1917,7 @@ }, { "cell_type": "markdown", - "id": "4b95d638", + "id": "3c700f4e", "metadata": { "editable": true }, @@ -1928,7 +1928,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "e17ef0cf", + "id": "99d2acd5", "metadata": { "collapsed": false, "editable": true @@ -1993,7 +1993,7 @@ }, { "cell_type": "markdown", - "id": "a06edf03", + "id": "b41ce01c", "metadata": { "editable": true }, @@ -2004,7 +2004,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "b1683030", + "id": "7c40879d", "metadata": { "collapsed": false, "editable": true @@ -2061,7 +2061,7 @@ }, { "cell_type": "markdown", - "id": "76f9645e", + "id": "494b741b", "metadata": { "editable": true }, @@ -2099,28 +2099,12 @@ }, { "cell_type": "markdown", - "id": "5c31a534", + "id": "68d67d77", "metadata": { "editable": true }, "source": [ - "## Another Example from Scikit-Learn's Repository" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "55cc9c2b", - "metadata": { - "collapsed": false, - "editable": true - }, - "outputs": [], - "source": [ - "\"\"\"\n", - "============================\n", - "Underfitting vs. Overfitting\n", - "============================\n", + "## Another Example from Scikit-Learn's Repository\n", "\n", "This example demonstrates the problems of underfitting and overfitting and\n", "how we can use linear regression with polynomial features to approximate\n", @@ -2133,13 +2117,25 @@ "approximates the true function almost perfectly. However, for higher degrees\n", "the model will **overfit** the training data, i.e. it learns the noise of the\n", "training data.\n", - "We evaluate quantitatively **overfitting** / **underfitting** by using\n", + "We evaluate quantitatively overfitting and underfitting by using\n", "cross-validation. We calculate the mean squared error (MSE) on the validation\n", "set, the higher, the less likely the model generalizes correctly from the\n", - "training data.\n", - "\"\"\"\n", + "training data." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "0b42fc93", + "metadata": { + "collapsed": false, + "editable": true + }, + "outputs": [], + "source": [ "\n", - "print(__doc__)\n", + "\n", + "#print(__doc__)\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -2192,7 +2188,7 @@ }, { "cell_type": "markdown", - "id": "cd98e171", + "id": "d4adf4c3", "metadata": { "editable": true }, @@ -2217,7 +2213,7 @@ }, { "cell_type": "markdown", - "id": "3d78fc14", + "id": "6e6c3fd3", "metadata": { "editable": true }, @@ -2245,7 +2241,7 @@ }, { "cell_type": "markdown", - "id": "5305ce70", + "id": "f56b418c", "metadata": { "editable": true }, @@ -2258,7 +2254,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "5f27ae22", + "id": "64e72139", "metadata": { "collapsed": false, "editable": true @@ -2358,7 +2354,7 @@ }, { "cell_type": "markdown", - "id": "3c53a222", + "id": "92d3a119", "metadata": { "editable": true }, @@ -2369,7 +2365,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "279ce94a", + "id": "20a55cbd", "metadata": { "collapsed": false, "editable": true @@ -2458,7 +2454,7 @@ }, { "cell_type": "markdown", - "id": "f1e3879e", + "id": "0b1ab15d", "metadata": { "editable": true }, @@ -2468,7 +2464,7 @@ }, { "cell_type": "markdown", - "id": "20ef6ef7", + "id": "d04d7a1a", "metadata": { "editable": true }, @@ -2481,7 +2477,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "6ab2b357", + "id": "bbd6bfa9", "metadata": { "collapsed": false, "editable": true @@ -2559,7 +2555,7 @@ }, { "cell_type": "markdown", - "id": "9e81fda6", + "id": "3d61d3cd", "metadata": { "editable": true }, @@ -2569,7 +2565,7 @@ }, { "cell_type": "markdown", - "id": "03d51c97", + "id": "33014e05", "metadata": { "editable": true }, @@ -2598,7 +2594,7 @@ }, { "cell_type": "markdown", - "id": "2396407c", + "id": "af8973e3", "metadata": { "editable": true }, @@ -2614,7 +2610,7 @@ }, { "cell_type": "markdown", - "id": "82fe42dd", + "id": "95f08a4f", "metadata": { "editable": true }, @@ -2633,7 +2629,7 @@ }, { "cell_type": "markdown", - "id": "783548ee", + "id": "69a3772b", "metadata": { "editable": true }, @@ -2647,7 +2643,7 @@ }, { "cell_type": "markdown", - "id": "c8d96d50", + "id": "6f44e2d9", "metadata": { "editable": true }, @@ -2659,7 +2655,7 @@ }, { "cell_type": "markdown", - "id": "fbfe13b9", + "id": "9f820ddc", "metadata": { "editable": true }, @@ -2670,7 +2666,7 @@ }, { "cell_type": "markdown", - "id": "539cfdb4", + "id": "cab623c2", "metadata": { "editable": true }, @@ -2682,7 +2678,7 @@ }, { "cell_type": "markdown", - "id": "39d0f44b", + "id": "47218f25", "metadata": { "editable": true }, @@ -2694,7 +2690,7 @@ }, { "cell_type": "markdown", - "id": "9e2c54ec", + "id": "9290dce4", "metadata": { "editable": true }, @@ -2710,7 +2706,7 @@ }, { "cell_type": "markdown", - "id": "31c30440", + "id": "65a7ab7d", "metadata": { "editable": true }, @@ -2721,7 +2717,7 @@ }, { "cell_type": "markdown", - "id": "49d47ccb", + "id": "a35cbd7b", "metadata": { "editable": true }, @@ -2744,7 +2740,7 @@ }, { "cell_type": "markdown", - "id": "76d35c71", + "id": "0b5e006f", "metadata": { "editable": true }, @@ -2755,7 +2751,7 @@ }, { "cell_type": "markdown", - "id": "ebe8e4ed", + "id": "77270968", "metadata": { "editable": true }, @@ -2767,7 +2763,7 @@ }, { "cell_type": "markdown", - "id": "c1bbcb19", + "id": "49715a2d", "metadata": { "editable": true }, @@ -2779,7 +2775,7 @@ }, { "cell_type": "markdown", - "id": "f328e259", + "id": "fb6a34f4", "metadata": { "editable": true }, @@ -2793,7 +2789,7 @@ }, { "cell_type": "markdown", - "id": "c03ab625", + "id": "942e7e6a", "metadata": { "editable": true }, @@ -2824,7 +2820,7 @@ }, { "cell_type": "markdown", - "id": "b8e6055a", + "id": "f127bfb2", "metadata": { "editable": true }, @@ -2846,7 +2842,7 @@ }, { "cell_type": "markdown", - "id": "0817faf1", + "id": "2def67b5", "metadata": { "editable": true }, @@ -2858,7 +2854,7 @@ }, { "cell_type": "markdown", - "id": "651c7eb5", + "id": "d28e3d89", "metadata": { "editable": true }, @@ -2871,7 +2867,7 @@ }, { "cell_type": "markdown", - "id": "61df0bea", + "id": "ab34b80c", "metadata": { "editable": true }, @@ -2883,7 +2879,7 @@ }, { "cell_type": "markdown", - "id": "013b5610", + "id": "677844a3", "metadata": { "editable": true }, @@ -2895,7 +2891,7 @@ }, { "cell_type": "markdown", - "id": "d6944738", + "id": "89529d82", "metadata": { "editable": true }, @@ -2907,7 +2903,7 @@ }, { "cell_type": "markdown", - "id": "72d180ae", + "id": "688cfbfa", "metadata": { "editable": true }, diff --git a/doc/LectureNotes/_build/html/searchindex.js b/doc/LectureNotes/_build/html/searchindex.js index 2b3a3b23e..9139ba63c 100644 --- a/doc/LectureNotes/_build/html/searchindex.js +++ b/doc/LectureNotes/_build/html/searchindex.js 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Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Exercises week 37","Exercises week 38","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Teaching schedule with links to material","1. 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Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Exercises week 37","Exercises week 38","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Teaching schedule with links to material","1. Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression","Week 36: Linear Regression and Statistical interpretations","Week 37: Statistical interpretations and Resampling 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\ No newline at end of file diff --git a/doc/LectureNotes/_build/html/week37.html b/doc/LectureNotes/_build/html/week37.html index fad403101..754b10159 100644 --- a/doc/LectureNotes/_build/html/week37.html +++ b/doc/LectureNotes/_build/html/week37.html @@ -1623,7 +1623,7 @@ theorem.
Bootstrap Statistics :
original bias std. error
- 100.106 15.0037 100.104 0.149019
+ 100.135 15.1329 100.136 0.151103
Polynomial degree: 3
+Polynomial degree: 3
Error: 0.06547790180152355
Bias^2: 0.06208238634231949
Var: 0.0033955154592040936
@@ -1889,9 +1887,7 @@ Error: 0.02660572763718093
Bias^2: 0.010018312644137363
Var: 0.016587414993043573
0.02660572763718093 >= 0.010018312644137363 + 0.016587414993043573 = 0.026605727637180936
-Polynomial degree: 10
+Polynomial degree: 10
Error: 0.021592704588025025
Bias^2: 0.010516485576645508
Var: 0.011076219011379514
@@ -1901,7 +1897,9 @@ Error: 0.07160048164233104
Bias^2: 0.014436800088904942
Var: 0.05716368155342608
0.07160048164233104 >= 0.014436800088904942 + 0.05716368155342608 = 0.07160048164233102
-Polynomial degree: 12
+Polynomial degree: 12
Error: 0.11547777218872497
Bias^2: 0.01628578269596628
Var: 0.09919198949275869
@@ -1913,7 +1911,7 @@ Var: 0.20867052175034223
0.22842468702219465 >= 0.01975416527185249 + 0.20867052175034223 = 0.2284246870221947
+
@@ -1946,31 +1944,24 @@ flexible statistical methods have higher variance.
This example demonstrates the problems of underfitting and overfitting and +how we can use linear regression with polynomial features to approximate +nonlinear functions. The plot shows the function that we want to approximate, +which is a part of the cosine function. In addition, the samples from the +real function and the approximations of different models are displayed. The +models have polynomial features of different degrees. We can see that a +linear function (polynomial with degree 1) is not sufficient to fit the +training samples. This is called underfitting. A polynomial of degree 4 +approximates the true function almost perfectly. However, for higher degrees +the model will overfit the training data, i.e. it learns the noise of the +training data. +We evaluate quantitatively overfitting and underfitting by using +cross-validation. We calculate the mean squared error (MSE) on the validation +set, the higher, the less likely the model generalizes correctly from the +training data.
"""
-============================
-Underfitting vs. Overfitting
-============================
-
-This example demonstrates the problems of underfitting and overfitting and
-how we can use linear regression with polynomial features to approximate
-nonlinear functions. The plot shows the function that we want to approximate,
-which is a part of the cosine function. In addition, the samples from the
-real function and the approximations of different models are displayed. The
-models have polynomial features of different degrees. We can see that a
-linear function (polynomial with degree 1) is not sufficient to fit the
-training samples. This is called **underfitting**. A polynomial of degree 4
-approximates the true function almost perfectly. However, for higher degrees
-the model will **overfit** the training data, i.e. it learns the noise of the
-training data.
-We evaluate quantitatively **overfitting** / **underfitting** by using
-cross-validation. We calculate the mean squared error (MSE) on the validation
-set, the higher, the less likely the model generalizes correctly from the
-training data.
-"""
-
-print(__doc__)
+#print(__doc__)
import numpy as np
import matplotlib.pyplot as plt
@@ -2023,28 +2014,7 @@ flexible statistical methods have higher variance.
-============================
-Underfitting vs. Overfitting
-============================
-
-This example demonstrates the problems of underfitting and overfitting and
-how we can use linear regression with polynomial features to approximate
-nonlinear functions. The plot shows the function that we want to approximate,
-which is a part of the cosine function. In addition, the samples from the
-real function and the approximations of different models are displayed. The
-models have polynomial features of different degrees. We can see that a
-linear function (polynomial with degree 1) is not sufficient to fit the
-training samples. This is called **underfitting**. A polynomial of degree 4
-approximates the true function almost perfectly. However, for higher degrees
-the model will **overfit** the training data, i.e. it learns the noise of the
-training data.
-We evaluate quantitatively **overfitting** / **underfitting** by using
-cross-validation. We calculate the mean squared error (MSE) on the validation
-set, the higher, the less likely the model generalizes correctly from the
-training data.
-
-
-
+
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92606/626635268.py:73: RuntimeWarning: divide by zero encountered in log10
+/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_96719/626635268.py:73: RuntimeWarning: divide by zero encountered in log10
plt.plot(polynomial, np.log10(trainingerror), label='Training Error')
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92606/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
+/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_96719/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
plt.plot(polynomial, np.log10(testerror), label='Test Error')
@@ -2459,7 +2429,7 @@ Mean squared error on test data: 3099.60342978
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92606/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
+/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_96719/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
plt.plot(polynomial, np.log10(estimated_mse_sklearn), label='Test Error')
diff --git a/doc/LectureNotes/_build/jupyter_execute/week37.ipynb b/doc/LectureNotes/_build/jupyter_execute/week37.ipynb
index 16a579cc4..2ada663bf 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week37.ipynb
+++ b/doc/LectureNotes/_build/jupyter_execute/week37.ipynb
@@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "markdown",
- "id": "14b74d82",
+ "id": "53365fbb",
"metadata": {
"editable": true
},
@@ -14,7 +14,7 @@
},
{
"cell_type": "markdown",
- "id": "98c332a6",
+ "id": "809960d9",
"metadata": {
"editable": true
},
@@ -29,7 +29,7 @@
},
{
"cell_type": "markdown",
- "id": "39288149",
+ "id": "0cac33e9",
"metadata": {
"editable": true
},
@@ -60,7 +60,7 @@
},
{
"cell_type": "markdown",
- "id": "bd562ffb",
+ "id": "d5ba8d48",
"metadata": {
"editable": true
},
@@ -82,7 +82,7 @@
},
{
"cell_type": "markdown",
- "id": "06a5d233",
+ "id": "560073ae",
"metadata": {
"editable": true
},
@@ -92,7 +92,7 @@
},
{
"cell_type": "markdown",
- "id": "ff22a7c4",
+ "id": "58ff8482",
"metadata": {
"editable": true
},
@@ -115,7 +115,7 @@
},
{
"cell_type": "markdown",
- "id": "af426198",
+ "id": "c9ed29f5",
"metadata": {
"editable": true
},
@@ -127,7 +127,7 @@
},
{
"cell_type": "markdown",
- "id": "bc6aece7",
+ "id": "f3e177df",
"metadata": {
"editable": true
},
@@ -140,7 +140,7 @@
},
{
"cell_type": "markdown",
- "id": "0fcaf1fa",
+ "id": "943d3101",
"metadata": {
"editable": true
},
@@ -152,7 +152,7 @@
},
{
"cell_type": "markdown",
- "id": "cabb3149",
+ "id": "bddef09d",
"metadata": {
"editable": true
},
@@ -164,7 +164,7 @@
},
{
"cell_type": "markdown",
- "id": "eaa18a3a",
+ "id": "8d119a52",
"metadata": {
"editable": true
},
@@ -176,7 +176,7 @@
},
{
"cell_type": "markdown",
- "id": "77178b21",
+ "id": "b67e829d",
"metadata": {
"editable": true
},
@@ -187,7 +187,7 @@
},
{
"cell_type": "markdown",
- "id": "7ab08c28",
+ "id": "3a76ed1c",
"metadata": {
"editable": true
},
@@ -199,7 +199,7 @@
},
{
"cell_type": "markdown",
- "id": "f4c18070",
+ "id": "58863d67",
"metadata": {
"editable": true
},
@@ -210,7 +210,7 @@
},
{
"cell_type": "markdown",
- "id": "68333e06",
+ "id": "f3c19d2c",
"metadata": {
"editable": true
},
@@ -222,7 +222,7 @@
},
{
"cell_type": "markdown",
- "id": "a6a23cb1",
+ "id": "fe7606c4",
"metadata": {
"editable": true
},
@@ -232,7 +232,7 @@
},
{
"cell_type": "markdown",
- "id": "2ab81525",
+ "id": "e1d5e31c",
"metadata": {
"editable": true
},
@@ -263,7 +263,7 @@
},
{
"cell_type": "markdown",
- "id": "7ec31ba4",
+ "id": "097eb026",
"metadata": {
"editable": true
},
@@ -275,7 +275,7 @@
},
{
"cell_type": "markdown",
- "id": "7e4143d9",
+ "id": "46e9c4fd",
"metadata": {
"editable": true
},
@@ -287,7 +287,7 @@
},
{
"cell_type": "markdown",
- "id": "807fc498",
+ "id": "20ca4ccb",
"metadata": {
"editable": true
},
@@ -297,7 +297,7 @@
},
{
"cell_type": "markdown",
- "id": "75aea24f",
+ "id": "651adbb5",
"metadata": {
"editable": true
},
@@ -309,7 +309,7 @@
},
{
"cell_type": "markdown",
- "id": "f5781704",
+ "id": "a0d30507",
"metadata": {
"editable": true
},
@@ -319,7 +319,7 @@
},
{
"cell_type": "markdown",
- "id": "73317949",
+ "id": "f3269fe5",
"metadata": {
"editable": true
},
@@ -331,7 +331,7 @@
},
{
"cell_type": "markdown",
- "id": "4a92b413",
+ "id": "f7096467",
"metadata": {
"editable": true
},
@@ -341,7 +341,7 @@
},
{
"cell_type": "markdown",
- "id": "b9e8865f",
+ "id": "e35c1080",
"metadata": {
"editable": true
},
@@ -353,7 +353,7 @@
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@@ -363,7 +363,7 @@
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@@ -383,7 +383,7 @@
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@@ -395,7 +395,7 @@
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{
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@@ -405,7 +405,7 @@
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@@ -417,7 +417,7 @@
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@@ -429,7 +429,7 @@
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@@ -441,7 +441,7 @@
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@@ -453,7 +453,7 @@
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@@ -465,7 +465,7 @@
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{
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@@ -477,7 +477,7 @@
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+ "id": "93806e54",
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@@ -489,7 +489,7 @@
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{
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+ "id": "3a541b25",
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@@ -501,7 +501,7 @@
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{
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@@ -511,7 +511,7 @@
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@@ -523,7 +523,7 @@
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{
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@@ -533,7 +533,7 @@
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{
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@@ -552,7 +552,7 @@
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@@ -573,7 +573,7 @@
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{
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@@ -585,7 +585,7 @@
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{
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@@ -609,7 +609,7 @@
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@@ -631,7 +631,7 @@
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{
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@@ -643,7 +643,7 @@
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@@ -653,7 +653,7 @@
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@@ -665,7 +665,7 @@
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@@ -675,7 +675,7 @@
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{
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@@ -689,7 +689,7 @@
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@@ -701,7 +701,7 @@
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@@ -711,7 +711,7 @@
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{
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@@ -723,7 +723,7 @@
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@@ -733,7 +733,7 @@
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{
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@@ -745,7 +745,7 @@
},
{
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"metadata": {
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@@ -755,7 +755,7 @@
},
{
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+ "id": "a8fe3b56",
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@@ -767,7 +767,7 @@
},
{
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+ "id": "85db28a7",
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@@ -777,7 +777,7 @@
},
{
"cell_type": "markdown",
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+ "id": "e6b6b507",
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@@ -793,7 +793,7 @@
},
{
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+ "id": "00f26321",
"metadata": {
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@@ -805,7 +805,7 @@
},
{
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+ "id": "868f5e5a",
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@@ -815,7 +815,7 @@
},
{
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+ "id": "4e29d1a9",
"metadata": {
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@@ -827,7 +827,7 @@
},
{
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+ "id": "8d1ea123",
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@@ -840,7 +840,7 @@
},
{
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+ "id": "ee32ea7d",
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@@ -852,7 +852,7 @@
},
{
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+ "id": "e05c6359",
"metadata": {
"editable": true
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@@ -862,7 +862,7 @@
},
{
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+ "id": "b2ffe0c0",
"metadata": {
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@@ -874,7 +874,7 @@
},
{
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+ "id": "7fccf482",
"metadata": {
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@@ -884,7 +884,7 @@
},
{
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+ "id": "00a435ee",
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@@ -896,7 +896,7 @@
},
{
"cell_type": "markdown",
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+ "id": "6ed0d41e",
"metadata": {
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@@ -908,7 +908,7 @@
},
{
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+ "id": "2c7c149d",
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@@ -918,7 +918,7 @@
},
{
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+ "id": "77f01008",
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@@ -930,7 +930,7 @@
},
{
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+ "id": "793671d5",
"metadata": {
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@@ -942,7 +942,7 @@
},
{
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+ "id": "4e57ea79",
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@@ -954,7 +954,7 @@
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{
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+ "id": "12f8f838",
"metadata": {
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@@ -964,7 +964,7 @@
},
{
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+ "id": "9cc2459b",
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@@ -976,7 +976,7 @@
},
{
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+ "id": "6c040408",
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@@ -986,7 +986,7 @@
},
{
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+ "id": "86c5648e",
"metadata": {
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@@ -1005,7 +1005,7 @@
},
{
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+ "id": "ef10be44",
"metadata": {
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@@ -1033,7 +1033,7 @@
},
{
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+ "id": "f1c760d9",
"metadata": {
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@@ -1059,7 +1059,7 @@
},
{
"cell_type": "markdown",
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+ "id": "7cab5213",
"metadata": {
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@@ -1076,7 +1076,7 @@
},
{
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+ "id": "abd16598",
"metadata": {
"editable": true
},
@@ -1096,7 +1096,7 @@
},
{
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+ "id": "dc17b500",
"metadata": {
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@@ -1125,7 +1125,7 @@
},
{
"cell_type": "markdown",
- "id": "80fd775f",
+ "id": "ac9620af",
"metadata": {
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},
@@ -1150,7 +1150,7 @@
},
{
"cell_type": "markdown",
- "id": "67af5e5c",
+ "id": "b8ddd5cf",
"metadata": {
"editable": true
},
@@ -1170,7 +1170,7 @@
},
{
"cell_type": "markdown",
- "id": "79ea23d1",
+ "id": "465046b4",
"metadata": {
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@@ -1182,7 +1182,7 @@
},
{
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- "id": "e4cd40d6",
+ "id": "c7370cfe",
"metadata": {
"editable": true
},
@@ -1192,7 +1192,7 @@
},
{
"cell_type": "markdown",
- "id": "80521077",
+ "id": "b20b0422",
"metadata": {
"editable": true
},
@@ -1207,7 +1207,7 @@
},
{
"cell_type": "markdown",
- "id": "773ffc5b",
+ "id": "cbcf72bb",
"metadata": {
"editable": true
},
@@ -1220,7 +1220,7 @@
},
{
"cell_type": "markdown",
- "id": "a53cbb6e",
+ "id": "61c187d3",
"metadata": {
"editable": true
},
@@ -1233,7 +1233,7 @@
},
{
"cell_type": "markdown",
- "id": "bc097958",
+ "id": "67ac3e7e",
"metadata": {
"editable": true
},
@@ -1245,7 +1245,7 @@
},
{
"cell_type": "markdown",
- "id": "ef9c2642",
+ "id": "8aff1a0f",
"metadata": {
"editable": true
},
@@ -1258,7 +1258,7 @@
},
{
"cell_type": "markdown",
- "id": "0bd76803",
+ "id": "0f67bf9e",
"metadata": {
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},
@@ -1269,7 +1269,7 @@
},
{
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- "id": "143a314b",
+ "id": "0462459a",
"metadata": {
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},
@@ -1283,7 +1283,7 @@
},
{
"cell_type": "markdown",
- "id": "d3bfe73f",
+ "id": "81bef4b0",
"metadata": {
"editable": true
},
@@ -1293,7 +1293,7 @@
},
{
"cell_type": "markdown",
- "id": "b0cc0bd3",
+ "id": "fa89dce4",
"metadata": {
"editable": true
},
@@ -1307,7 +1307,7 @@
},
{
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- "id": "fe4cdf90",
+ "id": "9967e011",
"metadata": {
"editable": true
},
@@ -1320,7 +1320,7 @@
},
{
"cell_type": "markdown",
- "id": "d50e1049",
+ "id": "d5bb8edf",
"metadata": {
"editable": true
},
@@ -1333,7 +1333,7 @@
},
{
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- "id": "a1661648",
+ "id": "99cce110",
"metadata": {
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},
@@ -1343,7 +1343,7 @@
},
{
"cell_type": "markdown",
- "id": "2b91b999",
+ "id": "d6daa176",
"metadata": {
"editable": true
},
@@ -1356,7 +1356,7 @@
},
{
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- "id": "d125b2b0",
+ "id": "9f2c47a4",
"metadata": {
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@@ -1366,7 +1366,7 @@
},
{
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- "id": "1a76b424",
+ "id": "fed9dff9",
"metadata": {
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@@ -1379,7 +1379,7 @@
},
{
"cell_type": "markdown",
- "id": "6dd2fdaa",
+ "id": "ec9e1b49",
"metadata": {
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@@ -1391,7 +1391,7 @@
},
{
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- "id": "50823852",
+ "id": "1b2affcf",
"metadata": {
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},
@@ -1410,7 +1410,7 @@
},
{
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- "id": "44eb282e",
+ "id": "5aeac1b9",
"metadata": {
"editable": true
},
@@ -1423,7 +1423,7 @@
},
{
"cell_type": "markdown",
- "id": "ddb7af3a",
+ "id": "ea0b2510",
"metadata": {
"editable": true
},
@@ -1435,7 +1435,7 @@
},
{
"cell_type": "markdown",
- "id": "5aba3911",
+ "id": "08f2490e",
"metadata": {
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},
@@ -1448,7 +1448,7 @@
},
{
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+ "id": "7fc63b37",
"metadata": {
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},
@@ -1468,7 +1468,7 @@
},
{
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+ "id": "73764f86",
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@@ -1491,7 +1491,7 @@
},
{
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- "id": "1ac0e0c5",
+ "id": "28bc2214",
"metadata": {
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},
@@ -1506,7 +1506,7 @@
},
{
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- "id": "965b8861",
+ "id": "6f066b73",
"metadata": {
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@@ -1518,7 +1518,7 @@
},
{
"cell_type": "markdown",
- "id": "6bf20539",
+ "id": "8d8212d1",
"metadata": {
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},
@@ -1538,7 +1538,7 @@
},
{
"cell_type": "markdown",
- "id": "5e5f3caf",
+ "id": "f21712ad",
"metadata": {
"editable": true
},
@@ -1558,7 +1558,7 @@
},
{
"cell_type": "markdown",
- "id": "e25303c9",
+ "id": "370f65c8",
"metadata": {
"editable": true
},
@@ -1582,7 +1582,7 @@
},
{
"cell_type": "markdown",
- "id": "17e45f8a",
+ "id": "e8f5ddca",
"metadata": {
"editable": true
},
@@ -1603,7 +1603,7 @@
},
{
"cell_type": "markdown",
- "id": "2b7004da",
+ "id": "fedb9fdb",
"metadata": {
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},
@@ -1633,7 +1633,7 @@
},
{
"cell_type": "markdown",
- "id": "f74a0ed0",
+ "id": "177746a6",
"metadata": {
"editable": true
},
@@ -1657,7 +1657,7 @@
{
"cell_type": "code",
"execution_count": 1,
- "id": "a046ccd2",
+ "id": "c1874811",
"metadata": {
"collapsed": false,
"editable": true
@@ -1669,7 +1669,7 @@
"text": [
"Bootstrap Statistics :\n",
"original bias std. error\n",
- " 100.106 15.0037 100.104 0.149019\n"
+ " 100.135 15.1329 100.136 0.151103\n"
]
}
],
@@ -1706,7 +1706,7 @@
},
{
"cell_type": "markdown",
- "id": "73c1644c",
+ "id": "6dad6de5",
"metadata": {
"editable": true
},
@@ -1716,7 +1716,7 @@
},
{
"cell_type": "markdown",
- "id": "13c58372",
+ "id": "0342164e",
"metadata": {
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},
@@ -1727,7 +1727,7 @@
{
"cell_type": "code",
"execution_count": 2,
- "id": "d6be834d",
+ "id": "0c0490cc",
"metadata": {
"collapsed": false,
"editable": true
@@ -1735,7 +1735,7 @@
"outputs": [
{
"data": {
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",
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",
"text/plain": [
""
]
@@ -1762,7 +1762,7 @@
},
{
"cell_type": "markdown",
- "id": "e8f4fdb7",
+ "id": "0adf2510",
"metadata": {
"editable": true
},
@@ -1780,7 +1780,7 @@
},
{
"cell_type": "markdown",
- "id": "6f25843d",
+ "id": "df226e05",
"metadata": {
"editable": true
},
@@ -1792,7 +1792,7 @@
},
{
"cell_type": "markdown",
- "id": "db90826c",
+ "id": "1c89ed73",
"metadata": {
"editable": true
},
@@ -1809,7 +1809,7 @@
},
{
"cell_type": "markdown",
- "id": "33d2500c",
+ "id": "615aae51",
"metadata": {
"editable": true
},
@@ -1821,7 +1821,7 @@
},
{
"cell_type": "markdown",
- "id": "a3a0de2f",
+ "id": "09df2f76",
"metadata": {
"editable": true
},
@@ -1831,7 +1831,7 @@
},
{
"cell_type": "markdown",
- "id": "d6e85182",
+ "id": "bc115459",
"metadata": {
"editable": true
},
@@ -1843,7 +1843,7 @@
},
{
"cell_type": "markdown",
- "id": "30a7b4c7",
+ "id": "a897d31c",
"metadata": {
"editable": true
},
@@ -1860,7 +1860,7 @@
},
{
"cell_type": "markdown",
- "id": "5ee89617",
+ "id": "f35ccec2",
"metadata": {
"editable": true
},
@@ -1872,7 +1872,7 @@
},
{
"cell_type": "markdown",
- "id": "de83691d",
+ "id": "f78963d0",
"metadata": {
"editable": true
},
@@ -1882,7 +1882,7 @@
},
{
"cell_type": "markdown",
- "id": "74579267",
+ "id": "5da42dc1",
"metadata": {
"editable": true
},
@@ -1894,7 +1894,7 @@
},
{
"cell_type": "markdown",
- "id": "c0e678ce",
+ "id": "681e6f51",
"metadata": {
"editable": true
},
@@ -1904,7 +1904,7 @@
},
{
"cell_type": "markdown",
- "id": "2499b0f3",
+ "id": "0cfeef23",
"metadata": {
"editable": true
},
@@ -1916,7 +1916,7 @@
},
{
"cell_type": "markdown",
- "id": "16e98eff",
+ "id": "543454fe",
"metadata": {
"editable": true
},
@@ -1926,7 +1926,7 @@
},
{
"cell_type": "markdown",
- "id": "9be47ff7",
+ "id": "9b876527",
"metadata": {
"editable": true
},
@@ -1942,7 +1942,7 @@
},
{
"cell_type": "markdown",
- "id": "4b95d638",
+ "id": "3c700f4e",
"metadata": {
"editable": true
},
@@ -1953,7 +1953,7 @@
{
"cell_type": "code",
"execution_count": 3,
- "id": "e17ef0cf",
+ "id": "99d2acd5",
"metadata": {
"collapsed": false,
"editable": true
@@ -2043,7 +2043,7 @@
},
{
"cell_type": "markdown",
- "id": "a06edf03",
+ "id": "b41ce01c",
"metadata": {
"editable": true
},
@@ -2054,7 +2054,7 @@
{
"cell_type": "code",
"execution_count": 4,
- "id": "b1683030",
+ "id": "7c40879d",
"metadata": {
"collapsed": false,
"editable": true
@@ -2078,13 +2078,7 @@
"Error: 0.10398646080125035\n",
"Bias^2: 0.1007711427354898\n",
"Var: 0.0032153180657605116\n",
- "0.10398646080125035 >= 0.1007711427354898 + 0.0032153180657605116 = 0.10398646080125032\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
+ "0.10398646080125035 >= 0.1007711427354898 + 0.0032153180657605116 = 0.10398646080125032\n",
"Polynomial degree: 3\n",
"Error: 0.06547790180152355\n",
"Bias^2: 0.06208238634231949\n",
@@ -2131,13 +2125,7 @@
"Error: 0.02660572763718093\n",
"Bias^2: 0.010018312644137363\n",
"Var: 0.016587414993043573\n",
- "0.02660572763718093 >= 0.010018312644137363 + 0.016587414993043573 = 0.026605727637180936\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
+ "0.02660572763718093 >= 0.010018312644137363 + 0.016587414993043573 = 0.026605727637180936\n",
"Polynomial degree: 10\n",
"Error: 0.021592704588025025\n",
"Bias^2: 0.010516485576645508\n",
@@ -2147,7 +2135,13 @@
"Error: 0.07160048164233104\n",
"Bias^2: 0.014436800088904942\n",
"Var: 0.05716368155342608\n",
- "0.07160048164233104 >= 0.014436800088904942 + 0.05716368155342608 = 0.07160048164233102\n",
+ "0.07160048164233104 >= 0.014436800088904942 + 0.05716368155342608 = 0.07160048164233102\n"
+ ]
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
"Polynomial degree: 12\n",
"Error: 0.11547777218872497\n",
"Bias^2: 0.01628578269596628\n",
@@ -2169,7 +2163,7 @@
},
"metadata": {
"filenames": {
- "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week37_139_5.png"
+ "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week37_139_4.png"
}
},
"output_type": "display_data"
@@ -2226,7 +2220,7 @@
},
{
"cell_type": "markdown",
- "id": "76f9645e",
+ "id": "494b741b",
"metadata": {
"editable": true
},
@@ -2264,70 +2258,12 @@
},
{
"cell_type": "markdown",
- "id": "5c31a534",
+ "id": "68d67d77",
"metadata": {
"editable": true
},
"source": [
- "## Another Example from Scikit-Learn's Repository"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "id": "55cc9c2b",
- "metadata": {
- "collapsed": false,
- "editable": true
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\n",
- "============================\n",
- "Underfitting vs. Overfitting\n",
- "============================\n",
- "\n",
- "This example demonstrates the problems of underfitting and overfitting and\n",
- "how we can use linear regression with polynomial features to approximate\n",
- "nonlinear functions. The plot shows the function that we want to approximate,\n",
- "which is a part of the cosine function. In addition, the samples from the\n",
- "real function and the approximations of different models are displayed. The\n",
- "models have polynomial features of different degrees. We can see that a\n",
- "linear function (polynomial with degree 1) is not sufficient to fit the\n",
- "training samples. This is called **underfitting**. A polynomial of degree 4\n",
- "approximates the true function almost perfectly. However, for higher degrees\n",
- "the model will **overfit** the training data, i.e. it learns the noise of the\n",
- "training data.\n",
- "We evaluate quantitatively **overfitting** / **underfitting** by using\n",
- "cross-validation. We calculate the mean squared error (MSE) on the validation\n",
- "set, the higher, the less likely the model generalizes correctly from the\n",
- "training data.\n",
- "\n"
- ]
- },
- {
- "data": {
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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "filenames": {
- "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week37_142_1.png"
- }
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "\"\"\"\n",
- "============================\n",
- "Underfitting vs. Overfitting\n",
- "============================\n",
+ "## Another Example from Scikit-Learn's Repository\n",
"\n",
"This example demonstrates the problems of underfitting and overfitting and\n",
"how we can use linear regression with polynomial features to approximate\n",
@@ -2340,13 +2276,40 @@
"approximates the true function almost perfectly. However, for higher degrees\n",
"the model will **overfit** the training data, i.e. it learns the noise of the\n",
"training data.\n",
- "We evaluate quantitatively **overfitting** / **underfitting** by using\n",
+ "We evaluate quantitatively overfitting and underfitting by using\n",
"cross-validation. We calculate the mean squared error (MSE) on the validation\n",
"set, the higher, the less likely the model generalizes correctly from the\n",
- "training data.\n",
- "\"\"\"\n",
+ "training data."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "0b42fc93",
+ "metadata": {
+ "collapsed": false,
+ "editable": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "filenames": {
+ "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week37_142_0.png"
+ }
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
"\n",
- "print(__doc__)\n",
+ "\n",
+ "#print(__doc__)\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
@@ -2399,7 +2362,7 @@
},
{
"cell_type": "markdown",
- "id": "cd98e171",
+ "id": "d4adf4c3",
"metadata": {
"editable": true
},
@@ -2424,7 +2387,7 @@
},
{
"cell_type": "markdown",
- "id": "3d78fc14",
+ "id": "6e6c3fd3",
"metadata": {
"editable": true
},
@@ -2452,7 +2415,7 @@
},
{
"cell_type": "markdown",
- "id": "5305ce70",
+ "id": "f56b418c",
"metadata": {
"editable": true
},
@@ -2465,7 +2428,7 @@
{
"cell_type": "code",
"execution_count": 6,
- "id": "5f27ae22",
+ "id": "64e72139",
"metadata": {
"collapsed": false,
"editable": true
@@ -2580,7 +2543,7 @@
},
{
"cell_type": "markdown",
- "id": "3c53a222",
+ "id": "92d3a119",
"metadata": {
"editable": true
},
@@ -2591,7 +2554,7 @@
{
"cell_type": "code",
"execution_count": 7,
- "id": "279ce94a",
+ "id": "20a55cbd",
"metadata": {
"collapsed": false,
"editable": true
@@ -2736,9 +2699,9 @@
"name": "stderr",
"output_type": "stream",
"text": [
- "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92606/626635268.py:73: RuntimeWarning: divide by zero encountered in log10\n",
+ "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_96719/626635268.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_92606/626635268.py:74: RuntimeWarning: divide by zero encountered in log10\n",
+ "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_96719/626635268.py:74: RuntimeWarning: divide by zero encountered in log10\n",
" plt.plot(polynomial, np.log10(testerror), label='Test Error')\n"
]
},
@@ -2840,7 +2803,7 @@
},
{
"cell_type": "markdown",
- "id": "f1e3879e",
+ "id": "0b1ab15d",
"metadata": {
"editable": true
},
@@ -2850,7 +2813,7 @@
},
{
"cell_type": "markdown",
- "id": "20ef6ef7",
+ "id": "d04d7a1a",
"metadata": {
"editable": true
},
@@ -2863,7 +2826,7 @@
{
"cell_type": "code",
"execution_count": 8,
- "id": "6ab2b357",
+ "id": "bbd6bfa9",
"metadata": {
"collapsed": false,
"editable": true
@@ -2873,7 +2836,7 @@
"name": "stderr",
"output_type": "stream",
"text": [
- "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92606/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10\n",
+ "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_96719/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10\n",
" plt.plot(polynomial, np.log10(estimated_mse_sklearn), label='Test Error')\n"
]
},
@@ -2964,7 +2927,7 @@
},
{
"cell_type": "markdown",
- "id": "9e81fda6",
+ "id": "3d61d3cd",
"metadata": {
"editable": true
},
@@ -2974,7 +2937,7 @@
},
{
"cell_type": "markdown",
- "id": "03d51c97",
+ "id": "33014e05",
"metadata": {
"editable": true
},
@@ -3003,7 +2966,7 @@
},
{
"cell_type": "markdown",
- "id": "2396407c",
+ "id": "af8973e3",
"metadata": {
"editable": true
},
@@ -3019,7 +2982,7 @@
},
{
"cell_type": "markdown",
- "id": "82fe42dd",
+ "id": "95f08a4f",
"metadata": {
"editable": true
},
@@ -3038,7 +3001,7 @@
},
{
"cell_type": "markdown",
- "id": "783548ee",
+ "id": "69a3772b",
"metadata": {
"editable": true
},
@@ -3052,7 +3015,7 @@
},
{
"cell_type": "markdown",
- "id": "c8d96d50",
+ "id": "6f44e2d9",
"metadata": {
"editable": true
},
@@ -3064,7 +3027,7 @@
},
{
"cell_type": "markdown",
- "id": "fbfe13b9",
+ "id": "9f820ddc",
"metadata": {
"editable": true
},
@@ -3075,7 +3038,7 @@
},
{
"cell_type": "markdown",
- "id": "539cfdb4",
+ "id": "cab623c2",
"metadata": {
"editable": true
},
@@ -3087,7 +3050,7 @@
},
{
"cell_type": "markdown",
- "id": "39d0f44b",
+ "id": "47218f25",
"metadata": {
"editable": true
},
@@ -3099,7 +3062,7 @@
},
{
"cell_type": "markdown",
- "id": "9e2c54ec",
+ "id": "9290dce4",
"metadata": {
"editable": true
},
@@ -3115,7 +3078,7 @@
},
{
"cell_type": "markdown",
- "id": "31c30440",
+ "id": "65a7ab7d",
"metadata": {
"editable": true
},
@@ -3126,7 +3089,7 @@
},
{
"cell_type": "markdown",
- "id": "49d47ccb",
+ "id": "a35cbd7b",
"metadata": {
"editable": true
},
@@ -3149,7 +3112,7 @@
},
{
"cell_type": "markdown",
- "id": "76d35c71",
+ "id": "0b5e006f",
"metadata": {
"editable": true
},
@@ -3160,7 +3123,7 @@
},
{
"cell_type": "markdown",
- "id": "ebe8e4ed",
+ "id": "77270968",
"metadata": {
"editable": true
},
@@ -3172,7 +3135,7 @@
},
{
"cell_type": "markdown",
- "id": "c1bbcb19",
+ "id": "49715a2d",
"metadata": {
"editable": true
},
@@ -3184,7 +3147,7 @@
},
{
"cell_type": "markdown",
- "id": "f328e259",
+ "id": "fb6a34f4",
"metadata": {
"editable": true
},
@@ -3198,7 +3161,7 @@
},
{
"cell_type": "markdown",
- "id": "c03ab625",
+ "id": "942e7e6a",
"metadata": {
"editable": true
},
@@ -3229,7 +3192,7 @@
},
{
"cell_type": "markdown",
- "id": "b8e6055a",
+ "id": "f127bfb2",
"metadata": {
"editable": true
},
@@ -3251,7 +3214,7 @@
},
{
"cell_type": "markdown",
- "id": "0817faf1",
+ "id": "2def67b5",
"metadata": {
"editable": true
},
@@ -3263,7 +3226,7 @@
},
{
"cell_type": "markdown",
- "id": "651c7eb5",
+ "id": "d28e3d89",
"metadata": {
"editable": true
},
@@ -3276,7 +3239,7 @@
},
{
"cell_type": "markdown",
- "id": "61df0bea",
+ "id": "ab34b80c",
"metadata": {
"editable": true
},
@@ -3288,7 +3251,7 @@
},
{
"cell_type": "markdown",
- "id": "013b5610",
+ "id": "677844a3",
"metadata": {
"editable": true
},
@@ -3300,7 +3263,7 @@
},
{
"cell_type": "markdown",
- "id": "d6944738",
+ "id": "89529d82",
"metadata": {
"editable": true
},
@@ -3312,7 +3275,7 @@
},
{
"cell_type": "markdown",
- "id": "72d180ae",
+ "id": "688cfbfa",
"metadata": {
"editable": true
},
diff --git a/doc/LectureNotes/_build/jupyter_execute/week37.py b/doc/LectureNotes/_build/jupyter_execute/week37.py
index 48ea2c6b7..9e1d1126a 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week37.py
+++ b/doc/LectureNotes/_build/jupyter_execute/week37.py
@@ -975,33 +975,27 @@ plt.show()
# You may also find this recent [article](https://www.pnas.org/content/116/32/15849) of interest.
# ## Another Example from Scikit-Learn's Repository
+#
+# This example demonstrates the problems of underfitting and overfitting and
+# how we can use linear regression with polynomial features to approximate
+# nonlinear functions. The plot shows the function that we want to approximate,
+# which is a part of the cosine function. In addition, the samples from the
+# real function and the approximations of different models are displayed. The
+# models have polynomial features of different degrees. We can see that a
+# linear function (polynomial with degree 1) is not sufficient to fit the
+# training samples. This is called **underfitting**. A polynomial of degree 4
+# approximates the true function almost perfectly. However, for higher degrees
+# the model will **overfit** the training data, i.e. it learns the noise of the
+# training data.
+# We evaluate quantitatively overfitting and underfitting by using
+# cross-validation. We calculate the mean squared error (MSE) on the validation
+# set, the higher, the less likely the model generalizes correctly from the
+# training data.
# In[5]:
-"""
-============================
-Underfitting vs. Overfitting
-============================
-
-This example demonstrates the problems of underfitting and overfitting and
-how we can use linear regression with polynomial features to approximate
-nonlinear functions. The plot shows the function that we want to approximate,
-which is a part of the cosine function. In addition, the samples from the
-real function and the approximations of different models are displayed. The
-models have polynomial features of different degrees. We can see that a
-linear function (polynomial with degree 1) is not sufficient to fit the
-training samples. This is called **underfitting**. A polynomial of degree 4
-approximates the true function almost perfectly. However, for higher degrees
-the model will **overfit** the training data, i.e. it learns the noise of the
-training data.
-We evaluate quantitatively **overfitting** / **underfitting** by using
-cross-validation. We calculate the mean squared error (MSE) on the validation
-set, the higher, the less likely the model generalizes correctly from the
-training data.
-"""
-
-print(__doc__)
+#print(__doc__)
import numpy as np
import matplotlib.pyplot as plt
diff --git a/doc/LectureNotes/_build/jupyter_execute/week37_121_0.png b/doc/LectureNotes/_build/jupyter_execute/week37_121_0.png
index 3bad8d751..cc330f472 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
diff --git a/doc/LectureNotes/_build/jupyter_execute/week37_139_4.png b/doc/LectureNotes/_build/jupyter_execute/week37_139_4.png
new file mode 100644
index 000000000..9ebeeb751
Binary files /dev/null and b/doc/LectureNotes/_build/jupyter_execute/week37_139_4.png differ
diff --git a/doc/LectureNotes/_build/jupyter_execute/week37_142_0.png b/doc/LectureNotes/_build/jupyter_execute/week37_142_0.png
new file mode 100644
index 000000000..a8501ad62
Binary files /dev/null and b/doc/LectureNotes/_build/jupyter_execute/week37_142_0.png differ
diff --git a/doc/LectureNotes/week37.ipynb b/doc/LectureNotes/week37.ipynb
index 23e4f6cc9..70763a9b5 100644
--- a/doc/LectureNotes/week37.ipynb
+++ b/doc/LectureNotes/week37.ipynb
@@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "markdown",
- "id": "14b74d82",
+ "id": "53365fbb",
"metadata": {
"editable": true
},
@@ -14,7 +14,7 @@
},
{
"cell_type": "markdown",
- "id": "98c332a6",
+ "id": "809960d9",
"metadata": {
"editable": true
},
@@ -29,7 +29,7 @@
},
{
"cell_type": "markdown",
- "id": "39288149",
+ "id": "0cac33e9",
"metadata": {
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},
@@ -60,7 +60,7 @@
},
{
"cell_type": "markdown",
- "id": "bd562ffb",
+ "id": "d5ba8d48",
"metadata": {
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@@ -82,7 +82,7 @@
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{
"cell_type": "markdown",
- "id": "06a5d233",
+ "id": "560073ae",
"metadata": {
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@@ -92,7 +92,7 @@
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{
"cell_type": "markdown",
- "id": "ff22a7c4",
+ "id": "58ff8482",
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@@ -115,7 +115,7 @@
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{
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- "id": "af426198",
+ "id": "c9ed29f5",
"metadata": {
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@@ -127,7 +127,7 @@
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{
"cell_type": "markdown",
- "id": "bc6aece7",
+ "id": "f3e177df",
"metadata": {
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@@ -140,7 +140,7 @@
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{
"cell_type": "markdown",
- "id": "0fcaf1fa",
+ "id": "943d3101",
"metadata": {
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@@ -152,7 +152,7 @@
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{
"cell_type": "markdown",
- "id": "cabb3149",
+ "id": "bddef09d",
"metadata": {
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@@ -164,7 +164,7 @@
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{
"cell_type": "markdown",
- "id": "eaa18a3a",
+ "id": "8d119a52",
"metadata": {
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@@ -176,7 +176,7 @@
},
{
"cell_type": "markdown",
- "id": "77178b21",
+ "id": "b67e829d",
"metadata": {
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@@ -187,7 +187,7 @@
},
{
"cell_type": "markdown",
- "id": "7ab08c28",
+ "id": "3a76ed1c",
"metadata": {
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@@ -199,7 +199,7 @@
},
{
"cell_type": "markdown",
- "id": "f4c18070",
+ "id": "58863d67",
"metadata": {
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@@ -210,7 +210,7 @@
},
{
"cell_type": "markdown",
- "id": "68333e06",
+ "id": "f3c19d2c",
"metadata": {
"editable": true
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@@ -222,7 +222,7 @@
},
{
"cell_type": "markdown",
- "id": "a6a23cb1",
+ "id": "fe7606c4",
"metadata": {
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@@ -232,7 +232,7 @@
},
{
"cell_type": "markdown",
- "id": "2ab81525",
+ "id": "e1d5e31c",
"metadata": {
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@@ -263,7 +263,7 @@
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{
"cell_type": "markdown",
- "id": "7ec31ba4",
+ "id": "097eb026",
"metadata": {
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@@ -275,7 +275,7 @@
},
{
"cell_type": "markdown",
- "id": "7e4143d9",
+ "id": "46e9c4fd",
"metadata": {
"editable": true
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@@ -287,7 +287,7 @@
},
{
"cell_type": "markdown",
- "id": "807fc498",
+ "id": "20ca4ccb",
"metadata": {
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@@ -297,7 +297,7 @@
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{
"cell_type": "markdown",
- "id": "75aea24f",
+ "id": "651adbb5",
"metadata": {
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@@ -309,7 +309,7 @@
},
{
"cell_type": "markdown",
- "id": "f5781704",
+ "id": "a0d30507",
"metadata": {
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@@ -319,7 +319,7 @@
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{
"cell_type": "markdown",
- "id": "73317949",
+ "id": "f3269fe5",
"metadata": {
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@@ -331,7 +331,7 @@
},
{
"cell_type": "markdown",
- "id": "4a92b413",
+ "id": "f7096467",
"metadata": {
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@@ -341,7 +341,7 @@
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{
"cell_type": "markdown",
- "id": "b9e8865f",
+ "id": "e35c1080",
"metadata": {
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@@ -353,7 +353,7 @@
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{
"cell_type": "markdown",
- "id": "ce99993b",
+ "id": "6392c0ea",
"metadata": {
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@@ -363,7 +363,7 @@
},
{
"cell_type": "markdown",
- "id": "1c1e5ca5",
+ "id": "ac50371f",
"metadata": {
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@@ -383,7 +383,7 @@
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{
"cell_type": "markdown",
- "id": "94efedeb",
+ "id": "b73c9d79",
"metadata": {
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@@ -395,7 +395,7 @@
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{
"cell_type": "markdown",
- "id": "7bff18f4",
+ "id": "ab4c6470",
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@@ -405,7 +405,7 @@
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{
"cell_type": "markdown",
- "id": "9dab4cc8",
+ "id": "08a17057",
"metadata": {
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@@ -417,7 +417,7 @@
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{
"cell_type": "markdown",
- "id": "301a7e63",
+ "id": "248c56c1",
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@@ -429,7 +429,7 @@
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{
"cell_type": "markdown",
- "id": "e1637fca",
+ "id": "7d49c8f2",
"metadata": {
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@@ -441,7 +441,7 @@
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{
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- "id": "8318379c",
+ "id": "8b7ebd86",
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@@ -453,7 +453,7 @@
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{
"cell_type": "markdown",
- "id": "42d22c8d",
+ "id": "ec8cf10c",
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@@ -465,7 +465,7 @@
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{
"cell_type": "markdown",
- "id": "82010f47",
+ "id": "7572b3bd",
"metadata": {
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@@ -477,7 +477,7 @@
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{
"cell_type": "markdown",
- "id": "5e520f96",
+ "id": "93806e54",
"metadata": {
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@@ -489,7 +489,7 @@
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{
"cell_type": "markdown",
- "id": "2b74f753",
+ "id": "3a541b25",
"metadata": {
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@@ -501,7 +501,7 @@
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{
"cell_type": "markdown",
- "id": "2c65cf69",
+ "id": "3ad6731a",
"metadata": {
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@@ -511,7 +511,7 @@
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{
"cell_type": "markdown",
- "id": "ef72c5f7",
+ "id": "0b97ba97",
"metadata": {
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@@ -523,7 +523,7 @@
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{
"cell_type": "markdown",
- "id": "f009bb84",
+ "id": "f96a2bd1",
"metadata": {
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@@ -533,7 +533,7 @@
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{
"cell_type": "markdown",
- "id": "38bed0cd",
+ "id": "90c7d471",
"metadata": {
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@@ -552,7 +552,7 @@
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{
"cell_type": "markdown",
- "id": "8ccc70ec",
+ "id": "2f5cdb57",
"metadata": {
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@@ -573,7 +573,7 @@
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{
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- "id": "fea10ce4",
+ "id": "55d2bfb6",
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@@ -585,7 +585,7 @@
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{
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+ "id": "2a1ea166",
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@@ -596,7 +596,7 @@
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{
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- "id": "989dcbed",
+ "id": "3a4cea04",
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@@ -609,7 +609,7 @@
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{
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+ "id": "848763b6",
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@@ -621,7 +621,7 @@
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{
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- "id": "445466d0",
+ "id": "cb8668ac",
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@@ -631,7 +631,7 @@
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{
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+ "id": "196d47ff",
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@@ -643,7 +643,7 @@
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+ "id": "38c54891",
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@@ -653,7 +653,7 @@
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{
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+ "id": "5fb29180",
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@@ -665,7 +665,7 @@
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+ "id": "bd303a51",
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@@ -675,7 +675,7 @@
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@@ -689,7 +689,7 @@
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@@ -701,7 +701,7 @@
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@@ -711,7 +711,7 @@
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@@ -733,7 +733,7 @@
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@@ -745,7 +745,7 @@
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@@ -777,7 +777,7 @@
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@@ -1076,7 +1076,7 @@
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@@ -1096,7 +1096,7 @@
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@@ -1125,7 +1125,7 @@
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@@ -1150,7 +1150,7 @@
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@@ -1170,7 +1170,7 @@
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@@ -1182,7 +1182,7 @@
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+ "id": "c7370cfe",
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@@ -1192,7 +1192,7 @@
},
{
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- "id": "80521077",
+ "id": "b20b0422",
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@@ -1207,7 +1207,7 @@
},
{
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+ "id": "cbcf72bb",
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@@ -1220,7 +1220,7 @@
},
{
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@@ -1233,7 +1233,7 @@
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{
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- "id": "bc097958",
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@@ -1245,7 +1245,7 @@
},
{
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+ "id": "8aff1a0f",
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@@ -1258,7 +1258,7 @@
},
{
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+ "id": "0f67bf9e",
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@@ -1269,7 +1269,7 @@
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{
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@@ -1283,7 +1283,7 @@
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@@ -1293,7 +1293,7 @@
},
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@@ -1307,7 +1307,7 @@
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@@ -1320,7 +1320,7 @@
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@@ -1333,7 +1333,7 @@
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@@ -1343,7 +1343,7 @@
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@@ -1356,7 +1356,7 @@
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@@ -1366,7 +1366,7 @@
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@@ -1379,7 +1379,7 @@
},
{
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+ "id": "ec9e1b49",
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@@ -1391,7 +1391,7 @@
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{
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+ "id": "1b2affcf",
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@@ -1410,7 +1410,7 @@
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{
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+ "id": "5aeac1b9",
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@@ -1423,7 +1423,7 @@
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+ "id": "ea0b2510",
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@@ -1435,7 +1435,7 @@
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{
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+ "id": "08f2490e",
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@@ -1448,7 +1448,7 @@
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+ "id": "7fc63b37",
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@@ -1468,7 +1468,7 @@
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{
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+ "id": "73764f86",
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@@ -1491,7 +1491,7 @@
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+ "id": "28bc2214",
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@@ -1506,7 +1506,7 @@
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@@ -1518,7 +1518,7 @@
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@@ -1538,7 +1538,7 @@
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@@ -1558,7 +1558,7 @@
},
{
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@@ -1582,7 +1582,7 @@
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@@ -1603,7 +1603,7 @@
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@@ -1633,7 +1633,7 @@
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@@ -1657,7 +1657,7 @@
{
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@@ -1696,7 +1696,7 @@
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@@ -1706,7 +1706,7 @@
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{
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+ "id": "0342164e",
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@@ -1717,7 +1717,7 @@
{
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@@ -1737,7 +1737,7 @@
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@@ -1755,7 +1755,7 @@
},
{
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+ "id": "df226e05",
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@@ -1767,7 +1767,7 @@
},
{
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+ "id": "1c89ed73",
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@@ -1784,7 +1784,7 @@
},
{
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+ "id": "615aae51",
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@@ -1796,7 +1796,7 @@
},
{
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@@ -1806,7 +1806,7 @@
},
{
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+ "id": "bc115459",
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@@ -1818,7 +1818,7 @@
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{
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+ "id": "a897d31c",
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@@ -1835,7 +1835,7 @@
},
{
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+ "id": "f35ccec2",
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@@ -1847,7 +1847,7 @@
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{
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+ "id": "f78963d0",
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@@ -1857,7 +1857,7 @@
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{
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@@ -1869,7 +1869,7 @@
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{
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@@ -1879,7 +1879,7 @@
},
{
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@@ -1891,7 +1891,7 @@
},
{
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+ "id": "543454fe",
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@@ -1901,7 +1901,7 @@
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{
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+ "id": "9b876527",
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@@ -1917,7 +1917,7 @@
},
{
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+ "id": "3c700f4e",
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@@ -1928,7 +1928,7 @@
{
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- "id": "e17ef0cf",
+ "id": "99d2acd5",
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@@ -1993,7 +1993,7 @@
},
{
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- "id": "a06edf03",
+ "id": "b41ce01c",
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@@ -2004,7 +2004,7 @@
{
"cell_type": "code",
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- "id": "b1683030",
+ "id": "7c40879d",
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@@ -2061,7 +2061,7 @@
},
{
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- "id": "76f9645e",
+ "id": "494b741b",
"metadata": {
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@@ -2099,28 +2099,12 @@
},
{
"cell_type": "markdown",
- "id": "5c31a534",
+ "id": "68d67d77",
"metadata": {
"editable": true
},
"source": [
- "## Another Example from Scikit-Learn's Repository"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "id": "55cc9c2b",
- "metadata": {
- "collapsed": false,
- "editable": true
- },
- "outputs": [],
- "source": [
- "\"\"\"\n",
- "============================\n",
- "Underfitting vs. Overfitting\n",
- "============================\n",
+ "## Another Example from Scikit-Learn's Repository\n",
"\n",
"This example demonstrates the problems of underfitting and overfitting and\n",
"how we can use linear regression with polynomial features to approximate\n",
@@ -2133,13 +2117,25 @@
"approximates the true function almost perfectly. However, for higher degrees\n",
"the model will **overfit** the training data, i.e. it learns the noise of the\n",
"training data.\n",
- "We evaluate quantitatively **overfitting** / **underfitting** by using\n",
+ "We evaluate quantitatively overfitting and underfitting by using\n",
"cross-validation. We calculate the mean squared error (MSE) on the validation\n",
"set, the higher, the less likely the model generalizes correctly from the\n",
- "training data.\n",
- "\"\"\"\n",
+ "training data."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "0b42fc93",
+ "metadata": {
+ "collapsed": false,
+ "editable": true
+ },
+ "outputs": [],
+ "source": [
"\n",
- "print(__doc__)\n",
+ "\n",
+ "#print(__doc__)\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
@@ -2192,7 +2188,7 @@
},
{
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@@ -2217,7 +2213,7 @@
},
{
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@@ -2245,7 +2241,7 @@
},
{
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@@ -2258,7 +2254,7 @@
{
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- "id": "5f27ae22",
+ "id": "64e72139",
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@@ -2358,7 +2354,7 @@
},
{
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@@ -2369,7 +2365,7 @@
{
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- "id": "279ce94a",
+ "id": "20a55cbd",
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@@ -2458,7 +2454,7 @@
},
{
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+ "id": "0b1ab15d",
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@@ -2468,7 +2464,7 @@
},
{
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- "id": "20ef6ef7",
+ "id": "d04d7a1a",
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@@ -2481,7 +2477,7 @@
{
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- "id": "6ab2b357",
+ "id": "bbd6bfa9",
"metadata": {
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"editable": true
@@ -2559,7 +2555,7 @@
},
{
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+ "id": "3d61d3cd",
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@@ -2569,7 +2565,7 @@
},
{
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- "id": "03d51c97",
+ "id": "33014e05",
"metadata": {
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@@ -2598,7 +2594,7 @@
},
{
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- "id": "2396407c",
+ "id": "af8973e3",
"metadata": {
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},
@@ -2614,7 +2610,7 @@
},
{
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+ "id": "95f08a4f",
"metadata": {
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@@ -2633,7 +2629,7 @@
},
{
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+ "id": "69a3772b",
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@@ -2647,7 +2643,7 @@
},
{
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+ "id": "6f44e2d9",
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@@ -2659,7 +2655,7 @@
},
{
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+ "id": "9f820ddc",
"metadata": {
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@@ -2670,7 +2666,7 @@
},
{
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- "id": "539cfdb4",
+ "id": "cab623c2",
"metadata": {
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@@ -2682,7 +2678,7 @@
},
{
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- "id": "39d0f44b",
+ "id": "47218f25",
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@@ -2694,7 +2690,7 @@
},
{
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- "id": "9e2c54ec",
+ "id": "9290dce4",
"metadata": {
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@@ -2710,7 +2706,7 @@
},
{
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+ "id": "65a7ab7d",
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@@ -2721,7 +2717,7 @@
},
{
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+ "id": "a35cbd7b",
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@@ -2744,7 +2740,7 @@
},
{
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+ "id": "0b5e006f",
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@@ -2755,7 +2751,7 @@
},
{
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- "id": "ebe8e4ed",
+ "id": "77270968",
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@@ -2767,7 +2763,7 @@
},
{
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- "id": "c1bbcb19",
+ "id": "49715a2d",
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@@ -2779,7 +2775,7 @@
},
{
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- "id": "f328e259",
+ "id": "fb6a34f4",
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@@ -2793,7 +2789,7 @@
},
{
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+ "id": "942e7e6a",
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@@ -2824,7 +2820,7 @@
},
{
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- "id": "b8e6055a",
+ "id": "f127bfb2",
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@@ -2846,7 +2842,7 @@
},
{
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+ "id": "2def67b5",
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@@ -2858,7 +2854,7 @@
},
{
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@@ -2871,7 +2867,7 @@
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{
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+ "id": "ab34b80c",
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@@ -2883,7 +2879,7 @@
},
{
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+ "id": "677844a3",
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@@ -2895,7 +2891,7 @@
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{
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@@ -2907,7 +2903,7 @@
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{
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- "id": "72d180ae",
+ "id": "688cfbfa",
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