From 0a03ba583c1c15d37590c6bc35260d977ead7312 Mon Sep 17 00:00:00 2001
From: Morten Hjorth-Jensen <morten.hjorth-jensen@fys.uio.no>
Date: Mon, 21 Oct 2024 13:17:43 +0200
Subject: [PATCH] update book

---
 .../_build/.doctrees/environment.pickle       | Bin 595314 -> 595619 bytes
 .../_build/.doctrees/week43.doctree           | Bin 605735 -> 599969 bytes
 .../_build/html/_sources/week43.ipynb         | 625 ++++++-------
 doc/LectureNotes/_build/html/searchindex.js   |   2 +-
 doc/LectureNotes/_build/html/week43.html      | 151 +--
 .../_build/jupyter_execute/week43.ipynb       | 867 +++++++-----------
 .../_build/jupyter_execute/week43.py          |   3 +-
 7 files changed, 644 insertions(+), 1004 deletions(-)

diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle
index 21be02a4c0202bc72f4b934f69f8e0a5f76041e3..342e2cd7c9bfc2adea36cb1914bfb907ab070641 100644
GIT binary patch
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diff --git a/doc/LectureNotes/_build/html/_sources/week43.ipynb b/doc/LectureNotes/_build/html/_sources/week43.ipynb
index 202263be5..3a2029a79 100644
--- a/doc/LectureNotes/_build/html/_sources/week43.ipynb
+++ b/doc/LectureNotes/_build/html/_sources/week43.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "677a195d",
+   "id": "6528e21e",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e943e8f0",
+   "id": "3ee1b36e",
    "metadata": {
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@@ -27,7 +27,7 @@
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-   "id": "22cdced0",
+   "id": "ce7aadd0",
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@@ -39,13 +39,14 @@
     "  * Building our own Feed-forward Neural Network with intro to Tensorflow\n",
     "\n",
     "  * Solving differential equations with Neural Networks\n",
-    "<!-- * [Video of lecture to be posted asap](https://youtu.be/) -->\n",
+    "\n",
+    "  * \"Video of lecture at <https://youtu.be/vkBNTn-MLqs>\n",
     "<!-- * [Whiteboard notes](https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2024/NotesOct21.pdf) -->"
    ]
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@@ -62,7 +63,7 @@
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@@ -78,7 +79,7 @@
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+   "id": "4dfacc15",
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@@ -89,7 +90,7 @@
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@@ -103,7 +104,7 @@
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+   "id": "b4b2da11",
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@@ -116,7 +117,7 @@
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@@ -133,7 +134,7 @@
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@@ -143,7 +144,7 @@
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@@ -170,7 +171,7 @@
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@@ -193,7 +194,7 @@
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@@ -205,7 +206,7 @@
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@@ -217,7 +218,7 @@
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@@ -227,7 +228,7 @@
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@@ -239,7 +240,7 @@
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@@ -253,7 +254,7 @@
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@@ -265,7 +266,7 @@
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@@ -277,7 +278,7 @@
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@@ -287,7 +288,7 @@
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@@ -299,7 +300,7 @@
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+   "id": "52e1a3cb",
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@@ -311,7 +312,7 @@
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@@ -321,7 +322,7 @@
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@@ -333,7 +334,7 @@
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@@ -345,7 +346,7 @@
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@@ -368,7 +369,7 @@
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@@ -380,7 +381,7 @@
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@@ -392,7 +393,7 @@
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@@ -402,7 +403,7 @@
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@@ -414,7 +415,7 @@
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@@ -435,7 +436,7 @@
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@@ -449,7 +450,7 @@
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@@ -461,7 +462,7 @@
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@@ -483,7 +484,7 @@
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+   "id": "9530f930",
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@@ -505,7 +506,7 @@
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@@ -533,7 +534,7 @@
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@@ -545,7 +546,7 @@
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+   "id": "685fb678",
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@@ -555,7 +556,7 @@
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   {
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-   "id": "e2a70a54",
+   "id": "dd107aee",
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@@ -567,7 +568,7 @@
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@@ -578,7 +579,7 @@
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+   "id": "fac94809",
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@@ -590,7 +591,7 @@
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   {
    "cell_type": "markdown",
-   "id": "d8e401c5",
+   "id": "419655c4",
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@@ -603,7 +604,7 @@
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   {
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-   "id": "17808105",
+   "id": "1ee71788",
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@@ -628,7 +629,7 @@
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@@ -641,7 +642,7 @@
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-   "id": "57f33029",
+   "id": "2fd06b7e",
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@@ -653,7 +654,7 @@
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@@ -665,7 +666,7 @@
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@@ -675,7 +676,7 @@
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@@ -687,7 +688,7 @@
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+   "id": "b9a06e11",
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@@ -699,7 +700,7 @@
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@@ -711,7 +712,7 @@
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@@ -723,7 +724,7 @@
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@@ -733,7 +734,7 @@
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@@ -745,7 +746,7 @@
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@@ -755,7 +756,7 @@
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@@ -767,7 +768,7 @@
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   {
    "cell_type": "markdown",
-   "id": "0cae75ec",
+   "id": "b1c42a22",
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@@ -780,7 +781,7 @@
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@@ -792,7 +793,7 @@
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@@ -802,7 +803,7 @@
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+   "id": "0cfc10a7",
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@@ -814,7 +815,7 @@
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@@ -825,7 +826,7 @@
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@@ -837,7 +838,7 @@
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@@ -847,7 +848,7 @@
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@@ -859,7 +860,7 @@
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@@ -869,7 +870,7 @@
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@@ -880,7 +881,7 @@
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@@ -893,7 +894,7 @@
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@@ -903,7 +904,7 @@
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@@ -915,7 +916,7 @@
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+   "id": "ce0fb4b1",
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@@ -925,7 +926,7 @@
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@@ -937,7 +938,7 @@
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@@ -947,7 +948,7 @@
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@@ -971,7 +972,7 @@
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@@ -1021,7 +1022,7 @@
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@@ -1076,7 +1077,7 @@
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@@ -1097,7 +1098,7 @@
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@@ -1135,7 +1136,7 @@
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@@ -1179,7 +1180,7 @@
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@@ -1219,7 +1220,7 @@
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@@ -1240,7 +1241,7 @@
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-   "id": "c3f75b32",
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@@ -1266,7 +1267,7 @@
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@@ -1294,7 +1295,7 @@
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@@ -1331,7 +1332,7 @@
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@@ -1377,7 +1378,7 @@
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@@ -1408,7 +1409,7 @@
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@@ -1446,7 +1447,7 @@
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@@ -1480,7 +1481,7 @@
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@@ -1521,7 +1522,7 @@
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@@ -1600,7 +1601,7 @@
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@@ -1621,7 +1622,7 @@
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@@ -1635,7 +1636,7 @@
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@@ -1745,7 +1746,7 @@
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@@ -1764,7 +1765,7 @@
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@@ -1791,7 +1792,7 @@
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@@ -1805,7 +1806,7 @@
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@@ -1836,7 +1837,7 @@
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@@ -1847,7 +1848,7 @@
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@@ -1891,7 +1892,7 @@
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@@ -1914,7 +1915,7 @@
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@@ -1941,7 +1942,7 @@
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@@ -1952,7 +1953,7 @@
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@@ -1997,7 +1998,7 @@
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@@ -2015,7 +2016,7 @@
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@@ -2050,7 +2051,7 @@
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@@ -2062,7 +2063,7 @@
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@@ -2074,7 +2075,7 @@
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@@ -2087,7 +2088,7 @@
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@@ -2098,7 +2099,7 @@
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@@ -2111,7 +2112,7 @@
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@@ -2126,7 +2127,7 @@
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@@ -2138,7 +2139,7 @@
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@@ -2150,7 +2151,7 @@
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@@ -2163,7 +2164,7 @@
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@@ -2218,7 +2219,7 @@
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@@ -2247,7 +2248,7 @@
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@@ -2277,7 +2278,7 @@
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@@ -2304,7 +2305,7 @@
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@@ -2346,7 +2347,7 @@
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@@ -2357,7 +2358,7 @@
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@@ -2534,7 +2535,7 @@
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@@ -2553,7 +2554,7 @@
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@@ -2575,7 +2576,7 @@
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-   "id": "d3619281",
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@@ -2716,7 +2717,7 @@
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@@ -2732,7 +2733,7 @@
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-   "id": "5db34b9b",
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@@ -2745,7 +2746,7 @@
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@@ -2757,7 +2758,7 @@
   {
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-   "id": "2d5f2887",
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@@ -2779,7 +2780,7 @@
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@@ -2795,7 +2796,7 @@
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-   "id": "c360c736",
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@@ -2833,7 +2834,7 @@
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@@ -2846,7 +2847,7 @@
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-   "id": "cd9cb3a5",
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@@ -2867,7 +2868,7 @@
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@@ -2883,7 +2884,7 @@
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@@ -2941,7 +2942,7 @@
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@@ -2956,7 +2957,7 @@
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-   "id": "34289210",
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@@ -2977,7 +2978,7 @@
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@@ -3001,7 +3002,7 @@
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@@ -3473,7 +3474,7 @@
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@@ -3485,7 +3486,7 @@
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-   "id": "f3f5d088",
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@@ -3529,7 +3530,7 @@
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@@ -3545,7 +3546,7 @@
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@@ -3560,7 +3561,7 @@
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@@ -3571,7 +3572,7 @@
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-   "id": "1e98a3f8",
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@@ -3586,7 +3587,7 @@
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@@ -3602,7 +3603,7 @@
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-   "id": "e735086e",
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@@ -3616,7 +3617,7 @@
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@@ -3631,7 +3632,7 @@
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-   "id": "c5937c59",
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@@ -3657,7 +3658,7 @@
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-   "id": "2e06b929",
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@@ -3672,7 +3673,7 @@
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@@ -3683,7 +3684,7 @@
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-   "id": "da82b266",
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@@ -3698,7 +3699,7 @@
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@@ -3709,7 +3710,7 @@
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-   "id": "4744accd",
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@@ -3729,7 +3730,7 @@
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-   "id": "f5b5b198",
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@@ -3744,7 +3745,7 @@
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@@ -3759,7 +3760,7 @@
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-   "id": "4308d82f",
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@@ -3796,7 +3797,7 @@
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@@ -3809,7 +3810,7 @@
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-   "id": "5aa9a2a4",
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@@ -3832,7 +3833,7 @@
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@@ -3842,7 +3843,7 @@
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+   "id": "7d24fb51",
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@@ -3869,7 +3870,7 @@
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@@ -3883,7 +3884,7 @@
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@@ -3900,7 +3901,7 @@
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@@ -3916,7 +3917,7 @@
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@@ -3928,7 +3929,7 @@
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@@ -3946,7 +3947,7 @@
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@@ -3967,7 +3968,7 @@
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@@ -3984,7 +3985,7 @@
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@@ -3996,7 +3997,7 @@
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@@ -4007,7 +4008,7 @@
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@@ -4024,7 +4025,7 @@
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@@ -4035,7 +4036,7 @@
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@@ -4051,7 +4052,7 @@
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@@ -4063,7 +4064,7 @@
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@@ -4080,7 +4081,7 @@
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@@ -4092,7 +4093,7 @@
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@@ -4110,7 +4111,7 @@
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@@ -4120,7 +4121,7 @@
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@@ -4132,7 +4133,7 @@
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@@ -4149,7 +4150,7 @@
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@@ -4161,7 +4162,7 @@
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@@ -4172,7 +4173,7 @@
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@@ -4184,7 +4185,7 @@
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@@ -4194,7 +4195,7 @@
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@@ -4214,7 +4215,7 @@
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@@ -4231,7 +4232,7 @@
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@@ -4250,7 +4251,7 @@
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@@ -4262,7 +4263,7 @@
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@@ -4272,7 +4273,7 @@
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@@ -4289,7 +4290,7 @@
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@@ -4299,7 +4300,7 @@
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@@ -4315,7 +4316,7 @@
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@@ -4327,7 +4328,7 @@
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@@ -4339,7 +4340,7 @@
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@@ -4351,7 +4352,7 @@
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@@ -4361,7 +4362,7 @@
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@@ -4373,7 +4374,7 @@
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@@ -4390,7 +4391,7 @@
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@@ -4400,7 +4401,7 @@
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@@ -4412,7 +4413,7 @@
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@@ -4426,7 +4427,7 @@
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@@ -4442,7 +4443,7 @@
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@@ -4454,7 +4455,7 @@
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@@ -4476,7 +4477,7 @@
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@@ -4488,7 +4489,7 @@
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@@ -4511,7 +4512,7 @@
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@@ -4527,7 +4528,7 @@
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@@ -4539,7 +4540,7 @@
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@@ -4563,7 +4564,7 @@
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@@ -4575,7 +4576,7 @@
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@@ -4596,7 +4597,7 @@
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@@ -4608,7 +4609,7 @@
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@@ -4627,7 +4628,7 @@
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@@ -4637,7 +4638,7 @@
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@@ -4651,7 +4652,7 @@
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@@ -4663,7 +4664,7 @@
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@@ -4675,7 +4676,7 @@
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@@ -4692,7 +4693,7 @@
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@@ -4704,7 +4705,7 @@
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@@ -4726,7 +4727,7 @@
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@@ -4741,7 +4742,7 @@
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@@ -4752,7 +4753,7 @@
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@@ -4907,7 +4908,7 @@
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@@ -4922,7 +4923,7 @@
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@@ -5091,7 +5092,7 @@
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@@ -5104,7 +5105,7 @@
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@@ -5121,7 +5122,7 @@
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@@ -5137,7 +5138,7 @@
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@@ -5150,7 +5151,7 @@
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@@ -5167,7 +5168,7 @@
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@@ -5179,7 +5180,7 @@
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@@ -5206,7 +5207,7 @@
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@@ -5219,7 +5220,7 @@
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@@ -5398,7 +5399,7 @@
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@@ -5418,7 +5419,7 @@
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@@ -5433,7 +5434,7 @@
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@@ -5447,7 +5448,7 @@
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@@ -5463,7 +5464,7 @@
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@@ -5473,7 +5474,7 @@
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@@ -5495,7 +5496,7 @@
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@@ -5509,7 +5510,7 @@
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@@ -5585,7 +5586,7 @@
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@@ -5597,7 +5598,7 @@
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@@ -5614,7 +5615,7 @@
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@@ -5626,7 +5627,7 @@
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@@ -5641,7 +5642,7 @@
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@@ -5653,7 +5654,7 @@
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@@ -5665,7 +5666,7 @@
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@@ -5677,7 +5678,7 @@
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@@ -5687,7 +5688,7 @@
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@@ -5704,7 +5705,7 @@
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@@ -5716,7 +5717,7 @@
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@@ -5728,7 +5729,7 @@
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@@ -5738,7 +5739,7 @@
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@@ -5750,7 +5751,7 @@
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@@ -5761,7 +5762,7 @@
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@@ -5926,7 +5927,7 @@
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@@ -5948,7 +5949,7 @@
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@@ -5965,7 +5966,7 @@
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@@ -5975,7 +5976,7 @@
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@@ -5990,7 +5991,7 @@
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@@ -6000,7 +6001,7 @@
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@@ -6015,7 +6016,7 @@
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@@ -6026,7 +6027,7 @@
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@@ -6046,7 +6047,7 @@
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@@ -6058,7 +6059,7 @@
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@@ -6095,7 +6096,7 @@
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@@ -6105,7 +6106,7 @@
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@@ -6118,7 +6119,7 @@
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@@ -6323,7 +6324,7 @@
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@@ -6340,7 +6341,7 @@
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@@ -6357,7 +6358,7 @@
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@@ -6367,7 +6368,7 @@
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@@ -6382,7 +6383,7 @@
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@@ -6396,7 +6397,7 @@
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@@ -6409,7 +6410,7 @@
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@@ -6429,7 +6430,7 @@
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@@ -6441,7 +6442,7 @@
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@@ -6453,7 +6454,7 @@
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@@ -6465,7 +6466,7 @@
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@@ -6475,7 +6476,7 @@
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@@ -6487,7 +6488,7 @@
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@@ -6499,7 +6500,7 @@
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@@ -6511,7 +6512,7 @@
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@@ -6521,7 +6522,7 @@
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@@ -6537,7 +6538,7 @@
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@@ -6547,7 +6548,7 @@
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@@ -6559,7 +6560,7 @@
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@@ -6576,7 +6577,7 @@
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@@ -6586,7 +6587,7 @@
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@@ -6602,7 +6603,7 @@
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@@ -6616,7 +6617,7 @@
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@@ -6635,7 +6636,7 @@
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@@ -6690,7 +6691,7 @@
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@@ -6720,7 +6721,7 @@
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@@ -6749,7 +6750,7 @@
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@@ -6796,7 +6797,7 @@
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@@ -6822,7 +6823,7 @@
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@@ -7056,7 +7057,7 @@
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@@ -7068,7 +7069,7 @@
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@@ -7080,7 +7081,7 @@
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@@ -7092,7 +7093,7 @@
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@@ -7109,7 +7110,7 @@
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@@ -7119,7 +7120,7 @@
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Week 42: Logistic Regression and Optimization, reminders from week 38 and week 40","<span class=\"section-number\">3. </span>Linear Regression","<span class=\"section-number\">14. </span>Building a Feed Forward Neural Network","<span class=\"section-number\">15. </span>Solving Differential Equations  with Deep Learning","<span class=\"section-number\">16. </span>Convolutional Neural Networks","<span class=\"section-number\">17. </span>Recurrent neural networks: Overarching view","<span class=\"section-number\">4. </span>Ridge and Lasso Regression","<span class=\"section-number\">5. </span>Resampling Methods","<span class=\"section-number\">6. </span>Logistic Regression","<span class=\"section-number\">8. </span>Support Vector Machines, overarching aims","<span class=\"section-number\">9. </span>Decision trees, overarching aims","<span class=\"section-number\">10. </span>Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","<span class=\"section-number\">11. </span>Basic ideas of the Principal Component Analysis (PCA)","<span class=\"section-number\">13. </span>Neural networks","<span class=\"section-number\">7. </span>Optimization, the central part of any Machine Learning algortithm","<span class=\"section-number\">12. </span>Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Exercises week 37","Exercises week 38","Exercises week 39","Exercises week 41","Exercises week 42","Applied Data Analysis and Machine Learning","<span class=\"section-number\">2. </span>Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Project 2 on Machine Learning, deadline November 4 (Midnight)","Teaching schedule with links to material","<span class=\"section-number\">1. </span>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 Methods","Week 38: Logistic Regression and Optimization","Week 39: Optimization and  Gradient Methods","Week 40: Gradient descent methods (continued) and start Neural networks","Week 41 Neural networks and constructing a neural network code","Week 42 Constructing a Neural Network code with examples","Week 43: Deep Learning: Constructing a Neural Network code and solving differential equations"],titleterms:{"0":40,"1":[1,16,17,18,19,23,26,32,33,39,40,41],"11":39,"14":40,"16":36,"2":[1,16,17,18,19,23,27,32,33,34,39,40,41],"2023":30,"2024":[26,37,38,39,40],"21":41,"23":37,"26":33,"27":37,"3":[1,16,17,23,32,33,39,40,41],"30":38,"34":[16,32],"35":[17,33],"36":[18,34],"37":[19,35],"38":[0,20,36],"39":[21,22,37],"4":[1,23,27,33,40],"40":[0,22,38],"41":[22,39],"42":[0,23,40],"43":41,"5":[1,23],"6":23,"7":[23,26,39],"9":35,"case":[9,11,29,33,34,36,37],"class":[0,36,39],"do":[2,34,35,37,38,39,40,41],"final":[13,22,27,33,34,37,38,39,40,41],"float":39,"function":[0,1,2,7,8,9,11,12,13,14,22,26,27,29,32,33,34,35,36,37,38,39,40,41],"import":[6,22,25,32,33,34,38,39,40],"new":[5,34,35,39],A:[0,1,2,5,9,10,22,32,34,35,36,38,39,40,41],AND:[38,39],And:[22,32,33,34,36,37,38],But:[22,37,38],For:33,In:[30,39],Is:[39,40],Ising:7,OR:[38,39],The:[0,1,2,3,4,6,7,8,9,10,12,13,18,24,32,33,34,35,36,37,38,39,40,41],To:[32,33],With:[5,34],about:[32,33],abov:[34,39,40,41],activ:[2,13,23,27,34,38,39,40,41],ad:[1,7,18,26,32,33,38,39,40],adaboost:11,adagrad:[14,22,37,38],adam:[14,22,37,38],adapt:[11,22,37,38],adjust:[2,40,41],advanc:[22,38],adversari:5,again:[0,4,10,36],ai:[26,32],aim:[9,10,18,19,20,21,22,23,32],aka:[32,33],al:[22,38],algebra:[25,32],algorithm:[10,11,12,13,22,27,33,37,38,39,40,41],algortithm:[14,36,37],all:[9,39,40],an:[1,5,11,32,39],analys:[6,33],analysi:[1,6,7,12,24,26,27,29,32,33,34,35,39],analyt:[1,17,18,22,41],analyz:[39,40],ani:[14,36,37],anoth:[10,34,35],appli:24,approach:[1,9,15,32,35,37,38],approxim:[13,39],architectur:[2,40,41],argument:[37,38],arrai:[25,32],artifici:[38,39],assist:30,assumpt:[34,35],august:33,autocorrel:29,autograd:[3,14,22,37,38,41],automat:[14,22,37,38,39,41],avoid:[],b:[18,26,27,37],back:[2,12,13,39,40,41],background:[24,26,27,35],bag:11,base:[14,22,35,37,38],basic:[1,6,8,10,11,12,25,33,34,35,36,39],batch:[2,37,38,39,40],bay:[6,34,35],befor:12,bengio:[39,40],beta:[34,35],better:[9,38,39],bia:[7,26,35],bias:[39,40,41],binari:[2,40,41],bind:32,bird:11,boldsymbol:[33,34,35],book:[39,40,41],boost:11,bootstrap:[7,11,35],boston:1,breast:[2,40,41],brief:[32,35,36,37],bring:[13,39,40],build:[2,4,10,40,41],c:[26,27,32],calcul:33,can:[22,32,35,37,38,39],cancer:[0,2,8,10,12,36,40,41],cart:10,center:33,central:[14,24,29,35,36,37],chain:[13,39,40],challeng:36,chang:11,channel:32,chi:[1,32],choic:[39,40],choos:[2,40,41],cifar01:4,classic:12,classif:[0,2,10,11,27,36,40,41],classifi:[9,36],clip:[2,39,40],cluster:15,cnn:4,code:[1,2,3,6,10,12,13,14,15,22,27,32,33,34,35,36,37,38,39,40,41],collect:[2,4,40,41],come:36,commun:32,compact:[0,36,39,40],compar:[3,11,41],comparison:34,compet:[22,37,38],complet:[33,39,40],complex:[1,7,26,33],complic:[7,37,38,39],compon:12,comput:[10,37,38],computation:35,computerlab:32,con:10,concept:29,condit:[34,35,36,37],confid:35,conjug:[14,37],consider:[39,40],construct:[39,40,41],continu:38,contn:32,convex:[9,14,36,37],convolut:[4,13,38,39],correctli:[34,35],correl:[0,12,33,36],correspond:[36,37],cost:[0,2,11,33,34,35,36,37,39,40,41],count:39,cours:[24,31,32],covari:[6,12,29,33],cover:32,critic:27,cross:[0,7,26,35,36],custom:23,cython:32,d:[26,27],data:[0,1,2,4,7,8,10,12,16,17,23,24,26,29,32,33,34,36,39,40,41],dataset:[2,4,40,41],deadlin:[26,27,32],decai:[3,37,38,41],decis:[10,11],decomposit:[6,12,18,25,33],deep:[2,3,32,36,39,40,41],defin:[2,32,39,40,41],definit:[39,40],degre:[1,33],deliveri:[26,27],delta:35,dens:[1,32],deriv:[6,13,33,34,35,36,37,39,40],descent:[0,3,11,14,22,27,36,37,38,41],descript:26,design:33,detail:[4,32,41],develop:[2,40,41],diagon:12,differ:[9,27,37,38],different:22,differenti:[3,14,37,38,39,41],diffus:[3,41],dimension:[3,4,9,26,33,41],directli:[37,38],disadvantag:10,discret:29,discuss:[0,36],distribut:[6,29,34,35],distrubut:35,doe:[33,34,38,39],domain:29,dot:37,down:[2,39,40],dropout:[2,39,40],e:[26,27],each:[23,36],economi:33,electron:[26,27],element:[1,29,32,37,38],elimin:25,elu:[39,40,41],energi:32,ensembl:11,entri:[39,40],entropi:[0,10,36],environ:[1,16,32],equat:[1,3,13,32,33,34,36,37,39,40,41],error:[1,11,32,33,35],essenti:32,estim:[34,35],et:[22,38],etc:32,euler:[3,41],evalu:[2,27,39,40,41],exampl:[0,1,2,3,4,5,7,8,9,10,11,22,32,33,34,35,36,37,38,39,40,41],exercis:[0,1,7,16,17,18,19,20,21,22,23,32,33,39,41],expect:[19,29,34,35],expens:35,experi:29,explicit:[39,40],explod:[39,40],explor:[1,16,17,32],exponenti:[3,41],express:[0,18,19,33,36,37,39,40],extend:[0,36,37,39],extrapol:5,extrem:[11,32],ey:11,f:[26,27],fall:30,famili:[2,32,33,39,40,41],famou:25,fantast:33,featur:[10,25,33],feed:[2,13,38,39,40,41],find:[35,37],fine:[2,39,40],first:[5,13,27,32,33,34,36,37,39,40,41],fit:[1,11,32,34],fix:33,fold:[35,36],forc:4,forest:11,format:[26,27,32],forward:[2,3,13,38,39,40,41],fourier:4,frank:[7,26,33],freedom:[1,33],frequent:33,frequentist:[1,32],fridai:[],from:[0,6,11,13,22,27,33,34,35,36,37,38,39,40],full:[3,40,41],funtion:[39,40],further:[4,6,33],g:26,gan:5,gate:[38,39,40,41],gaussian:25,gd:[14,22,37,38],gener:[5,10,32,39],geometr:[12,36,3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Week 42: Logistic Regression and Optimization, reminders from week 38 and week 40","<span class=\"section-number\">3. </span>Linear Regression","<span class=\"section-number\">14. </span>Building a Feed Forward Neural Network","<span class=\"section-number\">15. </span>Solving Differential Equations  with Deep Learning","<span class=\"section-number\">16. </span>Convolutional Neural Networks","<span class=\"section-number\">17. </span>Recurrent neural networks: Overarching view","<span class=\"section-number\">4. </span>Ridge and Lasso Regression","<span class=\"section-number\">5. </span>Resampling Methods","<span class=\"section-number\">6. </span>Logistic Regression","<span class=\"section-number\">8. </span>Support Vector Machines, overarching aims","<span class=\"section-number\">9. </span>Decision trees, overarching aims","<span class=\"section-number\">10. </span>Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","<span class=\"section-number\">11. </span>Basic ideas of the Principal Component Analysis (PCA)","<span class=\"section-number\">13. </span>Neural networks","<span class=\"section-number\">7. </span>Optimization, the central part of any Machine Learning algortithm","<span class=\"section-number\">12. </span>Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Exercises week 37","Exercises week 38","Exercises week 39","Exercises week 41","Exercises week 42","Applied Data Analysis and Machine Learning","<span class=\"section-number\">2. </span>Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Project 2 on Machine Learning, deadline November 4 (Midnight)","Teaching schedule with links to material","<span class=\"section-number\">1. </span>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 Methods","Week 38: Logistic Regression and Optimization","Week 39: Optimization and  Gradient Methods","Week 40: Gradient descent methods (continued) and start Neural networks","Week 41 Neural networks and constructing a neural network code","Week 42 Constructing a Neural Network code with examples","Week 43: Deep Learning: Constructing a Neural Network code and solving differential 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\ No newline at end of file
diff --git a/doc/LectureNotes/_build/html/week43.html b/doc/LectureNotes/_build/html/week43.html
index acc647cab..595f33025 100644
--- a/doc/LectureNotes/_build/html/week43.html
+++ b/doc/LectureNotes/_build/html/week43.html
@@ -1510,8 +1510,8 @@ doconce format html week43.do.txt --no_mako -->
 <ul class="simple">
 <li><p>Building our own Feed-forward Neural Network with intro to Tensorflow</p></li>
 <li><p>Solving differential equations with Neural Networks</p></li>
+<li><p>“Video of lecture at <a class="reference external" href="https://youtu.be/vkBNTn-MLqs">https://youtu.be/vkBNTn-MLqs</a></p></li>
 </ul>
-<!-- * [Video of lecture to be posted asap](https://youtu.be/) -->
 <!-- * [Whiteboard notes](https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2024/NotesOct21.pdf) --></div>
 <div class="section" id="exercises-and-lab-session-week-43">
 <h2>Exercises and lab session week 43<a class="headerlink" href="#exercises-and-lab-session-week-43" title="Permalink to this headline">¶</a></h2>
@@ -2346,7 +2346,7 @@ the <em>Hadamard product</em>, meaning element-wise multiplication.</p>
 <div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Old accuracy on training data: 0.1440501043841336
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_93488/953065564.py:4: RuntimeWarning: overflow encountered in exp
   return 1/(1 + np.exp(-x))
 </pre></div>
 </div>
@@ -2677,134 +2677,6 @@ Lambda =  1.0
 Accuracy score on test set:  0.7694444444444445
 </pre></div>
 </div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  0.01
-Lambda =  10.0
-Accuracy score on test set:  0.19166666666666668
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  0.1
-Lambda =  1e-05
-Accuracy score on test set:  0.10555555555555556
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  0.1
-Lambda =  0.0001
-Accuracy score on test set:  0.08611111111111111
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  0.1
-Lambda =  0.001
-Accuracy score on test set:  0.10555555555555556
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  0.1
-Lambda =  0.01
-Accuracy score on test set:  0.08888888888888889
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  0.1
-Lambda =  0.1
-Accuracy score on test set:  0.08611111111111111
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  0.1
-Lambda =  1.0
-Accuracy score on test set:  0.08888888888888889
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  0.1
-Lambda =  10.0
-Accuracy score on test set:  0.09166666666666666
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:43: RuntimeWarning: overflow encountered in exp
-  exp_term = np.exp(self.z_o)
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:44: RuntimeWarning: invalid value encountered in divide
-  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  1.0
-Lambda =  1e-05
-Accuracy score on test set:  0.07777777777777778
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:43: RuntimeWarning: overflow encountered in exp
-  exp_term = np.exp(self.z_o)
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:44: RuntimeWarning: invalid value encountered in divide
-  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  1.0
-Lambda =  0.0001
-Accuracy score on test set:  0.07777777777777778
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:43: RuntimeWarning: overflow encountered in exp
-  exp_term = np.exp(self.z_o)
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:44: RuntimeWarning: invalid value encountered in divide
-  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  1.0
-Lambda =  0.001
-Accuracy score on test set:  0.07777777777777778
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:43: RuntimeWarning: overflow encountered in exp
-  exp_term = np.exp(self.z_o)
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:44: RuntimeWarning: invalid value encountered in divide
-  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate  =  1.0
-Lambda =  0.01
-Accuracy score on test set:  0.07777777777777778
-</pre></div>
-</div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp
-  return 1/(1 + np.exp(-x))
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:43: RuntimeWarning: overflow encountered in exp
-  exp_term = np.exp(self.z_o)
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:44: RuntimeWarning: invalid value encountered in divide
-  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
-</pre></div>
-</div>
 <div class="output traceback highlight-ipythontb notranslate"><div class="highlight"><pre><span></span><span class="gt">---------------------------------------------------------------------------</span>
 <span class="ne">KeyboardInterrupt</span><span class="g g-Whitespace">                         </span>Traceback (most recent call last)
 <span class="n">Cell</span> <span class="n">In</span><span class="p">[</span><span class="mi">8</span><span class="p">],</span> <span class="n">line</span> <span class="mi">11</span>
@@ -2815,17 +2687,18 @@ Accuracy score on test set:  0.07777777777777778
 <span class="g g-Whitespace">     </span><span class="mi">13</span>     <span class="n">DNN_numpy</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="n">dnn</span>
 <span class="g g-Whitespace">     </span><span class="mi">15</span>     <span class="n">test_predict</span> <span class="o">=</span> <span class="n">dnn</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">X_test</span><span class="p">)</span>
 
-<span class="nn">Cell In[6], line 99,</span> in <span class="ni">NeuralNetwork.train</span><span class="nt">(self)</span>
+<span class="nn">Cell In[6], line 98,</span> in <span class="ni">NeuralNetwork.train</span><span class="nt">(self)</span>
+<span class="g g-Whitespace">     </span><span class="mi">95</span> <span class="bp">self</span><span class="o">.</span><span class="n">X_data</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">X_data_full</span><span class="p">[</span><span class="n">chosen_datapoints</span><span class="p">]</span>
 <span class="g g-Whitespace">     </span><span class="mi">96</span> <span class="bp">self</span><span class="o">.</span><span class="n">Y_data</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">Y_data_full</span><span class="p">[</span><span class="n">chosen_datapoints</span><span class="p">]</span>
-<span class="g g-Whitespace">     </span><span class="mi">98</span> <span class="bp">self</span><span class="o">.</span><span class="n">feed_forward</span><span class="p">()</span>
-<span class="ne">---&gt; </span><span class="mi">99</span> <span class="bp">self</span><span class="o">.</span><span class="n">backpropagation</span><span class="p">()</span>
+<span class="ne">---&gt; </span><span class="mi">98</span> <span class="bp">self</span><span class="o">.</span><span class="n">feed_forward</span><span class="p">()</span>
+<span class="g g-Whitespace">     </span><span class="mi">99</span> <span class="bp">self</span><span class="o">.</span><span class="n">backpropagation</span><span class="p">()</span>
 
-<span class="nn">Cell In[6], line 64,</span> in <span class="ni">NeuralNetwork.backpropagation</span><span class="nt">(self)</span>
-<span class="g g-Whitespace">     </span><span class="mi">61</span> <span class="bp">self</span><span class="o">.</span><span class="n">output_weights_gradient</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matmul</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">a_h</span><span class="o">.</span><span class="n">T</span><span class="p">,</span> <span class="n">error_output</span><span class="p">)</span>
-<span class="g g-Whitespace">     </span><span class="mi">62</span> <span class="bp">self</span><span class="o">.</span><span class="n">output_bias_gradient</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">error_output</span><span class="p">,</span> <span class="n">axis</span><span class="o">=</span><span class="mi">0</span><span class="p">)</span>
-<span class="ne">---&gt; </span><span class="mi">64</span> <span class="bp">self</span><span class="o">.</span><span class="n">hidden_weights_gradient</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matmul</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">X_data</span><span class="o">.</span><span class="n">T</span><span class="p">,</span> <span class="n">error_hidden</span><span class="p">)</span>
-<span class="g g-Whitespace">     </span><span class="mi">65</span> <span class="bp">self</span><span class="o">.</span><span class="n">hidden_bias_gradient</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">error_hidden</span><span class="p">,</span> <span class="n">axis</span><span class="o">=</span><span class="mi">0</span><span class="p">)</span>
-<span class="g g-Whitespace">     </span><span class="mi">67</span> <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">lmbd</span> <span class="o">&gt;</span> <span class="mf">0.0</span><span class="p">:</span>
+<span class="nn">Cell In[6], line 38,</span> in <span class="ni">NeuralNetwork.feed_forward</span><span class="nt">(self)</span>
+<span class="g g-Whitespace">     </span><span class="mi">36</span> <span class="k">def</span> <span class="nf">feed_forward</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
+<span class="g g-Whitespace">     </span><span class="mi">37</span>     <span class="c1"># feed-forward for training</span>
+<span class="ne">---&gt; </span><span class="mi">38</span>     <span class="bp">self</span><span class="o">.</span><span class="n">z_h</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matmul</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">X_data</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">hidden_weights</span><span class="p">)</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">hidden_bias</span>
+<span class="g g-Whitespace">     </span><span class="mi">39</span>     <span class="bp">self</span><span class="o">.</span><span class="n">a_h</span> <span class="o">=</span> <span class="n">sigmoid</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">z_h</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">41</span>     <span class="bp">self</span><span class="o">.</span><span class="n">z_o</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matmul</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">a_h</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">output_weights</span><span class="p">)</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">output_bias</span>
 
 <span class="ne">KeyboardInterrupt</span>: 
 </pre></div>
diff --git a/doc/LectureNotes/_build/jupyter_execute/week43.ipynb b/doc/LectureNotes/_build/jupyter_execute/week43.ipynb
index 0824e4c7e..eee9c5acf 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week43.ipynb
+++ b/doc/LectureNotes/_build/jupyter_execute/week43.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "677a195d",
+   "id": "6528e21e",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e943e8f0",
+   "id": "3ee1b36e",
    "metadata": {
     "editable": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "22cdced0",
+   "id": "ce7aadd0",
    "metadata": {
     "editable": true
    },
@@ -39,13 +39,14 @@
     "  * Building our own Feed-forward Neural Network with intro to Tensorflow\n",
     "\n",
     "  * Solving differential equations with Neural Networks\n",
-    "<!-- * [Video of lecture to be posted asap](https://youtu.be/) -->\n",
+    "\n",
+    "  * \"Video of lecture at <https://youtu.be/vkBNTn-MLqs>\n",
     "<!-- * [Whiteboard notes](https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2024/NotesOct21.pdf) -->"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a57ef6df",
+   "id": "3b148f15",
    "metadata": {
     "editable": true
    },
@@ -62,7 +63,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c4a134ee",
+   "id": "de5149e1",
    "metadata": {
     "editable": true
    },
@@ -78,7 +79,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dd73045e",
+   "id": "4dfacc15",
    "metadata": {
     "editable": true
    },
@@ -89,7 +90,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "372f4aa4",
+   "id": "07178d65",
    "metadata": {
     "editable": true
    },
@@ -103,7 +104,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "05efbc6f",
+   "id": "b4b2da11",
    "metadata": {
     "editable": true
    },
@@ -116,7 +117,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d04b0948",
+   "id": "c264977f",
    "metadata": {
     "editable": true
    },
@@ -133,7 +134,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b9d41f5c",
+   "id": "9e588fe4",
    "metadata": {
     "editable": true
    },
@@ -143,7 +144,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "68606991",
+   "id": "fd47ec8c",
    "metadata": {
     "editable": true
    },
@@ -170,7 +171,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a564a394",
+   "id": "97fdb112",
    "metadata": {
     "editable": true
    },
@@ -193,7 +194,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "43ab4381",
+   "id": "98139ea4",
    "metadata": {
     "editable": true
    },
@@ -205,7 +206,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f578cee4",
+   "id": "6eab3a16",
    "metadata": {
     "editable": true
    },
@@ -217,7 +218,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbc05943",
+   "id": "3bd14855",
    "metadata": {
     "editable": true
    },
@@ -227,7 +228,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6ad3c28f",
+   "id": "e1ec5ba9",
    "metadata": {
     "editable": true
    },
@@ -239,7 +240,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "135513b5",
+   "id": "4a2edd2d",
    "metadata": {
     "editable": true
    },
@@ -253,7 +254,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f643ecdf",
+   "id": "8e4eb5d7",
    "metadata": {
     "editable": true
    },
@@ -265,7 +266,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "077ef1c2",
+   "id": "1757a0c5",
    "metadata": {
     "editable": true
    },
@@ -277,7 +278,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50cf7472",
+   "id": "5c1d75f4",
    "metadata": {
     "editable": true
    },
@@ -287,7 +288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a10f406c",
+   "id": "ddb26b01",
    "metadata": {
     "editable": true
    },
@@ -299,7 +300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "626cba8f",
+   "id": "52e1a3cb",
    "metadata": {
     "editable": true
    },
@@ -311,7 +312,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ebe05ad",
+   "id": "db17b588",
    "metadata": {
     "editable": true
    },
@@ -321,7 +322,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bfbbac35",
+   "id": "7ddf4cdf",
    "metadata": {
     "editable": true
    },
@@ -333,7 +334,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac515399",
+   "id": "9a8d5afc",
    "metadata": {
     "editable": true
    },
@@ -345,7 +346,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4703cc51",
+   "id": "5c03ac8f",
    "metadata": {
     "editable": true
    },
@@ -368,7 +369,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cab6ad03",
+   "id": "49f26f27",
    "metadata": {
     "editable": true
    },
@@ -380,7 +381,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad6042eb",
+   "id": "de917b48",
    "metadata": {
     "editable": true
    },
@@ -392,7 +393,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e96b7e7",
+   "id": "5222dbb0",
    "metadata": {
     "editable": true
    },
@@ -402,7 +403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c600792f",
+   "id": "aab49321",
    "metadata": {
     "editable": true
    },
@@ -414,7 +415,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "76d1da8e",
+   "id": "50d3fbbc",
    "metadata": {
     "editable": true
    },
@@ -435,7 +436,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e7e0e0c",
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    "metadata": {
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@@ -449,7 +450,7 @@
   },
   {
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    "metadata": {
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@@ -461,7 +462,7 @@
   },
   {
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@@ -483,7 +484,7 @@
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   {
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    "metadata": {
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@@ -505,7 +506,7 @@
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   {
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@@ -533,7 +534,7 @@
   },
   {
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-   "id": "90d9f195",
+   "id": "f2f3871c",
    "metadata": {
     "editable": true
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@@ -545,7 +546,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "73d2763e",
+   "id": "685fb678",
    "metadata": {
     "editable": true
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@@ -555,7 +556,7 @@
   },
   {
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-   "id": "e2a70a54",
+   "id": "dd107aee",
    "metadata": {
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@@ -567,7 +568,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ed6c0dc",
+   "id": "dfcc5135",
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@@ -578,7 +579,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a42826b9",
+   "id": "fac94809",
    "metadata": {
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@@ -590,7 +591,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d8e401c5",
+   "id": "419655c4",
    "metadata": {
     "editable": true
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@@ -603,7 +604,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17808105",
+   "id": "1ee71788",
    "metadata": {
     "editable": true
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@@ -628,7 +629,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a9b90ce",
+   "id": "e03a5a0b",
    "metadata": {
     "editable": true
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@@ -641,7 +642,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57f33029",
+   "id": "2fd06b7e",
    "metadata": {
     "editable": true
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@@ -653,7 +654,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "422eb23f",
+   "id": "2ac0d4f6",
    "metadata": {
     "editable": true
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@@ -665,7 +666,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0eb634c3",
+   "id": "7d6f8f75",
    "metadata": {
     "editable": true
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@@ -675,7 +676,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b3b208fc",
+   "id": "4f3981af",
    "metadata": {
     "editable": true
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@@ -687,7 +688,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3788aba1",
+   "id": "b9a06e11",
    "metadata": {
     "editable": true
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@@ -699,7 +700,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4d38ceec",
+   "id": "1496aa66",
    "metadata": {
     "editable": true
    },
@@ -711,7 +712,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cee503b9",
+   "id": "44fd57c8",
    "metadata": {
     "editable": true
    },
@@ -723,7 +724,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "19b29e02",
+   "id": "11a6e89d",
    "metadata": {
     "editable": true
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@@ -733,7 +734,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "19507159",
+   "id": "35f31213",
    "metadata": {
     "editable": true
    },
@@ -745,7 +746,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a15191e4",
+   "id": "ad19c6f2",
    "metadata": {
     "editable": true
    },
@@ -755,7 +756,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9df7a22",
+   "id": "fc1cc4ca",
    "metadata": {
     "editable": true
    },
@@ -767,7 +768,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0cae75ec",
+   "id": "b1c42a22",
    "metadata": {
     "editable": true
    },
@@ -780,7 +781,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "36b0506b",
+   "id": "7c87a4cd",
    "metadata": {
     "editable": true
    },
@@ -792,7 +793,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c729c48",
+   "id": "ec7fd1f9",
    "metadata": {
     "editable": true
    },
@@ -802,7 +803,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "060813af",
+   "id": "0cfc10a7",
    "metadata": {
     "editable": true
    },
@@ -814,7 +815,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f2a5059b",
+   "id": "2d0e5b14",
    "metadata": {
     "editable": true
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@@ -825,7 +826,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6763074d",
+   "id": "7669c765",
    "metadata": {
     "editable": true
    },
@@ -837,7 +838,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f498b6b5",
+   "id": "3bbef228",
    "metadata": {
     "editable": true
    },
@@ -847,7 +848,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fedce928",
+   "id": "cf1e2ee2",
    "metadata": {
     "editable": true
    },
@@ -859,7 +860,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "429c11ae",
+   "id": "0ba0a6a4",
    "metadata": {
     "editable": true
    },
@@ -869,7 +870,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ddde8370",
+   "id": "e5dc0e2e",
    "metadata": {
     "editable": true
    },
@@ -880,7 +881,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "637bd194",
+   "id": "a92ffe46",
    "metadata": {
     "editable": true
    },
@@ -893,7 +894,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0792109c",
+   "id": "32e2777e",
    "metadata": {
     "editable": true
    },
@@ -903,7 +904,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10f14691",
+   "id": "136aa72b",
    "metadata": {
     "editable": true
    },
@@ -915,7 +916,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "186529b5",
+   "id": "ce0fb4b1",
    "metadata": {
     "editable": true
    },
@@ -925,7 +926,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "68afc0da",
+   "id": "aa242196",
    "metadata": {
     "editable": true
    },
@@ -937,7 +938,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf48ea60",
+   "id": "655fa566",
    "metadata": {
     "editable": true
    },
@@ -947,7 +948,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "861a3bbe",
+   "id": "e3e368cd",
    "metadata": {
     "editable": true
    },
@@ -971,7 +972,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c8007ce7",
+   "id": "b4739d6a",
    "metadata": {
     "editable": true
    },
@@ -1021,7 +1022,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "29678f97",
+   "id": "bb8dc476",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1100,7 +1101,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ba6d7d6",
+   "id": "848728d9",
    "metadata": {
     "editable": true
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@@ -1121,7 +1122,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "7df51dd1",
+   "id": "84b61a0e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1168,7 +1169,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "249898fd",
+   "id": "9e7816f1",
    "metadata": {
     "editable": true
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@@ -1212,7 +1213,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d30ddd3",
+   "id": "8298469d",
    "metadata": {
     "editable": true
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@@ -1252,7 +1253,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ce9f14e4",
+   "id": "8d56cebc",
    "metadata": {
     "editable": true
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@@ -1273,7 +1274,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "c3f75b32",
+   "id": "bf84cbc3",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1299,7 +1300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ebf4f68",
+   "id": "fdb7502c",
    "metadata": {
     "editable": true
    },
@@ -1327,7 +1328,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c6760d1f",
+   "id": "6d645fac",
    "metadata": {
     "editable": true
    },
@@ -1364,7 +1365,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "98f3a5d5",
+   "id": "9c60a3f7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1427,7 +1428,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "19cd49ec",
+   "id": "611754b9",
    "metadata": {
     "editable": true
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@@ -1458,7 +1459,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b0342f54",
+   "id": "387ee0bf",
    "metadata": {
     "editable": true
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@@ -1496,7 +1497,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7219731b",
+   "id": "df14864b",
    "metadata": {
     "editable": true
    },
@@ -1530,7 +1531,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "248590b9",
+   "id": "b3fec075",
    "metadata": {
     "editable": true
    },
@@ -1571,7 +1572,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "1810a36c",
+   "id": "b2d49c0e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1588,7 +1589,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
+      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_93488/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
       "  return 1/(1 + np.exp(-x))\n"
      ]
     },
@@ -1673,7 +1674,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e094a404",
+   "id": "955515ec",
    "metadata": {
     "editable": true
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@@ -1694,7 +1695,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1fb3aab5",
+   "id": "a91e81d4",
    "metadata": {
     "editable": true
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@@ -1708,7 +1709,7 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "20b3c187",
+   "id": "6e5bfd57",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1818,7 +1819,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f85564ae",
+   "id": "5b9ad311",
    "metadata": {
     "editable": true
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@@ -1837,7 +1838,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "9be7082e",
+   "id": "74c2f3d3",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1872,7 +1873,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "255b5b3d",
+   "id": "3c32426e",
    "metadata": {
     "editable": true
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@@ -1886,7 +1887,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "fc014642",
+   "id": "6bd66e9e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2162,242 +2163,6 @@
       "\n"
      ]
     },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  0.01\n",
-      "Lambda =  10.0\n",
-      "Accuracy score on test set:  0.19166666666666668\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  0.1\n",
-      "Lambda =  1e-05\n",
-      "Accuracy score on test set:  0.10555555555555556\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  0.1\n",
-      "Lambda =  0.0001\n",
-      "Accuracy score on test set:  0.08611111111111111\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  0.1\n",
-      "Lambda =  0.001\n",
-      "Accuracy score on test set:  0.10555555555555556\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  0.1\n",
-      "Lambda =  0.01\n",
-      "Accuracy score on test set:  0.08888888888888889\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  0.1\n",
-      "Lambda =  0.1\n",
-      "Accuracy score on test set:  0.08611111111111111\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  0.1\n",
-      "Lambda =  1.0\n",
-      "Accuracy score on test set:  0.08888888888888889\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  0.1\n",
-      "Lambda =  10.0\n",
-      "Accuracy score on test set:  0.09166666666666666\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n",
-      "  exp_term = np.exp(self.z_o)\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:44: RuntimeWarning: invalid value encountered in divide\n",
-      "  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  1.0\n",
-      "Lambda =  1e-05\n",
-      "Accuracy score on test set:  0.07777777777777778\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n",
-      "  exp_term = np.exp(self.z_o)\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:44: RuntimeWarning: invalid value encountered in divide\n",
-      "  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  1.0\n",
-      "Lambda =  0.0001\n",
-      "Accuracy score on test set:  0.07777777777777778\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n",
-      "  exp_term = np.exp(self.z_o)\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:44: RuntimeWarning: invalid value encountered in divide\n",
-      "  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  1.0\n",
-      "Lambda =  0.001\n",
-      "Accuracy score on test set:  0.07777777777777778\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n",
-      "  exp_term = np.exp(self.z_o)\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:44: RuntimeWarning: invalid value encountered in divide\n",
-      "  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Learning rate  =  1.0\n",
-      "Lambda =  0.01\n",
-      "Accuracy score on test set:  0.07777777777777778\n",
-      "\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/953065564.py:4: RuntimeWarning: overflow encountered in exp\n",
-      "  return 1/(1 + np.exp(-x))\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n",
-      "  exp_term = np.exp(self.z_o)\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_92604/1630775253.py:44: RuntimeWarning: invalid value encountered in divide\n",
-      "  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n"
-     ]
-    },
     {
      "ename": "KeyboardInterrupt",
      "evalue": "",
@@ -2406,8 +2171,8 @@
       "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
       "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
       "Cell \u001b[0;32mIn[8], line 11\u001b[0m\n\u001b[1;32m      8\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m j, lmbd \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28menumerate\u001b[39m(lmbd_vals):\n\u001b[1;32m      9\u001b[0m     dnn \u001b[38;5;241m=\u001b[39m NeuralNetwork(X_train, Y_train_onehot, eta\u001b[38;5;241m=\u001b[39meta, lmbd\u001b[38;5;241m=\u001b[39mlmbd, epochs\u001b[38;5;241m=\u001b[39mepochs, batch_size\u001b[38;5;241m=\u001b[39mbatch_size,\n\u001b[1;32m     10\u001b[0m                         n_hidden_neurons\u001b[38;5;241m=\u001b[39mn_hidden_neurons, n_categories\u001b[38;5;241m=\u001b[39mn_categories)\n\u001b[0;32m---> 11\u001b[0m     \u001b[43mdnn\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mtrain\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m     13\u001b[0m     DNN_numpy[i][j] \u001b[38;5;241m=\u001b[39m dnn\n\u001b[1;32m     15\u001b[0m     test_predict \u001b[38;5;241m=\u001b[39m dnn\u001b[38;5;241m.\u001b[39mpredict(X_test)\n",
-      "Cell \u001b[0;32mIn[6], line 99\u001b[0m, in \u001b[0;36mNeuralNetwork.train\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m     96\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mY_data \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mY_data_full[chosen_datapoints]\n\u001b[1;32m     98\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mfeed_forward()\n\u001b[0;32m---> 99\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mbackpropagation\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n",
-      "Cell \u001b[0;32mIn[6], line 64\u001b[0m, in \u001b[0;36mNeuralNetwork.backpropagation\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m     61\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39moutput_weights_gradient \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mmatmul(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39ma_h\u001b[38;5;241m.\u001b[39mT, error_output)\n\u001b[1;32m     62\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39moutput_bias_gradient \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39msum(error_output, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m)\n\u001b[0;32m---> 64\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mhidden_weights_gradient \u001b[38;5;241m=\u001b[39m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mmatmul\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mX_data\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mT\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43merror_hidden\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m     65\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mhidden_bias_gradient \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39msum(error_hidden, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m)\n\u001b[1;32m     67\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mlmbd \u001b[38;5;241m>\u001b[39m \u001b[38;5;241m0.0\u001b[39m:\n",
+      "Cell \u001b[0;32mIn[6], line 98\u001b[0m, in \u001b[0;36mNeuralNetwork.train\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m     95\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mX_data \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mX_data_full[chosen_datapoints]\n\u001b[1;32m     96\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mY_data \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mY_data_full[chosen_datapoints]\n\u001b[0;32m---> 98\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfeed_forward\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m     99\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mbackpropagation()\n",
+      "Cell \u001b[0;32mIn[6], line 38\u001b[0m, in \u001b[0;36mNeuralNetwork.feed_forward\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m     36\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mfeed_forward\u001b[39m(\u001b[38;5;28mself\u001b[39m):\n\u001b[1;32m     37\u001b[0m     \u001b[38;5;66;03m# feed-forward for training\u001b[39;00m\n\u001b[0;32m---> 38\u001b[0m     \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mz_h \u001b[38;5;241m=\u001b[39m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mmatmul\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mX_data\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mhidden_weights\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;241m+\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mhidden_bias\n\u001b[1;32m     39\u001b[0m     \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39ma_h \u001b[38;5;241m=\u001b[39m sigmoid(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mz_h)\n\u001b[1;32m     41\u001b[0m     \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mz_o \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mmatmul(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39ma_h, \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39moutput_weights) \u001b[38;5;241m+\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39moutput_bias\n",
       "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
      ]
     }
@@ -2437,7 +2202,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "96089af8",
+   "id": "9510511f",
    "metadata": {
     "editable": true
    },
@@ -2448,7 +2213,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "04c4d29a",
+   "id": "f97645b0",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2492,7 +2257,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "472a5060",
+   "id": "ac92ed55",
    "metadata": {
     "editable": true
    },
@@ -2515,7 +2280,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "42e40777",
+   "id": "cc76da2f",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2542,7 +2307,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57fc5d93",
+   "id": "4b34882e",
    "metadata": {
     "editable": true
    },
@@ -2553,7 +2318,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "90477fe7",
+   "id": "b0349437",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2598,7 +2363,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "29af8aff",
+   "id": "3dc3d83e",
    "metadata": {
     "editable": true
    },
@@ -2616,7 +2381,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a70cf999",
+   "id": "530560b4",
    "metadata": {
     "editable": true
    },
@@ -2651,7 +2416,7 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "812c98fe",
+   "id": "705deef0",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2663,7 +2428,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "694c0bd7",
+   "id": "4c72975c",
    "metadata": {
     "editable": true
    },
@@ -2675,7 +2440,7 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "1ecd18cc",
+   "id": "42580269",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2688,7 +2453,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "584ab0ab",
+   "id": "0b2fd909",
    "metadata": {
     "editable": true
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@@ -2699,7 +2464,7 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "a811e23d",
+   "id": "e8f23bf0",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2712,7 +2477,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ab99008f",
+   "id": "22efaba3",
    "metadata": {
     "editable": true
    },
@@ -2727,7 +2492,7 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "fe547415",
+   "id": "fa995d4c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2739,7 +2504,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed1e0fc6",
+   "id": "d7e17232",
    "metadata": {
     "editable": true
    },
@@ -2751,7 +2516,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6aebcb51",
+   "id": "18ffc9ed",
    "metadata": {
     "editable": true
    },
@@ -2764,7 +2529,7 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "a4a7d68d",
+   "id": "50838e03",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2819,7 +2584,7 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "21335418",
+   "id": "ab5f30fe",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2848,7 +2613,7 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "e81d58de",
+   "id": "30fff6f5",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2878,7 +2643,7 @@
   {
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    "execution_count": 19,
-   "id": "b91287cc",
+   "id": "9e412c91",
    "metadata": {
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     "editable": true
@@ -2905,7 +2670,7 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "d108674e",
+   "id": "329f11e7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2947,7 +2712,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1198d799",
+   "id": "041d733f",
    "metadata": {
     "editable": true
    },
@@ -2958,7 +2723,7 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "eb1eb4fb",
+   "id": "a6adc86f",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3135,7 +2900,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "92834502",
+   "id": "bde196e8",
    "metadata": {
     "editable": true
    },
@@ -3154,7 +2919,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "deb24cc1",
+   "id": "529854a1",
    "metadata": {
     "editable": true
    },
@@ -3176,7 +2941,7 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "d3619281",
+   "id": "d62e4240",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3317,7 +3082,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f37fd7bc",
+   "id": "3d25b135",
    "metadata": {
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@@ -3333,7 +3098,7 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "5db34b9b",
+   "id": "678df2fb",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3346,7 +3111,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8b25a24d",
+   "id": "e781631f",
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     "editable": true
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@@ -3358,7 +3123,7 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "2d5f2887",
+   "id": "18f1eb25",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3380,7 +3145,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9070c2d3",
+   "id": "a667e0e3",
    "metadata": {
     "editable": true
    },
@@ -3396,7 +3161,7 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "c360c736",
+   "id": "7c8aa0cf",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3434,7 +3199,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "42c7ec61",
+   "id": "00df836d",
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     "editable": true
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@@ -3447,7 +3212,7 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "cd9cb3a5",
+   "id": "5a9d9d29",
    "metadata": {
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     "editable": true
@@ -3468,7 +3233,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "796aab4a",
+   "id": "dfd4d270",
    "metadata": {
     "editable": true
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@@ -3484,7 +3249,7 @@
   {
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    "execution_count": 27,
-   "id": "5ea4891d",
+   "id": "e7f564f3",
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     "editable": true
@@ -3542,7 +3307,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ff3c57c",
+   "id": "ea015309",
    "metadata": {
     "editable": true
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@@ -3557,7 +3322,7 @@
   {
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    "execution_count": 28,
-   "id": "34289210",
+   "id": "feed7401",
    "metadata": {
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     "editable": true
@@ -3578,7 +3343,7 @@
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   {
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-   "id": "0839f98b",
+   "id": "1b904924",
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@@ -3602,7 +3367,7 @@
   {
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    "execution_count": 29,
-   "id": "0fdc2707",
+   "id": "41311a29",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4074,7 +3839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17bc192e",
+   "id": "ed77ef04",
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@@ -4086,7 +3851,7 @@
   {
    "cell_type": "code",
    "execution_count": 30,
-   "id": "f3f5d088",
+   "id": "58ad0c6a",
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     "collapsed": false,
     "editable": true
@@ -4130,7 +3895,7 @@
   },
   {
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-   "id": "53c3b4c2",
+   "id": "d277ed22",
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@@ -4146,7 +3911,7 @@
   {
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    "execution_count": 31,
-   "id": "890d682f",
+   "id": "a8a25f75",
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     "collapsed": false,
     "editable": true
@@ -4161,7 +3926,7 @@
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-   "id": "dc4da852",
+   "id": "de607468",
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@@ -4172,7 +3937,7 @@
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@@ -4974,7 +4739,7 @@
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@@ -4991,7 +4756,7 @@
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@@ -5001,7 +4766,7 @@
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@@ -5013,7 +4778,7 @@
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@@ -5027,7 +4792,7 @@
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@@ -5043,7 +4808,7 @@
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@@ -5055,7 +4820,7 @@
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@@ -5077,7 +4842,7 @@
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@@ -5112,7 +4877,7 @@
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@@ -5128,7 +4893,7 @@
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@@ -5140,7 +4905,7 @@
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@@ -5176,7 +4941,7 @@
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@@ -5197,7 +4962,7 @@
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@@ -5209,7 +4974,7 @@
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@@ -5228,7 +4993,7 @@
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@@ -5238,7 +5003,7 @@
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@@ -5252,7 +5017,7 @@
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@@ -5264,7 +5029,7 @@
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@@ -5276,7 +5041,7 @@
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@@ -5293,7 +5058,7 @@
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@@ -5305,7 +5070,7 @@
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@@ -5327,7 +5092,7 @@
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@@ -5342,7 +5107,7 @@
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@@ -5353,7 +5118,7 @@
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@@ -5508,7 +5273,7 @@
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@@ -5523,7 +5288,7 @@
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@@ -5692,7 +5457,7 @@
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@@ -5705,7 +5470,7 @@
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@@ -5722,7 +5487,7 @@
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@@ -5738,7 +5503,7 @@
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@@ -5751,7 +5516,7 @@
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@@ -5768,7 +5533,7 @@
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@@ -5780,7 +5545,7 @@
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@@ -5807,7 +5572,7 @@
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@@ -5820,7 +5585,7 @@
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@@ -5999,7 +5764,7 @@
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@@ -6019,7 +5784,7 @@
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@@ -6034,7 +5799,7 @@
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@@ -6048,7 +5813,7 @@
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@@ -6064,7 +5829,7 @@
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@@ -6074,7 +5839,7 @@
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@@ -6096,7 +5861,7 @@
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@@ -6110,7 +5875,7 @@
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@@ -6186,7 +5951,7 @@
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@@ -6198,7 +5963,7 @@
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@@ -6215,7 +5980,7 @@
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+   "id": "9cd38ea9",
    "metadata": {
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    },
@@ -6227,7 +5992,7 @@
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   {
    "cell_type": "markdown",
-   "id": "fb310d7c",
+   "id": "9694bb51",
    "metadata": {
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@@ -6242,7 +6007,7 @@
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   {
    "cell_type": "markdown",
-   "id": "e6b102dc",
+   "id": "6e07281b",
    "metadata": {
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@@ -6254,7 +6019,7 @@
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   {
    "cell_type": "markdown",
-   "id": "797d4bb8",
+   "id": "db57a833",
    "metadata": {
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@@ -6266,7 +6031,7 @@
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   {
    "cell_type": "markdown",
-   "id": "da2e90b8",
+   "id": "ebdeaa75",
    "metadata": {
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@@ -6278,7 +6043,7 @@
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   {
    "cell_type": "markdown",
-   "id": "318f8f3a",
+   "id": "5f930649",
    "metadata": {
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@@ -6288,7 +6053,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5e8ac9e",
+   "id": "f7e8ffc6",
    "metadata": {
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@@ -6305,7 +6070,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "220ceeb4",
+   "id": "8cfec0e6",
    "metadata": {
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@@ -6317,7 +6082,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ec8b38dc",
+   "id": "1fc6e392",
    "metadata": {
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@@ -6329,7 +6094,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0ed927a9",
+   "id": "8aba4caa",
    "metadata": {
     "editable": true
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@@ -6339,7 +6104,7 @@
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   {
    "cell_type": "markdown",
-   "id": "3a51ddcc",
+   "id": "fd018426",
    "metadata": {
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@@ -6351,7 +6116,7 @@
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   {
    "cell_type": "markdown",
-   "id": "d5392b8d",
+   "id": "44764933",
    "metadata": {
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@@ -6362,7 +6127,7 @@
   {
    "cell_type": "code",
    "execution_count": 45,
-   "id": "95059f71",
+   "id": "76170788",
    "metadata": {
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     "editable": true
@@ -6527,7 +6292,7 @@
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   {
    "cell_type": "markdown",
-   "id": "7c568bf3",
+   "id": "afe64d3c",
    "metadata": {
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@@ -6549,7 +6314,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eab0bb68",
+   "id": "b579efba",
    "metadata": {
     "editable": true
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@@ -6566,7 +6331,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0ada0c0",
+   "id": "1f9afc2e",
    "metadata": {
     "editable": true
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@@ -6576,7 +6341,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b483eace",
+   "id": "cdc8be09",
    "metadata": {
     "editable": true
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@@ -6591,7 +6356,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "30d45122",
+   "id": "5955fec0",
    "metadata": {
     "editable": true
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@@ -6601,7 +6366,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52c68e05",
+   "id": "ce2797bd",
    "metadata": {
     "editable": true
    },
@@ -6616,7 +6381,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1657934d",
+   "id": "dd635489",
    "metadata": {
     "editable": true
    },
@@ -6627,7 +6392,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9fc46a1b",
+   "id": "2eddadc9",
    "metadata": {
     "editable": true
    },
@@ -6647,7 +6412,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cd79f75c",
+   "id": "65a61481",
    "metadata": {
     "editable": true
    },
@@ -6659,7 +6424,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "501ac880",
+   "id": "7013915a",
    "metadata": {
     "editable": true
    },
@@ -6696,7 +6461,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8551615b",
+   "id": "6b5d013b",
    "metadata": {
     "editable": true
    },
@@ -6706,7 +6471,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dbd6d2a1",
+   "id": "3877834e",
    "metadata": {
     "editable": true
    },
@@ -6719,7 +6484,7 @@
   {
    "cell_type": "code",
    "execution_count": 46,
-   "id": "c71a3063",
+   "id": "7e63f565",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -6924,7 +6689,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "da58cdec",
+   "id": "2592748f",
    "metadata": {
     "editable": true
    },
@@ -6941,7 +6706,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "df991968",
+   "id": "f76a2424",
    "metadata": {
     "editable": true
    },
@@ -6958,7 +6723,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "59ef3099",
+   "id": "06bb4068",
    "metadata": {
     "editable": true
    },
@@ -6968,7 +6733,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a580ae0f",
+   "id": "cf449250",
    "metadata": {
     "editable": true
    },
@@ -6983,7 +6748,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a56f3fe1",
+   "id": "72fe7bb2",
    "metadata": {
     "editable": true
    },
@@ -6997,7 +6762,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "69586714",
+   "id": "97d43e59",
    "metadata": {
     "editable": true
    },
@@ -7010,7 +6775,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d8374dce",
+   "id": "26ed608f",
    "metadata": {
     "editable": true
    },
@@ -7030,7 +6795,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f3fe961e",
+   "id": "ae2b2d38",
    "metadata": {
     "editable": true
    },
@@ -7042,7 +6807,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4e453aa1",
+   "id": "0bc085b8",
    "metadata": {
     "editable": true
    },
@@ -7054,7 +6819,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e1ebf5bd",
+   "id": "1634a37d",
    "metadata": {
     "editable": true
    },
@@ -7066,7 +6831,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b8c35553",
+   "id": "4700b147",
    "metadata": {
     "editable": true
    },
@@ -7076,7 +6841,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "22a123d5",
+   "id": "07da99c0",
    "metadata": {
     "editable": true
    },
@@ -7088,7 +6853,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b15eedf5",
+   "id": "7d3e9d8a",
    "metadata": {
     "editable": true
    },
@@ -7100,7 +6865,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a92cc8c",
+   "id": "77e9e06c",
    "metadata": {
     "editable": true
    },
@@ -7112,7 +6877,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4862313",
+   "id": "ab19ecd2",
    "metadata": {
     "editable": true
    },
@@ -7122,7 +6887,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c186d68",
+   "id": "31ff9094",
    "metadata": {
     "editable": true
    },
@@ -7138,7 +6903,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57d4f000",
+   "id": "3896b229",
    "metadata": {
     "editable": true
    },
@@ -7148,7 +6913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c2cdc6b",
+   "id": "40d97099",
    "metadata": {
     "editable": true
    },
@@ -7160,7 +6925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bde064ea",
+   "id": "32cda23a",
    "metadata": {
     "editable": true
    },
@@ -7177,7 +6942,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7a558c97",
+   "id": "140ba57b",
    "metadata": {
     "editable": true
    },
@@ -7187,7 +6952,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "534a4844",
+   "id": "68834674",
    "metadata": {
     "editable": true
    },
@@ -7203,7 +6968,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a07e0730",
+   "id": "198be6e0",
    "metadata": {
     "editable": true
    },
@@ -7217,7 +6982,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74b72286",
+   "id": "e56f85f9",
    "metadata": {
     "editable": true
    },
@@ -7236,7 +7001,7 @@
   {
    "cell_type": "code",
    "execution_count": 47,
-   "id": "4a0c57e9",
+   "id": "4ee57304",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -7291,7 +7056,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "350b1d3d",
+   "id": "0088cd21",
    "metadata": {
     "editable": true
    },
@@ -7321,7 +7086,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9fd438b5",
+   "id": "c422d21e",
    "metadata": {
     "editable": true
    },
@@ -7350,7 +7115,7 @@
   {
    "cell_type": "code",
    "execution_count": 48,
-   "id": "d1c81690",
+   "id": "86acdd1c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -7397,7 +7162,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ca22d9ce",
+   "id": "6097ee56",
    "metadata": {
     "editable": true
    },
@@ -7423,7 +7188,7 @@
   {
    "cell_type": "code",
    "execution_count": 49,
-   "id": "5a9146bc",
+   "id": "8cf456d6",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -7657,7 +7422,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e59d2116",
+   "id": "1f09e18d",
    "metadata": {
     "editable": true
    },
@@ -7669,7 +7434,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e2ffdbaf",
+   "id": "2f8d1764",
    "metadata": {
     "editable": true
    },
@@ -7681,7 +7446,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37b2cc03",
+   "id": "2e187f3c",
    "metadata": {
     "editable": true
    },
@@ -7693,7 +7458,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "524df5d3",
+   "id": "b9710ff1",
    "metadata": {
     "editable": true
    },
@@ -7710,7 +7475,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d175b25f",
+   "id": "474b116e",
    "metadata": {
     "editable": true
    },
@@ -7720,7 +7485,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "11b3289e",
+   "id": "f50a379c",
    "metadata": {
     "editable": true
    },
@@ -7732,7 +7497,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e469d65e",
+   "id": "b9be7c57",
    "metadata": {
     "editable": true
    },
@@ -7749,7 +7514,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5f773fa8",
+   "id": "e9a7c309",
    "metadata": {
     "editable": true
    },
@@ -7760,7 +7525,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2952f7b4",
+   "id": "82102f94",
    "metadata": {
     "editable": true
    },
@@ -7780,7 +7545,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "99057b48",
+   "id": "33008606",
    "metadata": {
     "editable": true
    },
@@ -7790,7 +7555,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7debdfea",
+   "id": "a4efa0b7",
    "metadata": {
     "editable": true
    },
@@ -7816,7 +7581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d5d5c44",
+   "id": "2a1267ce",
    "metadata": {
     "editable": true
    },
@@ -7832,7 +7597,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f97806ce",
+   "id": "0aa8903b",
    "metadata": {
     "editable": true
    },
@@ -7843,7 +7608,7 @@
   {
    "cell_type": "code",
    "execution_count": 50,
-   "id": "9337b7c7",
+   "id": "40349a4d",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -8074,7 +7839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6071d006",
+   "id": "9e31fdb4",
    "metadata": {
     "editable": true
    },
diff --git a/doc/LectureNotes/_build/jupyter_execute/week43.py b/doc/LectureNotes/_build/jupyter_execute/week43.py
index 7e3c621a5..075095e51 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week43.py
+++ b/doc/LectureNotes/_build/jupyter_execute/week43.py
@@ -17,7 +17,8 @@
 #   * Building our own Feed-forward Neural Network with intro to Tensorflow
 # 
 #   * Solving differential equations with Neural Networks
-# <!-- * [Video of lecture to be posted asap](https://youtu.be/) -->
+# 
+#   * "Video of lecture at <https://youtu.be/vkBNTn-MLqs>
 # <!-- * [Whiteboard notes](https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2024/NotesOct21.pdf) -->
 
 # ## Exercises and lab session week 43