One simple way to get a discrete output is to have sign functions that map the output of a linear regressor to values \( \{0,1\} \), \( f(s_i)=sign(s_i)=1 \) if \( s_i\ge 0 \) and 0 if otherwise. -We will encounter this model in our first demonstration of neural networks. Historically it is called the ``perceptron" model in the machine learning +We will encounter this model in our first demonstration of neural networks. +
+ +Historically it is called the perceptron model in the machine learning literature. This model is extremely simple. However, in many cases it is more favorable to use a ``soft" classifier that outputs the probability of a given category. This leads us to the logistic function. diff --git a/doc/pub/week38/html/week38-reveal.html b/doc/pub/week38/html/week38-reveal.html index f87016a53..42fcc57c7 100644 --- a/doc/pub/week38/html/week38-reveal.html +++ b/doc/pub/week38/html/week38-reveal.html @@ -591,7 +591,10 @@ in the data set (see the full example below).
One simple way to get a discrete output is to have sign functions that map the output of a linear regressor to values \( \{0,1\} \), \( f(s_i)=sign(s_i)=1 \) if \( s_i\ge 0 \) and 0 if otherwise. -We will encounter this model in our first demonstration of neural networks. Historically it is called the ``perceptron" model in the machine learning +We will encounter this model in our first demonstration of neural networks. +
+ +Historically it is called the perceptron model in the machine learning literature. This model is extremely simple. However, in many cases it is more favorable to use a ``soft" classifier that outputs the probability of a given category. This leads us to the logistic function. diff --git a/doc/pub/week38/html/week38-solarized.html b/doc/pub/week38/html/week38-solarized.html index ab4c363e1..dc451cefd 100644 --- a/doc/pub/week38/html/week38-solarized.html +++ b/doc/pub/week38/html/week38-solarized.html @@ -552,7 +552,10 @@ in the data set (see the full example below).
One simple way to get a discrete output is to have sign functions that map the output of a linear regressor to values \( \{0,1\} \), \( f(s_i)=sign(s_i)=1 \) if \( s_i\ge 0 \) and 0 if otherwise. -We will encounter this model in our first demonstration of neural networks. Historically it is called the ``perceptron" model in the machine learning +We will encounter this model in our first demonstration of neural networks. +
+ +Historically it is called the perceptron model in the machine learning literature. This model is extremely simple. However, in many cases it is more favorable to use a ``soft" classifier that outputs the probability of a given category. This leads us to the logistic function. diff --git a/doc/pub/week38/html/week38.html b/doc/pub/week38/html/week38.html index f869d1246..b3474b662 100644 --- a/doc/pub/week38/html/week38.html +++ b/doc/pub/week38/html/week38.html @@ -629,7 +629,10 @@ in the data set (see the full example below).
One simple way to get a discrete output is to have sign functions that map the output of a linear regressor to values \( \{0,1\} \), \( f(s_i)=sign(s_i)=1 \) if \( s_i\ge 0 \) and 0 if otherwise. -We will encounter this model in our first demonstration of neural networks. Historically it is called the ``perceptron" model in the machine learning +We will encounter this model in our first demonstration of neural networks. +
+ +Historically it is called the perceptron model in the machine learning literature. This model is extremely simple. However, in many cases it is more favorable to use a ``soft" classifier that outputs the probability of a given category. This leads us to the logistic function. diff --git a/doc/pub/week38/ipynb/ipynb-week38-src.tar.gz b/doc/pub/week38/ipynb/ipynb-week38-src.tar.gz index 50a4dd821..f172974bb 100644 Binary files a/doc/pub/week38/ipynb/ipynb-week38-src.tar.gz and b/doc/pub/week38/ipynb/ipynb-week38-src.tar.gz differ diff --git a/doc/pub/week38/ipynb/week38.ipynb b/doc/pub/week38/ipynb/week38.ipynb index 75f2ac3ec..805096efe 100644 --- a/doc/pub/week38/ipynb/week38.ipynb +++ b/doc/pub/week38/ipynb/week38.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "5def2812", + "id": "652eaa23", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "565e2f9b", + "id": "412093d8", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "91fca3ec", + "id": "56415917", "metadata": { "editable": true }, @@ -53,7 +53,7 @@ }, { "cell_type": "markdown", - "id": "f474852a", + "id": "0ba9703f", "metadata": { "editable": true }, @@ -66,7 +66,7 @@ }, { "cell_type": "markdown", - "id": "9728f4cd", + "id": "c3cef7e5", "metadata": { "editable": true }, @@ -78,7 +78,7 @@ }, { "cell_type": "markdown", - "id": "e4716124", + "id": "c262c111", "metadata": { "editable": true }, @@ -88,7 +88,7 @@ }, { "cell_type": "markdown", - "id": "9e02d12b", + "id": "864f53c3", "metadata": { "editable": true }, @@ -101,7 +101,7 @@ }, { "cell_type": "markdown", - "id": "e67c60c1", + "id": "266f4d21", "metadata": { "editable": true }, @@ -111,7 +111,7 @@ }, { "cell_type": "markdown", - "id": "c1e3c785", + "id": "e024e880", "metadata": { "editable": true }, @@ -123,7 +123,7 @@ }, { "cell_type": "markdown", - "id": "64eef79f", + "id": "283f572d", "metadata": { "editable": true }, @@ -136,7 +136,7 @@ }, { "cell_type": "markdown", - "id": "87155dca", + "id": "86ea66e3", "metadata": { "editable": true }, @@ -149,7 +149,7 @@ }, { "cell_type": "markdown", - "id": "be318805", + "id": "ca159901", "metadata": { "editable": true }, @@ -161,7 +161,7 @@ }, { "cell_type": "markdown", - "id": "b02aa814", + "id": "a3abca8c", "metadata": { "editable": true }, @@ -173,7 +173,7 @@ }, { "cell_type": "markdown", - "id": "1dfbc8c3", + "id": "bf976ebb", "metadata": { "editable": true }, @@ -183,7 +183,7 @@ }, { "cell_type": "markdown", - "id": "0709e8d4", + "id": "8da5be41", "metadata": { "editable": true }, @@ -196,7 +196,7 @@ }, { "cell_type": "markdown", - "id": "e6c5367c", + "id": "3c1ff039", "metadata": { "editable": true }, @@ -208,7 +208,7 @@ }, { "cell_type": "markdown", - "id": "63427486", + "id": "bc5693e7", "metadata": { "editable": true }, @@ -220,7 +220,7 @@ }, { "cell_type": "markdown", - "id": "83a0ff77", + "id": "49a40462", "metadata": { "editable": true }, @@ -245,7 +245,7 @@ }, { "cell_type": "markdown", - "id": "5cfabb4d", + "id": "2fe8efc8", "metadata": { "editable": true }, @@ -261,7 +261,7 @@ }, { "cell_type": "markdown", - "id": "c3932510", + "id": "f7e0070d", "metadata": { "editable": true }, @@ -277,7 +277,7 @@ }, { "cell_type": "markdown", - "id": "2f18ac53", + "id": "ebee0b5a", "metadata": { "editable": true }, @@ -291,7 +291,7 @@ }, { "cell_type": "markdown", - "id": "aeaa0dc0", + "id": "8e5723e9", "metadata": { "editable": true }, @@ -319,7 +319,7 @@ }, { "cell_type": "markdown", - "id": "ac2a7edd", + "id": "b1e37773", "metadata": { "editable": true }, @@ -332,7 +332,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "80e3c0a2", + "id": "77d9a00f", "metadata": { "collapsed": false, "editable": true @@ -434,7 +434,7 @@ }, { "cell_type": "markdown", - "id": "566c27e0", + "id": "73433b63", "metadata": { "editable": true }, @@ -456,7 +456,7 @@ }, { "cell_type": "markdown", - "id": "db6f7bc5", + "id": "e0c98107", "metadata": { "editable": true }, @@ -482,7 +482,7 @@ }, { "cell_type": "markdown", - "id": "4e9d0f13", + "id": "a640b43b", "metadata": { "editable": true }, @@ -506,7 +506,7 @@ }, { "cell_type": "markdown", - "id": "80c8560d", + "id": "a9fc3750", "metadata": { "editable": true }, @@ -531,7 +531,7 @@ }, { "cell_type": "markdown", - "id": "9ab1d07a", + "id": "95394ce9", "metadata": { "editable": true }, @@ -543,7 +543,7 @@ }, { "cell_type": "markdown", - "id": "938ba7ee", + "id": "2cdbae4b", "metadata": { "editable": true }, @@ -561,7 +561,7 @@ }, { "cell_type": "markdown", - "id": "679b22f6", + "id": "2d6beff7", "metadata": { "editable": true }, @@ -579,7 +579,7 @@ }, { "cell_type": "markdown", - "id": "9d1e5dea", + "id": "93b13cb0", "metadata": { "editable": true }, @@ -590,7 +590,7 @@ }, { "cell_type": "markdown", - "id": "51d05227", + "id": "30c9fa05", "metadata": { "editable": true }, @@ -607,7 +607,9 @@ "One simple way to get a discrete output is to have sign\n", "functions that map the output of a linear regressor to values $\\{0,1\\}$,\n", "$f(s_i)=sign(s_i)=1$ if $s_i\\ge 0$ and 0 if otherwise. \n", - "We will encounter this model in our first demonstration of neural networks. Historically it is called the ``perceptron\" model in the machine learning\n", + "We will encounter this model in our first demonstration of neural networks.\n", + "\n", + "Historically it is called the **perceptron** model in the machine learning\n", "literature. This model is extremely simple. However, in many cases it is more\n", "favorable to use a ``soft\" classifier that outputs\n", "the probability of a given category. This leads us to the logistic function." @@ -615,7 +617,7 @@ }, { "cell_type": "markdown", - "id": "b2e8dce6", + "id": "15531089", "metadata": { "editable": true }, @@ -628,7 +630,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "6b426e6c", + "id": "5e4150c0", "metadata": { "collapsed": false, "editable": true @@ -693,7 +695,7 @@ }, { "cell_type": "markdown", - "id": "34925b7f", + "id": "151c3510", "metadata": { "editable": true }, @@ -706,7 +708,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "5927ca37", + "id": "45630690", "metadata": { "collapsed": false, "editable": true @@ -725,7 +727,7 @@ }, { "cell_type": "markdown", - "id": "46219c4c", + "id": "ab7468b4", "metadata": { "editable": true }, @@ -736,7 +738,7 @@ }, { "cell_type": "markdown", - "id": "aafb8c6a", + "id": "a6b22ad4", "metadata": { "editable": true }, @@ -748,7 +750,7 @@ }, { "cell_type": "markdown", - "id": "777f56df", + "id": "6f7756e6", "metadata": { "editable": true }, @@ -767,7 +769,7 @@ }, { "cell_type": "markdown", - "id": "e4d6ec6c", + "id": "fdf8ff6c", "metadata": { "editable": true }, @@ -789,7 +791,7 @@ }, { "cell_type": "markdown", - "id": "7209b38d", + "id": "7e8a0b52", "metadata": { "editable": true }, @@ -801,7 +803,7 @@ }, { "cell_type": "markdown", - "id": "97e4f837", + "id": "2558e7cd", "metadata": { "editable": true }, @@ -811,7 +813,7 @@ }, { "cell_type": "markdown", - "id": "acd37c8e", + "id": "0a5940fd", "metadata": { "editable": true }, @@ -824,7 +826,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "f1c58145", + "id": "f24a162d", "metadata": { "collapsed": false, "editable": true @@ -889,7 +891,7 @@ }, { "cell_type": "markdown", - "id": "f16f04c8", + "id": "e3599eec", "metadata": { "editable": true }, @@ -901,7 +903,7 @@ }, { "cell_type": "markdown", - "id": "488fb227", + "id": "ff260317", "metadata": { "editable": true }, @@ -916,7 +918,7 @@ }, { "cell_type": "markdown", - "id": "d82bc5aa", + "id": "d933c155", "metadata": { "editable": true }, @@ -928,7 +930,7 @@ }, { "cell_type": "markdown", - "id": "9a582122", + "id": "868d2fc7", "metadata": { "editable": true }, @@ -940,7 +942,7 @@ }, { "cell_type": "markdown", - "id": "b5395b9e", + "id": "0c8fc616", "metadata": { "editable": true }, @@ -957,7 +959,7 @@ }, { "cell_type": "markdown", - "id": "f6651ae2", + "id": "451f14cf", "metadata": { "editable": true }, @@ -971,7 +973,7 @@ }, { "cell_type": "markdown", - "id": "0a2fa391", + "id": "84c82a47", "metadata": { "editable": true }, @@ -981,7 +983,7 @@ }, { "cell_type": "markdown", - "id": "45181cc8", + "id": "08e03785", "metadata": { "editable": true }, @@ -993,7 +995,7 @@ }, { "cell_type": "markdown", - "id": "fb4a8882", + "id": "ec678734", "metadata": { "editable": true }, @@ -1005,7 +1007,7 @@ }, { "cell_type": "markdown", - "id": "a8b2105f", + "id": "63ce94a6", "metadata": { "editable": true }, @@ -1017,7 +1019,7 @@ }, { "cell_type": "markdown", - "id": "78e1987d", + "id": "be19d2fb", "metadata": { "editable": true }, @@ -1028,7 +1030,7 @@ }, { "cell_type": "markdown", - "id": "a95864f2", + "id": "10ad3233", "metadata": { "editable": true }, @@ -1040,7 +1042,7 @@ }, { "cell_type": "markdown", - "id": "c1fa0a73", + "id": "1bff70de", "metadata": { "editable": true }, @@ -1051,7 +1053,7 @@ }, { "cell_type": "markdown", - "id": "6570c11f", + "id": "7b12d507", "metadata": { "editable": true }, @@ -1067,7 +1069,7 @@ }, { "cell_type": "markdown", - "id": "cfbe82cd", + "id": "a130861d", "metadata": { "editable": true }, @@ -1079,7 +1081,7 @@ }, { "cell_type": "markdown", - "id": "7dcde9fc", + "id": "c46f63ad", "metadata": { "editable": true }, @@ -1089,7 +1091,7 @@ }, { "cell_type": "markdown", - "id": "a2918d81", + "id": "ec30c9da", "metadata": { "editable": true }, @@ -1101,7 +1103,7 @@ }, { "cell_type": "markdown", - "id": "f6608eda", + "id": "aed371be", "metadata": { "editable": true }, @@ -1116,7 +1118,7 @@ }, { "cell_type": "markdown", - "id": "2083a91b", + "id": "30c54aec", "metadata": { "editable": true }, @@ -1128,7 +1130,7 @@ }, { "cell_type": "markdown", - "id": "4d5331cd", + "id": "e5e12677", "metadata": { "editable": true }, @@ -1139,7 +1141,7 @@ }, { "cell_type": "markdown", - "id": "200c5632", + "id": "be19f613", "metadata": { "editable": true }, @@ -1151,7 +1153,7 @@ }, { "cell_type": "markdown", - "id": "f87e14ab", + "id": "a7940ac5", "metadata": { "editable": true }, @@ -1163,7 +1165,7 @@ }, { "cell_type": "markdown", - "id": "71ea371a", + "id": "e446bb6a", "metadata": { "editable": true }, @@ -1175,7 +1177,7 @@ }, { "cell_type": "markdown", - "id": "94bb4864", + "id": "8773dee3", "metadata": { "editable": true }, @@ -1185,7 +1187,7 @@ }, { "cell_type": "markdown", - "id": "60a6b4ab", + "id": "8b61535f", "metadata": { "editable": true }, @@ -1197,7 +1199,7 @@ }, { "cell_type": "markdown", - "id": "fc303f5e", + "id": "44aa3da6", "metadata": { "editable": true }, @@ -1211,7 +1213,7 @@ }, { "cell_type": "markdown", - "id": "a8dc910e", + "id": "fcbd1be9", "metadata": { "editable": true }, @@ -1223,7 +1225,7 @@ }, { "cell_type": "markdown", - "id": "d87af40a", + "id": "36584274", "metadata": { "editable": true }, @@ -1233,7 +1235,7 @@ }, { "cell_type": "markdown", - "id": "961aba48", + "id": "1a2d709d", "metadata": { "editable": true }, @@ -1245,7 +1247,7 @@ }, { "cell_type": "markdown", - "id": "64ae8a41", + "id": "9137253c", "metadata": { "editable": true }, @@ -1255,7 +1257,7 @@ }, { "cell_type": "markdown", - "id": "ed913d9c", + "id": "fb5eb819", "metadata": { "editable": true }, @@ -1267,7 +1269,7 @@ }, { "cell_type": "markdown", - "id": "2e26c421", + "id": "4d204244", "metadata": { "editable": true }, @@ -1278,7 +1280,7 @@ }, { "cell_type": "markdown", - "id": "f68e2f11", + "id": "6c26b0e2", "metadata": { "editable": true }, @@ -1301,7 +1303,7 @@ }, { "cell_type": "markdown", - "id": "f39e58ab", + "id": "a1cafac2", "metadata": { "editable": true }, @@ -1313,7 +1315,7 @@ }, { "cell_type": "markdown", - "id": "6914c0c0", + "id": "3b8d4bfa", "metadata": { "editable": true }, @@ -1323,7 +1325,7 @@ }, { "cell_type": "markdown", - "id": "d2132a2a", + "id": "cce7a399", "metadata": { "editable": true }, @@ -1335,7 +1337,7 @@ }, { "cell_type": "markdown", - "id": "ecd07817", + "id": "c68f818f", "metadata": { "editable": true }, @@ -1352,7 +1354,7 @@ }, { "cell_type": "markdown", - "id": "caf0b869", + "id": "773ed081", "metadata": { "editable": true }, @@ -1362,7 +1364,7 @@ }, { "cell_type": "markdown", - "id": "e81efcc0", + "id": "37fa9295", "metadata": { "editable": true }, @@ -1377,7 +1379,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "6719759d", + "id": "08c21e60", "metadata": { "collapsed": false, "editable": true @@ -1413,7 +1415,7 @@ }, { "cell_type": "markdown", - "id": "dc130ffa", + "id": "505e0f9a", "metadata": { "editable": true }, @@ -1427,7 +1429,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "5e4453ed", + "id": "f44c8a70", "metadata": { "collapsed": false, "editable": true @@ -1472,7 +1474,7 @@ }, { "cell_type": "markdown", - "id": "22ed51f5", + "id": "0aee1771", "metadata": { "editable": true }, @@ -1497,7 +1499,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "bb5f770c", + "id": "44fdab91", "metadata": { "collapsed": false, "editable": true @@ -1509,7 +1511,7 @@ }, { "cell_type": "markdown", - "id": "c997da6e", + "id": "bb09b0bc", "metadata": { "editable": true }, @@ -1520,7 +1522,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "3ff8b827", + "id": "82c9ee3e", "metadata": { "collapsed": false, "editable": true @@ -1532,7 +1534,7 @@ }, { "cell_type": "markdown", - "id": "cc3ee93c", + "id": "83a118fb", "metadata": { "editable": true }, @@ -1545,7 +1547,7 @@ }, { "cell_type": "markdown", - "id": "f8b434c3", + "id": "1ed070cf", "metadata": { "editable": true }, @@ -1556,7 +1558,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "2f0c2ea3", + "id": "135cad2c", "metadata": { "collapsed": false, "editable": true @@ -1611,7 +1613,7 @@ }, { "cell_type": "markdown", - "id": "f89296cd", + "id": "0ae3aee4", "metadata": { "editable": true }, @@ -1621,7 +1623,7 @@ }, { "cell_type": "markdown", - "id": "bad04be1", + "id": "d29a2c84", "metadata": { "editable": true }, @@ -1642,7 +1644,7 @@ }, { "cell_type": "markdown", - "id": "c6948a94", + "id": "94e5b193", "metadata": { "editable": true }, @@ -1659,7 +1661,7 @@ }, { "cell_type": "markdown", - "id": "d48f3124", + "id": "dcc96426", "metadata": { "editable": true }, @@ -1674,7 +1676,7 @@ }, { "cell_type": "markdown", - "id": "65ab6c61", + "id": "ba265702", "metadata": { "editable": true }, @@ -1684,7 +1686,7 @@ }, { "cell_type": "markdown", - "id": "dcf5a0be", + "id": "e3d4f0e1", "metadata": { "editable": true }, @@ -1700,7 +1702,7 @@ }, { "cell_type": "markdown", - "id": "982ec876", + "id": "6d2ee642", "metadata": { "editable": true }, @@ -1712,7 +1714,7 @@ }, { "cell_type": "markdown", - "id": "5166d10b", + "id": "d7783361", "metadata": { "editable": true }, @@ -1723,7 +1725,7 @@ }, { "cell_type": "markdown", - "id": "354aa98f", + "id": "fbe0ae96", "metadata": { "editable": true }, @@ -1735,7 +1737,7 @@ }, { "cell_type": "markdown", - "id": "88f270ab", + "id": "045b1f3c", "metadata": { "editable": true }, @@ -1745,7 +1747,7 @@ }, { "cell_type": "markdown", - "id": "75d1a620", + "id": "0517345b", "metadata": { "editable": true }, @@ -1759,7 +1761,7 @@ }, { "cell_type": "markdown", - "id": "d8b70707", + "id": "d4213f23", "metadata": { "editable": true }, @@ -1771,7 +1773,7 @@ }, { "cell_type": "markdown", - "id": "f19e919e", + "id": "14a27b15", "metadata": { "editable": true }, @@ -1781,7 +1783,7 @@ }, { "cell_type": "markdown", - "id": "ff1981ee", + "id": "0e81a6a6", "metadata": { "editable": true }, @@ -1793,7 +1795,7 @@ }, { "cell_type": "markdown", - "id": "bb9b3bb6", + "id": "770eacc6", "metadata": { "editable": true }, @@ -1805,7 +1807,7 @@ }, { "cell_type": "markdown", - "id": "eeeb36fc", + "id": "49e04247", "metadata": { "editable": true }, @@ -1825,7 +1827,7 @@ }, { "cell_type": "markdown", - "id": "00690bd8", + "id": "609a75a9", "metadata": { "editable": true }, @@ -1841,7 +1843,7 @@ }, { "cell_type": "markdown", - "id": "009d5f64", + "id": "78bb3209", "metadata": { "editable": true }, @@ -1857,7 +1859,7 @@ }, { "cell_type": "markdown", - "id": "e657de4b", + "id": "1049b712", "metadata": { "editable": true }, @@ -1868,7 +1870,7 @@ }, { "cell_type": "markdown", - "id": "49ea333c", + "id": "330b28d9", "metadata": { "editable": true }, @@ -1880,7 +1882,7 @@ }, { "cell_type": "markdown", - "id": "179ba575", + "id": "1e8c72f3", "metadata": { "editable": true }, @@ -1890,7 +1892,7 @@ }, { "cell_type": "markdown", - "id": "d90b5b98", + "id": "ce030426", "metadata": { "editable": true }, @@ -1902,7 +1904,7 @@ }, { "cell_type": "markdown", - "id": "d52f76c7", + "id": "6bf02606", "metadata": { "editable": true }, @@ -1912,7 +1914,7 @@ }, { "cell_type": "markdown", - "id": "8834b7fc", + "id": "450a24ec", "metadata": { "editable": true }, @@ -1924,7 +1926,7 @@ }, { "cell_type": "markdown", - "id": "5765da6d", + "id": "6d4a2e16", "metadata": { "editable": true }, @@ -1946,7 +1948,7 @@ }, { "cell_type": "markdown", - "id": "4671ea0e", + "id": "ac343659", "metadata": { "editable": true }, @@ -1959,7 +1961,7 @@ }, { "cell_type": "markdown", - "id": "b1266fbd", + "id": "130a91e2", "metadata": { "editable": true }, @@ -1972,7 +1974,7 @@ }, { "cell_type": "markdown", - "id": "6a1356d4", + "id": "16340ef0", "metadata": { "editable": true }, @@ -1982,7 +1984,7 @@ }, { "cell_type": "markdown", - "id": "96ed0828", + "id": "d030336e", "metadata": { "editable": true }, @@ -2000,7 +2002,7 @@ }, { "cell_type": "markdown", - "id": "d79d1cb9", + "id": "6ea40e0f", "metadata": { "editable": true }, @@ -2010,7 +2012,7 @@ }, { "cell_type": "markdown", - "id": "20525170", + "id": "dd21c0e4", "metadata": { "editable": true }, @@ -2025,7 +2027,7 @@ }, { "cell_type": "markdown", - "id": "d56b0128", + "id": "c4491448", "metadata": { "editable": true }, @@ -2035,7 +2037,7 @@ }, { "cell_type": "markdown", - "id": "69b71d65", + "id": "1107e41e", "metadata": { "editable": true }, @@ -2049,7 +2051,7 @@ }, { "cell_type": "markdown", - "id": "5d3766b4", + "id": "29262250", "metadata": { "editable": true }, @@ -2059,7 +2061,7 @@ }, { "cell_type": "markdown", - "id": "642c34cb", + "id": "1dc2881a", "metadata": { "editable": true }, @@ -2073,7 +2075,7 @@ }, { "cell_type": "markdown", - "id": "b7dacac3", + "id": "a6340da5", "metadata": { "editable": true }, @@ -2088,7 +2090,7 @@ }, { "cell_type": "markdown", - "id": "503a6419", + "id": "73719a1f", "metadata": { "editable": true }, @@ -2105,7 +2107,7 @@ }, { "cell_type": "markdown", - "id": "cacde55b", + "id": "525c3e51", "metadata": { "editable": true }, @@ -2117,7 +2119,7 @@ }, { "cell_type": "markdown", - "id": "217cb23e", + "id": "ae118f5c", "metadata": { "editable": true }, @@ -2131,7 +2133,7 @@ }, { "cell_type": "markdown", - "id": "191d2ce2", + "id": "81f76f58", "metadata": { "editable": true }, @@ -2146,7 +2148,7 @@ }, { "cell_type": "markdown", - "id": "cc0fdf90", + "id": "233e197e", "metadata": { "editable": true }, @@ -2158,7 +2160,7 @@ }, { "cell_type": "markdown", - "id": "4fe9484e", + "id": "a6822f0e", "metadata": { "editable": true }, @@ -2169,7 +2171,7 @@ }, { "cell_type": "markdown", - "id": "5ed167ec", + "id": "abfd1571", "metadata": { "editable": true }, @@ -2197,7 +2199,7 @@ }, { "cell_type": "markdown", - "id": "9f0db830", + "id": "77cf9cd3", "metadata": { "editable": true }, diff --git a/doc/src/week38/week38.do.txt b/doc/src/week38/week38.do.txt index 692b68f7a..bf9457ca1 100644 --- a/doc/src/week38/week38.do.txt +++ b/doc/src/week38/week38.do.txt @@ -354,7 +354,9 @@ in the data set (see the full example below). One simple way to get a discrete output is to have sign functions that map the output of a linear regressor to values $\{0,1\}$, $f(s_i)=sign(s_i)=1$ if $s_i\ge 0$ and 0 if otherwise. -We will encounter this model in our first demonstration of neural networks. Historically it is called the ``perceptron" model in the machine learning +We will encounter this model in our first demonstration of neural networks. + +Historically it is called the _perceptron_ model in the machine learning literature. This model is extremely simple. However, in many cases it is more favorable to use a ``soft" classifier that outputs the probability of a given category. This leads us to the logistic function.