From a7b6575e84f60e6038bcb9a9ea31f1b42ab54a2c Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Mon, 22 Sep 2025 06:33:12 +0200 Subject: [PATCH] typo --- doc/pub/week39/html/week39-reveal.html | 5 +- doc/pub/week39/html/week39-solarized.html | 5 +- doc/pub/week39/html/week39.html | 5 +- doc/pub/week39/ipynb/ipynb-week39-src.tar.gz | Bin 1022755 -> 1022755 bytes doc/pub/week39/ipynb/week39.ipynb | 244 +++++++++---------- doc/src/week39/week39.do.txt | 3 +- 6 files changed, 130 insertions(+), 132 deletions(-) diff --git a/doc/pub/week39/html/week39-reveal.html b/doc/pub/week39/html/week39-reveal.html index 55a302841..4acda1946 100644 --- a/doc/pub/week39/html/week39-reveal.html +++ b/doc/pub/week39/html/week39-reveal.html @@ -433,9 +433,6 @@ $$ $$

 
- -Note that in order to derive these equations we have assumed we can replace the unknown function \( {\bm f} \) with the target/output data \( \boldsymbol{y} \). -

The three terms represent the square of the bias of the learning method, which can be thought of as the error caused by the simplifying assumptions built into the method. The second term represents the @@ -467,6 +464,8 @@ $$

 

that is the rewriting in terms of the so-called bias, the variance of the model \( \boldsymbol{\tilde{y}} \) and the variance of \( \boldsymbol{\epsilon} \).

+ +Note that in order to derive these equations we have assumed we can replace the unknown function \( \boldsymbol{f} \) with the target/output data \( \boldsymbol{y} \).
diff --git a/doc/pub/week39/html/week39-solarized.html b/doc/pub/week39/html/week39-solarized.html index 8dfbbcf83..d85799a56 100644 --- a/doc/pub/week39/html/week39-solarized.html +++ b/doc/pub/week39/html/week39-solarized.html @@ -454,9 +454,6 @@ $$ \mathbb{E}\left[(\boldsymbol{y}-\boldsymbol{\tilde{y}})^2\right]=\frac{1}{n}\sum_i(f_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2+\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2+\sigma^2. $$ - -Note that in order to derive these equations we have assumed we can replace the unknown function \( {\bm f} \) with the target/output data \( \boldsymbol{y} \). -

The three terms represent the square of the bias of the learning method, which can be thought of as the error caused by the simplifying assumptions built into the method. The second term represents the @@ -483,6 +480,8 @@ $$

that is the rewriting in terms of the so-called bias, the variance of the model \( \boldsymbol{\tilde{y}} \) and the variance of \( \boldsymbol{\epsilon} \).

+Note that in order to derive these equations we have assumed we can replace the unknown function \( \boldsymbol{f} \) with the target/output data \( \boldsymbol{y} \). +









A way to Read the Bias-Variance Tradeoff

diff --git a/doc/pub/week39/html/week39.html b/doc/pub/week39/html/week39.html index b5790c23a..5eb00e6a9 100644 --- a/doc/pub/week39/html/week39.html +++ b/doc/pub/week39/html/week39.html @@ -531,9 +531,6 @@ $$ \mathbb{E}\left[(\boldsymbol{y}-\boldsymbol{\tilde{y}})^2\right]=\frac{1}{n}\sum_i(f_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2+\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2+\sigma^2. $$ - -Note that in order to derive these equations we have assumed we can replace the unknown function \( {\bm f} \) with the target/output data \( \boldsymbol{y} \). -

The three terms represent the square of the bias of the learning method, which can be thought of as the error caused by the simplifying assumptions built into the method. The second term represents the @@ -560,6 +557,8 @@ $$

that is the rewriting in terms of the so-called bias, the variance of the model \( \boldsymbol{\tilde{y}} \) and the variance of \( \boldsymbol{\epsilon} \).

+Note that in order to derive these equations we have assumed we can replace the unknown function \( \boldsymbol{f} \) with the target/output data \( \boldsymbol{y} \). +









A way to Read the Bias-Variance Tradeoff

diff --git a/doc/pub/week39/ipynb/ipynb-week39-src.tar.gz b/doc/pub/week39/ipynb/ipynb-week39-src.tar.gz index 12d7f28ad1d1e9111015fe8f3ff1da9c14586b38..2ab651ba689bc2d56018e4a0c69542e59526b486 100644 GIT binary patch delta 62 zcmWN_IT3&`002SWBm4>&oJ1K7#Z^e4j0WNZN3i9l98-?$S16A6L`tcomPT6nr;{MP N3^K|jvn&tmc7Gkl4?q9_ delta 62 zcmWN_IT3&`002SWBm4>&oWvW&RY;(W2BHH;z?PeGOgXZjp?IGIDW#HH8foR9PJ;9@ N$S9M{vfQlO^#M1n55fQd diff --git a/doc/pub/week39/ipynb/week39.ipynb b/doc/pub/week39/ipynb/week39.ipynb index 6ed847528..fea62219b 100644 --- a/doc/pub/week39/ipynb/week39.ipynb +++ b/doc/pub/week39/ipynb/week39.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "7bf071b1", + "id": "24abf018", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "fca6a6fc", + "id": "ed320440", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "76146bb5", + "id": "bed7f6b2", "metadata": { "editable": true }, @@ -45,7 +45,7 @@ }, { "cell_type": "markdown", - "id": "270056a4", + "id": "c1ffcc13", "metadata": { "editable": true }, @@ -64,7 +64,7 @@ }, { "cell_type": "markdown", - "id": "f8bb5fa3", + "id": "46137c4b", "metadata": { "editable": true }, @@ -81,7 +81,7 @@ }, { "cell_type": "markdown", - "id": "042794b6", + "id": "c6edc330", "metadata": { "editable": true }, @@ -103,7 +103,7 @@ }, { "cell_type": "markdown", - "id": "0716244e", + "id": "ef27169f", "metadata": { "editable": true }, @@ -113,7 +113,7 @@ }, { "cell_type": "markdown", - "id": "7f56b4b3", + "id": "5bd4d2b0", "metadata": { "editable": true }, @@ -140,7 +140,7 @@ }, { "cell_type": "markdown", - "id": "23a958ae", + "id": "1ae30629", "metadata": { "editable": true }, @@ -166,7 +166,7 @@ }, { "cell_type": "markdown", - "id": "ef846ba4", + "id": "500c4cb6", "metadata": { "editable": true }, @@ -183,7 +183,7 @@ }, { "cell_type": "markdown", - "id": "f07eb989", + "id": "4c2b3d83", "metadata": { "editable": true }, @@ -203,7 +203,7 @@ }, { "cell_type": "markdown", - "id": "168c7f44", + "id": "1a925456", "metadata": { "editable": true }, @@ -232,7 +232,7 @@ }, { "cell_type": "markdown", - "id": "91a005b6", + "id": "4f4056ff", "metadata": { "editable": true }, @@ -255,7 +255,7 @@ }, { "cell_type": "markdown", - "id": "81a1f57f", + "id": "01113cba", "metadata": { "editable": true }, @@ -273,7 +273,7 @@ }, { "cell_type": "markdown", - "id": "4f9283e6", + "id": "d3ab456a", "metadata": { "editable": true }, @@ -285,7 +285,7 @@ }, { "cell_type": "markdown", - "id": "bd2e743f", + "id": "03ea9a2b", "metadata": { "editable": true }, @@ -302,7 +302,7 @@ }, { "cell_type": "markdown", - "id": "f5df29d7", + "id": "8d8cdec2", "metadata": { "editable": true }, @@ -314,7 +314,7 @@ }, { "cell_type": "markdown", - "id": "21a55b99", + "id": "ef09ae6f", "metadata": { "editable": true }, @@ -324,7 +324,7 @@ }, { "cell_type": "markdown", - "id": "d49b329d", + "id": "a706d82a", "metadata": { "editable": true }, @@ -336,13 +336,11 @@ }, { "cell_type": "markdown", - "id": "0e7e1d13", + "id": "f9e0d15d", "metadata": { "editable": true }, "source": [ - "**Note that in order to derive these equations we have assumed we can replace the unknown function ${\\bm f}$ with the target/output data $\\boldsymbol{y}$.**\n", - "\n", "The three terms represent the square of the bias of the learning\n", "method, which can be thought of as the error caused by the simplifying\n", "assumptions built into the method. The second term represents the\n", @@ -355,7 +353,7 @@ }, { "cell_type": "markdown", - "id": "febbf88b", + "id": "0a4056b5", "metadata": { "editable": true }, @@ -367,7 +365,7 @@ }, { "cell_type": "markdown", - "id": "14a8720f", + "id": "dc20fce8", "metadata": { "editable": true }, @@ -377,7 +375,7 @@ }, { "cell_type": "markdown", - "id": "8f0752e5", + "id": "08fcc960", "metadata": { "editable": true }, @@ -389,7 +387,7 @@ }, { "cell_type": "markdown", - "id": "ef13d53b", + "id": "50947ecf", "metadata": { "editable": true }, @@ -399,7 +397,7 @@ }, { "cell_type": "markdown", - "id": "f60bc886", + "id": "57039525", "metadata": { "editable": true }, @@ -411,17 +409,19 @@ }, { "cell_type": "markdown", - "id": "549b0b58", + "id": "6bc16e70", "metadata": { "editable": true }, "source": [ - "that is the rewriting in terms of the so-called bias, the variance of the model $\\boldsymbol{\\tilde{y}}$ and the variance of $\\boldsymbol{\\epsilon}$." + "that is the rewriting in terms of the so-called bias, the variance of the model $\\boldsymbol{\\tilde{y}}$ and the variance of $\\boldsymbol{\\epsilon}$.\n", + "\n", + "**Note that in order to derive these equations we have assumed we can replace the unknown function $\\boldsymbol{f}$ with the target/output data $\\boldsymbol{y}$.**" ] }, { "cell_type": "markdown", - "id": "ccc22f3e", + "id": "4b1d24c0", "metadata": { "editable": true }, @@ -437,7 +437,7 @@ }, { "cell_type": "markdown", - "id": "96e1d82b", + "id": "5bfcc00f", "metadata": { "editable": true }, @@ -448,7 +448,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "543cf710", + "id": "96dac6f5", "metadata": { "collapsed": false, "editable": true @@ -507,7 +507,7 @@ }, { "cell_type": "markdown", - "id": "aa0481ce", + "id": "6f7e475d", "metadata": { "editable": true }, @@ -545,7 +545,7 @@ }, { "cell_type": "markdown", - "id": "423b11dc", + "id": "d79bd003", "metadata": { "editable": true }, @@ -572,7 +572,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "839908f3", + "id": "35a26b1a", "metadata": { "collapsed": false, "editable": true @@ -634,7 +634,7 @@ }, { "cell_type": "markdown", - "id": "cf7ef117", + "id": "f33d8525", "metadata": { "editable": true }, @@ -659,7 +659,7 @@ }, { "cell_type": "markdown", - "id": "5a546e71", + "id": "def18e0b", "metadata": { "editable": true }, @@ -687,7 +687,7 @@ }, { "cell_type": "markdown", - "id": "312213f3", + "id": "86185e19", "metadata": { "editable": true }, @@ -700,7 +700,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "e1e75799", + "id": "837eb6db", "metadata": { "collapsed": false, "editable": true @@ -800,7 +800,7 @@ }, { "cell_type": "markdown", - "id": "82b6d7b2", + "id": "246a6330", "metadata": { "editable": true }, @@ -811,7 +811,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "680e8f94", + "id": "d8b02f78", "metadata": { "collapsed": false, "editable": true @@ -900,7 +900,7 @@ }, { "cell_type": "markdown", - "id": "358eb02e", + "id": "a70eda65", "metadata": { "editable": true }, @@ -910,7 +910,7 @@ }, { "cell_type": "markdown", - "id": "ddf9682b", + "id": "89d0a804", "metadata": { "editable": true }, @@ -923,7 +923,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "36bc2e16", + "id": "befb782e", "metadata": { "collapsed": false, "editable": true @@ -1001,7 +1001,7 @@ }, { "cell_type": "markdown", - "id": "b89e8c5f", + "id": "f279a89f", "metadata": { "editable": true }, @@ -1023,7 +1023,7 @@ }, { "cell_type": "markdown", - "id": "c01146fe", + "id": "de1348db", "metadata": { "editable": true }, @@ -1049,7 +1049,7 @@ }, { "cell_type": "markdown", - "id": "36f48ba3", + "id": "671bc801", "metadata": { "editable": true }, @@ -1073,7 +1073,7 @@ }, { "cell_type": "markdown", - "id": "abb8ec9f", + "id": "e91cbb81", "metadata": { "editable": true }, @@ -1098,7 +1098,7 @@ }, { "cell_type": "markdown", - "id": "89bd7958", + "id": "dfc053a0", "metadata": { "editable": true }, @@ -1110,7 +1110,7 @@ }, { "cell_type": "markdown", - "id": "a15d7726", + "id": "4282dc50", "metadata": { "editable": true }, @@ -1128,7 +1128,7 @@ }, { "cell_type": "markdown", - "id": "dae960a6", + "id": "2f025673", "metadata": { "editable": true }, @@ -1146,7 +1146,7 @@ }, { "cell_type": "markdown", - "id": "a6a527c7", + "id": "5dfdb4c4", "metadata": { "editable": true }, @@ -1157,7 +1157,7 @@ }, { "cell_type": "markdown", - "id": "bcbc1606", + "id": "2f6af246", "metadata": { "editable": true }, @@ -1184,7 +1184,7 @@ }, { "cell_type": "markdown", - "id": "44868ab3", + "id": "399a5233", "metadata": { "editable": true }, @@ -1197,7 +1197,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "8333c751", + "id": "bfda37ae", "metadata": { "collapsed": false, "editable": true @@ -1262,7 +1262,7 @@ }, { "cell_type": "markdown", - "id": "8a5c98c3", + "id": "b4b3f084", "metadata": { "editable": true }, @@ -1275,7 +1275,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "1d60fc67", + "id": "ce3ceda9", "metadata": { "collapsed": false, "editable": true @@ -1294,7 +1294,7 @@ }, { "cell_type": "markdown", - "id": "73622cff", + "id": "6a2be8a1", "metadata": { "editable": true }, @@ -1305,7 +1305,7 @@ }, { "cell_type": "markdown", - "id": "51977624", + "id": "d749d39b", "metadata": { "editable": true }, @@ -1317,7 +1317,7 @@ }, { "cell_type": "markdown", - "id": "d2575f3a", + "id": "6ea5c8f3", "metadata": { "editable": true }, @@ -1336,7 +1336,7 @@ }, { "cell_type": "markdown", - "id": "1c0c2cea", + "id": "925afdd2", "metadata": { "editable": true }, @@ -1358,7 +1358,7 @@ }, { "cell_type": "markdown", - "id": "b11b7129", + "id": "901107a1", "metadata": { "editable": true }, @@ -1370,7 +1370,7 @@ }, { "cell_type": "markdown", - "id": "afc423c5", + "id": "8974b273", "metadata": { "editable": true }, @@ -1380,7 +1380,7 @@ }, { "cell_type": "markdown", - "id": "64d8c6ce", + "id": "54f99567", "metadata": { "editable": true }, @@ -1393,7 +1393,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "322c074c", + "id": "cd0ca302", "metadata": { "collapsed": false, "editable": true @@ -1458,7 +1458,7 @@ }, { "cell_type": "markdown", - "id": "92c29cc2", + "id": "eb99abc1", "metadata": { "editable": true }, @@ -1470,7 +1470,7 @@ }, { "cell_type": "markdown", - "id": "b955f585", + "id": "2168208b", "metadata": { "editable": true }, @@ -1485,7 +1485,7 @@ }, { "cell_type": "markdown", - "id": "a63f345b", + "id": "69b20587", "metadata": { "editable": true }, @@ -1497,7 +1497,7 @@ }, { "cell_type": "markdown", - "id": "fcdc9de0", + "id": "0e405775", "metadata": { "editable": true }, @@ -1509,7 +1509,7 @@ }, { "cell_type": "markdown", - "id": "64f6e6be", + "id": "4d499554", "metadata": { "editable": true }, @@ -1526,7 +1526,7 @@ }, { "cell_type": "markdown", - "id": "f64bf4a3", + "id": "f514bdf0", "metadata": { "editable": true }, @@ -1540,7 +1540,7 @@ }, { "cell_type": "markdown", - "id": "553be466", + "id": "cef661b9", "metadata": { "editable": true }, @@ -1550,7 +1550,7 @@ }, { "cell_type": "markdown", - "id": "4ba87d01", + "id": "26fe55f0", "metadata": { "editable": true }, @@ -1562,7 +1562,7 @@ }, { "cell_type": "markdown", - "id": "cfe8c506", + "id": "87dfcfc8", "metadata": { "editable": true }, @@ -1574,7 +1574,7 @@ }, { "cell_type": "markdown", - "id": "8e9fdc31", + "id": "6bd311af", "metadata": { "editable": true }, @@ -1586,7 +1586,7 @@ }, { "cell_type": "markdown", - "id": "ac0dfb2b", + "id": "b667f9c8", "metadata": { "editable": true }, @@ -1597,7 +1597,7 @@ }, { "cell_type": "markdown", - "id": "675e527b", + "id": "c18601fe", "metadata": { "editable": true }, @@ -1609,7 +1609,7 @@ }, { "cell_type": "markdown", - "id": "6a174fbd", + "id": "bd809e78", "metadata": { "editable": true }, @@ -1620,7 +1620,7 @@ }, { "cell_type": "markdown", - "id": "caf218f1", + "id": "cfe1139a", "metadata": { "editable": true }, @@ -1636,7 +1636,7 @@ }, { "cell_type": "markdown", - "id": "16165273", + "id": "c34e2ce7", "metadata": { "editable": true }, @@ -1648,7 +1648,7 @@ }, { "cell_type": "markdown", - "id": "d0e46c20", + "id": "8b5e67b7", "metadata": { "editable": true }, @@ -1658,7 +1658,7 @@ }, { "cell_type": "markdown", - "id": "8486356a", + "id": "95fa1261", "metadata": { "editable": true }, @@ -1670,7 +1670,7 @@ }, { "cell_type": "markdown", - "id": "dd68b2a8", + "id": "475c0e60", "metadata": { "editable": true }, @@ -1685,7 +1685,7 @@ }, { "cell_type": "markdown", - "id": "29a5a406", + "id": "1fcc2920", "metadata": { "editable": true }, @@ -1697,7 +1697,7 @@ }, { "cell_type": "markdown", - "id": "49951491", + "id": "2b8ca280", "metadata": { "editable": true }, @@ -1708,7 +1708,7 @@ }, { "cell_type": "markdown", - "id": "afb8c5ce", + "id": "c13c8084", "metadata": { "editable": true }, @@ -1720,7 +1720,7 @@ }, { "cell_type": "markdown", - "id": "23597d68", + "id": "28c175f9", "metadata": { "editable": true }, @@ -1732,7 +1732,7 @@ }, { "cell_type": "markdown", - "id": "f0875957", + "id": "822f9d8f", "metadata": { "editable": true }, @@ -1744,7 +1744,7 @@ }, { "cell_type": "markdown", - "id": "57b5907d", + "id": "b7ef7713", "metadata": { "editable": true }, @@ -1754,7 +1754,7 @@ }, { "cell_type": "markdown", - "id": "045c215d", + "id": "e0d677b0", "metadata": { "editable": true }, @@ -1766,7 +1766,7 @@ }, { "cell_type": "markdown", - "id": "e12783ef", + "id": "1bd3a1e4", "metadata": { "editable": true }, @@ -1780,7 +1780,7 @@ }, { "cell_type": "markdown", - "id": "4187ff04", + "id": "2229abec", "metadata": { "editable": true }, @@ -1792,7 +1792,7 @@ }, { "cell_type": "markdown", - "id": "0654d024", + "id": "20185c58", "metadata": { "editable": true }, @@ -1802,7 +1802,7 @@ }, { "cell_type": "markdown", - "id": "d54ab2d6", + "id": "9bca0545", "metadata": { "editable": true }, @@ -1814,7 +1814,7 @@ }, { "cell_type": "markdown", - "id": "983a58a6", + "id": "b7a80eb4", "metadata": { "editable": true }, @@ -1824,7 +1824,7 @@ }, { "cell_type": "markdown", - "id": "430c828c", + "id": "d9d417b0", "metadata": { "editable": true }, @@ -1836,7 +1836,7 @@ }, { "cell_type": "markdown", - "id": "c451eb7f", + "id": "3405d5d0", "metadata": { "editable": true }, @@ -1847,7 +1847,7 @@ }, { "cell_type": "markdown", - "id": "7e453b99", + "id": "b1fe4b02", "metadata": { "editable": true }, @@ -1870,7 +1870,7 @@ }, { "cell_type": "markdown", - "id": "0e10f377", + "id": "fab2b45c", "metadata": { "editable": true }, @@ -1882,7 +1882,7 @@ }, { "cell_type": "markdown", - "id": "dfce6eee", + "id": "599b6e62", "metadata": { "editable": true }, @@ -1892,7 +1892,7 @@ }, { "cell_type": "markdown", - "id": "890dfde2", + "id": "2a90fb4f", "metadata": { "editable": true }, @@ -1904,7 +1904,7 @@ }, { "cell_type": "markdown", - "id": "ae64124a", + "id": "64b0f466", "metadata": { "editable": true }, @@ -1921,7 +1921,7 @@ }, { "cell_type": "markdown", - "id": "8f99fa2a", + "id": "e82c6a01", "metadata": { "editable": true }, @@ -1940,7 +1940,7 @@ }, { "cell_type": "markdown", - "id": "e4e3f038", + "id": "3da5eca8", "metadata": { "editable": true }, @@ -1957,7 +1957,7 @@ }, { "cell_type": "markdown", - "id": "ea2b411d", + "id": "62626aea", "metadata": { "editable": true }, @@ -1972,7 +1972,7 @@ }, { "cell_type": "markdown", - "id": "7064eec5", + "id": "b54b2119", "metadata": { "editable": true }, @@ -1982,7 +1982,7 @@ }, { "cell_type": "markdown", - "id": "1abfa3d5", + "id": "cc6c3444", "metadata": { "editable": true }, @@ -1998,7 +1998,7 @@ }, { "cell_type": "markdown", - "id": "d642ddcc", + "id": "fd89c356", "metadata": { "editable": true }, @@ -2010,7 +2010,7 @@ }, { "cell_type": "markdown", - "id": "25ee959a", + "id": "dc825324", "metadata": { "editable": true }, @@ -2021,7 +2021,7 @@ }, { "cell_type": "markdown", - "id": "152d2931", + "id": "cb6495ee", "metadata": { "editable": true }, @@ -2033,7 +2033,7 @@ }, { "cell_type": "markdown", - "id": "d30eccfc", + "id": "3416b1d9", "metadata": { "editable": true }, @@ -2043,7 +2043,7 @@ }, { "cell_type": "markdown", - "id": "0c633584", + "id": "0c251c1b", "metadata": { "editable": true }, @@ -2057,7 +2057,7 @@ }, { "cell_type": "markdown", - "id": "101b4179", + "id": "1284b5bd", "metadata": { "editable": true }, @@ -2069,7 +2069,7 @@ }, { "cell_type": "markdown", - "id": "d65e281a", + "id": "853bad30", "metadata": { "editable": true }, @@ -2079,7 +2079,7 @@ }, { "cell_type": "markdown", - "id": "291c125e", + "id": "bf24f7e5", "metadata": { "editable": true }, @@ -2091,7 +2091,7 @@ }, { "cell_type": "markdown", - "id": "1cf1a4b3", + "id": "bcbb9dd2", "metadata": { "editable": true }, @@ -2103,7 +2103,7 @@ }, { "cell_type": "markdown", - "id": "0cf4aba0", + "id": "29afa420", "metadata": { "editable": true }, @@ -2116,7 +2116,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "12ca8ea5", + "id": "e226ab3b", "metadata": { "collapsed": false, "editable": true @@ -2259,7 +2259,7 @@ }, { "cell_type": "markdown", - "id": "affe5fa5", + "id": "0981d00d", "metadata": { "editable": true }, @@ -2278,7 +2278,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "4ffe7b86", + "id": "297a1581", "metadata": { "collapsed": false, "editable": true @@ -2321,7 +2321,7 @@ }, { "cell_type": "markdown", - "id": "dcc7f8a2", + "id": "b12732fb", "metadata": { "editable": true }, @@ -2335,7 +2335,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "75e4cd7a", + "id": "6bf79dfe", "metadata": { "collapsed": false, "editable": true diff --git a/doc/src/week39/week39.do.txt b/doc/src/week39/week39.do.txt index efb5a0855..0fe8df414 100644 --- a/doc/src/week39/week39.do.txt +++ b/doc/src/week39/week39.do.txt @@ -199,7 +199,7 @@ We can rewrite this as \] !et -_Note that in order to derive these equations we have assumed we can replace the unknown function ${\bm f}$ with the target/output data $\bm{y}$._ + The three terms represent the square of the bias of the learning method, which can be thought of as the error caused by the simplifying @@ -228,6 +228,7 @@ which, using the abovementioned expectation values can be rewritten as !et that is the rewriting in terms of the so-called bias, the variance of the model $\bm{\tilde{y}}$ and the variance of $\bm{\epsilon}$. +_Note that in order to derive these equations we have assumed we can replace the unknown function $\bm{f}$ with the target/output data $\bm{y}$._ !split ===== A way to Read the Bias-Variance Tradeoff =====