diff --git a/doc/pub/week37/html/._week37-bs017.html b/doc/pub/week37/html/._week37-bs017.html index eb087cb9c..85840d3d6 100644 --- a/doc/pub/week37/html/._week37-bs017.html +++ b/doc/pub/week37/html/._week37-bs017.html @@ -310,13 +310,13 @@ constants terms that do not depend on \( \beta \), we have
$$ -C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\boldsymbol{\beta}\vert\vert_1, +C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\boldsymbol{\beta}\vert\vert_1, $$and replacing \( 1/\tau \) with \( \lambda \) we have
$$ -C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, +C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, $$which is our Lasso cost function!
diff --git a/doc/pub/week37/html/week37-reveal.html b/doc/pub/week37/html/week37-reveal.html index ed598f6d3..8507903d8 100644 --- a/doc/pub/week37/html/week37-reveal.html +++ b/doc/pub/week37/html/week37-reveal.html @@ -652,7 +652,7 @@ constants terms that do not depend on \( \beta \), we have
$$
-C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\boldsymbol{\beta}\vert\vert_1,
+C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\boldsymbol{\beta}\vert\vert_1,
$$
@@ -660,7 +660,7 @@ $$
$$
-C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1,
+C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1,
$$
diff --git a/doc/pub/week37/html/week37-solarized.html b/doc/pub/week37/html/week37-solarized.html
index 5a13d9675..8ffb0cd00 100644
--- a/doc/pub/week37/html/week37-solarized.html
+++ b/doc/pub/week37/html/week37-solarized.html
@@ -636,13 +636,13 @@ constants terms that do not depend on \( \beta \), we have
and replacing \( 1/\tau \) with \( \lambda \) we have
$$ -C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, +C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, $$which is our Lasso cost function!
diff --git a/doc/pub/week37/html/week37.html b/doc/pub/week37/html/week37.html index 93e88c43a..10a79eecd 100644 --- a/doc/pub/week37/html/week37.html +++ b/doc/pub/week37/html/week37.html @@ -713,13 +713,13 @@ constants terms that do not depend on \( \beta \), we have $$ -C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\boldsymbol{\beta}\vert\vert_1, +C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\boldsymbol{\beta}\vert\vert_1, $$and replacing \( 1/\tau \) with \( \lambda \) we have
$$ -C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, +C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, $$which is our Lasso cost function!
diff --git a/doc/pub/week37/ipynb/ipynb-week37-src.tar.gz b/doc/pub/week37/ipynb/ipynb-week37-src.tar.gz index 5a8c788c4..f5a3d4866 100644 Binary files a/doc/pub/week37/ipynb/ipynb-week37-src.tar.gz and b/doc/pub/week37/ipynb/ipynb-week37-src.tar.gz differ diff --git a/doc/pub/week37/ipynb/week37.ipynb b/doc/pub/week37/ipynb/week37.ipynb index c24beccbd..2281efc10 100644 --- a/doc/pub/week37/ipynb/week37.ipynb +++ b/doc/pub/week37/ipynb/week37.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "7c0ddab1", + "id": "1abc3180", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "6c033bf4", + "id": "c1daea13", "metadata": { "editable": true }, @@ -29,7 +29,7 @@ }, { "cell_type": "markdown", - "id": "e4cd5fa1", + "id": "44f3b13a", "metadata": { "editable": true }, @@ -59,7 +59,7 @@ }, { "cell_type": "markdown", - "id": "bf80a276", + "id": "9bfba57b", "metadata": { "editable": true }, @@ -81,7 +81,7 @@ }, { "cell_type": "markdown", - "id": "0e1f0a90", + "id": "bb5184fb", "metadata": { "editable": true }, @@ -91,7 +91,7 @@ }, { "cell_type": "markdown", - "id": "1b290d64", + "id": "fe16ef77", "metadata": { "editable": true }, @@ -114,7 +114,7 @@ }, { "cell_type": "markdown", - "id": "ceed3a82", + "id": "16407da5", "metadata": { "editable": true }, @@ -126,7 +126,7 @@ }, { "cell_type": "markdown", - "id": "1d7e8f98", + "id": "7259f755", "metadata": { "editable": true }, @@ -139,7 +139,7 @@ }, { "cell_type": "markdown", - "id": "58722d7d", + "id": "8197a563", "metadata": { "editable": true }, @@ -151,7 +151,7 @@ }, { "cell_type": "markdown", - "id": "45120edc", + "id": "55178ede", "metadata": { "editable": true }, @@ -163,7 +163,7 @@ }, { "cell_type": "markdown", - "id": "4f3b680a", + "id": "8df6cfdc", "metadata": { "editable": true }, @@ -175,7 +175,7 @@ }, { "cell_type": "markdown", - "id": "08489797", + "id": "725df6b0", "metadata": { "editable": true }, @@ -186,7 +186,7 @@ }, { "cell_type": "markdown", - "id": "a1c81f06", + "id": "32b0c74a", "metadata": { "editable": true }, @@ -198,7 +198,7 @@ }, { "cell_type": "markdown", - "id": "4e092776", + "id": "40512d38", "metadata": { "editable": true }, @@ -209,7 +209,7 @@ }, { "cell_type": "markdown", - "id": "79e5358a", + "id": "1867bac9", "metadata": { "editable": true }, @@ -221,7 +221,7 @@ }, { "cell_type": "markdown", - "id": "e5a4f865", + "id": "d5d17026", "metadata": { "editable": true }, @@ -231,7 +231,7 @@ }, { "cell_type": "markdown", - "id": "10b81ba7", + "id": "70980886", "metadata": { "editable": true }, @@ -262,7 +262,7 @@ }, { "cell_type": "markdown", - "id": "3349cb27", + "id": "e2f951bb", "metadata": { "editable": true }, @@ -274,7 +274,7 @@ }, { "cell_type": "markdown", - "id": "0fd1502e", + "id": "85dbdab8", "metadata": { "editable": true }, @@ -286,7 +286,7 @@ }, { "cell_type": "markdown", - "id": "43cba0e8", + "id": "bcfb3f71", "metadata": { "editable": true }, @@ -296,7 +296,7 @@ }, { "cell_type": "markdown", - "id": "d6f4e7dc", + "id": "e59b8708", "metadata": { "editable": true }, @@ -308,7 +308,7 @@ }, { "cell_type": "markdown", - "id": "50c2d673", + "id": "80d942c3", "metadata": { "editable": true }, @@ -318,7 +318,7 @@ }, { "cell_type": "markdown", - "id": "30315a10", + "id": "45e5df6c", "metadata": { "editable": true }, @@ -330,7 +330,7 @@ }, { "cell_type": "markdown", - "id": "fd8cdf51", + "id": "0f759ec1", "metadata": { "editable": true }, @@ -340,7 +340,7 @@ }, { "cell_type": "markdown", - "id": "7323296b", + "id": "18e4dc4b", "metadata": { "editable": true }, @@ -352,7 +352,7 @@ }, { "cell_type": "markdown", - "id": "e21334ab", + "id": "b50c9cf8", "metadata": { "editable": true }, @@ -362,7 +362,7 @@ }, { "cell_type": "markdown", - "id": "82974124", + "id": "9c043888", "metadata": { "editable": true }, @@ -382,7 +382,7 @@ }, { "cell_type": "markdown", - "id": "e053e43c", + "id": "936f4f77", "metadata": { "editable": true }, @@ -394,7 +394,7 @@ }, { "cell_type": "markdown", - "id": "94098e13", + "id": "306274ee", "metadata": { "editable": true }, @@ -404,7 +404,7 @@ }, { "cell_type": "markdown", - "id": "27625b1f", + "id": "581c5f93", "metadata": { "editable": true }, @@ -416,7 +416,7 @@ }, { "cell_type": "markdown", - "id": "8f3cc8b4", + "id": "40a1da92", "metadata": { "editable": true }, @@ -428,7 +428,7 @@ }, { "cell_type": "markdown", - "id": "d7d5464d", + "id": "f030b59d", "metadata": { "editable": true }, @@ -440,7 +440,7 @@ }, { "cell_type": "markdown", - "id": "c292afee", + "id": "1f7cab98", "metadata": { "editable": true }, @@ -452,7 +452,7 @@ }, { "cell_type": "markdown", - "id": "cdbbd444", + "id": "e1446472", "metadata": { "editable": true }, @@ -464,7 +464,7 @@ }, { "cell_type": "markdown", - "id": "100a8014", + "id": "92ddfccf", "metadata": { "editable": true }, @@ -476,7 +476,7 @@ }, { "cell_type": "markdown", - "id": "d2e40c4d", + "id": "e91caeaf", "metadata": { "editable": true }, @@ -488,7 +488,7 @@ }, { "cell_type": "markdown", - "id": "1e48456e", + "id": "5c78d187", "metadata": { "editable": true }, @@ -500,7 +500,7 @@ }, { "cell_type": "markdown", - "id": "38ced5b6", + "id": "ed3da21c", "metadata": { "editable": true }, @@ -510,7 +510,7 @@ }, { "cell_type": "markdown", - "id": "1163c07b", + "id": "3e1b1c5b", "metadata": { "editable": true }, @@ -522,7 +522,7 @@ }, { "cell_type": "markdown", - "id": "becc087f", + "id": "e78923b1", "metadata": { "editable": true }, @@ -532,7 +532,7 @@ }, { "cell_type": "markdown", - "id": "5ca2b09d", + "id": "e1b17e7e", "metadata": { "editable": true }, @@ -551,7 +551,7 @@ }, { "cell_type": "markdown", - "id": "6572c77d", + "id": "77ece18e", "metadata": { "editable": true }, @@ -572,7 +572,7 @@ }, { "cell_type": "markdown", - "id": "2a3f65e5", + "id": "d327d5a7", "metadata": { "editable": true }, @@ -584,7 +584,7 @@ }, { "cell_type": "markdown", - "id": "2d264f77", + "id": "7102a93d", "metadata": { "editable": true }, @@ -595,7 +595,7 @@ }, { "cell_type": "markdown", - "id": "06b8a13c", + "id": "27bfcb69", "metadata": { "editable": true }, @@ -608,7 +608,7 @@ }, { "cell_type": "markdown", - "id": "6d958ed3", + "id": "6278ac53", "metadata": { "editable": true }, @@ -620,7 +620,7 @@ }, { "cell_type": "markdown", - "id": "6330f3f2", + "id": "3897e162", "metadata": { "editable": true }, @@ -630,7 +630,7 @@ }, { "cell_type": "markdown", - "id": "ed6a9f67", + "id": "6e3ff648", "metadata": { "editable": true }, @@ -642,7 +642,7 @@ }, { "cell_type": "markdown", - "id": "de42ab8a", + "id": "176c5f9e", "metadata": { "editable": true }, @@ -652,7 +652,7 @@ }, { "cell_type": "markdown", - "id": "4f36b126", + "id": "c5af703d", "metadata": { "editable": true }, @@ -664,7 +664,7 @@ }, { "cell_type": "markdown", - "id": "0a7eef00", + "id": "948dd53c", "metadata": { "editable": true }, @@ -674,7 +674,7 @@ }, { "cell_type": "markdown", - "id": "29940f94", + "id": "7ebb1faf", "metadata": { "editable": true }, @@ -688,7 +688,7 @@ }, { "cell_type": "markdown", - "id": "f2204679", + "id": "91c5fa5e", "metadata": { "editable": true }, @@ -700,7 +700,7 @@ }, { "cell_type": "markdown", - "id": "d3f4597f", + "id": "e0a0244b", "metadata": { "editable": true }, @@ -710,7 +710,7 @@ }, { "cell_type": "markdown", - "id": "c9e9ca01", + "id": "7db46562", "metadata": { "editable": true }, @@ -722,7 +722,7 @@ }, { "cell_type": "markdown", - "id": "1c3062b6", + "id": "dfd3b2a2", "metadata": { "editable": true }, @@ -732,7 +732,7 @@ }, { "cell_type": "markdown", - "id": "b455f707", + "id": "0a8c059c", "metadata": { "editable": true }, @@ -744,7 +744,7 @@ }, { "cell_type": "markdown", - "id": "5ac8fdd3", + "id": "197c21a0", "metadata": { "editable": true }, @@ -754,7 +754,7 @@ }, { "cell_type": "markdown", - "id": "827927db", + "id": "f99f268e", "metadata": { "editable": true }, @@ -766,7 +766,7 @@ }, { "cell_type": "markdown", - "id": "0c740a13", + "id": "6a8b2738", "metadata": { "editable": true }, @@ -776,7 +776,7 @@ }, { "cell_type": "markdown", - "id": "a855fc3c", + "id": "3451f8f0", "metadata": { "editable": true }, @@ -792,7 +792,7 @@ }, { "cell_type": "markdown", - "id": "9dda8b9e", + "id": "2cceee67", "metadata": { "editable": true }, @@ -804,7 +804,7 @@ }, { "cell_type": "markdown", - "id": "d160205c", + "id": "35f4e8bb", "metadata": { "editable": true }, @@ -814,7 +814,7 @@ }, { "cell_type": "markdown", - "id": "1b7501a6", + "id": "21b8abf8", "metadata": { "editable": true }, @@ -826,7 +826,7 @@ }, { "cell_type": "markdown", - "id": "d75a8c65", + "id": "67804133", "metadata": { "editable": true }, @@ -839,7 +839,7 @@ }, { "cell_type": "markdown", - "id": "c9f718df", + "id": "475b65d6", "metadata": { "editable": true }, @@ -851,7 +851,7 @@ }, { "cell_type": "markdown", - "id": "b07b6425", + "id": "7e68e582", "metadata": { "editable": true }, @@ -861,7 +861,7 @@ }, { "cell_type": "markdown", - "id": "215a8730", + "id": "7798cead", "metadata": { "editable": true }, @@ -873,7 +873,7 @@ }, { "cell_type": "markdown", - "id": "7013d0f0", + "id": "06b5fc3f", "metadata": { "editable": true }, @@ -883,7 +883,7 @@ }, { "cell_type": "markdown", - "id": "d56b4ce0", + "id": "997f8e5d", "metadata": { "editable": true }, @@ -895,7 +895,7 @@ }, { "cell_type": "markdown", - "id": "f9c6b14d", + "id": "9fec2088", "metadata": { "editable": true }, @@ -907,7 +907,7 @@ }, { "cell_type": "markdown", - "id": "0bde16cb", + "id": "af56a994", "metadata": { "editable": true }, @@ -917,7 +917,7 @@ }, { "cell_type": "markdown", - "id": "0a2869fc", + "id": "d50d4218", "metadata": { "editable": true }, @@ -929,7 +929,7 @@ }, { "cell_type": "markdown", - "id": "75b83b9b", + "id": "edbfbb74", "metadata": { "editable": true }, @@ -941,19 +941,19 @@ }, { "cell_type": "markdown", - "id": "1e76d916", + "id": "684bbebb", "metadata": { "editable": true }, "source": [ "$$\n", - "C(\\boldsymbol{\\beta}=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\frac{1}{\\tau}\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", + "C(\\boldsymbol{\\beta})=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\frac{1}{\\tau}\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", "$$" ] }, { "cell_type": "markdown", - "id": "09dfe26d", + "id": "42ad509f", "metadata": { "editable": true }, @@ -963,19 +963,19 @@ }, { "cell_type": "markdown", - "id": "4037962f", + "id": "75efa6c7", "metadata": { "editable": true }, "source": [ "$$\n", - "C(\\boldsymbol{\\beta}=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", + "C(\\boldsymbol{\\beta})=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", "$$" ] }, { "cell_type": "markdown", - "id": "39a85ba0", + "id": "b88067e5", "metadata": { "editable": true }, @@ -985,7 +985,7 @@ }, { "cell_type": "markdown", - "id": "b263a1fe", + "id": "2223ad59", "metadata": { "editable": true }, @@ -1004,7 +1004,7 @@ }, { "cell_type": "markdown", - "id": "41730165", + "id": "adf4f844", "metadata": { "editable": true }, @@ -1032,7 +1032,7 @@ }, { "cell_type": "markdown", - "id": "4076cee3", + "id": "eeacc972", "metadata": { "editable": true }, @@ -1058,7 +1058,7 @@ }, { "cell_type": "markdown", - "id": "11139cb3", + "id": "b162fc53", "metadata": { "editable": true }, @@ -1075,7 +1075,7 @@ }, { "cell_type": "markdown", - "id": "b2bead9b", + "id": "d70c98f7", "metadata": { "editable": true }, @@ -1095,7 +1095,7 @@ }, { "cell_type": "markdown", - "id": "8df8364e", + "id": "220b6410", "metadata": { "editable": true }, @@ -1124,7 +1124,7 @@ }, { "cell_type": "markdown", - "id": "6b5273f1", + "id": "68efa94d", "metadata": { "editable": true }, @@ -1149,7 +1149,7 @@ }, { "cell_type": "markdown", - "id": "a260b371", + "id": "0c144baa", "metadata": { "editable": true }, @@ -1169,7 +1169,7 @@ }, { "cell_type": "markdown", - "id": "2ff1e63c", + "id": "3dbef469", "metadata": { "editable": true }, @@ -1181,7 +1181,7 @@ }, { "cell_type": "markdown", - "id": "ab4b2e8c", + "id": "27061345", "metadata": { "editable": true }, @@ -1191,7 +1191,7 @@ }, { "cell_type": "markdown", - "id": "85b6fb62", + "id": "bc270a26", "metadata": { "editable": true }, @@ -1206,7 +1206,7 @@ }, { "cell_type": "markdown", - "id": "42449344", + "id": "4075e050", "metadata": { "editable": true }, @@ -1219,7 +1219,7 @@ }, { "cell_type": "markdown", - "id": "35e4f511", + "id": "19dd4b96", "metadata": { "editable": true }, @@ -1232,7 +1232,7 @@ }, { "cell_type": "markdown", - "id": "c787234f", + "id": "f0fa1bc0", "metadata": { "editable": true }, @@ -1244,7 +1244,7 @@ }, { "cell_type": "markdown", - "id": "183711dc", + "id": "8ea697af", "metadata": { "editable": true }, @@ -1257,7 +1257,7 @@ }, { "cell_type": "markdown", - "id": "2351078d", + "id": "6074b0df", "metadata": { "editable": true }, @@ -1268,7 +1268,7 @@ }, { "cell_type": "markdown", - "id": "408ba3b5", + "id": "17890a02", "metadata": { "editable": true }, @@ -1282,7 +1282,7 @@ }, { "cell_type": "markdown", - "id": "3ea79849", + "id": "86770121", "metadata": { "editable": true }, @@ -1292,7 +1292,7 @@ }, { "cell_type": "markdown", - "id": "69439aad", + "id": "7447aaee", "metadata": { "editable": true }, @@ -1306,7 +1306,7 @@ }, { "cell_type": "markdown", - "id": "e6c29fd8", + "id": "1a065454", "metadata": { "editable": true }, @@ -1319,7 +1319,7 @@ }, { "cell_type": "markdown", - "id": "4bb52549", + "id": "299e45c4", "metadata": { "editable": true }, @@ -1332,7 +1332,7 @@ }, { "cell_type": "markdown", - "id": "3430d548", + "id": "2e27eb1c", "metadata": { "editable": true }, @@ -1342,7 +1342,7 @@ }, { "cell_type": "markdown", - "id": "9ba636b3", + "id": "757e0395", "metadata": { "editable": true }, @@ -1355,7 +1355,7 @@ }, { "cell_type": "markdown", - "id": "cb19e98f", + "id": "821b4888", "metadata": { "editable": true }, @@ -1365,7 +1365,7 @@ }, { "cell_type": "markdown", - "id": "3cc840d7", + "id": "1f66e8c1", "metadata": { "editable": true }, @@ -1378,7 +1378,7 @@ }, { "cell_type": "markdown", - "id": "a5062213", + "id": "794b99f5", "metadata": { "editable": true }, @@ -1390,7 +1390,7 @@ }, { "cell_type": "markdown", - "id": "8d555244", + "id": "a7703593", "metadata": { "editable": true }, @@ -1409,7 +1409,7 @@ }, { "cell_type": "markdown", - "id": "c4356604", + "id": "4d4c2830", "metadata": { "editable": true }, @@ -1422,7 +1422,7 @@ }, { "cell_type": "markdown", - "id": "09dc08a1", + "id": "08f438fa", "metadata": { "editable": true }, @@ -1434,7 +1434,7 @@ }, { "cell_type": "markdown", - "id": "dab5056a", + "id": "30554920", "metadata": { "editable": true }, @@ -1447,7 +1447,7 @@ }, { "cell_type": "markdown", - "id": "8a1f8583", + "id": "eb2d0659", "metadata": { "editable": true }, @@ -1467,7 +1467,7 @@ }, { "cell_type": "markdown", - "id": "1be08ebb", + "id": "e3f406ba", "metadata": { "editable": true }, @@ -1490,7 +1490,7 @@ }, { "cell_type": "markdown", - "id": "2a368353", + "id": "04ed2dd4", "metadata": { "editable": true }, @@ -1505,7 +1505,7 @@ }, { "cell_type": "markdown", - "id": "6fee4a1a", + "id": "ca175052", "metadata": { "editable": true }, @@ -1517,7 +1517,7 @@ }, { "cell_type": "markdown", - "id": "1a97c9ef", + "id": "cae9e5af", "metadata": { "editable": true }, @@ -1537,7 +1537,7 @@ }, { "cell_type": "markdown", - "id": "0a70afb2", + "id": "5d65b07a", "metadata": { "editable": true }, @@ -1557,7 +1557,7 @@ }, { "cell_type": "markdown", - "id": "dc32eaea", + "id": "b1bf73fb", "metadata": { "editable": true }, @@ -1581,7 +1581,7 @@ }, { "cell_type": "markdown", - "id": "016d0ab3", + "id": "1f98ac66", "metadata": { "editable": true }, @@ -1602,7 +1602,7 @@ }, { "cell_type": "markdown", - "id": "3f371f0d", + "id": "cc88b1ee", "metadata": { "editable": true }, @@ -1632,7 +1632,7 @@ }, { "cell_type": "markdown", - "id": "abc56fe7", + "id": "8b721633", "metadata": { "editable": true }, @@ -1656,7 +1656,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "a3d2885b", + "id": "ad223832", "metadata": { "collapsed": false, "editable": true @@ -1695,7 +1695,7 @@ }, { "cell_type": "markdown", - "id": "5db67125", + "id": "17be41a1", "metadata": { "editable": true }, @@ -1705,7 +1705,7 @@ }, { "cell_type": "markdown", - "id": "6f1b5417", + "id": "69421d74", "metadata": { "editable": true }, @@ -1716,7 +1716,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "9d98136a", + "id": "2729405e", "metadata": { "collapsed": false, "editable": true @@ -1736,7 +1736,7 @@ }, { "cell_type": "markdown", - "id": "c87eac4e", + "id": "236a42a1", "metadata": { "editable": true }, @@ -1754,7 +1754,7 @@ }, { "cell_type": "markdown", - "id": "2f0f4313", + "id": "8fcdaadc", "metadata": { "editable": true }, @@ -1766,7 +1766,7 @@ }, { "cell_type": "markdown", - "id": "7895ee8b", + "id": "7cc9cdf4", "metadata": { "editable": true }, @@ -1783,7 +1783,7 @@ }, { "cell_type": "markdown", - "id": "be454b28", + "id": "b7b6f4ad", "metadata": { "editable": true }, @@ -1795,7 +1795,7 @@ }, { "cell_type": "markdown", - "id": "7475f8f9", + "id": "859ee059", "metadata": { "editable": true }, @@ -1805,7 +1805,7 @@ }, { "cell_type": "markdown", - "id": "fd472029", + "id": "459c3520", "metadata": { "editable": true }, @@ -1817,7 +1817,7 @@ }, { "cell_type": "markdown", - "id": "b43c8f67", + "id": "07d724d8", "metadata": { "editable": true }, @@ -1834,7 +1834,7 @@ }, { "cell_type": "markdown", - "id": "c47cfb6d", + "id": "ebe1aaa1", "metadata": { "editable": true }, @@ -1846,7 +1846,7 @@ }, { "cell_type": "markdown", - "id": "593188cd", + "id": "6827a56c", "metadata": { "editable": true }, @@ -1856,7 +1856,7 @@ }, { "cell_type": "markdown", - "id": "76de4d81", + "id": "1b5aabc1", "metadata": { "editable": true }, @@ -1868,7 +1868,7 @@ }, { "cell_type": "markdown", - "id": "afc38c97", + "id": "fd4da9e7", "metadata": { "editable": true }, @@ -1878,7 +1878,7 @@ }, { "cell_type": "markdown", - "id": "b0f2971c", + "id": "3ba15e20", "metadata": { "editable": true }, @@ -1890,7 +1890,7 @@ }, { "cell_type": "markdown", - "id": "5a65e495", + "id": "3c912a7b", "metadata": { "editable": true }, @@ -1900,7 +1900,7 @@ }, { "cell_type": "markdown", - "id": "31419298", + "id": "43cb230f", "metadata": { "editable": true }, @@ -1916,7 +1916,7 @@ }, { "cell_type": "markdown", - "id": "217ddd53", + "id": "c723eb72", "metadata": { "editable": true }, @@ -1927,7 +1927,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "ece05002", + "id": "52d1b1bf", "metadata": { "collapsed": false, "editable": true @@ -1992,7 +1992,7 @@ }, { "cell_type": "markdown", - "id": "de6dc4e2", + "id": "05905c84", "metadata": { "editable": true }, @@ -2003,7 +2003,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "da218205", + "id": "15883cc8", "metadata": { "collapsed": false, "editable": true @@ -2060,7 +2060,7 @@ }, { "cell_type": "markdown", - "id": "5ea5df06", + "id": "d01031bc", "metadata": { "editable": true }, @@ -2098,7 +2098,7 @@ }, { "cell_type": "markdown", - "id": "40f41d74", + "id": "3f1014f9", "metadata": { "editable": true }, @@ -2109,7 +2109,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "03bb50ae", + "id": "0f7f0a2b", "metadata": { "collapsed": false, "editable": true @@ -2191,7 +2191,7 @@ }, { "cell_type": "markdown", - "id": "cd11e9fd", + "id": "5c0a1e98", "metadata": { "editable": true }, @@ -2216,7 +2216,7 @@ }, { "cell_type": "markdown", - "id": "6cf68ff2", + "id": "423a173e", "metadata": { "editable": true }, @@ -2244,7 +2244,7 @@ }, { "cell_type": "markdown", - "id": "c445bfb2", + "id": "531cc595", "metadata": { "editable": true }, @@ -2257,7 +2257,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "8e26035a", + "id": "9f463ef6", "metadata": { "collapsed": false, "editable": true @@ -2357,7 +2357,7 @@ }, { "cell_type": "markdown", - "id": "86a6b012", + "id": "fb460894", "metadata": { "editable": true }, @@ -2368,7 +2368,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "4a0e1afd", + "id": "84f5480a", "metadata": { "collapsed": false, "editable": true @@ -2457,7 +2457,7 @@ }, { "cell_type": "markdown", - "id": "bb1e0f15", + "id": "2e9a67d4", "metadata": { "editable": true }, @@ -2467,7 +2467,7 @@ }, { "cell_type": "markdown", - "id": "83c87d33", + "id": "a487a944", "metadata": { "editable": true }, @@ -2480,7 +2480,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "74eaac59", + "id": "82c29352", "metadata": { "collapsed": false, "editable": true @@ -2558,7 +2558,7 @@ }, { "cell_type": "markdown", - "id": "aa703354", + "id": "c76ccd85", "metadata": { "editable": true }, @@ -2568,7 +2568,7 @@ }, { "cell_type": "markdown", - "id": "f8bffca6", + "id": "3131e8d4", "metadata": { "editable": true }, @@ -2597,7 +2597,7 @@ }, { "cell_type": "markdown", - "id": "109c07d6", + "id": "0b408cd2", "metadata": { "editable": true }, @@ -2613,7 +2613,7 @@ }, { "cell_type": "markdown", - "id": "1ea48f22", + "id": "e127a896", "metadata": { "editable": true }, @@ -2632,7 +2632,7 @@ }, { "cell_type": "markdown", - "id": "212f90ec", + "id": "d0096384", "metadata": { "editable": true }, @@ -2646,7 +2646,7 @@ }, { "cell_type": "markdown", - "id": "a019e7cb", + "id": "c01cf074", "metadata": { "editable": true }, @@ -2658,7 +2658,7 @@ }, { "cell_type": "markdown", - "id": "2ca46c43", + "id": "0e482bf6", "metadata": { "editable": true }, @@ -2669,7 +2669,7 @@ }, { "cell_type": "markdown", - "id": "c61ed9c8", + "id": "5fdd00a2", "metadata": { "editable": true }, @@ -2681,7 +2681,7 @@ }, { "cell_type": "markdown", - "id": "96d84043", + "id": "5c65ebd6", "metadata": { "editable": true }, @@ -2693,7 +2693,7 @@ }, { "cell_type": "markdown", - "id": "e53b66df", + "id": "fab9aceb", "metadata": { "editable": true }, @@ -2709,7 +2709,7 @@ }, { "cell_type": "markdown", - "id": "71d542a3", + "id": "b5c38a6a", "metadata": { "editable": true }, @@ -2720,7 +2720,7 @@ }, { "cell_type": "markdown", - "id": "01b18637", + "id": "fb7b60e4", "metadata": { "editable": true }, @@ -2743,7 +2743,7 @@ }, { "cell_type": "markdown", - "id": "e35bdcc1", + "id": "ab45dff9", "metadata": { "editable": true }, @@ -2754,7 +2754,7 @@ }, { "cell_type": "markdown", - "id": "15b7ea3c", + "id": "3714ed57", "metadata": { "editable": true }, @@ -2766,7 +2766,7 @@ }, { "cell_type": "markdown", - "id": "a4c5f625", + "id": "eb804be9", "metadata": { "editable": true }, @@ -2778,7 +2778,7 @@ }, { "cell_type": "markdown", - "id": "450007e4", + "id": "b8127b07", "metadata": { "editable": true }, @@ -2792,7 +2792,7 @@ }, { "cell_type": "markdown", - "id": "3bcf81c1", + "id": "8e5964fc", "metadata": { "editable": true }, @@ -2823,7 +2823,7 @@ }, { "cell_type": "markdown", - "id": "f69a019e", + "id": "53b8a320", "metadata": { "editable": true }, @@ -2845,7 +2845,7 @@ }, { "cell_type": "markdown", - "id": "95b37da0", + "id": "42b13d5f", "metadata": { "editable": true }, @@ -2857,7 +2857,7 @@ }, { "cell_type": "markdown", - "id": "241c2335", + "id": "e273408f", "metadata": { "editable": true }, @@ -2870,7 +2870,7 @@ }, { "cell_type": "markdown", - "id": "cf794384", + "id": "1dc4ad8b", "metadata": { "editable": true }, @@ -2882,7 +2882,7 @@ }, { "cell_type": "markdown", - "id": "4cd5260a", + "id": "1a4b573f", "metadata": { "editable": true }, @@ -2894,7 +2894,7 @@ }, { "cell_type": "markdown", - "id": "7361e846", + "id": "59e15b92", "metadata": { "editable": true }, @@ -2906,7 +2906,7 @@ }, { "cell_type": "markdown", - "id": "6a07837b", + "id": "6b9440f8", "metadata": { "editable": true }, diff --git a/doc/src/week37/week37.do.txt b/doc/src/week37/week37.do.txt index 39c2d5e8b..d9913ab56 100644 --- a/doc/src/week37/week37.do.txt +++ b/doc/src/week37/week37.do.txt @@ -411,14 +411,14 @@ constants terms that do not depend on $\beta$, we have !bt \[ -C(\bm{\beta}=\frac{\vert\vert (\bm{y}-\bm{X}\bm{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\bm{\beta}\vert\vert_1, +C(\bm{\beta})=\frac{\vert\vert (\bm{y}-\bm{X}\bm{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\bm{\beta}\vert\vert_1, \] !et and replacing $1/\tau$ with $\lambda$ we have !bt \[ -C(\bm{\beta}=\frac{\vert\vert (\bm{y}-\bm{X}\bm{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\bm{\beta}\vert\vert_1, +C(\bm{\beta})=\frac{\vert\vert (\bm{y}-\bm{X}\bm{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\bm{\beta}\vert\vert_1, \] !et which is our Lasso cost function!