From 1c714ef427551a5ac1be378b4513b29e1438b3be Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Tue, 11 Sep 2018 11:06:31 +0200 Subject: [PATCH] small changes --- .../Examples/CH2 Marsland Gaussian.ipynb | 2 +- .../Examples/Intro to ML Examples/Blobs.ipynb | 13 ++- .../Intro to ML Examples/Boston Housing.ipynb | 8 +- .../Intro to ML Examples/Make Moons.ipynb | 2 +- .../Examples/ML for Physicists.ipynb | 22 +++-- .../Functions in mglearn.ipynb | 8 +- doc/pub/Regression/ipynb/Regression.ipynb | 83 ++++++++++++------- 7 files changed, 82 insertions(+), 56 deletions(-) diff --git a/doc/Programs/JupyterFiles/Examples/CH2 Marsland Gaussian.ipynb b/doc/Programs/JupyterFiles/Examples/CH2 Marsland Gaussian.ipynb index e551a4654..43341cfe6 100644 --- a/doc/Programs/JupyterFiles/Examples/CH2 Marsland Gaussian.ipynb +++ b/doc/Programs/JupyterFiles/Examples/CH2 Marsland Gaussian.ipynb @@ -136,7 +136,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.7.0" } }, "nbformat": 4, diff --git a/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Blobs.ipynb b/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Blobs.ipynb index 06d90e22e..2acd80223 100644 --- a/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Blobs.ipynb +++ b/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Blobs.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -15,9 +15,8 @@ }, { "data": { - "image/png": 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ZtbnV23rsLizLRo01tMKjzgxSSv7JaeeezVuwgLjNhicW42+l5Dunz3G1trAG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\nejTTw1u3rMdA97JpsftIVczRBC44ilZ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7W/sEEpHDxo0F+OijwwB4rrVWq8KSJUfxm99ciauvjpxhFaEkNVWPzz+fgRMn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\neFGDUM7FTjxqLcoY+AI9bWRmAu+84/r7ffuA5593zY7abCK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OJwWdwVJVBTz/vFiVWVoK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Uq/nrdruKt966iCNHGmAwCGCMJ3Tffffg9vMajSJmzAjejHfCNwkJBjz88DA8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Ppq8WcPisGMzd/6EbhMCXtCSB8xaxaQloaex86pBhNs6Vmov/K2MA2MRAOtxtPXWzhQ4Eki15Qp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\nkKDAkxBCCCGEhMT/BziCrfXKRmTaAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, @@ -251,7 +248,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.7.0" } }, "nbformat": 4, diff --git a/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Boston Housing.ipynb b/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Boston Housing.ipynb index 241c4a0ae..7c04e4dc2 100644 --- a/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Boston Housing.ipynb +++ b/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Boston Housing.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 11, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -14,9 +14,9 @@ }, { "data": { - "image/png": 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EbiPyFxUe0taXG2umkDDnKW6smcKQtr4cjN3HgAEDrB2i1eTPKswvAGXrSuut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\nQi7FCOEEbt68yebNm4mMjGT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\n", "text/plain": [ - "" + "
" ] }, "metadata": {}, @@ -117,7 +117,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.7.0" } }, "nbformat": 4, diff --git a/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Make Moons.ipynb b/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Make Moons.ipynb index c5033ed4d..baccc39c2 100644 --- a/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Make Moons.ipynb +++ b/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Make Moons.ipynb @@ -94,7 +94,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.7.0" } }, "nbformat": 4, diff --git a/doc/Programs/JupyterFiles/Examples/ML for Physicists.ipynb b/doc/Programs/JupyterFiles/Examples/ML for Physicists.ipynb index 9490577c1..3858eec43 100644 --- a/doc/Programs/JupyterFiles/Examples/ML for Physicists.ipynb +++ b/doc/Programs/JupyterFiles/Examples/ML for Physicists.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 4, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -589,7 +589,7 @@ " // Register the callback with on_msg.\n", " comm.on_msg(function(msg) {\n", " //console.log('receiving', msg['content']['data'], msg);\n", - " // Pass the mpl event to the overriden (by mpl) onmessage function.\n", + " // Pass the mpl event to the overridden (by mpl) onmessage function.\n", " ws.onmessage(msg['content']['data'])\n", " });\n", " return ws;\n", @@ -795,7 +795,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -804,6 +804,14 @@ "metadata": {}, "output_type": "display_data" }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/site-packages/sklearn/linear_model/base.py:509: RuntimeWarning: internal gelsd driver lwork query error, required iwork dimension not returned. This is likely the result of LAPACK bug 0038, fixed in LAPACK 3.2.2 (released July 21, 2010). Falling back to 'gelss' driver.\n", + " linalg.lstsq(X, y)\n" + ] + }, { "data": { "application/javascript": [ @@ -1381,7 +1389,7 @@ " // Register the callback with on_msg.\n", " comm.on_msg(function(msg) {\n", " //console.log('receiving', msg['content']['data'], msg);\n", - " // Pass the mpl event to the overriden (by mpl) onmessage function.\n", + " // Pass the mpl event to the overridden (by mpl) onmessage function.\n", " ws.onmessage(msg['content']['data'])\n", " });\n", " return ws;\n", @@ -1587,7 +1595,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -1602,7 +1610,7 @@ "(-6, 12)" ] }, - "execution_count": 4, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" } @@ -3095,7 +3103,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.7.0" } }, "nbformat": 4, diff --git a/doc/Programs/JupyterFiles/Examples/My Own Examples/Functions in mglearn.ipynb b/doc/Programs/JupyterFiles/Examples/My Own Examples/Functions in mglearn.ipynb index 1fcd017c9..882beca5e 100644 --- a/doc/Programs/JupyterFiles/Examples/My Own Examples/Functions in mglearn.ipynb +++ b/doc/Programs/JupyterFiles/Examples/My Own Examples/Functions in mglearn.ipynb @@ -2,10 +2,8 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": true - }, + "execution_count": 3, + "metadata": {}, "outputs": [], "source": [ "import mglearn\n", @@ -101,7 +99,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.7.0" } }, "nbformat": 4, diff --git a/doc/pub/Regression/ipynb/Regression.ipynb b/doc/pub/Regression/ipynb/Regression.ipynb index a4a85095f..53b3d9d11 100644 --- a/doc/pub/Regression/ipynb/Regression.ipynb +++ b/doc/pub/Regression/ipynb/Regression.ipynb @@ -1068,12 +1068,20 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 5, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/site-packages/sklearn/linear_model/base.py:509: RuntimeWarning: internal gelsd driver lwork query error, required iwork dimension not returned. This is likely the result of LAPACK bug 0038, fixed in LAPACK 3.2.2 (released July 21, 2010). Falling back to 'gelss' driver.\n", + " linalg.lstsq(X, y)\n" + ] + }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1216,12 +1224,12 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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" ] @@ -1272,7 +1280,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -1280,9 +1288,9 @@ "output_type": "stream", "text": [ "The intercept alpha: \n", - " [2.00137415]\n", + " [1.99626028]\n", "Coefficient beta : \n", - " [[4.99698001]]\n", + " [[5.00659132]]\n", "Mean squared error: 0.00\n", "Variance score: 1.00\n", "Mean squared log error: 0.00\n", @@ -1291,7 +1299,7 @@ }, { "data": { - "image/png": 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\n", 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" ] @@ -1451,12 +1459,12 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1529,9 +1537,30 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[3.95333266]\n", + " [2.97287919]]\n", + "[[3.95333266]\n", + " [2.97287919]]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Importing various packages\n", "from math import exp, sqrt\n", @@ -1649,7 +1678,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -1664,23 +1693,16 @@ "Ordinary Least Squares\n", "Prediction Shape: (13,)\n", "Coefficients: \n", - " [0.54090544]\n", - "Mean squared error: 4.92\n", - "Variance score: 0.11\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/usr/local/lib/python3.7/site-packages/sklearn/linear_model/base.py:509: RuntimeWarning: internal gelsd driver lwork query error, required iwork dimension not returned. This is likely the result of LAPACK bug 0038, fixed in LAPACK 3.2.2 (released July 21, 2010). Falling back to 'gelss' driver.\n", - " linalg.lstsq(X, y)\n" + " [0.48377624]\n", + "Mean squared error: 2.38\n", + "Variance score: 0.55\n" ] }, { "data": { + "image/png": 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\n", 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" + "
" ] }, "metadata": {}, @@ -1692,18 +1714,19 @@ "text": [ "------------------------------------\n", "Ridge Regression\n", - "Ridge Coefficient: [0.54089262]\n", - "Ridge Intercept: 4.6076494432587065\n", + "Ridge Coefficient: [0.48263202]\n", + "Ridge Intercept: 5.507994331002207\n", "------------------------------------\n", "Lasso\n", - "Lasso Coefficient: [0.54002825]\n", - "Lasso Intercept: 4.623208095009552\n" + "Lasso Coefficient: [0.48289905]\n", + "Lasso Intercept: 5.50318784374401\n" ] }, { "data": { + "image/png": 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\n", 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