We will also study the usage of Autograd in computing gradients for deep learning. For the documentation of Autograd and examples see the lectures slides from week 40 and the Autograd doucmentation.
diff --git a/doc/pub/week43/html/._week43-bs052.html b/doc/pub/week43/html/._week43-bs052.html
index 63714998d..a985322ba 100644
--- a/doc/pub/week43/html/._week43-bs052.html
+++ b/doc/pub/week43/html/._week43-bs052.html
@@ -309,11 +309,11 @@ MathJax.Hub.Config({
The principal component analysis deals with the problem of fitting a
low-dimensional affine subspace \( S \) of dimension \( d \) much smaller than
-the totaldimension \( D \) of the problem at hand (our data
+the total dimension \( D \) of the problem at hand (our data
set). Mathematically it can be formulated as a statistical problem or
a geometric problem. In our discussion of the theorem for the
-classical PCA, we will stay with a statistical approach. This is also
-what set the scene historically which for the PCA.
+classical PCA, we will stay with a statistical approach.
+Historically, the PCA was first formulated in a statistical setting in order to estimate the principal component of a multivariate random variable.
We have a data set defined by a design/feature matrix \( \boldsymbol{X} \) (see below for its definition)
@@ -324,6 +324,9 @@ We have a data set defined by a design/feature matrix \( \boldsymbol{X} \) (see
If so, these intrinsic variables may tell us something important and finding these intrinsic variables is what dimension reduction methods do.
Geometric Interpretation and link with Singular Value Decomposition
-This material will be added by mid January 2020.
+For a detailed demonstration of the geometric interpretation, see Vidal, Ma and Sastry, section 2.1.2.
The principal component analysis deals with the problem of fitting a
low-dimensional affine subspace \( S \) of dimension \( d \) much smaller than
-the totaldimension \( D \) of the problem at hand (our data
+the total dimension \( D \) of the problem at hand (our data
set). Mathematically it can be formulated as a statistical problem or
a geometric problem. In our discussion of the theorem for the
-classical PCA, we will stay with a statistical approach. This is also
-what set the scene historically which for the PCA.
+classical PCA, we will stay with a statistical approach.
+Historically, the PCA was first formulated in a statistical setting in order to estimate the principal component of a multivariate random variable.
We have a data set defined by a design/feature matrix \( \boldsymbol{X} \) (see below for its definition)
@@ -2967,6 +2967,9 @@ We have a data set defined by a design/feature matrix \( \boldsymbol{X} \) (see
We may want to ask the following question: Are there fewer intrinsic variables (say \( d < < p \)) that still approximately describe the data?
If so, these intrinsic variables may tell us something important and finding these intrinsic variables is what dimension reduction methods do.
+
+
+A good read is for example Vidal, Ma and Sastry.
@@ -3285,13 +3288,10 @@ covariance_matrix = Xpd.cov()
We note here that the covariance is zero for the first rows and
columns since all matrix elements in the design matrix were set to one
-(we are fitting the function in terms of a polynomial of degree \( n \)).
-
-
-This means that the variance for these elements will be zero and will
-cause problems when we set up the correlation matrix. We can simply
+(we are fitting the function in terms of a polynomial of degree \( n \)). We would however not include the intercept
+and wee can simply
drop these elements and construct a correlation
-matrix without these elements.
+matrix without them.
@@ -3654,9 +3654,6 @@ low-dimensional encoding of the data is then given by a set of vectors
\( \boldsymbol{z}_i \) with at most \( l \) vectors, with \( l < < p \), defined by the
orthogonal projection of the data onto the columns spanned by the
eigenvectors of the covariance(correlations matrix).
-
-
-The proof which follows will be updated by mid January 2020.
@@ -3798,7 +3795,7 @@ the Singular Value Decomposition theorem. For categorical data, see
chapter 12.4 and discussion therein.
-Additional part of the proof for the other eigenvectors will be added by mid January 2020.
+For more details, see for example Vidal, Ma and Sastry, chapter 2.
@@ -3806,7 +3803,7 @@ Additional part of the proof for the other eigenvectors will be added by mid Jan
Geometric Interpretation and link with Singular Value Decomposition
-This material will be added by mid January 2020.
+For a detailed demonstration of the geometric interpretation, see Vidal, Ma and Sastry, section 2.1.2.
diff --git a/doc/pub/week43/html/week43-solarized.html b/doc/pub/week43/html/week43-solarized.html
index a948d0949..9924a7678 100644
--- a/doc/pub/week43/html/week43-solarized.html
+++ b/doc/pub/week43/html/week43-solarized.html
@@ -235,14 +235,14 @@ MathJax.Hub.Config({
[2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University
-
Oct 22, 2020
+
Oct 23, 2020
-
Thursday: Wrapping up Recurrent Neural Networks and solving differential equations.
-
Friday: Principal Component Analysis and Dimensionality Reduction
+
Thursday: Wrapping up Recurrent Neural Networks and solving differential equations. Video of Lecture October 22
We will also study the usage of Autograd in computing gradients for deep learning. For the documentation of Autograd and examples see the lectures slides from week 40 and the Autograd doucmentation.
@@ -2893,11 +2893,11 @@ $$
The principal component analysis deals with the problem of fitting a
low-dimensional affine subspace \( S \) of dimension \( d \) much smaller than
-the totaldimension \( D \) of the problem at hand (our data
+the total dimension \( D \) of the problem at hand (our data
set). Mathematically it can be formulated as a statistical problem or
a geometric problem. In our discussion of the theorem for the
-classical PCA, we will stay with a statistical approach. This is also
-what set the scene historically which for the PCA.
+classical PCA, we will stay with a statistical approach.
+Historically, the PCA was first formulated in a statistical setting in order to estimate the principal component of a multivariate random variable.
We have a data set defined by a design/feature matrix \( \boldsymbol{X} \) (see below for its definition)
@@ -2908,6 +2908,9 @@ We have a data set defined by a design/feature matrix \( \boldsymbol{X} \) (see
If so, these intrinsic variables may tell us something important and finding these intrinsic variables is what dimension reduction methods do.
We note here that the covariance is zero for the first rows and
columns since all matrix elements in the design matrix were set to one
-(we are fitting the function in terms of a polynomial of degree \( n \)).
-
-
-This means that the variance for these elements will be zero and will
-cause problems when we set up the correlation matrix. We can simply
+(we are fitting the function in terms of a polynomial of degree \( n \)). We would however not include the intercept
+and wee can simply
drop these elements and construct a correlation
-matrix without these elements.
+matrix without them.
@@ -3538,9 +3538,6 @@ low-dimensional encoding of the data is then given by a set of vectors
orthogonal projection of the data onto the columns spanned by the
eigenvectors of the covariance(correlations matrix).
-
-The proof which follows will be updated by mid January 2020.
-
@@ -3657,7 +3654,7 @@ the Singular Value Decomposition theorem. For categorical data, see
chapter 12.4 and discussion therein.
-Additional part of the proof for the other eigenvectors will be added by mid January 2020.
+For more details, see for example Vidal, Ma and Sastry, chapter 2.
@@ -3665,7 +3662,7 @@ Additional part of the proof for the other eigenvectors will be added by mid Jan
Geometric Interpretation and link with Singular Value Decomposition
-This material will be added by mid January 2020.
+For a detailed demonstration of the geometric interpretation, see Vidal, Ma and Sastry, section 2.1.2.
We will also study the usage of Autograd in computing gradients for deep learning. For the documentation of Autograd and examples see the lectures slides from week 40 and the Autograd doucmentation.
@@ -2898,11 +2898,11 @@ $$
The principal component analysis deals with the problem of fitting a
low-dimensional affine subspace \( S \) of dimension \( d \) much smaller than
-the totaldimension \( D \) of the problem at hand (our data
+the total dimension \( D \) of the problem at hand (our data
set). Mathematically it can be formulated as a statistical problem or
a geometric problem. In our discussion of the theorem for the
-classical PCA, we will stay with a statistical approach. This is also
-what set the scene historically which for the PCA.
+classical PCA, we will stay with a statistical approach.
+Historically, the PCA was first formulated in a statistical setting in order to estimate the principal component of a multivariate random variable.
We have a data set defined by a design/feature matrix \( \boldsymbol{X} \) (see below for its definition)
@@ -2913,6 +2913,9 @@ We have a data set defined by a design/feature matrix \( \boldsymbol{X} \) (see
If so, these intrinsic variables may tell us something important and finding these intrinsic variables is what dimension reduction methods do.
Introducing the Covariance and Correlation functions
@@ -3204,13 +3207,10 @@ covariance_matrix = XpdVidal, Ma and Sastry, chapter 2.
@@ -3670,7 +3667,7 @@ Additional part of the proof for the other eigenvectors will be added by mid Jan
Geometric Interpretation and link with Singular Value Decomposition
-This material will be added by mid January 2020.
+For a detailed demonstration of the geometric interpretation, see Vidal, Ma and Sastry, section 2.1.2.
diff --git a/doc/pub/week43/ipynb/ipynb-week43-src.tar.gz b/doc/pub/week43/ipynb/ipynb-week43-src.tar.gz
index 13686f572..4dd615e7b 100644
Binary files a/doc/pub/week43/ipynb/ipynb-week43-src.tar.gz and b/doc/pub/week43/ipynb/ipynb-week43-src.tar.gz differ
diff --git a/doc/pub/week43/ipynb/week43.ipynb b/doc/pub/week43/ipynb/week43.ipynb
index 3f29d5451..eb7eceac0 100644
--- a/doc/pub/week43/ipynb/week43.ipynb
+++ b/doc/pub/week43/ipynb/week43.ipynb
@@ -10,16 +10,16 @@
" \n",
"**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n",
"\n",
- "Date: **Oct 22, 2020**\n",
+ "Date: **Oct 23, 2020**\n",
"\n",
"Copyright 1999-2020, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license\n",
"\n",
"\n",
"\n",
"\n",
- "* Thursday: Wrapping up Recurrent Neural Networks and solving differential equations. \n",
+ "* Thursday: Wrapping up Recurrent Neural Networks and solving differential equations. [Video of Lecture October 22](https://www.uio.no/studier/emner/matnat/fys/FYS-STK4155/h20/forelesningsvideoer/LectureOctober22.mp4?vrtx=view-as-webpage)\n",
"\n",
- "* Friday: Principal Component Analysis and Dimensionality Reduction\n",
+ "* Friday: Principal Component Analysis and Dimensionality Reduction. [Video of Lecture October 23](https://www.uio.no/studier/emner/matnat/fys/FYS-STK4155/h20/forelesningsvideoer/LectureOctober23.mp4?vrtx=view-as-webpage)\n",
"\n",
"We will also study the usage of [Autograd](https://www.youtube.com/watch?v=fRf4l5qaX1M&ab_channel=AlexSmola) in computing gradients for deep learning. For the documentation of Autograd and examples see the lectures slides from [week 40](https://compphysics.github.io/MachineLearning/doc/pub/week40/html/week40.html) and the [Autograd doucmentation](https://github.com/HIPS/autograd).\n",
"\n",
@@ -672,30 +672,10 @@
{
"cell_type": "code",
"execution_count": 1,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Initial cost: 367.01\n",
- "Final cost: 0.0666807\n",
- "Max absolute difference: 0.0437499\n"
- ]
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
@@ -859,29 +839,10 @@
{
"cell_type": "code",
"execution_count": 2,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Initial cost: 324.246\n",
- "Final cost: 0.119936\n"
- ]
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
"source": [
"import autograd.numpy as np\n",
"from autograd import grad, elementwise_grad\n",
@@ -1134,30 +1095,10 @@
{
"cell_type": "code",
"execution_count": 3,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Initial cost: 0.221805\n",
- "Final cost: 0.000417932\n",
- "The max absolute difference between the solutions is: 0.00424909\n"
- ]
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
"source": [
"import autograd.numpy as np\n",
"from autograd import grad, elementwise_grad\n",
@@ -1416,44 +1357,10 @@
{
"cell_type": "code",
"execution_count": 4,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Initial cost: 0.221805\n",
- "Final cost: 0.000417932\n",
- "The max absolute difference between the solutions is: 0.00424909\n",
- "Max absolute difference between Euler method and analytical: 0.011225\n",
- "Max absolute difference between deep neural network and analytical: 0.00424909\n"
- ]
- },
- {
- "data": {
- "image/png": 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\n",
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- "needs_background": "light"
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- "output_type": "display_data"
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- {
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
"source": [
"# Assume that all function definitions from the example program using Autograd\n",
"# are located here.\n",
@@ -1653,30 +1560,10 @@
{
"cell_type": "code",
"execution_count": 5,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Initial cost: 457.256\n",
- "Final cost: 0.00310113\n",
- "The max absolute difference between the solutions is: 0.000464088\n"
- ]
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
"source": [
"import autograd.numpy as np\n",
"from autograd import grad, elementwise_grad\n",
@@ -1983,43 +1870,10 @@
{
"cell_type": "code",
"execution_count": 6,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Initial cost: 457.256\n",
- "Final cost: 0.00310113\n",
- "The max absolute difference between the analytical solution and DNN Autograd: 0.000464088\n",
- "The max absolute difference between the analytical solution and numerical scheme: 0.00266858\n"
- ]
- },
- {
- "data": {
- "image/png": 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\n",
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
"source": [
"import autograd.numpy as np\n",
"from autograd import grad, elementwise_grad\n",
@@ -2441,7 +2295,9 @@
{
"cell_type": "code",
"execution_count": 7,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"def sigmoid(z):\n",
@@ -2540,7 +2396,9 @@
{
"cell_type": "code",
"execution_count": 8,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"# Set up the trial function:\n",
@@ -2607,90 +2465,10 @@
{
"cell_type": "code",
"execution_count": 9,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Initial cost: 41.05505310046362\n",
- "Final cost: 3.5239387203396446\n",
- "Max absolute difference between the analytical solution and the network: 0.362021\n"
- ]
- },
- {
- "data": {
- "image/png": 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\n",
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- "needs_background": "light"
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- "output_type": "display_data"
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- {
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\n",
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\n",
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\n",
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\n",
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- "needs_background": "light"
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- "output_type": "display_data"
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- {
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
"source": [
"import autograd.numpy as np\n",
"from autograd import jacobian,hessian,grad\n",
@@ -3047,90 +2825,10 @@
{
"cell_type": "code",
"execution_count": 10,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Initial cost: 131.8509984035501\n",
- "Final cost: 0.1596188811226419\n",
- "Max difference between analytical and solution from nn: 0.0283653\n"
- ]
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- },
- {
- "data": {
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\n",
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\n",
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\n",
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\n",
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- "output_type": "display_data"
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
"source": [
"import autograd.numpy as np\n",
"from autograd import hessian,grad\n",
@@ -3376,11 +3074,11 @@
"\n",
"The principal component analysis deals with the problem of fitting a\n",
"low-dimensional affine subspace $S$ of dimension $d$ much smaller than\n",
- "the totaldimension $D$ of the problem at hand (our data\n",
+ "the total dimension $D$ of the problem at hand (our data\n",
"set). Mathematically it can be formulated as a statistical problem or\n",
"a geometric problem. In our discussion of the theorem for the\n",
- "classical PCA, we will stay with a statistical approach. This is also\n",
- "what set the scene historically which for the PCA.\n",
+ "classical PCA, we will stay with a statistical approach. \n",
+ "Historically, the PCA was first formulated in a statistical setting in order to estimate the principal component of a multivariate random variable.\n",
"\n",
"We have a data set defined by a design/feature matrix $\\boldsymbol{X}$ (see below for its definition) \n",
"* Each data point is determined by $p$ extrinsic (measurement) variables\n",
@@ -3389,6 +3087,9 @@
"\n",
"* If so, these intrinsic variables may tell us something important and finding these intrinsic variables is what dimension reduction methods do. \n",
"\n",
+ "A good read is for example [Vidal, Ma and Sastry](https://www.springer.com/gp/book/9780387878102).\n",
+ "\n",
+ "\n",
"## Introducing the Covariance and Correlation functions\n",
"\n",
"Before we discuss the PCA theorem, we need to remind ourselves about\n",
@@ -3654,7 +3355,9 @@
{
"cell_type": "code",
"execution_count": 11,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"# Importing various packages\n",
@@ -3685,7 +3388,9 @@
{
"cell_type": "code",
"execution_count": 12,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"import numpy as np\n",
@@ -3729,7 +3434,9 @@
{
"cell_type": "code",
"execution_count": 13,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"import numpy as np\n",
@@ -3759,7 +3466,9 @@
{
"cell_type": "code",
"execution_count": 14,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"# Common imports\n",
@@ -3813,12 +3522,10 @@
"source": [
"We note here that the covariance is zero for the first rows and\n",
"columns since all matrix elements in the design matrix were set to one\n",
- "(we are fitting the function in terms of a polynomial of degree $n$).\n",
- "\n",
- "This means that the variance for these elements will be zero and will\n",
- "cause problems when we set up the correlation matrix. We can simply\n",
+ "(we are fitting the function in terms of a polynomial of degree $n$). We would however not include the intercept\n",
+ "and wee can simply\n",
"drop these elements and construct a correlation\n",
- "matrix without these elements. \n",
+ "matrix without them. \n",
"\n",
"\n",
"## Rewriting the Covariance and/or Correlation Matrix\n",
@@ -4057,7 +3764,9 @@
{
"cell_type": "code",
"execution_count": 15,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"import numpy as np\n",
@@ -4119,7 +3828,9 @@
{
"cell_type": "code",
"execution_count": 16,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"df = pd.DataFrame(X)\n",
@@ -4168,7 +3879,9 @@
{
"cell_type": "code",
"execution_count": 17,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"print(df.cov())\n",
@@ -4186,7 +3899,9 @@
{
"cell_type": "code",
"execution_count": 18,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"# extract the relevant columns from the centered design matrix of dim n x 2\n",
@@ -4254,7 +3969,9 @@
{
"cell_type": "code",
"execution_count": 19,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"# diagonalize and obtain eigenvalues, not necessarily sorted\n",
@@ -4321,7 +4038,7 @@
"orthogonal projection of the data onto the columns spanned by the\n",
"eigenvectors of the covariance(correlations matrix).\n",
"\n",
- "The proof which follows will be updated by mid January 2020.\n",
+ "\n",
"\n",
"## Proof of the PCA Theorem\n",
"\n",
@@ -4552,11 +4269,11 @@
"the Singular Value Decomposition theorem. For categorical data, see\n",
"chapter 12.4 and discussion therein.\n",
"\n",
- "Additional part of the proof for the other eigenvectors will be added by mid January 2020.\n",
+ "For more details, see for example [Vidal, Ma and Sastry, chapter 2](https://www.springer.com/gp/book/9780387878102).\n",
"\n",
"## Geometric Interpretation and link with Singular Value Decomposition\n",
"\n",
- "This material will be added by mid January 2020.\n",
+ "For a detailed demonstration of the geometric interpretation, see [Vidal, Ma and Sastry, section 2.1.2](https://www.springer.com/gp/book/9780387878102).\n",
"\n",
"\n",
"## Principal Component Analysis\n",
@@ -4571,7 +4288,9 @@
{
"cell_type": "code",
"execution_count": 20,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"import numpy as np\n",
@@ -4616,7 +4335,9 @@
{
"cell_type": "code",
"execution_count": 21,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"W2 = V.T[:, :2]\n",
@@ -4638,7 +4359,9 @@
{
"cell_type": "code",
"execution_count": 22,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"#thereafter we do a PCA with Scikit-learn\n",
@@ -4660,7 +4383,9 @@
{
"cell_type": "code",
"execution_count": 23,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"pca.components_.T[:, 0]."
@@ -4682,7 +4407,9 @@
{
"cell_type": "code",
"execution_count": 24,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
@@ -4734,7 +4461,9 @@
{
"cell_type": "code",
"execution_count": 25,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"pca = PCA()\n",
@@ -4755,7 +4484,9 @@
{
"cell_type": "code",
"execution_count": 26,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"pca = PCA(n_components=0.95)\n",
@@ -4800,7 +4531,9 @@
{
"cell_type": "code",
"execution_count": 27,
- "metadata": {},
+ "metadata": {
+ "collapsed": false
+ },
"outputs": [],
"source": [
"from sklearn.decomposition import KernelPCA\n",
@@ -4838,25 +4571,7 @@
]
}
],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 3",
- "language": "python",
- "name": "python3"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.6.8"
- }
- },
+ "metadata": {},
"nbformat": 4,
"nbformat_minor": 4
}
diff --git a/doc/src/week43/week43.do.txt b/doc/src/week43/week43.do.txt
index 31808bbda..90d46b9d7 100644
--- a/doc/src/week43/week43.do.txt
+++ b/doc/src/week43/week43.do.txt
@@ -2411,17 +2411,19 @@ o "Introduction to Partial Differential Equations by A. Tveito, R. Winther":"htt
The principal component analysis deals with the problem of fitting a
low-dimensional affine subspace $S$ of dimension $d$ much smaller than
-the totaldimension $D$ of the problem at hand (our data
+the total dimension $D$ of the problem at hand (our data
set). Mathematically it can be formulated as a statistical problem or
a geometric problem. In our discussion of the theorem for the
-classical PCA, we will stay with a statistical approach. This is also
-what set the scene historically which for the PCA.
+classical PCA, we will stay with a statistical approach.
+Historically, the PCA was first formulated in a statistical setting in order to estimate the principal component of a multivariate random variable.
We have a data set defined by a design/feature matrix $\bm{X}$ (see below for its definition)
* Each data point is determined by $p$ extrinsic (measurement) variables
* We may want to ask the following question: Are there fewer intrinsic variables (say $d << p$) that still approximately describe the data?
* If so, these intrinsic variables may tell us something important and finding these intrinsic variables is what dimension reduction methods do.
+A good read is for example "Vidal, Ma and Sastry":"https://www.springer.com/gp/book/9780387878102".
+
!split
===== Introducing the Covariance and Correlation functions =====
@@ -2706,12 +2708,10 @@ print(covariance_matrix)
We note here that the covariance is zero for the first rows and
columns since all matrix elements in the design matrix were set to one
-(we are fitting the function in terms of a polynomial of degree $n$).
-
-This means that the variance for these elements will be zero and will
-cause problems when we set up the correlation matrix. We can simply
+(we are fitting the function in terms of a polynomial of degree $n$). We would however not include the intercept
+and wee can simply
drop these elements and construct a correlation
-matrix without these elements.
+matrix without them.
!split
@@ -3013,7 +3013,7 @@ $\bm{z}_i$ with at most $l$ vectors, with $l << p$, defined by the
orthogonal projection of the data onto the columns spanned by the
eigenvectors of the covariance(correlations matrix).
-The proof which follows will be updated by mid January 2020.
+
!split
===== Proof of the PCA Theorem =====
@@ -3132,12 +3132,12 @@ discussion in chapter 12.2 of Murphy's text has also a nice link with
the Singular Value Decomposition theorem. For categorical data, see
chapter 12.4 and discussion therein.
-Additional part of the proof for the other eigenvectors will be added by mid January 2020.
+For more details, see for example "Vidal, Ma and Sastry, chapter 2":"https://www.springer.com/gp/book/9780387878102".
!split
===== Geometric Interpretation and link with Singular Value Decomposition =====
-This material will be added by mid January 2020.
+For a detailed demonstration of the geometric interpretation, see "Vidal, Ma and Sastry, section 2.1.2":"https://www.springer.com/gp/book/9780387878102".
!split