From 6f55e215deb5289518c4618dd36ca6105e202285 Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Fri, 27 Aug 2021 07:36:50 +0200 Subject: [PATCH] update week34 --- doc/BookChapters/chapter1.dlog | 9 + doc/BookChapters/chapter1.do.txt | 39 ++-- .../_build/.doctrees/chapter1.doctree | Bin 819089 -> 816384 bytes .../_build/.doctrees/environment.pickle | Bin 184696 -> 184724 bytes .../_build/html/_images/chapter1_11_0.png | Bin 6624 -> 6573 bytes .../_build/html/_images/chapter1_13_1.png | Bin 9441 -> 9329 bytes .../_build/html/_images/chapter1_27_0.png | Bin 13644 -> 14031 bytes .../_build/html/_images/chapter1_3_0.png | Bin 9599 -> 9959 bytes .../_build/html/_images/chapter1_61_10.png | Bin 26084 -> 25483 bytes .../_build/html/_sources/chapter1.ipynb | 37 +-- doc/LectureNotes/_build/html/chapter1.html | 186 +++++++-------- doc/LectureNotes/_build/html/searchindex.js | 2 +- .../_build/jupyter_execute/chapter1.ipynb | 212 +++++++++--------- .../_build/jupyter_execute/chapter1.py | 37 +-- .../_build/jupyter_execute/chapter1_11_0.png | Bin 6624 -> 6573 bytes .../_build/jupyter_execute/chapter1_13_1.png | Bin 9441 -> 9329 bytes .../_build/jupyter_execute/chapter1_27_0.png | Bin 13644 -> 14031 bytes .../_build/jupyter_execute/chapter1_3_0.png | Bin 9599 -> 9959 bytes .../_build/jupyter_execute/chapter1_61_10.png | Bin 26084 -> 25483 bytes doc/LectureNotes/chapter1.ipynb | 37 +-- doc/pub/week34/html/._week34-bs038.html | 13 +- doc/pub/week34/html/._week34-bs066.html | 21 -- doc/pub/week34/html/week34-reveal.html | 19 +- doc/pub/week34/html/week34-solarized.html | 19 +- doc/pub/week34/html/week34.html | 19 +- doc/pub/week34/ipynb/ipynb-week34-src.tar.gz | Bin 103349 -> 103349 bytes doc/pub/week34/ipynb/week34.ipynb | 19 +- doc/src/week34/week34.do.txt | 17 +- 28 files changed, 342 insertions(+), 344 deletions(-) diff --git a/doc/BookChapters/chapter1.dlog b/doc/BookChapters/chapter1.dlog index 875fd7507..4f6d8fde4 100644 --- a/doc/BookChapters/chapter1.dlog +++ b/doc/BookChapters/chapter1.dlog @@ -43,3 +43,12 @@ Translating doconce text in chapter1.do.txt to ipynb Failed to remove ans_at_end environment Failed to remove sol_at_end environment output in chapter1.ipynb +Translating doconce text in chapter1.do.txt to ipynb +*** replacing \bm{...} by \boldsymbol{...} (\bm is not supported by MathJax) + +*** warning: latex envir \begin{bmatrix} does not work well in Markdown. Stick to \[ ... \], equation, equation*, align, or align* environments in math environments. + +*** warning: latex envir \begin{bmatrix} does not work well in Markdown. Stick to \[ ... \], equation, equation*, align, or align* environments in math environments. +Failed to remove ans_at_end environment +Failed to remove sol_at_end environment +output in chapter1.ipynb diff --git a/doc/BookChapters/chapter1.do.txt b/doc/BookChapters/chapter1.do.txt index 5e738504e..5c3670c10 100644 --- a/doc/BookChapters/chapter1.do.txt +++ b/doc/BookChapters/chapter1.do.txt @@ -495,11 +495,13 @@ ways of dealing with outliers. The Huber cost function is defined as !bt \[ -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-\frac {1}{2}\del\ -ta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(\bm{a})=\left\{\begin{array}{cc}\frac{1}{2} \bm{a}^{2}& \text{for }|\bm{a}|\leq \delta\\ \delta (|\b\ +m{a}|-\frac{1}{2}\delta ),&\text{otherwise}.\end{array}\right. \] !et -Here $a=\bm{y} - \bm{\tilde{y}}$. +Here $\bm{a}=\bm{y} - \bm{\tilde{y}}$. + + We will discuss in more detail these and other functions in the various lectures. We conclude this part with another example. Instead of a linear $x$-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn. @@ -2181,7 +2183,7 @@ It also common to split the data in a _training_ set and a _testing_ set. A typi for testing. This can be done as follows with our design matrix $\bm{X}$ and data $\bm{y}$ (remember to import _scikit-learn_) !bc pycod # split in training and test data -X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2) +# X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2) !ec Then we can use the standard scaler to scale our data as !bc pycod @@ -2211,16 +2213,27 @@ x = np.linspace(-3, 3, n).reshape(-1, 1) y = np.exp(-x**2) + 1.5 * np.exp(-(x-2)**2)+ np.random.normal(0, 0.1, x.shape) !ec where $y$ is the function we want to fit with a given polynomial. -!bsubex -Write a first code which sets up a design matrix $X$ defined by a fifth-order polynomial. Scale your data and split it in training and test data. -!esubex -!bsubex -Perform an ordinary least squares and compute the means squared error and the $R2$ factor for the training data and the test data, with and without scaling. -!esubex -!bsubex -Add now a model which allows you to make polynomials up to degree $15$. Perform a standard OLS fitting of the training data and compute the MSE and $R2$ for the training and test data and plot both test and training data MSE and $R2$ as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)? +Write a first code which sets up a design matrix $X$ defined by a +fifth-order polynomial. Scale your data and split it in training and +test data. + + + +Perform an ordinary least squares and compute the means squared error +and the $R2$ factor for the training data and the test data, with and +without scaling. + + + +Add now a model which allows you to make polynomials up to degree +$15$. Perform a standard OLS fitting of the training data and compute +the MSE and $R2$ for the training and test data and plot both test and +training data MSE and $R2$ as functions of the polynomial +degree. Compare what you see with Figure 2.11 of Hastie et al. Comment +your results. 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a/doc/LectureNotes/_build/html/_sources/chapter1.ipynb b/doc/LectureNotes/_build/html/_sources/chapter1.ipynb index 6209e3881..756ce7708 100644 --- a/doc/LectureNotes/_build/html/_sources/chapter1.ipynb +++ b/doc/LectureNotes/_build/html/_sources/chapter1.ipynb @@ -629,8 +629,8 @@ "metadata": {}, "source": [ "$$\n", - "H_{\\delta}(a)=\\left\\{\\begin{array}\\frac{1}{2}a^{2}&{\\text{for }}|a|\\leq \\delta ,\\\\ \\delta (|a|-\\frac {1}{2}\\del\\\n", - "ta ),&{\\text{otherwise.}\\end{array}\\right.\n", + "H_{\\delta}(\\boldsymbol{a})=\\left\\{\\begin{array}{cc}\\frac{1}{2} \\boldsymbol{a}^{2}& \\text{for }|\\boldsymbol{a}|\\leq \\delta\\\\ \\delta (|\\b\\\n", + "m{a}|-\\frac{1}{2}\\delta ),&\\text{otherwise}.\\end{array}\\right.\n", "$$" ] }, @@ -638,7 +638,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Here $a=\\boldsymbol{y} - \\boldsymbol{\\tilde{y}}$.\n", + "Here $\\boldsymbol{a}=\\boldsymbol{y} - \\boldsymbol{\\tilde{y}}$.\n", + "\n", + "\n", "We will discuss in more\n", "detail these and other functions in the various lectures. We conclude this part with another example. Instead of \n", "a linear $x$-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn." @@ -3412,7 +3414,7 @@ "outputs": [], "source": [ "# split in training and test data\n", - "X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)" + "# X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)" ] }, { @@ -3475,18 +3477,27 @@ "metadata": {}, "source": [ "where $y$ is the function we want to fit with a given polynomial.\n", - "!bsubex\n", - "Write a first code which sets up a design matrix $X$ defined by a fifth-order polynomial. Scale your data and split it in training and test data. \n", - "!esubex\n", "\n", - "!bsubex\n", - "Perform an ordinary least squares and compute the means squared error and the $R2$ factor for the training data and the test data, with and without scaling.\n", - "!esubex\n", "\n", - "!bsubex\n", - "Add now a model which allows you to make polynomials up to degree $15$. Perform a standard OLS fitting of the training data and compute the MSE and $R2$ for the training and test data and plot both test and training data MSE and $R2$ as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)?\n", + "Write a first code which sets up a design matrix $X$ defined by a\n", + "fifth-order polynomial. Scale your data and split it in training and\n", + "test data.\n", "\n", - "!esubex" + "\n", + "\n", + "Perform an ordinary least squares and compute the means squared error\n", + "and the $R2$ factor for the training data and the test data, with and\n", + "without scaling.\n", + "\n", + "\n", + "\n", + "Add now a model which allows you to make polynomials up to degree\n", + "$15$. Perform a standard OLS fitting of the training data and compute\n", + "the MSE and $R2$ for the training and test data and plot both test and\n", + "training data MSE and $R2$ as functions of the polynomial\n", + "degree. Compare what you see with Figure 2.11 of Hastie et al. Comment\n", + "your results. For which polynomial degree do you find an optimal MSE\n", + "(smallest value)?" ] } ], diff --git a/doc/LectureNotes/_build/html/chapter1.html b/doc/LectureNotes/_build/html/chapter1.html index 6aea9d947..244b648c0 100644 --- a/doc/LectureNotes/_build/html/chapter1.html +++ b/doc/LectureNotes/_build/html/chapter1.html @@ -781,13 +781,13 @@ example of the functionality of Scikit-Learn.

The intercept alpha: 
- [2.15024669]
+ [1.99723611]
 Coefficient beta : 
- [[4.89975818]]
-Mean squared error: 0.26
+ [[5.1007125]]
+Mean squared error: 0.22
 Variance score: 0.90
 Mean squared log error: 0.01
-Mean absolute error: 0.42
+Mean absolute error: 0.36
 
_images/chapter1_13_1.png @@ -844,11 +844,11 @@ ways of dealing with outliers.

The Huber cost function is defined as

\[\begin{split} -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-\frac {1}{2}\del\ -ta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(\boldsymbol{a})=\left\{\begin{array}{cc}\frac{1}{2} \boldsymbol{a}^{2}& \text{for }|\boldsymbol{a}|\leq \delta\\ \delta (|\b\ +m{a}|-\frac{1}{2}\delta ),&\text{otherwise}.\end{array}\right. \end{split}\]
-

Here \(a=\boldsymbol{y} - \boldsymbol{\tilde{y}}\). -We will discuss in more +

Here \(\boldsymbol{a}=\boldsymbol{y} - \boldsymbol{\tilde{y}}\).

+

We will discuss in more detail these and other functions in the various lectures. We conclude this part with another example. Instead of a linear \(x\)-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn.

@@ -888,7 +888,7 @@ a linear \(x\)-dependence we s
_images/chapter1_27_0.png -
0.0050000000000000044
+
0.005000000000000007
 
@@ -1283,6 +1283,38 @@ functionality.

warnings.warn( /Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet. warnings.warn( +/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet. + warnings.warn( +
+
+
/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+
+
+
/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+
+
+
/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
+/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
+  warnings.warn(
 
/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
@@ -1317,42 +1349,12 @@ functionality.

warnings.warn( /Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet. warnings.warn( -/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet. - warnings.warn( -/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet. - warnings.warn(
/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
   warnings.warn(
 /Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
   warnings.warn(
-/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
-  warnings.warn(
-
-
-
/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
-  warnings.warn(
-/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
-  warnings.warn(
-/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
-  warnings.warn(
-
-
-
/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
-  warnings.warn(
-/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
-  warnings.warn(
-/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
-  warnings.warn(
-
-
-
/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
-  warnings.warn(
-/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
-  warnings.warn(
-/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
-  warnings.warn(
 
_images/chapter1_61_10.png @@ -2330,13 +2332,13 @@ but now splitting the data into a training set and a test set.

Training R2
-0.9999868619217517
+0.9999878260589065
 Training MSE
-5.965885569080809
+5.415634483874318
 Test R2
-0.9999794306626945
+0.999974281880048
 Test MSE
-8.300162456113691
+11.653095390463358
 
@@ -2747,31 +2749,31 @@ techniques.

MSE before scaling: 0.00
-R2 score before scaling 1.00
+R2 score before scaling 0.99
 Feature min values before scaling:
- [1.00000000e+00 2.54152940e-03 1.38207279e-03 6.45937170e-06
- 3.51257863e-06 1.91012519e-06 1.64166831e-08 8.92732185e-09
- 4.85463934e-09 2.63993205e-09 4.17234827e-11 2.26890510e-11
- 1.23382086e-11 6.70946493e-12 3.64857826e-12 1.06041458e-13
- 5.76648901e-14 3.13579199e-14 1.70523024e-14 9.27296891e-15
- 5.04260073e-15]
+ [1.00000000e+00 2.31109204e-04 5.13266452e-03 5.34114641e-08
+ 1.18620601e-06 2.63442451e-05 1.23438810e-11 2.74143127e-10
+ 6.08839750e-09 1.35216172e-07 2.85278450e-15 6.33569998e-14
+ 1.40708470e-12 3.12497018e-11 6.94019247e-10 6.59304755e-19
+ 1.46423858e-17 3.25190225e-16 7.22209371e-15 1.60394236e-13
+ 3.56216797e-12]
 Feature max values before scaling:
- [1.         0.99817842 0.99945628 0.99636015 0.99763569 0.99891285
- 0.9945452  0.99581841 0.99709325 0.99836973 0.99273355 0.99400444
- 0.99527696 0.99655111 0.99782689 0.9909252  0.99219378 0.99346398
- 0.99473581 0.99600927 0.99728435]
+ [1.         0.99997737 0.9950799  0.99995475 0.99505739 0.99018401
+ 0.99993212 0.99503487 0.99016161 0.98531221 0.9999095  0.99501236
+ 0.99013921 0.98528992 0.98046438 0.99988687 0.99498985 0.9901168
+ 0.98526763 0.9804422  0.9756404 ]
 Feature min values after scaling:
- [ 0.         -1.63437572 -1.76504618 -1.03871832 -1.08415761 -1.13457922
- -0.81620806 -0.83935285 -0.86436607 -0.8914984  -0.69347005 -0.70790937
- -0.72312577 -0.73921714 -0.75629493 -0.61234223 -0.6226921  -0.63339159
- -0.64447921 -0.65599927 -0.66800261]
+ [ 0.         -1.7621419  -1.74382593 -1.13803928 -1.14662074 -1.15475232
+ -0.89942598 -0.90825063 -0.9171356  -0.92605247 -0.76570177 -0.77317984
+ -0.78080633 -0.78857629 -0.79648291 -0.67708423 -0.68316185 -0.68937695
+ -0.69573183 -0.7022283  -0.70886748]
 Feature max values after scaling:
- [0.         1.86574276 1.72218808 2.41770932 2.31730641 2.21347282
- 2.88297395 2.79328828 2.70234019 2.60999846 3.291614   3.20772452
- 3.12283463 3.03697069 2.95014575 3.65766387 3.57871326 3.49865673
- 3.41754964 3.33544681 3.25240108]
+ [0.         1.71669651 1.63315151 2.21623344 2.15324631 2.088871
+ 2.62856593 2.5755035  2.52158335 2.46675058 2.987902   2.94034531
+ 2.8923     2.84372853 2.79459035 3.30968181 3.2653678  3.22076362
+ 3.1758506  3.13060772 3.08501147]
 MSE after  scaling: 0.00
-R2 score for  scaled data: 1.00
+R2 score for  scaled data: 0.99
 
@@ -2907,39 +2909,7 @@ for testing. This can be done as follows with our design matrix
# split in training and test data
-X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)
-
-
-
-
-
---------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-<ipython-input-38-9b9cf4fa1a95> in <module>
-      1 # split in training and test data
-----> 2 X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)
-
-~/opt/anaconda3/lib/python3.8/site-packages/sklearn/model_selection/_split.py in train_test_split(*arrays, **options)
-   2125         raise TypeError("Invalid parameters passed: %s" % str(options))
-   2126 
--> 2127     arrays = indexable(*arrays)
-   2128 
-   2129     n_samples = _num_samples(arrays[0])
-
-~/opt/anaconda3/lib/python3.8/site-packages/sklearn/utils/validation.py in indexable(*iterables)
-    290     """
-    291     result = [_make_indexable(X) for X in iterables]
---> 292     check_consistent_length(*result)
-    293     return result
-    294 
-
-~/opt/anaconda3/lib/python3.8/site-packages/sklearn/utils/validation.py in check_consistent_length(*arrays)
-    253     uniques = np.unique(lengths)
-    254     if len(uniques) > 1:
---> 255         raise ValueError("Found input variables with inconsistent numbers of"
-    256                          " samples: %r" % [int(l) for l in lengths])
-    257 
-
-ValueError: Found input variables with inconsistent numbers of samples: [1000, 100]
+# X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)
 
@@ -2973,16 +2943,20 @@ the aims is to reproduce Figure 2.11 of
\(y\) is the function we want to fit with a given polynomial. -!bsubex -Write a first code which sets up a design matrix \(X\) defined by a fifth-order polynomial. Scale your data and split it in training and test data. -!esubex

-

!bsubex -Perform an ordinary least squares and compute the means squared error and the \(R2\) factor for the training data and the test data, with and without scaling. -!esubex

-

!bsubex -Add now a model which allows you to make polynomials up to degree \(15\). Perform a standard OLS fitting of the training data and compute the MSE and \(R2\) for the training and test data and plot both test and training data MSE and \(R2\) as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)?

-

!esubex

+

where \(y\) is the function we want to fit with a given polynomial.

+

Write a first code which sets up a design matrix \(X\) defined by a +fifth-order polynomial. Scale your data and split it in training and +test data.

+

Perform an ordinary least squares and compute the means squared error +and the \(R2\) factor for the training data and the test data, with and +without scaling.

+

Add now a model which allows you to make polynomials up to degree +\(15\). Perform a standard OLS fitting of the training data and compute +the MSE and \(R2\) for the training and test data and plot both test and +training data MSE and \(R2\) as functions of the polynomial +degree. Compare what you see with Figure 2.11 of Hastie et al. Comment +your results. For which polynomial degree do you find an optimal MSE +(smallest value)?

diff --git a/doc/LectureNotes/_build/html/searchindex.js b/doc/LectureNotes/_build/html/searchindex.js index c206f6fb9..4d84307b6 100644 --- a/doc/LectureNotes/_build/html/searchindex.js +++ b/doc/LectureNotes/_build/html/searchindex.js @@ -1 +1 @@ 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Clustering Analysis","3. Linear Regression","13. Building a Feed Forward Neural Network","4. Resampling Methods","5. Ridge and Lasso Regression","6. Logistic Regression","7. Support Vector Machines, overarching aims","8. Decision trees, overarching aims","9. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","10. Basic ideas of the Principal Component Analysis (PCA)","12. Neural networks","Content in Jupyter Book","Applied Data Analysis and Machine Learning, FYS-STK3155/4155 at the University of Oslo, Norway","2. Linear Algebra, Handling of Arrays and more Python Features","Teaching schedule with links to material","1. Elements of Probability Theory and Statistical Data Analysis","Teachers and 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ZdC2LvLVY8vZ+JDYNJ51Lgyady6Eobgwybhzw7LMDnx87Fti8ub3yVU7nALjuvk5s5gP5ez/SUDuTzikQSDKiuPuVWe3X2j2O83Z3rry9H2ko1tlH22VmU8zsV2a23MyWmdk1cW9TMijr2RU5yQd/Wd7eT7PULdaUJMYI9gK4luTRAE4B8D/N7OgEtitZEkV2xdixzT3fjLxN55C399OMnEz7kKTYAwHJDSQfD37fBmAF3J3OJE1p1JjaHWD//OeBIUPKnxsyxD3frqy3WJqVt/fTjGYTE9R6SDZ9FMA0AGsBjK7y2uUAFgJYOHXq1EjTqqRCVKmcaYgzfTRvqal5ez9hmZUf24WHWXGZwr4pPN+J34UKaCN9NLHBYjMbCeDXAOaR/F69ZTVYHDMNJEqeNTq+q2VU1Vq2g2R6sBgAzGwIgO8C6GsUBCQBWR1IVBNdotCoW6xa11GltL8L1cT4/Ugia8gA3AlgBcnPxb09CSGLA4ka4OtcWQvgjRITwpzk4/gutLOf4v5+tNqnFPYB4NUACGAJgEXB4031/qcjppjoZFkcIyj011Y+urvTK5M0lsVjqZFax1qc5W93P4X4fqCNMYJEB4vDPhQIEpC1gcQwA3ySPZ0YwKudlAvHX63vQrvfl3b3U4jvhwKBdL4sn1CyFjSzpFMDeDOfaRStnnb3U63vx7hx5HXXkW94gwKB5EBWuxiyWq6syGIAjzpwR/Ee21nHtm3kjTeSQ4ZUX8eQIWRPjwKB5EQWat6VZRg7NnsnuizJWqCMozxRtHrClKu/n3z6afL++8l588i5c8kZM8q3P2iQ+zlqFHnFFeTixeSuXSSpQCASiWpf1lqPrHd9JCkLAbwgjhZK2HU22g+lr0+dSn760+65D36QfP3rXTdP6foPO4x829vIm28mFywg1651waKGdgKBZh8VKah1IVI1HXjBkReimO68Upgpvest85a3AEuWAIsWAYsXu59PPAHs2uWWGzoUOPZYoKcHOO4493P2bGD//ZsqZjsXlPlx8/q+PncRydq1Lj943jzNyS4Dhb2IyJc5ezpRHDeTL5wr6p1Das1vdMklwN69xefGjnUn+ve8x/3s6QGOOGLgHFoJy38gqIzUhQsxAAUDKVfrJDJ2LDBypCoSnWDevOo183YDd29v+We+Z4+r1S9a5B61WpJ79wKf+ETxpD9xYv37aqQk/11DmldHwtJdvfIh6h6ArVuLXTqFn0uXArt3u9eHDXPdToW/SyV4ntEdyuqJo89Q8kvdiP4igXXrirX8wmPVquIy48cXa/eFx8yZwDe/GX8losGxqUBQj1oEIv6qdfLcvRtYsWLgSX/LFvd/ZsCMGeUn/OOOAyZMqN21E2clIkRrVYGgHjX3RfxU7bvf1QVMmgRs2OD6+QFgv/1clk4hY6enx2XxjByZRqmrC1GhVdZQPWFG/EWk85HupFjox//sZ4GXXipfZt8+YONG4AMfKJ70Z8xwASLLYp46Pv8tAhHJn127gOXLy7t1Fi92A7uA676pdW7rxPHBmFsEidyYRkQyImv3Dgjj2WeBX/4S+NzngHe+03XhjBwJnHACcNllwFe/6rp5/vEfgdtvBx55BNi2zZ0kq0nzvhutivke1PnvGhIRJ+vX1PT3uwydQtdO4bFuXXGZCRNcd87ZZxe7dg4/vHrXTlzXFKQh5i5udQ2J+CJLGXQ7dwLLlg3s2tm2zb0+aBBw5JEDs3YOOqi57XiUDqysIRFpLK1rajZvHnjCX7HCDdwCrpunkLFT+DlrlsvmkdCUNSSSZ1HVauOYh6dUfz+wcuXA3Pz164vLTJrkTvTnnlus6R92mAtSkhoFgqzyqEkrdUTZrx9ln/lLL7lpFkpP+EuWANu3u9e7uoCjjgJOP728a2fcuOa3JbFT11AW6SI4KYi6X7+VCsbGjeXdOosWAU8+WexOGjWqvFunpwc45hg3B48kRmMEeZOlQT1JV5h+/ahaj/v2AU89NTBrZ8OG4jJTpgyca6eQjiqp0hhB3oS5ilBdR35o1K/fatfRjh3l0ygXunYK6xk8GDj6aOCMM8q7dsaMieRtSca0emuzOB+R3KoyS7fPa1ajW+Nl7T6xUenkzywujT7rMLdR3LCB/MlPyE99inz728kjjyze+xYg99+fPPVU8ppryLvuIh9/nNy5M/G32hQdKwNA9yyuEOWJMo0DLoovf6fJa3CLQr1jsNaN1QHyjW8kDz544DFy7rnkjTeS3/8+uWpV3fvgZpKOlaoUCCpFdaJM84Br5ctfuKF6J9aW8hjc4rRtG/m735FjxtQOBD095CWXkLfdRj74IPncc2mXOho6VqpSIKjU6EQZVr0DLs2TbaNydWJtKarPLG/6+8n168n77yfnzSPnziVnzqzfEhg2jLz77rRLHh8dK1W1EwjymTUUVdZNrYwNwKVzppXeWS+99IYbOjPjSJlS7v62f/pTeZrmokXApk3FZQ49dGDWzm9+41figI6VqtrJGkq99l/tkZkxglo1766u2jXyRuWKqhVRa131aopZ7irq1JZMq154gXz4YfJLXyLf9S5yzhxXky+896FDyRNOIC+7jPzCF8iHHiK3bEm71Nng27ESEtQ1VEUUJ91aB1y9E22z64r64K0VvDrhS9OJYxuN9PeT69aRP/whecst5HnnkdOnl38eY8aQr3sdee215Ne+Ri5ZQu7enXbJsy2Px0qb2gkE+ewailK1fP1Wul+Sas5W6zaqxpdmdJLXW+zZ4664rbwg69lni8tMn15+BW5Pj5t/p9Z9cEVC0gVlcal3Eml2zpaYbzX3ssp5y2sF+qi3m0Vxzr+/dau7AKv0hL90qbspOgC84hXuvrdvfWv5fXBHj25vuyIxUIuglkbz/TRb00xrgMvngbUo3jvpboxSOY3yypXFZcaNA44/vvwK3COOcFfniiREcw3FIY7JvtqdSK6Vbg6fJ7Brdv793bvdPPmVXTvPP1/8v+nTB2btTJigrh1JnbqG4hB1V067t5prtZsj5lvcZVq9eXq2bBl4wl+2zPXzA27mzNmzgblzy7t2Ro5MqvQiyWl1lDnsA8BdADYCWBr2fyLJGmpX1q5ezFp50tJMtki1TK2uLnLcuPLnDjrITcfw4Q+TX/86uXw5uWdPUu9IouRxNhHayBpKokVwN4AvAfhapGuNOxskaze+TmqwOcsatYp27QKWLy+v6Vd2DY0fD5x6annXziGHJPYWJEZxJgfkXasRpJkHgGmIskWQVE5+lmoXahHU3gcjRpCzZ5ODB5cfD6ecQl55JXn77eQjj5Dbt6f9DiROnn9HkPXrCMxsGoAfkZxVZ5nLAVwOAFOnTj1xTbW+3QIfM2HyPuhbq4VHAqtWudr9eefV/v+zziq/S9b06e52ieKPZpMDcibzU0wg6haBr5NOZamFEqVqLbzBg8kjjiBHj67+WXtY48uNuI5jtQhabhF05v3lCndnCvt8p+nrK97+b9o09zfgasirV7vazerVnd0S2LwZ+MUvgFtvBa64YuCV0Hv3uvd40UWu1fOHPwB33eVaQaXSHLeR5hVatmvWuNN0oR+/cIy3Y948HR+tajWCNPNAp44RpCFv723fPvIvfyG//W3yhhvIs88mJ01qXMuv1cLLa6vIF3HX2j0+PpDlMQIz+waA0wCMA/A3ADeSvLPe/4S6oCyP9+zt6wMuvtjdRLxSJ4x/vPSSm2ahNGtn8WJg+3b3elcXcNRR5XPtHHcccNJJ/o35+Mrzfvw46criPGg0WVwSX5RmguvGjQMvyHryyWIZR40aOLnaMce4C7WqbTfPA+FS5GOiR0J0ZXEe3HBD/RlD4x7/qJWDTQInnzxwrp1nnin+75Qp7kR/3nnFWv6hh7raXxg+X/3sm6xdnyMA1CLIjkZ3Q4u7dlyrpmZWLNfgwa5rp7SWf9xxwNix8ZVL8qedbt08dglHRC2CPKg1L05XVzxB4G9/K6/l17pug3TZOj09wNFHu+mVRdrR29va8awrh2PTmemjSamVxhmHWqlv99zT3kG+b5/ru7/vPuD664Ezz3RTKhxyiPv9+uuB3/8e2G+/6v/f3Q1ceqmbZtnHIJDkMSD1Ves+3bHDPS9tUYuglqRrH1H0k2/fDjzxRPnNz5cscdk8ADBkiKvVn3lmedfOgQfWHrD1ue9WNdBs0Xxb8Wk17zTOx8vXEaSZE5zlqxT7+8lnniF//GPyk58kzz+fnDmz/IrrAw4gTzuNfN/7yLvvJhctInftqr/eNPd3FvO/s3wM+EifR13I5c3r076wKuppLFo90e3ZQy5bRvb1kR/6EHnGGeT48eVlOvRQ8q1vJW+6ifzBD8jVq12w6BRpf9a1+DqVSVZl9TjJiHYCQXazhjZvTjffOMp857B58tu2Fe+DW+jaeeIJYOdO9/rQocCsWeX5+bNnAwcc0Fx5siarueVZLZfPlDVUUz4vKHv88XSvQIzyIqdaJ5Tx44Frrilm7jz1VPG1MWMG3hLxyCNdP3/eZPVqU13oJh0kn+mj9W4zmISoLnLas6f2YNamTcDHPgYcfrg70V98cXEAd/Jkf+6Dm/ZnXYsudBNPZLdF8P73d15t7IUXil06hZ9Ll7o7Z1Vz8MHAn/8MjB6dZCmzRzVvkba10yLI7nUEvb3uRNDd7WrG3d3ZOTGQwLp1wA9/CNxyi5ta4fDDgf33B177WuC97wV+8AOXlnn11cBVVw2cY2f4cDcFs+9BAMj2Z50GXbsgSWt1lDnORyZuXl+weze5eDF5zz3k+99Pnn46OWZMeebCjBnk3LnkvHnk/feT69cPzNrJYnpkVvi2b+q937CZMb7tM2kIuUwfTcPzz5MPPkjedht56aXk8ceTQ4cWv5DDhpEnn0y++93kl79M/va35AsvpFPWvMhqSmBcJ9pG7zdMrnxW95mkqp1AkN0xgjgnnSPd4F/pXDuLFpWnBI4f76ZVKM3amTHDTbwm0cliimacYxaN3m+YDKos7jPfZDCNNZ/po1EFgt27geXLB06jvGWLe90MmDlz4IyahxziT9ZOmrKYOhrnibbR+w2z7Szus7AyeAJtWkaTG/KZPtqK554bmLWzfLlL4QTchzV7NvD2txdP+sceC4wYkV6ZfdbX505q1e7IlmbqaJxz2jRKlQ0zX39W020bycvcTfUmv+uk91Gq1T6lOB8Nxwj6+8mVK8nvfY/8+MfJc84hp04t7zM95BDyzDPJ668n77uPfPJJcu/eJnvdJDbV+rmz0t8d55w2Yfr3G41PdOoYQdjxj6wPgmd06hHkerB4507yscfIO+8kr76afM1ryNGjizt/0CDyqKPICy8kP/MZ8oEHyL/+NaJd67k4v5S1TgpdXel/+eM+0UaxXzvhhFmp0Qm0UwJcRie/y18gmDyZfMc7yGOPJQcPLu7oESPIV72KvOoq8o47yEcfJV98MeLdKSSrfymHDiXHjo3m5JPRWtXLOvFEm3WNTqAZPcEOkNGA1U4gyOZgsRkXTpw4cK6dww8Pfx9caU+tQctS7QyQKfPFP40GWTtpEDyDg975yxrq6eHCRYvSLobf6t1DuVSrJ+6MZl5IzOqdQFU5aEv+pphQrn76wmagtJpJo2kl/NTb607q/f3uZ+nnXet2rT7fJS8h2QwEkr5qX8pqBg1qfS6ceicF8Y8qB6lRIJDqKr+UY8dWvxfCvn2uiyeJidE0GVv+qXKQCgUCqa30S7l5M/Af/wF0dQ1crnAxTZwKYwpr1rixi8LFSAoGIm3zLxCoVtm63t7a2RtRXHVbT72rOUWkLX4FAtUq21drEDnu6Q3inPZBxHN+BQLVKtuXVmZHWgFIxAN+BYK4apU+dTelldmh1EKR2PgVCOKoVfrY3ZRGZodSC2vzqSIiscjmlcVx3ZgmjqtZdTWkpElXaEsgf1cWxyWOWqUGMSVNGveSCPg3l0Nvb7Q1pU69SYjkgyoiEgG/WgRx0CCmpEnZVBKBRAKBmZ1pZn8ys6fM7PoktpkYDWJKmlQRkQjEHgjMrAvAlwGcBeBoABea2dEtrSwL2RHVyqD5USQtqohIBJIYIzgZwFMkVwKAmd0H4FwAy5taSxZufJ2FMohUinrcS7wTe/qomf0DgDNJviv4+x0AXknyPRXLXQ4gOKtiFoClpa/PBo4dAgytXP8eYPcS4IlxwJiJwKQhwNA9wO5ngPWbgeeifC+NyhDltkqMA7A5pnU3JYl9XH/z2dgPGaB9UaR9UXQEyVGt/GNmsoZIzgcwHwDMbGGr+bB5o33haD8UaV8UaV8UmVnLF18lMVi8HsCUkr8nB8+JiEgGJBEI/hvADDM71MyGArgAwIIEtisiIiHE3jVEcq+ZvQfAAwC6ANxFclmDf5sfd7k6iPaFo/1QpH1RpH1R1PK+yORcQyIikhxdWSwi4jkFAhERz6UWCBpNO2FmrzCzbwavP2pm01IoZiJC7IsPmNlyM1tiZr8ws+40ypmEsNORmNl5ZkYzy23qYJh9YWbnB8fGMjP7etJlTEqI78hUM/uVmf0x+J68KY1yJsHM7jKzjWa2tMbrZmZfCPbVEjM7oeFKSSb+gBs0/n8ADoO7QGsxgKMrlvlnALcHv18A4JtplDUj++J0AMOD36/yeV8Ey40C8BCARwDMSbvcKR4XMwD8EcCBwd8HpV3uFPfFfABXBb8fDWB12uWOcX+8FsAJAJbWeP1NAH4CwACcAuDRRutMq0Xw8rQTJHcDKEw7UepcAPcEv38HwOvMzBIsY1Ia7guSvyJZmHT+EbhrMfIozHEBALcA+AyAnUkWLmFh9sW7AXyZ5PMAQHJjwmVMSph9QQCjg9/3B/BMguVLFMmHUP+K/nMBfI3OIwAOMLMJ9daZViCYBGBdyd9PB89VXYbkXgBbAYxNpHTJCrMvSv0TXLTPo4b7ImjmTiF5f5IFS0GY42ImgJlm9lsze8TMzkysdMkKsy/+BcBFZvY0gB8DuDqZomVSs+eU7EwxIY2Z2UUA5gA4Ne2ypMHMBgH4HIBLUi5KVgyG6x46Da6V+JCZHUtyS5qFSsmFAO4meauZ/Q8A/2lms0j2p12wTpBWiyDMtBMvL2Nmg+Gae88mUrpkhZqCw8xeD+AGAOeQ3JVQ2ZLWaF+MgpuQ8EEzWw3X/7kgpwPGYY6LpwEsILmH5CoAf4YLDHkTZl/8E4BvAQDJ3wMYBjchnY+antYnrUAQZtqJBQAuDn7/BwC/ZDASkjMN94WZHQ/gDrggkNd+YKDBviC5leQ4ktNIToMbLzmHZMuTbWVYmO/If8G1BmBm4+C6ilYmWMakhNkXawG8DgDM7Ci4QLAp0VJmxwIA7wyyh04BsJXkhnr/kErXEGtMO2FmNwNYSHIBgDvhmndPwQ2MXJBGWeMWcl/8K4CRAL4djJevJXlOaoWOSch94YWQ++IBAG8ws+UA9gH4EMnctZpD7otrAXzFzN4PN3B8SU4rjjCzb8BVAMYFYyI3AhgCACRvhxsjeROApwDsAHBpw3XmdF+JiEhIurJYRMRzCgQiIp5TIBAR8ZwCgYiI5xQIREQ8p0AgIuI5BQIREc8pEIiEEMx1f0bw+yfM7Itpl0kkKpp0TiScGwHcbGYHATgeQO6u7BZ/6cpikZDM7NdwU32cRnJb2uURiYq6hkRCMLNjAUwAsFtBQPJGgUCkgeDuTn1wd37anuMbwIinFAhE6jCz4QC+B+BakivgbpN5Y7qlEomWxghERDynFoGIiOcUCEREPKdAICLiOQUCERHPKRCIiHhOgUBExHMKBCIinvv/wIUxCkIg4uEAAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", 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" ] @@ -515,18 +515,18 @@ "output_type": "stream", "text": [ "The intercept alpha: \n", - " [2.15024669]\n", + " [1.99723611]\n", "Coefficient beta : \n", - " [[4.89975818]]\n", - "Mean squared error: 0.26\n", + " [[5.1007125]]\n", + "Mean squared error: 0.22\n", "Variance score: 0.90\n", "Mean squared log error: 0.01\n", - "Mean absolute error: 0.42\n" + "Mean absolute error: 0.36\n" ] }, { "data": { - "image/png": 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\n", 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/mj1B3KGHDlbWOieObSAOBGZVSXuCz3qaXrSo95N+npqEBCedNH+fUeYGqnPi2AbiHIFZFbJyAaedlswu2qs/f1rOoFd7fdr2LVvG24TT8MFcdeAcgdmkyXqCv/TS+T1f2r2Huvfrzhlk3dTTgkDE+NvxPZhrojkQmFWh142zczKzrN433Z+veopoJ44nmgOBWRXy3jjz7tdriuhrry1+iuhJG8w1RQvPj4MDgTVbVTeEvDfOvPtdf336FNER8IxnjF7efiZpMJdnKV0oImr3WrVqVZgVbuPGiGXL2g0myWvZsmR7WeefnY2Qkq9Z5+23X2f52y/LNjubfs1mZ6su2UiATTHkPde9hqy5Jr2nS9p4gMsugxe+sPyyTJIpHRHtXkNmw5ikni6dTVhHHpk9KMxBoD8nthcoJRBI2izpZ5KukeRHfauHSbkhdLdp33nn/PfrsGD8JCVfJy2xXYIyawQviYjnDFt1MRu7SbkhZC0Ys3Jl9QEAJi/5OkmJ7ZKUkiOQtBlYHRH35tnfOQIrzdxccqPNM9tmFbZtgxUr0t+rS5v2pOdapsQoOYKyAsEvgB1AAOdFxIIOz5LWAesAZmZmVm3pt26r2bTLWiOgrS432ilNvk6aSUgW/05EPBc4CfgzSS/q3iEizo+I1RGxeuXKlSUVy6yG0qaIXrp04T4nn1xemXrJmrW0brkWy1RKIIiIO1tf7wH+AXh+Gec1G7u0pOi4EqUPPpjdG+j1r5//XkQyOV3V7fBzc7Bz58LtS5bUL9dimQpvGpK0HFgUETtb338DeHdEfDXrM84RWC2lzRi6ZElyg3744X3bhllRLCsAtNW1HT6rXIcdBvfmSgnamNS9aehxwA8k/QT4f8A/9QoCZrWV1nvnkUfmBwEYbN3etGagd7xjYZt7Xcc8ZJ1/+/Zyy2Ej2a/oE0TErcCziz6PWeEGuen22/eRRxa2+0NSm0ibG2hmJv3Ju+p2+LqWywbikcVmeQ1yc1u0CN70pvTcgZQeBCC7NlHXMQ91LZcNxIHALK+0m96SJek39T174KMfnT/Iau3a/l1CIb02UddBUHUtlw3Ek86ZDSJtABokS0zu2TPYsWZn65kAtolU92Sx2fToXD1s8+bk5zVrBhs4tXFjUktws4rVhAOB2TgMkj9o5wDcrGI14UBgNg551gxu68wBpNUwzErmQGA2DmvWpM8QmubQQydnymZrBAcCs1GlDQo7/PAkF9BdS1i6FO6/f3KmbLZGcCAwG0XW1BB33ZWeAzj44GQwWadBRiKbFcCBwGwYabWAtJXCunMAWVMvjGOqiElaJcxqxYHArJfum2taAID8K4UVtTzmpK0SZrXiQGD1VfUTbtrNtdug6wUXNXYgbUI8NzlZTg4EVk91eMLNWisYhl8wvqixA3WdndQmgqeYsHqqw/z7WfMC1XEJxjpcL6uUp5iw6VP1E26vyeHqOMWyp6uwETgQWD0VlVTtJysZ3FbXm6unq7AROBBYPQ37hDtsgjkrAGzcODk3V09XYUMqfIUys6G0b2LdUz73url1ryncTjB3Hi9Nv+6gvqHalHONwEZXVDfPQZ9wB+1CmXdQmNmUc43ARjPsU3gR8iaYDzoIHnxw4X4OANZQrhHYaKoYyJRVA8mTYJYWBoG0WkDVg9nMSuQagY2m7G6evWogGzbMfw/2JZjT8gB796Zvr1Mtx6wEHlBmoyl7IFO/83WvKbzffnDLLQv37/V378FZNoEKHVAm6RuSnj3Mwa0Byh7I1K8G0plg3rJlYRDIkwyuejCbWcny5AjeDnxI0qclHV50gWzClD2QKW8eoLvJZ/fu6mcINaupvoEgIq6KiJcAlwBflXSOpAOLL5pNjDIHMvWqgZx+evaYgMWLx3MOsymUq9eQJAE3Ah8F3gL8s6RTiyyYWaqsGsjatXDBBfP3rdsMoWY11TdZLOly4EnAdcCPgCuAnwNnAvtHxLpxF8rJ4hrpTr72G91btrQawK9/DQccUH5ZzCpU9Oyj64AjIuLEiHhXRFwSETdHxFuAFw5zUpsQZa8JMEjf/bPPzm4GchAwG0ieHMF1kV1t+IMxl8eGVcQAqDIHiw0SdCR4//vnb4tIJojzIDCzgXkcwTToHgAFSXJz1HbtRYvS29iLWJglT9/9tBrAjh1wyCHFXQOzCTERC9NIWizpakmXlHXOxijqyb3MbpS9+u5/5CPZzUCHHJJ87zV7zYZW5lxDZwI3lHi+5ihqAFSZ3SizgksEnHnmwm3dNRUPAjMbWimBQNKRJPmET5RxvsYp6sm9zG6UaUGn2+23JwEgLR/iQWBmQyurRvAh4G1AZsOypHWSNknatHXr1pKKNSWKfHIva7BYO+isWJH+fgQceWR2Uvnkkz0IzGxIhQcCSacA90TElb32i4jzI2J1RKxeuXJl0cWaLtMyAGrtWrj33vnbupuBsnIBl146HdfArAKF9xqS9N+AU4HdwAHAo4CLImJt1mfca6hh0hLB110Hxx67cHtWT6b2ceo46M2sBLXuNRQR74iIIyPiKOC1wLd7BQGrUNmLsXzzm9m9gdKCAPRu8y9j0JvZFPIKZf00ZaWqskcRS3DiifO35ZkbKE9S2d1GzQZSaiCIiO9GxCllnnMkZd8cq1RWP/y0KaIvuyz/5HDd+ZAs7jZqlptrBL00aZDSqP3w+9Wcrr46uxnohQNOWdXZk2l2Nn0fdxs1y82BoJcmDVIapR9+v5qTBM997vzPtJuBRm1689oBZiNzIOilSYOURrmhZtWc1q5dWAu46KJ9zUDjaHqblq6zZhXypHO9NG0is2HXHujVpbNT9z5eJN5sbEbpPupA0E/dF2apg6wbelvW31iZs5uaTblajyOYeGWuxzupspqPTj+9d01hmKa3pnTnNSuRA4GNZtu2JBfQbeNG+PSne3920LzEsDkFBw+zntw0ZMPL6g46iEGa3obJKTQtz2ON5RyBlSstAJx7LpxzTrHnHSan4IS0NcQogWC/cRfGptiuXbB8+cLtZT1MzMyk39R75RSaNBbEbEjOEVg+0sIgkGduoHEaZqxDk8aCmA3JgcB6S5sb6PWvLzcAtA0zeMwjj836ctOQpdu9G5YsWbi96pzSmjWDJXnb+3osiFkmBwJbaBy9gepk0OBh1jBuGrJ90pqBXvWqyQ4CZtaXA4ElN/qsWsBFF+U/jgdumU0kB4Kmk5Ibd6es3kC9bvRNWsTHbMo4EDRVWjPQMcdkNwP1u9E3aREfsynjkcVNNEwyuN8IXc8kalYpzz5q+aTVAvIOCus3QtcDt8wmlgNBE6QFgIMPHqw3UL8bvQdumU0sB4Jpl9UMdP/9gx2n343eS0aaTSwHgrxG6RpZVLfKuTlYsWLfE/9BByU/L1o0WjNQmjw3ei/iYzaRnCzOY5Q57YuaD39uDv7kT+Dhh/PtX8N/ZzMbH69HULRR5rQvaj78fusEj+s8ZjYR3GuoaKPMaV/UfPh5P+95982sDweCPEbpGllUt8q8n3f3TTPrw4Egj1G6RhbVrTJPs5C7b5pZDg4EeYzSNXKYz/bqZZTWG6ht+XI47LDRum964jizxnGyuG6yehk94xnw4x8v3H+c/35F9XAys8LVuteQpAOAy4D9SRbC+VJEnNPrM40OBHl7AxXx71ZUDyczK9wogaCMFcoeAn4vIh6QtAT4gaSvRMSPSjj35OnXy6fIwF1UDyczq7XCcwSReKD145LWq37tUXXRq5ePVGy7vSeOM2ukUpLFkhZLuga4B/hGRFyRss86SZskbdq6dWsZxaqnXs1CRS/4kqeHk5PJZlOnlEAQEXsi4jnAkcDzJR2Xss/5EbE6IlavXLmyjGIVb5CbZlpvIAkWL164b1ELvvTr4eRVyMymUum9hiT9JbArIv571j5TkSzO2wPnvPPgDW9Y+Pn2v0udFnxxMtmstmo9xYSklZIOaX1/IHAi8POizztWwzSH5Fm6UVoYBDpnCJ2bW7iecFtWu32RTTdOJptNpTJ6DR0OXCBpMUng+UJEXFLCecej+8m+3RwCvfvW97pppg0I27Nn/k2/fd49exbumzVieNiy5jUzk14jcDLZbKJ5QFk/wzaH5B0PAOlNP1mfX7wYLrhg4Y19bg5OOy09cIyr6cYDzsxqq9ZNQxNv2OaQtB443XotFJN1/L1704NAVu2h17EGbUbyKmRmU6mMpqHJNmxzSPvmuHbtwvceegiWLh3tvHNzSb7httuSG3lWEMgq67DNSGvW+MZvNmWmr0Yw7mTpsLOH/uAH6UEgon8Q6Hfe7m6cvYJAVlnzJLPNrBkionavVatWxVA2boxYtqzd4JK8li1Lto9i48aI2dkIKfna73id52+/xnne2dn0c3S/Fi/OLquU/hlpuLKaWaWATTHkPXe6ksVV93NP6w20axcceOB4z5M1tqBTvyRu1dfKzMbKyeK2qvq5X3NNehCIGH8QgOz8xOLF+ZO4RS2YY2YTZ7oCQRWTpklw/PHzt/XqDTQOWTfxCy5IehVt3tw/oeseQGbWMl2BoMyn3LS5ge67r9gA0Daum/iaNUnQyBs8zGwqTVf30faNrN2tcmYmCQLjvMHdeis85SkLt5eda3E3TjMbk+mqEcD4n3Lb3VHbNYDuIFB0M5CZWcGmq0YwbmlTKrQdeCB8/OPll8nMbMymr0YwrLSBaO94R3oQAPj1rz34ysymgmsEkD7dQtqo4G6eftnMpoBrBJA+3UIenn7ZzKaAAwH0frLPmkHUg6/MbEo4EEB2r592//zZ2eTn9vrBHnxlZlOk2YHgy19OnxoC9j3xt7ujRsDu3clXD74ysynSzGTx7t2wZMn8bSeeCDfdVNxANDOzmmpeIEirAUhJEPDN38waqDlNQ5dcsjAItGcGjdi3QlfehWwGWQBn3IvlFH1cM2uWYRcyKPI19MI0afbsWbj4yvvel724y+xs/2MOsgBOkYvlFHFcM5tIeGGaDI96FOzcOX9b+/fNWtxFSuYp6mWQRV2KWgDGC8uYWQcvTNPtm99MbuidQWDHjvk3/lHWLhhkAZyiFssZ13HdvGTWeNMVCCKSAHDiifu2nXtusv2QQ+bvO8raBYMEkaIWyxnHcdtTa2zZMlyexMymwvQEgs9/Pnmq7RQB55yTvv8oi7sMEkSKWixnHMdNm1pj1y5PpmfWNMMmF4p8DZQsvueehQnf++/P//lhbdyYJJal5GuvJO0g+xZVhjRSesJcGk/5zKw0NDJZHAGnnQaf/ey+bT/5CTzrWcUWbpo44Ww2NZqXLP7KV5JmoHYQeO97k8DgIDCYMtd4NrPamqxAsG1b0p5/8snJz096UrJAzMyMe74MY5Q8iZlNjXoHgs6ujQcdBCtW7HvvqquSheS//OXx9HxpajfKca/xbGYTp745gre+NX294D/8w+Tm3zaOdu60tYmXLfPTsZlNjFFyBIUHAklPBP4OeBwQwPkR8eFen1m9enVsuvfefDf4UUYItzlpamYTru7J4t3AWRFxLHAC8GeSju37qbwjZ8cxsKqo0b9mZhOg8EAQEXdHxFWt73cCNwBH9P1g3hv8OHq+FDX618xsApSaLJZ0FHA8cEXKe+skbZK0aevWrflv8OPo+eJulGbWYKUliyUdBHwP2BARF/Xa918HlM3NJdMdlLFqWJnnMjMbs1oniwEkLQEuAb4WEX/db/+xTUNtZtYQtU4WSxLwSeCGPEHAzMzKVUaO4N8ApwK/J+ma1uvkEs5rZmY5FL54fUT8AEhZMd7MzOqg3lNMmJlZ4RwIzMwazoHAzKzhHAjMzBrOgcDMrOEcCMzMGs6BwMys4RwIzMwazoHAzKzhHAjMzBrOgcDMrOEcCMzMGs6BwMys4RwIzMwarrSlKgchaSdwY9XlqIkVwL1VF6IGfB328bXYx9din6Mj4uBhPlj4egRDunHYJdemjaRNvha+Dp18LfbxtdhH0tDr+7ppyMys4RwIzMwarq6B4PyqC1AjvhYJX4d9fC328bXYZ+hrUctksZmZlaeuNQIzMyuJA4GZWcNVFggkvVzSjZJulnR2yvv7S7qw9f4Vko6qoJilyHEt/qOk6yX9VNK3JM1WUc4y9LsWHfu9WlJImtqug3muhaTXtP42rpP0ubLLWJYc/0dmJH1H0tWt/ycnV1HOMkj6lKR7JF2b8b4kfaR1rX4q6bl9DxoRpb+AxcAtwJOBpcBPgGO79nkT8LHW968FLqyirDW5Fi8BlrW+f2OTr0Vrv4OBy4AfAaurLneFfxdPA64GHtP6+bFVl7vCa3E+8MbW98cCm6sud4HX40XAc4FrM94/GfgKIOAE4Ip+x6yqRvB84OaIuDUiHgb+Hnhl1z6vBC5off8l4KWSVGIZy9L3WkTEdyJiV+vHHwFHllzGsuT5uwD4r8D7gd+UWbiS5bkWfwr8z4jYARAR95RcxrLkuRYBPKr1/aOBu0osX6ki4jJge49dXgn8XSR+BBwi6fBex6wqEBwB3N7x8x2tban7RMRu4FfAYaWUrlx5rkWn15NE+2nU91q0qrlPjIh/KrNgFcjzd/F04OmSLpf0I0kvL6105cpzLc4F1kq6A7gUeEs5RaulQe8ptZ1iwlJIWgusBn636rJUQdIi4K+B0ysuSl3sR9I89GKSWuJlkp4ZEfdVWaiK/DHwmYj4oKTfBj4r6biI2Ft1wSZBVTWCO4Endvx8ZGtb6j6S9iOp7m0rpXTlynMtkPQyYD3wioh4qKSyla3ftTgYOA74rqTNJO2fF09pwjjP38UdwMUR8UhE/AK4iSQwTJs81+L1wBcAIuKHwAEkE9I1Ua57SqeqAsGPgadJepKkpSTJ4Iu79rkYOK31/R8B345WJmTK9L0Wko4HziMJAtPaDgx9rkVE/CoiVkTEURFxFEm+5BURMfRkWzWW5//IP5LUBpC0gqSp6NYSy1iWPNfiNuClAJJ+iyQQbC21lPVxMfC6Vu+hE4BfRcTdvT5QSdNQROyW9GbgayQ9Aj4VEddJejewKSIuBj5JUr27mSQx8toqylq0nNfiA8BBwBdb+fLbIuIVlRW6IDmvRSPkvBZfA35f0vXAHuA/RcTU1ZpzXouzgI9LeitJ4vj0KX1wRNLnSR4AVrRyIucASwAi4mMkOZKTgZuBXcAZfY85pdfKzMxy8shiM7OGcyAwM2s4BwIzs4ZzIDAzazgHAjOzhnMgMDNrOAcCM7OGcyAwy6E11/2Jre/fI+lvqy6T2bh40jmzfM4B3i3pscDxwNSN7Lbm8shis5wkfY9kqo8XR8TOqstjNi5uGjLLQdIzgcOBhx0EbNo4EJj10VrdaY5k5acHpngBGGsoBwKzHiQtAy4CzoqIG0iWyTyn2lKZjZdzBGZmDecagZlZwzkQmJk1nAOBmVnDORCYmTWcA4GZWcM5EJiZNZwDgZlZw/1/MB/eQrEhaToAAAAASUVORK5CYII=\n", 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" ] @@ -691,8 +691,8 @@ "metadata": {}, "source": [ "$$\n", - "H_{\\delta}(a)=\\left\\{\\begin{array}\\frac{1}{2}a^{2}&{\\text{for }}|a|\\leq \\delta ,\\\\ \\delta (|a|-\\frac {1}{2}\\del\\\n", - "ta ),&{\\text{otherwise.}\\end{array}\\right.\n", + "H_{\\delta}(\\boldsymbol{a})=\\left\\{\\begin{array}{cc}\\frac{1}{2} \\boldsymbol{a}^{2}& \\text{for }|\\boldsymbol{a}|\\leq \\delta\\\\ \\delta (|\\b\\\n", + "m{a}|-\\frac{1}{2}\\delta ),&\\text{otherwise}.\\end{array}\\right.\n", "$$" ] }, @@ -700,7 +700,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Here $a=\\boldsymbol{y} - \\boldsymbol{\\tilde{y}}$.\n", + "Here $\\boldsymbol{a}=\\boldsymbol{y} - \\boldsymbol{\\tilde{y}}$.\n", + "\n", + "\n", "We will discuss in more\n", "detail these and other functions in the various lectures. We conclude this part with another example. Instead of \n", "a linear $x$-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn." @@ -716,7 +718,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -733,7 +735,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.0050000000000000044\n" + "0.005000000000000007\n" ] } ], @@ -1377,6 +1379,50 @@ "name": "stderr", "output_type": "stream", "text": [ + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n", + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n", + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n", + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n", + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n", + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n", + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n", + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n", + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n", + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", + " warnings.warn(\n", "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", " warnings.warn(\n", "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", @@ -1429,10 +1475,6 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n", - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n", "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", " warnings.warn(\n", "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", @@ -1443,44 +1485,6 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n", - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n", - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n", - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n", - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n", - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n", - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n", "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", " warnings.warn(\n", "/Users/mhjensen/opt/anaconda3/lib/python3.8/site-packages/sklearn/neural_network/_multilayer_perceptron.py:582: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", @@ -1489,7 +1493,7 @@ }, { "data": { - "image/png": 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BA1Zua2LPntTeql0WM98KJjXVUuwmtJ9xdv9vaWTn4e6ZbFxv4/G+udPJU2kWuvfKoGyYcfvDD4KIqub//7ksv/s/PNLJsWNWzvy3tqNHLVQO9/9jYsHcIL75t/9//af/sW2zmPVWMCdSLWzZZKNX3wwCAyEwEJq3yGLzxkDiOvhvgl/Sj30xh1cKrN69e9O+fXsaNWpEeHg4YAwRfv311zz11FPeaMJF69o9g67djT+qY8csPNajDL/vsnJFHSc/7AwAC1Sp6uTyK5xs/tLG3fdkYbXC5k227GLEX3XrnkG3s/r+aPcy7NplpU4dJzt3BGCxQNWqTpo0sTP97WA6P5RJuXIuNm2yUbeuf/cd4OHumTzcPROAHd8HMGlcCMePWahQ0cXXm21EVnEV2+IKcvcf4OQJOHTQylXX5N63iSsCOXXKwhP9Mzh+zMLqVYEMeuG0t5truvzu/1sb2/ksMZBbGtk5fRo2fmGjz0D/HyJ/qFsmD3XL6f+U8SEcP26hQgUXWzfbiKjiIqyci8sud7JpvY3rbnBgt8PWLTbq+vl7X0k/9s9Fc7A8Z3G5vDPIcfjwYbZs2UJycjIul4vIyEgaNWpEZGRkgV5374GqJrUwf37YGcCM6SGkpxvf1p7ok8619RxkZsL0t0L4fnsAgUFQu7aDvv3TKV2m8NoS4OXjfeeOAN45q+9P9k2nXj3jDWd5QiDLE4JwuiAy0sUzz56mcuXCPbTSvRwlr1wWyMqEQGw2KFvWRe/+GdSomfvbauu7yrLg45PFsvDa9auVcSNDmTE/LdfyU6fgjVEhHDxoBRd0eDCTZvfkTaz93fn2v8MBs94O5v+2B5BltxDTOpN7Hyj89MbbF378JCGQT87q/+P9Mri0ppPUf+CdqSHs/p8VqxWur++gR++MQh0qs3r5va8oHvtXVD/olfWc8d2+S722rhsv3ee1dRUmrxVYhcXbBVZR4u0Cq6jxdoElUpSU5Ctre7vAKoq8XWB9u6+m19bV8NK9XltXYSpmUzFFREREfK+Ynu8gIiIiZilOZ/d5ixIsEREREZMpwRIRERG3dBah55RgiYiIiJhMBZaIiIiIyTREKCIiIm45XMpjPKUtJiIiImIyJVgiIiLillN5jMe0xURERERMpgRLRERE3NJlGjynBEtERETEZEqwRERExC2dReg5bTERERERkynBEhEREbecmoPlMSVYIiIiIiZTgiUiIiJuOZTHeExbTERERMRkSrBERETELZ1F6DltMRERERGTKcESERERt/S/CD2nLSYiIiJiMhVYIiIiIibTEKGIiIi45XDpQqOeUoIlIiIiYjIlWCIiIuKWLjTqOW0xEREREZMpwRIRERG3nLrQqMe0xURERERMpgRLRERE3PLXOVjbt2/ntddew263U758eV577TWqVatGamoqzz77LPv376dixYpMnDiR8PBwMjMzeeGFF/jxxx8JCQlh/PjxXHbZZRe1bv/cYiIiIiIXMGjQIEaOHElCQgJt2rRhxIgRAEycOJEGDRqQmJhIhw4dGDlyJADz588nNDSUxMREhgwZQnx8/EWvWwWWiIiIuOVwWbz2k5qayoEDB/L8pKametTmzMxMBgwYwJVXXglA3bp1OXToEADr16+nTZs2ALRu3ZqNGzeSlZXF+vXradu2LQANGzbk+PHjHDx48KK2mYYIRUREpMiYN28eU6dOzbO8b9++9OvXL9+vExQURLt27QBwOp1MnTqVu+++G4Dk5GTCw8MBsNlslClThmPHjuVaDhAeHk5SUhJRUVEe98PvC6wgi64uW1KVLeG7PtBSsgPoAEr2AeDA5esm+IyzBPfdV7z5z567du1KXFxcnuVhYWHnfU5iYiKjRo3Ktax27drMnTuXzMxM4uPjsdvtPP744+d9Dav13H083/IL8fsCS0RERIqPsLAwt8XUucTExBATE5NneVpaGk888QTly5fnrbfeIjAwEICIiAiOHDlClSpVsNvtnDx5kvLlyxMREUFKSgo1atQAICUlhYiIiIvqR8n+CiwiIiIX5HBZvfZjpkGDBlGjRg0mTZpEUFBQ9vKmTZuybNkyAFatWkWDBg0IDAykadOmJCQkALBt2zaCg4MvangQwOJyufw6az3418V1XPxfSf92oCFCDRGWVBoihPCov7y6vtm7bvfaunrU2WTK6/z888/ExcVx+eWXY7MZA3YRERHMmDGDv//+m/j4ePbv30/ZsmUZP3481atXJyMjg2HDhvHjjz8SFBTEiBEjuOaaay5q/SqwxG+V7PJCBZYKLL9+6y4QFVjeL7Bm7rrDa+vqWedLr62rMJXsd2gRERGRQqACS0RERMRkOotQRERE3DJ78nlJoC0mIiIiYjIlWCIiIuKWv/6zZ1/SFhMRERExmRIsERERccvpKtmXRbkYSrBERERETKYES0RERNzSHCzPaYuJiIiImEwJloiIiLjl1HWwPKYtJiIiImIyJVgiIiLilqOE/3P1i6EES0RERMRkSrBERETELc3B8py2mIiIiIjJlGCJiIiIW5qD5TklWCIiIiImU4IlIiIibmkOlue0xURERERMpgJLRERExGQaIhQRERG3HBoi9Ji2mIiIiIjJlGCJiIiIW05dpsFjSrBERERETKYES0RERNzSHCzPaYuJiIiImEwJloiIiLjldGkOlqeUYImIiIiYTAmWiIiIuOVQHuMxbTERERERkynB8tCbbwWzYYONsmVdAFxyiZPhw9LJzIQpU4P5/nsboaEuGjWy061rJtZiVsLu2WNl8pRg0tIsWK3w9NPp1K3jzL7/5EkYMLAUzw1Kp25dp5tX8j/T3gpm/QYbYWft+5eGped6zNRpwRz4y8ro1077oolesWFTAK+OCmbtJ6cAcDrhrXcC+eprGxYrXFLdyXNPZ1ChvG/babYlS218lGDDYoFqUU6GPJtJxQrGfS3bhxJe2ZX92Ic7ZhF9j8NHLS1c/93/WVnwxuQgdvwQAMCtNzvo83gmAQG+bGXh2LgpgBGjQljzSVr2sllzg/j8CxtWq4u6dZwMeiaD4CAfNrKQaA6W51RgeeinnwIY+uJprr02d/Gw4P0gDh+2MntWGjYbvPFGMAkJgcTFZfmopeZLT4dBz4Uy6Nl0br3VwabNNkaODOHdecYb7ddfBzDtzRCSkornH+KPPwUw/Bz7/ozP19tYs9bG1VcVr8LybPsPWJj6VhCus7q4MtHGr7sCmPPOaYKCYNrbgUx5M4hhQzJ911CT/fKbhQWLbLw3M50yZWDSW4FMnx3I889k8ec+C2XLunhvZvqFX8jPnWv/f7jUxt//WHhv9mmcLniifwjr1gfQ4q7iVWDuP2Bh2lvBufr+3f8FsO5zG3NmnCIoCIYMC+GjjwPp3Kn4vO/LxStm+UrhysyE33+3snhxEI/2LMWw4SEcPmwUE7t2BdC8WRZBQWC1wm2329mwsXjVr9u22YiKcnLrrcYb522N7Qw/K8H5eGkQ8YNPU6mS63wv4bcyM+F/v1tZuDiIHj1LMfSsfQ+w908rCxcG0bVL8Skq/is9HV4eGUz/J3P3sVZNJ317ZxL077f2K+s6STpcvN5arqrr4sP3jOIqIxNSjlgoF2bct/MnKwFWeOKpYB56NISZ82w4ildtAZx//z/4gJ1Xh2VgtULqP3DypIWwsj5qZCFJT4dXRobQ78mMXMudDuO9ISMD7Hbj96BimF4BOLF67ae4KD498YKjRy3cWN9Bz54ZzJxxiquvcvDi0FBcLrjqKgdfrA/k9GkjMl+3LpBjR4vX5t1/wErFii7Gjgvm8d6leHZQaK4PkrFjTnPNNcUzvTl61EL9+g569cxg1r/7fsi/+/7UaXhtVAjxg9MpVar4FZdnjHkjmPZt7Fx+We59XO8aZ/YwceoJmP1uEM3vtPuiiYXKZjOGx9p0COX/dlppHWP00eGAm29yMGlMBm9PSmfrtwEsXlq8vlzB+fc/GNvmzXcC6fBQKSpWcHHDdcWrwhz3RjDt2mRx2X/63uAmBw0bOLivY2na3leakycttGuj9EoMXqkADh486PbHX1St6mL06NNceqkLiwU6dszi4EErSUkWHuyUSc0aTvr0LcWzz4ZyzTUObIHF68PWYYetW220bp3F9LdPEReXRfzzoWQW39AmW9WqLsaete87nbXvx44L4d64TGrXKp7FJcBHy2wEBLhoHXv+wunAXxaeHBDK9fUc3Ne++BVYAE1vd7Am4TQ9u2Yx4LlgnE5o39rBM/2N9LpsGXiwg50NXxavCUj52f9P9spi9YpTVK3iZNyE4hPjfLzMRkAA5+z7ylU2Dh6ykPBRGgkfplG1ipOpbxWfvp/N4bJ47ae48MrXrMcff5y9e/cSERGBy5W76LBYLKxbt84bzbgos+cE8dVXxmaKqurk9tvttGiR84fmchnf3k6csPDAA5k88YTRv8+/sFEtyv8/cM/uf2qqhUsvcWbPMbr9Njvjxwdz6JCVGjX8v6//Neusvlet6uSO2+20/M++D7DBzh8C2L/fypIPg0g9YSEtzcJz8aGMHe3fE91nzA5k01dGoWALhPR0C117hpBlt5CRCV17hjB+dAbhlV1s/97K0FdCeLhTJp07Fo/iavrsQL78t/+1aji5r72dG+oZx3mbGAdjJgRx4gRs3hrAFZc5ueIy42/fhfGe4O/yu/8PHbJQvryLSy9xYbNBbLSdNyYH+7j1BTNzdlB23wMDjSHCbj1Dsf/b9249Qxk/Op2NX9pocbedUqWM57VtY2fCpOJZYInnvPI28MEHH9C5c2eGDx/OTTfd5I1VmqZH90x6dDcimj/+sNJ/QCnq1UujalUXCcsDqV3bSXi4ixUrA/l6i40RI06Tng5LlgTRqaP/Rztn9//YMQvdupfmt11W6tZxsmNHABaLUXwUR492z+TRf/u+5w8r/QaU4rp/9/2y5YFcVttJRLiLj5fknFGU+KmNDRsDi8VZhI/1yOKxHnmHOw4lWXi4eyjz/p3U/cOPVp4fGsIrwzK49ebiMzT0eI8sHv+3/9/vtPLiK0G8NzOd8uVg9doAatd0Ua6ccWx8sTGA0S9nkmU3Jn23vNv/i8z87v+Vq2z8+LOVMSMzsFpg9VobN9X37+OgZ49MevbIu/xQkoVHupdi7kzj77vOFU42fGmjZQs7AVbYuDGAa64unu+H4jmvFFhlypRhxIgRLFmyxO8KrLPVquWkf790hrwQitMJ4eEuhr5o/KHFxmTxyy9WuvcohdMJrVtl0bSp/7/Jnq1iRRevvnKaiRNDSE83vtm98nJ6sZ3UebbatZwM6JfO8y+E4vh33w970f+LKDPMnBuEC+NSDW+9Ewj8O5z+aob7J/qR+tc56f6wnScGhhAQAJUruxg3wuhfz65ZjJsUROdHQ7Db4a6mDtq18u8CwxMPP5jFxKlBdH00FIsVrq/n4InH/P/LZX50eTiTKdOCebhbKYICXVx+mZOnBxSf4/5sukyD5yyu/47Z+ZmDf0X5ugniI8XrFALPBVpK9hYIoGS/4Tvw67fuAnGW4L6fER71l1fXN+D7B722rkn1P/DaugpTMZgpICIiIoXJ6SrZX+guhraYiIiIiMmUYImIiIhbjhI+JH8xlGCJiIiImEwJloiIiLilswg9pwRLRERExGRKsERERMQtnUXoOW0xEREREZMpwRIRERG3nDqL0GNKsERERERMpgRLRERE3HLoLEKPKcESERERMZkSLBEREXFLZxF6TltMRERExGQqsERERERMpiFCERERcUv/KsdzSrBERERETKYES0RERNzShUY9pwRLRERExGRKsERERMQtzcHynBIsEREREZMpwRIRERG3dKFRz2mLiYiIiJhMCZaIiIi4pTlYnlOCJSIiImIyJVgiIiLilq6D5TklWCIiIlKs/fzzz1x77bXZtzMzMxk0aBAxMTHExcWxe/duAFwuF2PGjCE6OprY2Fi2b99+0etUgiUiIiJu+fMcrNOnT/PKK6+QlZWVvWz+/PmEhoaSmJjIt99+S3x8PEuWLGH16tXs3r2bVatW8eeff9KrVy8SExOx2Twvl5RgiYiISJGRmprKgQMH8vykpqZe1OuNHj2abt265Vq2fv162rZtC0DDhg05fvw4Bw8eZMOGDcTGxmK1WqlVqxZRUVF8//33F7VeJVgiIiLiljcTrHnz5jF16tQ8y/v27Uu/fv08eq1169aRnp5OdHR0ruXJycmEh4dn3w4PDycpKYnk5GQiIiLyLL8YKrBERESkyOjatStxcXF5loeFhZ33OYmJiYwaNSrXstq1a3Py5Enmzp2br/VarVZcLtc5l18MFVgiIiJSZISFhbktps4lJiaGmJiYXMuWLFnC9OnTeeihh7KXtWvXjgULFhAREUFKSgo1atQAICUlhYiICCIjI0lJScl+/JnlF0MFloiIiLjlj5PcO3ToQIcOHbJv161bl4SEBACaNm1KQkICDRo0YNu2bQQHBxMVFUWTJk346KOPaN26NQcOHGDv3r3Uq1fvotbv9wVWlYAyvm6CiIiI+JEuXbowbNgwWrVqRVBQEGPHjgUgOjqanTt3Zk+AHzlyJCEhIRe1DovrXAOOfsSZVMfXTRAREfEqa5VdXl1fq439vbauT5pM9tq6CpMu0yAiIiJiMr8fIhQREZHCpX+V4zklWCIiIiImU4IlIiIibvnjWYS+pgRLRERExGRKsERERMQtJVieU4IlIiIiYjIlWCIiIuKWEizPKcESERERMZkSLBEREXFLCZbnlGCJiIiImEwJloiIiLjlUoLlMSVYIiIiIiZTgSUiIiJiMg0RioiIiFv6Z8+eU4IlIiIiYjIlWCIiIuKWLtPgOSVYIiIiIiZTgiUiIiJu6TINnlOCJSIiImIyJVgiIiLiluZgeU4JloiIiIjJlGCJiIiIW5qD5TklWCIiIiImU4IlIiIibmkOlueUYImIiIiYTAmWiIiIuOVy+boF/kcJloiIiIjJlGCJiIiIW040B8tTSrBERERETKYCS0RERMRkGiIUERERt3ShUc8pwRIRERExmRKs81i/BSa8A5lZULc2jBgMZUrnfsyu3TBiMpw8CdYAePkZuKau8ZyRk2D7TuNxd9wCz/aGgADv9+Ni5af/Y6bB6vVQLsy4XfMSmPCS8fuaDTD9PeP5UZEweghUKOfNHly8guz7M1JPQJf+MHIwXHuld9tfUAXZ9yXl2D/f/nc64fXpsOFrsFqgRnV4+VmoWN4nXbkoeu8r2cf/+ehCo55TgnUOx/6GF0bDpFch8T2oHmW8aZ7tdDo8+iw8+iB8PAueeAQGjTDue/9j4zWWz4Vls+H7H+HTL7zciQLIT//B6Nfrw2HpLOPnTHH146/w6kSY/AqsmGu8+Uya6b32F0RB9z0YH64P9IY/9nm16aYo6L4vCce+u/3/0Sr4eRd8PMPYBpdWMz6M/YXe+0r28S/m8lqBtXbtWubPn8++fbk/dRYtWuStJuTb5m+N1KFmdeP2g+1g5drcF1rb/K3x5tn0VuN289ty/si6dYQ3XgKrFf5OhRMnc77p+IP89D8zE375H8xeCO17QP+hcPCwcd/yz+C+VlCtqnG7bzfjzdgfFHTfA7z3EYx6HsIre63Zpinovi8Jx767/X95TXj2CQgKMm5fWzdn2/gDvfeV7OPfHZfLez/FhVcKrPHjx/Pee++xd+9eOnXqREJCQvZ9Cxcu9EYTPJKUDFUjcm5HhsPJNAtpp3KW7d0PlSvCC2Pg/l7Q4xmwO3LuD7QZ33xadoZKFeGm67zX/oLKT/+Tj8It9eHpXsY3uOuvhr5DjD+OvfvB4YA+Q4w3oFcnQulSXu/GRTFj388YB/Wv9V6bzVTQfQ/F/9h3t//rXwvX1DF+/+cEvPkuRN/pteYXmN77SvbxL+bySoG1YcMGZs6cydChQ3n//feZNGkSiYmJALiKYLnqdJ57ufWsrWV3wMav4YE28OE78PC90Huw8e3mjGceh69XQrUq8PIbhdtmM+Wn/9WrwjtjodalYLFAj06w7yD8lQR2O3zxFbz0DHw803gzHjbOO20vKLP2vb8q6L4/ozgf+/nZ//v+gi794KZ60DmucNtsJr33nXt5STn+3XG5LF77KS68UmC5XC4sFmOj1axZk+nTpzNy5Ei2bt2avbwoqRoJKUdzbh8+AuXKuigVmrMsopLxB3b91cbtu243Upv9B+G7H+CP/cbyQBvERRvzMvxFfvr/225IWJ37eS4X2AIgojLc3hDCKxlvTHEx8H8/eaftBVXQfe/vCrrvS8Kxf6H9v/U7ePBJaB9tfMkogm9x56X3vpJ9/Iu5vFJgRUdH06VLF3buNE6tuOKKK5g0aRIDBw7MMyerKLitIez4GfYeMG4vWm7MMzjbHbfAwST46Tfj9rc7jDfS6lXh6+9g9FQjyXE6YcVncOuN3u1DQeSn/xYLvDYZDhwybn+wDOpeBlUioGVTY6L38X+M+z7b6D9n0hV03/u7gu77knDsu9v/3/8I/YYaZ8326OTdtptB730l+/h3RwmW5ywuL43RbdmyhYiICC677LLsZYcOHWL27Nm88MILF/26zqQ6ZjQvjw1fG6fqZmXBJdWMN8wDB2HoOGPcHYw3lvFvwal0CAqEIf2M8fbMLBg1xbjfaoEb68HgPhAaUihNLRT56f/yNTDjfXA6jLkKIwYbl2QA403n/WXgchrLRgw2ki1/UJB9f7a7OsKkl/2nuDyjIPu+pBz759v/PZ6GH37NXWxXqwJTR/qmLxdD733+cfxbq3g3Gqu3fLjX1vVD25e9tq7C5LUCq7AUVoElIiJSVHm7wLom4SWvreundt5bV2HSdbBERERETKYruYuIiIhb/j3W5RtKsERERERMpgRLRERE3CpOZ/d5ixIsEREREZOpwBIRERExmYYIRURExC0NEXpOCZaIiIiIyZRgiYiIiFu6SoPnlGCJiIiImEwJloiIiLilOVieU4IlIiIiYjIlWCIiIuKeJmF5TAmWiIiIiMmUYImIiIhbmoPlOSVYIiIiIiZTgiUiIiJuuTQHy2NKsERERERMpgRLRERE3NIcLM8pwRIRERExmRIsERERcU8JlseUYImIiIiYTAWWiIiIiMk0RCgiIiJu6TINnlOCJSIiImIyFVgiIiLinsuLPyZKTk6mV69etG/fnk6dOnHgwAEAUlNT6dWrFzExMTz00EOkpKQAkJmZyaBBg4iJiSEuLo7du3df9LpVYImIiEix9Nxzz9GsWTOWLVtGu3btGD9+PAATJ06kQYMGJCYm0qFDB0aOHAnA/PnzCQ0NJTExkSFDhhAfH3/R69YcLBEREXHLmxcaTU1NJTU1Nc/ysLAwwsLC8v06x44d49dff2XOnDkA3HfffTRq1AiA9evXs2DBAgBat27NK6+8QlZWFuvXr2fAgAEANGzYkOPHj3Pw4EGioqI87ocKLBERESky5s2bx9SpU/Ms79u3L/369cv36+zfv5+oqChee+01tm7dSlRUFEOHDgWMocPw8HAAbDYbZcqU4dixY7mWA4SHh5OUlKQCS0RERAqBF88i7Nq1K3FxcXmWu0uvEhMTGTVqVK5lNWrU4Oeff6Zfv3688MILLFmyhPj4eObPn3/O17Bazz1r6nzLL0QFloiIiBQZng4FAsTExBATE5Nr2b59+4iLi6NZs2aAMRQ4YsQIACIiIjhy5AhVqlTBbrdz8uRJypcvT0REBCkpKdSoUQOAlJQUIiIiLqofmuQuIiIibrlcFq/9mOXSSy8lMjKSDRs2APDFF19wzTXXANC0aVOWLVsGwKpVq2jQoAGBgYE0bdqUhIQEALZt20ZwcPBFDQ8CWFwu/758mDOpjq+bICIi4lXWKru8ur6a80d7bV17u1z8mXv/tWfPHoYPH87x48cpU6YMo0ePpmbNmvz999/Ex8ezf/9+ypYty/jx46levToZGRkMGzaMH3/8kaCgIEaMGJFdlHlKBZaIiIif8XqB9a4XC6xHzCuwfElDhCIiIiIm0yR3ERERuQDvXQeruFCCJSIiImIyJVgiIiLinl/P1vYNJVgiIiIiJlOBJSIiImIyDRGKiIiIexoi9JgSLBERERGTKcESERER90z8FzYlhRIsEREREZMpwRIRERG3/Puf6vmGEiwRERERkynBEhEREfeUYHlMCZaIiIiIyZRgiYiIiHs6i9BjSrBERERETKYES0RERNyyaA6Wx5RgiYiIiJhMCZaIiIi4pwTLY0qwREREREymBEtERETc01mEHlOCJSIiImIyFVgiIiIiJtMQoYiIiLinSe4eU4IlIiIiYjIlWCIiIuKeEiyPKcESERERMZkSLBEREXFPCZbHlGCJiIiImEwJloiIiLinC416TAmWiIiIiMmUYImIiIhbFs3B8pgSLBERERGTKcESERER95RgeUwJloiIiIjJlGCdx/otMOEdyMyCurVhxGAoUzr3Yz7bCFPngNUKYWXg1efg0mq5H9PvRYioDEMHeq3ppsvPtnjvI1iwFEKCofalMPQpKB/mm/YW1IX6u+xTmLck5/aJk3A4Bb74ECpXhMZtITI85/4enaDNPd5rf0EV5Nh3OODVibBth/G4JrfCoCfA4kcnIBV0/5/hr3/7Ben/qxNh31859x04BA2vhzdHea35BVaQ/tts8PIb8Ov/IDQE7o2Bh+/zfh+kaLC4XC6/Dv6cSXVMf81jf0ObrrBgGtSsDuPfhrRTMPzpnMekZxgfpEtnQY3qMHcxbNkO08fkPGbm+zB7IcQ097832TPysy22fgeDX4OFb0KVCEhYDZ9vhkmv+KzZFy0//T1blh269IO4GOjYFv7YB088D58u8GqzTVPQY39porH/Z70OThd0fhIefRCim/msSx4p6P4/w1//9s3qP8APv8CA4bBgKlSNKPSmm6Kg/Y9/DQIC4JVnweGEvi/Ag+2hWWPz22qtssv8F3Wj1pTXvbauP/o947V1FSavDRHu3buXw4cPA7BkyRJGjBjBqlWrvLV6j2z+Fq690vgDA3iwHaxcC2eXog6HcftkmnH71GkIDsq5f+t3sOkb6NjOe+0uDPnZFj/tgkY3GcUVwD1N4IuvjG+A/iY//T3bzPehUoWcD5fvf4QAK3QdAO26w7S5xrHiLwp67DuccDrd2PeZmcYH0Nl/F0VdQfc/+Pffvhn9B2P/Pz8Knu/rP8UVFLz/P+2Cdi2MIisoEJo2gjUbvNP2wmZxee+nuLjgEOHs2bOZOnUqDoeDqKgo6tatm/1Tp04dqlevfsGVzJ07l/nz5+N0Orn11ls5dOgQ99xzDx999BF//PEHffr0MaUzZklKzv2mEBkOJ9MspJ1yZUfFpUsZ32oe7GMMhTmdxjc1gOQj8NoUmDEeFi/3fvvNlJ9tUe8qY4jwrySoVsVIMbKyLPyd6iKikm/afbHy098zjv8NcxfBRzNzltkd0LiBMSyWngG9443hha4dvNL8AivosR8XDavXw533GdvitobQ7Davd+OiFXT/+/vffkH7f8ZHn0B4ZePLlj8paP+vuwoS1kD9esYXjM82GMOGUjJdcNdPnz6dsWPHct1117F//3527drFb7/9xsaNG/n9998BuOKKK/jggw/O+xofffQRq1at4siRI7Ru3Zqvv/6a4OBgOnTowP3331/kCiyn89zLrWflfbt2w1vvwsp5xtyT+R/CgGGw5B14+mV4vh9+V1ycS362RcPr4cluxpwTq9WYd1AuzEWgH76x5Ke/ZyxeAc1vh+pVc5Y90Cbn96Ag6PYAzP/Ifwqsghz7S2cZiV2FcvDlMsjIMIZI5iyC7h290fqCK8j+z7L7/99+QY//M+YtMYbJ/E1B+z/4SRj7FtzbE8IrGl+2vv+xcNrqdbqSu8cu+BFYpkwZ7rzzTmw2GxEREdx000257j9w4EB2oXU+TqeToKAgqlWrRo8ePQgODs6+z1EEx0+qRsLOX3JuHz4C5cq6KBWas2zTt1D/2pxJ7Z3jYPQ02PET/HUIxkwzlh85ZgypZGTCiOe81wez5GdbpJ0yiqz7Wxm3jxyDybP9c5J7fvp7RuIXMKR/7mUJq+HKy6HuZcZtl8u/vsEW5Nj/+x/47Et4sb8xPBIUCO2jYfUG/ymwCrL/f/zV///2C3r8A/y8y+h3wxsKrZmFpqD9P3kKnu2d894343249MKDPFJMXXAOVq9evViyZMl5769evTrNmrmfwdqiRQsefvhhHA4H/fr1A+DXX3+lc+fOxMTEeNjkwndbQ9jxM+w9YNxetBya/2eY4+o68O0O400UYN0m45tMg+uNs0mWzjJ+OrY1Jrr6yxvsf+VnWyQfga4Dc+bkvPUutLrLv84cOyM//QX454RxtlT9a3Mv//0PmDLb+IBJzzDOrIzxkwneULBjv0J5uPoK44MHjETn881w/dVea36BFWT/17/W///2C3r8g3Fs3HJjyfz7X5Rg/P2D8ffx4UpofVfhtlmKrgt+tx49ejRZWVl8+eWX3HHHHVx11VXUrVuX0NBzlPTnMWDAAL799lsCAgKylwUFBdGvXz+aNm16cS0vRJUqwMh4GDgMsrLgkmoweojxDXXoOOPN89YbjdPvuw6AwEAoVxamjvR1y82Xn21R61J4rDN07G2cOXZjPf86c+ps+ekvwL4DEF6JPMOgfbrBiInGBPcsO0TfCR1ae7kTBVDQYz++L4ycBLFdjGGVRjdCz86+7ZMnCrr//Z0Z/f/zgDEX0x8VtP+9HobBI6FNNyO97tPNmKNaLBSjyefecsHLNOzfv59ff/2V3377jd9++41ff/2VgwcPUr16dVavXu2tdp5XYVymQUREpCjz9mUaak98w2vr2jPwPNfF8DMX/P51ySWXcMkll3DPPTlXSjx16hS7dnl354qIiIiPKMHy2EVdB6tUqVLccMMNJjdFREREpHgoZjMIRERExGzF6QKg3qJ/9iwiIiJiMiVYIiIi4p4SLI8pwRIRERExmRIsERERcU8JlseUYImIiIiYTAmWiIiIuKWzCD2nBEtERETEZEqwRERExD2XH/73bh9TgiUiIiJiMiVYIiIi4p7mYHlMCZaIiIiIyVRgiYiIiJhMQ4QiIiLili7T4DklWCIiIiImU4IlIiIi7inB8pgSLBERERGTKcESERERtzQHy3NKsERERERMpgRLRERE3FOC5TElWCIiIlIsHThwgIceeoh27drRpUsX/vrrLwAyMzMZNGgQMTExxMXFsXv3bgBcLhdjxowhOjqa2NhYtm/fftHrVoElIiIi7rm8+GOiSZMm0apVKxISEmjRogUTJkwAYP78+YSGhpKYmMiQIUOIj48HYPXq1ezevZtVq1Yxbdo04uPjsdvtF7VuDRGKiIhIkZGamkpqamqe5WFhYYSFhXn0Wk6nk5MnTwJw+vRpQkJCAFi/fj0DBgwAoGHDhhw/fpyDBw+yYcMGYmNjsVqt1KpVi6ioKL7//nsaNmzocT9UYImIiIhb3jyLcN68eUydOjXP8r59+9KvXz+PXmvAgAF06tSJ+fPnk5WVxaJFiwBITk4mPDw8+3Hh4eEkJSWRnJxMREREnuUXQwWWiIiIFBldu3YlLi4uz3J36VViYiKjRo3Ktax27dpkZGTwyiuvcPfdd7N69Wr69u3L8uXLz/kaVqsVlytvJWm1XtxsKhVYIiIiUmRczFBgTEwMMTExuZYdO3aMmJgY7r77bgBatmzJ8OHDOX78OBEREaSkpFCjRg0AUlJSiIiIIDIykpSUlOzXOLP8YmiSu4iIiBQ7FSpUIDg4mG3btgGwfft2SpcuTcWKFWnatCkJCQkAbNu2jeDgYKKiomjSpAkrVqzA4XDw559/snfvXurVq3dR61eCJSIiIu754XWwLBYLU6dO5dVXXyU9PZ3SpUszZcoUALp06cKwYcNo1aoVQUFBjB07FoDo6Gh27txJ27ZtARg5cmT2xHiP1+8614CjH3Em1fF1E0RERLzKWmWXV9dX95UJXlvXb8Oe8tq6CpOGCEVERERMpiFCERERcUv/7NlzSrBERERETKYES0RERNxTguUxJVgiIiIiJlOCJSIiIu4pwfKYEiwRERERkynBEhEREbd0FqHnlGCJiIiImEwJloiIiLinBMtjSrBERERETKYES0RERNzSHCzPKcESERERMZkSLBEREXFPCZbHlGCJiIiImEwJloiIiLinBMtjSrBERERETKYCS0RERMRkGiIUERERt3SZBs8pwRIRERExmRIsERERcU8JlseUYImIiIiYTAmWiIiIuKcEy2NKsERERERMpgRLRERE3NJZhJ5TgiUiIiJiMiVYIiIi4p4SLI8pwRIRERExmRIsERERcUtzsDynBEtERETEZEqwRERExD0lWB5TgiUiIiJiMiVYIiIi4p4SLI8pwRIRERExmQosEREREZNpiFBERETcsvi6AX5ICZaIiIiIyZRgiYiIiHua5O4xFVjnsX4LTHgHMrOgbm0YMRjKlM65f9mnMG9Jzu0TJ+FwCnzxIVSuCI3bQmR4zv09OkGbe7zX/oIqyf0vyX0H9b+g/Qc4lAydnoBls6BCea82v8C0/933H2DXbhgxGU6eBGsAvPwMXFMXRk6CbTtzHnc4BcIrQcIc7/ZBigaLy+Xy67rUmVTH9Nc89je06QoLpkHN6jD+bUg7BcOfPvfjs+zQpR/ExUDHtvDHPnjiefh0gelN84qS3P+S3HdQ/wvafzAKkClz4GCSha8SXH5VYGn/X7j/p9OhxYNG4dX0Vli3CV6fDqvm536tvw7Bw/3gzVFw1RXmt9VaZZf5L+rG9QMneG1dOyY+5bV1FSafzMEaPXq0L1abb5u/hWuvNP7AAB5sByvXwvlK0ZnvQ6UKOW+w3/8IAVboOgDadYdpc8Hh8ErTTVGS+1+S+w7qf0H7n3zE+MCdPsY77TWb9v+F+7/5W7i0mlFcATS/DSa8lPe1ho6Drg8UTnEl/qHQhwiff/75PMs+//xz/vnnHwBGjRpV2E3wWFIyVI3IuR0ZDifTLKSdcuWJio//DXMXwUczc5bZHdC4AQx6AtIzoHe8ETF37eCV5hdYSe5/Se47qP8F7X9EZZgywitNLRTa/xfu/979xlDoC2Pgt91Qtgw82zv362z8GpJSoMt93mt7ofPrsS7fKPQCq3z58ixbtozevXsTFhYGwNdff83NN99c2Ku+aE7nuZdbz5H3LV4BzW+H6lVzlj3QJuf3oCDo9gDM/8h/3mRKcv9Lct9B/S9o//2d9v+5l5/df7vDKKDmToTrrzYSy96DYd0io89gzFF7rDMEBBR6k6UIK/QhwsGDB/PGG2+watUqoqKiiIuLo1y5csTFxREXF1fYq78oVSMh5WjO7cNHoFxZF6VC8z428Qtj/sHZElYb32zOcLnA5kenE5Tk/pfkvoP6X9D++zvt/wv3P6IS1LrUKK4A7rrdGAbdf9C4fexv2PkLtLzTW632EpcXf4oJr8zBatSoEdOnT+f9999nzJgxOIr4oPxtDWHHz7D3gHF70XJjnP2//jkB+/6C+tfmXv77HzBltvFHl54BC5ZCTLPCb7dZSnL/S3LfQf0vaP/9nfb/hft/xy1wMAl++s24/e0OsFhykrzvfjDmcZ2rKJWSxWuT3MuXL8+kSZOoXbs24eHhF36CD1WqACPjYeAwaNUFdu2B5/rAj79C3KM5j9t3wDgFN/A/39D6dINyZY1Jnu26Q/1roENrr3ahQEpy/0ty30H9L2j//Z32/4X7H14JpoyEVyZAm24weipMfhWCg437/zwA1ar4rAuFxuLy3k9xocs0iIiI+BlvX6bhhn7eu0zD/00pHpdpKGbfv0RERMR0fh3F+Ib+F6GIiIiIyZRgiYiIiFvFaW6UtyjBEhERETGZCiwRERERk2mIUERERNzTEKHHlGCJiIiImEwJloiIiLilSe6eU4IlIiIiYjIlWCIiIuKeEiyPKcESERERMZkSLBEREXFPCZbHlGCJiIiImEwJloiIiLilswg9pwRLRERExGRKsERERMQ9JVgeU4IlIiIiYjIlWCIiIuKWxaUIy1NKsERERERMpgJLRERE3HN58acQTJo0iSlTpmTfTk1NpVevXsTExPDQQw+RkpICQGZmJoMGDSImJoa4uDh2795tdN/lYsyYMURHRxMbG8v27dsvuE4VWCIiIlIsnThxgiFDhjB79uxcyydOnEiDBg1ITEykQ4cOjBw5EoD58+cTGhpKYmIiQ4YMIT4+HoDVq1eze/duVq1axbRp04iPj8dut7tdtwosERERKTJSU1M5cOBAnp/U1FSPX2vdunXUrFmT7t2751q+fv162rRpA0Dr1q3ZuHEjWVlZrF+/nrZt2wLQsGFDjh8/zsGDB9mwYQOxsbFYrVZq1apFVFQU33//vdt1a5K7iIiIuOXNC43OmzePqVOn5lnet29f+vXr59FrtW/fHiDX8CBAcnIy4eHhANhsNsqUKcOxY8dyLQcIDw8nKSmJ5ORkIiIi8ix3RwWWiIiIFBldu3YlLi4uz/KwsLDzPicxMZFRo0blWla7dm3mzp2b7/Varece1LNarbjOcRbl+R5/hgosERERcc+LCVZYWJjbYupcYmJiiImJyffjIyIiOHLkCFWqVMFut3Py5EnKly9PREQEKSkp1KhRA4CUlBQiIiKIjIzMngh/9nJ3NAdLRERESpSmTZuybNkyAFatWkWDBg0IDAykadOmJCQkALBt2zaCg4OJioqiSZMmrFixAofDwZ9//snevXupV6+e23UowRIRERG3its/ex4wYADx8fG0atWKsmXLMn78eAC6dOnCsGHDaNWqFUFBQYwdOxaA6Ohodu7cmT0BfuTIkYSEhLhdh8V1roFFP+JMquPrJoiIiHiVtcour67v5m5veG1d38x92mvrKkxKsERERMQ9v45ifENzsERERERMpgRLRERE3Cpuc7C8QQmWiIiIiMmUYImIiIh7SrA8pgJLRMQP7bWf8HUTfKZaQKivm+Bzwb5ugFyQCiwRERFxS3OwPKc5WCIiIiImU4IlIiIi7vn3Ncl9QgmWiIiIiMlUYImIiIiYTEOEIiIi4pYmuXtOCZaIiIiIyZRgiYiIiHtKsDymBEtERETEZEqwRERExC2L09ct8D9KsERERERMpgRLRERE3NMcLI8pwRIRERExmRIsERERcUvXwfKcEiwRERERkynBEhEREff0z549pgRLRERExGRKsERERMQtzcHynBIsEREREZMpwRIRERH3lGB5TAmWiIiIiMlUYImIiIiYTEOEIiIi4pYmuXtOCZaIiIiIyZRgiYiIiHu60KjHlGCJiIiImEwJloiIiLilOVieU4IlIiIiYjIlWCIiIuKeEiyPKcESERERMZkSLBEREXFLc7A8pwRLRERExGRKsERERMQ9pyIsTynBEhERETGZEqzzWL8FJrwDmVlQtzaMGAxlSud+zPI1MHshWCwQEgwv9Idrr4TMTBg5Gb7+DkqHwp2NoW93sBbBcjY//XT3OIcDxkyDTd8av3fvCJ3a5X7ugUNw/2Mwc7yxfZZ9CvOW5Nx/4iQcToEvPoTKFQu3v/mV3+3icsGQ0XBFLejRyVjmcMCrE2HbDuN2k1th0BPGceKPznecn+2rbTDurZzb6Rmwd7+FD99xcU1d77a3oLTv81q7JpClHwZl305Ls3AkxcL8hSeZNjmEQwdz3tySkqzUu87OSyNO+6KphcblgqGjA7i8lotunZyA8d41fGwAf+yz4HJB25ZOenR2+rilhUQBlseK4Ee+7x37G14YDZNehcT3oHoUvD4992P+2Gd8oLwzDpbOgt6PQP+hxn3T34ODh2H5HPhwBqQchQ+WebsXF5affl7ocYuWw94DRl8XT4d3P4Sdv+Q8NyMDnhsBWfacZe2jjW22dJbxnMoV4cWBRae4yu922b0Xuj8Fn36Re/nyNbB3PyTMgaWz4dv/g9XrC7/dhcHdcX62xg1y9unSWVCnNjz2kP8VV9r353Z3iyymvZPGtHfSmPRmGhUqOHmyXzoVKrp48aXT2ff1f/o0ZUq76NM/3ddNNtWeP6Hn0wGsWZ+7Up4220pkuIulc+28/7adxQlWdvzk59W0mMYrBdbOnTuzf9+yZQujR49m/Pjx7Nixwxur99jmb41v6DWrG7cfbAcr1+b+V0xBgfDqcxBRybh9bV04csz41vvTLohtDsHBRmp11x2weoP3+3Eh+ennhR639ku4NwZsNihX1uj3ijU5z31lolFQlS937jbMfB8qVYCObU3v3kXL73Z5fxnExUB0s9zLHU44nW4cC5mZRnEZHIRfcnecn8/yNfBXEvTv4Z02mkn7/sKWLAyifAUXsW1yHwRZWfD6mFB69UknPKJ4xR0Ll1ppH+OkxZ25+zW4n5NnnjASqyNHjf1epnTx6vsZFpf3fooLrxRYw4cPB2DBggW89tprVKlShcqVKzNs2DDee+89bzTBI0nJUDUi53ZkOJxMs5B2KmdZtapwZyPjd5fLGCZrdpvxgXTdVZD4OaSdMv7gPllrpFhFTX76eaHHJaVAlf/cl5Ri/L5kJdjt8ECbc6//+N8wdxE838+U7pgmv9tl6EBo1zLv8+OiIaws3HkfNLkXLq1mHBv+yN1xfi6ZWcbw2vN9jaLb32jfu/fPPxY+XhLM40/mTahWJwZSqbKL2263n+OZ/m3IQCdtWuT95LdYjOP8+REB3NvdRoMbXNS8xAcNlCLJq0OEixcv5t1336Vbt25069aNBQsWFMkCy3meIfRzzaE6dRqeGg5//gWvDjKW9ewMl9eCB5+EHk/DDddCYBH8sMlvP9097lz3BViNFG/RcnjpmfOvf/EKaH47VK+av/Z6iyf7/1ymzYUK5eDLZbD+Q/gnFeYsMqt1vnGu4/xc1qyHS6rBTdd5rWmm0r53L3FlILc2zqJK1bzFxrIPg3jwoQwftMr3Rr3oYGOCndQT8Pa7mnkjBq8cCXa7HafTSaVKlShVqlT28qCgIKxFcOZ31cjcidPhI1CurItSobkfd/AwdO4D1gCYN9H45grGm2q3jrB8Lrw3xXjDvbSat1rv3uRZEPeo8fPhJ/nrp7vt8d/7ko9AZAQkrIaTacb2iXsUUo7AoBHw+eacxyZ+YQyzFDX53f/n89mXcF+skfKULWMMkW79vnDaWhjOPkYmzzr/cX4uiV8YQ8b+qqTv+7O9OyeYPr1K06dXad6dEwzAxvWB3BOdd3z4f79bcTgt1Lve4e1mFopps610eNRGh0dtTJt9/s+ozd9YSD5i/F6qFMQ0d/LLrmI6B8vl8t5PMeGV6qZChQo0bdqU//3vf9nDhVu2bKFTp05ER0d7owkeua0h7PjZmLwNRhLT/D8x/9+p8Eh/uKcJvDHcOLvqjC82w0vjjeMk7RTMWwxt7vFe+93p/2jOROSFb124n+B+e9x1G3y8yhgKTD0Bq9bBXbfDkH7w6YKcdYVXhnEv5jzvnxOw7y+of23h99lT+dn/7lx9hVFogDEH5/PNcP3V5rezsJx9jDzS4fzH+X+5XMbZc7fe6L22mq2k7/uzPdI9I3vy+iPdMzhxAg4etHL1NXmLqB922rj+Brvfny15Rp8eTpbMsrNklp0+Pc5/VuCa9VbenmfF5TLm3K1eb+WWG4tPgSAF45WBq3fffReAPXv2kJqaChjpVf/+/bnzzju90QSPVKoAI+Nh4DBj4uYl1WD0EPjxVxj679lUCxPgULIxyXvtlznPnf0G3BsLO36BNt2MIYcOraHlnb7qzfmdr5+Qu6/uHtepHew7CO0fNe7r2BZuvuHC6953AMIrFc2h0/zsf3fi+8LISRDbxRhaanSjMWzsj9wd51lZ8PhgmD4GIirD8X+MocSz5+T5G+378zv4l5WKFV3nnFt38ICVyCrF9PIEbjzzhIMRbxjzrywWaH67k4fuK57boThNPvcWi8vl33mcM6mOr5sgIuJ1e+0nfN0En6kWkM8x22IsuOoer66vWcsxXlvXF6sHe21dhakI5gciIiJSpPh1FOMbRW+GuYiIiIifU4IlIiIibln8ezaRTyjBEhERETGZEiwRERFxr3ieHFmolGCJiIiImEwJloiIiLilOVieU4IlIiIiYjIlWCIiIuKeAiyPKcESERERMZkSLBEREXFPc7A8pgRLRERExGRKsERERMQtiwIsjynBEhERETGZCiwRERERk2mIUERERNzTJHePKcESERERMZkSLBEREXHLon/27DElWCIiIlKsTZo0iSlTpmTf3r17N507d6Zdu3Z07NiRX375BYDMzEwGDRpETEwMcXFx7N69GwCXy8WYMWOIjo4mNjaW7du3X3CdKrBERETEPZfLez8mOnHiBEOGDGH27Nm5lr/44os89thjJCQkMHDgQAYPHgzA/PnzCQ0NJTExkSFDhhAfHw/A6tWr2b17N6tWrWLatGnEx8djt9vdrltDhCIiIlJkpKamkpqammd5WFgYYWFhHr3WunXrqFmzJt27d8+1vEOHDjRp0gSAunXrcujQIQDWr1/PgAEDAGjYsCHHjx/n4MGDbNiwgdjYWKxWK7Vq1SIqKorvv/+ehg0bnnfdKrBERETEPS+eRDhv3jymTp2aZ3nfvn3p16+fR6/Vvn17gFzDgwD33ntv9u+TJ0/m7rvvBiA5OZnw8PDs+8LDw0lKSiI5OZmIiIg8y91RgSUiIiJFRteuXYmLi8uz3F16lZiYyKhRo3Itq127NnPnzj3vc1wuF2PHjmXHjh28++67532c1WrFdY6hS6vV/SwrFVgiIiLilsWL18G6mKHAmJgYYmJi8v14u93O4MGDOXz4MO+++y5ly5YFICIigpSUFGrUqAFASkoKERERREZGkpKSkv38M8vd0SR3ERERKVHGjBnDyZMnmT17dnZxBdC0aVMSEhIA2LZtG8HBwURFRdGkSRNWrFiBw+Hgzz//ZO/evdSrV8/tOpRgiYiIiHvF6Erux44dY8GCBVSvXp0OHTpkL09ISKBLly4MGzaMVq1aERQUxNixYwGIjo5m586dtG3bFoCRI0cSEhLidj0W17kGFv2IM6mOr5sgIuJ1e+0nfN0En6kWEOrrJvhccNU9Xl1fi1tf8dq61nw9zGvrKkxKsERERMQ9XcndY5qDJSIiImIyJVgiIiLiljfPIiwulGCJiIiImEwFloiIiIjJNEQoIiIi7mmI0GNKsERERERMpgRLxE/d80trXzfBpz6qu8TXTfCpQIuvW+A7ravd5Osm+Nxn3r5sghIsjynBEhERETGZEiwRERFxTxca9ZgSLBERERGTKcESERERt3ShUc8pwRIRERExmRIsERERcU8JlseUYImIiIiYTAmWiIiIuKcEy2NKsERERERMpgRLRERE3FOC5TElWCIiIiImU4IlIiIi7ulK7h5TgiUiIiJiMhVYIiIiIibTEKGIiIi4pX+V4zklWCIiIiImU4IlIiIi7inB8pgSLBERERGTKcESERER95xKsDylBEtERETEZEqwRERExD3NwfKYEiwRERERkynBEhEREfeUYHlMCZaIiIiIyZRgiYiIiHtKsDymBEtERETEZEqwRERExD1dB8tjSrBERERETKYES0RERNxzOX3dAr+jBEtERETEZCqwREREREymIUIRERFxT5dp8JgSLBERERGTKcESERER93SZBo+VyAJr/RaY8A5kZkHd2jBiMJQpnf/HORwwZhps+tb4vXtH6NTOeM7eA/DiaPg7FUqFwughULuGcd+cRfDRKrAFQIXy8PIzcGk147EvvwG//g9CQ+DeGHj4vuLVf5cLJs2CtRuNx117JQx/2ujvsb9h+HjY95fxek0bwTOPg9VH+Wp+t4/LBUNGwxW1oEenvPf3exEiKsPQgYXeZI/dVvlaBl/VmbZfDnH7uLplL2XijX3p+NXLpGalXfT6rFh44vJ2NKhYlwBLAIv3f8HKg1v+XcclPHlFe0KsQVgtVhbt+5y1h7df9LoKy5KlNj5KsGGxQLUoJ0OezaRihdyPGTwsiMqVXAwakOWbRhaiPXusTJ0SQlqahQArDHz6NHXqOMnKgqlTQvjhhwAAbr7ZzmO9MggI8HGDz2PQ7D788dM+Pnx9hdvHNW7XkOfm9aV9+a4FWl9waBBPz3iCy+vXxGK1MjP+Pb5K+BaAJh0a8dALxpv9P0dOMKn3dP76X1KB1idFR4kbIjz2N7wwGia9ConvQfUoeH26Z49btNwoJJbPgcXT4d0PYecvxn3PvWoUGyvfhb7dof8w44P4q23w0Sew8E1YNhvuucP4cAYYPdUoRlbOg4Vvwcat8MVXxav/n30JX30LH8+CFfMgPR3mf5jT/8tqQsIc+GgG7PgZliYWTv8vJL/bZ/de6P4UfPrFuV9n5vuwfWdhtvTiVQutzOOXtcWKxe3jwgJLM7DufQRZC/49rHVUI6qVCufRb8fx5PYJ3Fe9CXXLXgrA8Gu7Me+PT3l82+s8v/Mdel/elmqhlQu8TjP98puFBYtszJyazgdz0rmkuovpswNzPWb+Bzb+b2cRrSoKKD0d4p8rRceOmUx/J42HumQwamQoAAnLgvjnbwszZ6UxY2YaP/0UwIb1Re+7+6VXVmPs2uE0eaDRBR9b7fIq9Br3CFYTvuV1eekBTqel8+g1TzG4xav0n9aTytUqUj6iHAPe6sWLrUfx+A3PsnnpVvpOebTA6ys0Lpf3fooJrxVYX375JampqQAsW7aMV155hY8++shbq8+2+VsjPalZ3bj9YDtYuTbvPnX3uLVfGimTzQblykJsc1ixBg6nwJ59EHuX8Zwmt8LpdPj5d6hcEYY9nZOEXHslHDxs/P7TLmjXAgICICjQSHDWbChe/W/RBBZMM/qXdgqO/g3lw4zH3X0HPBRn/B4cbCRCZ7aNt+V3+7y/DOJiILpZ3tfY+h1s+gY6tiv05nos2BrI81c/xFv/S3D7OAsWnr/qIWbtWZXnvpiqt/BWg6d4u8HTjL2+N5eUish1f8sqDXnuytyR3u3h9fj00Dc4XU5O2k/zRfL/cXeVmwi02pi/dw3fHf8dgCMZ/5CalUZ4cPmCddRkV9V18eF76ZQpAxmZkHLEQrmwnPu3fW9ly7cBxLW1+66RhWj7NhtVo5zccqvRv8aN7QwddhqA+ztk8uKw01itkPqPhbSTFsqGFb0PybZ9olkz9ws2Lt7i9nHBoUEMnt+f6c/My3Nf5yH38ua2Mbz93The+ngQlarmjjC7DO9Al+Edci27vf3NrJqxFoCU/UfYvmYnTR9ozN/J//BAlZ6kHDiKNcBKRI1wUo+eLGAvpSjxSoE1cuRIpk+fTkZGBhMnTmTFihVcfvnlfPbZZ4wYMcIbTciWlAxVz/o8iAyHk2kW0k7l/3FJKVDlP/clpcChZGNI6OwvPVXCjcKjTm24+QZjWWYmvDEdou80bl93FSSsgSy7UXx8tgFSjprZ6/z1K7+Pu5j+AwTaYMHH0PwBOP4P3N3EWN6iKYRXMn7/eRd8ss4ounwhv9tn6EBo1zLv85OPwGtTYOxQCCiC+fBTdTuw8q8t7Ek76PZx3WpF89uJfWw79luu5deVv4wWVRow8Lup9N72Bov2fc7L13a74HrDg8uTkvF39u0jGX8THlyOLKedxENbs5e3qnorIQHB/Jz6p0f98gabDTZsCqBNh1D+b6eV1jFGsZFyxMKEqUG88kJGkdznZjhwwErFii7Gjwvhyd6leW5QKRyOnPttNpjxTjBdHi5D+Qou6tVznP/FfGRqv1msfW/jBR838O3H+eSdz9izM/cxeHeXJtS89lL63vI8vW8cxDeJ3/P0jN4XfL3wSyqRsj/nDT3lr6NUrm684TnsDurcVJsP9k+n1WN3s2yqj6L7/FCC5TGv5LibN29mxYoVBAQEsH79ehYvXkxQUBAdO3akdevW3mhCNud5Lkb73yTY3ePOdV+A9fzHxdmvfexvGDAMypaGgY8ZywY/CWPfgnt7QnhFaNwAvv/RbTcumq/7/9C90DnOmI81YBjMn5xz36Zv4LkR8EJ/uOqK8/ehMOV3+5xLlh2efhme7wcRlcxtlxnaRjXG4XLyadI3RIZUOO/jbql0FVeFXcrgHe/kue/WSlcRFVqZyTf2z15W1laKsrZSdK8VzTXlalE2sBShAcFMb/AMWS47fbdPwmrJOxzp/M+VoTtd2px7qzchfsc7ZDqL5hymprc7aHr7aZatDGDAc8EsmpvOi68G8VSfTCoXwX1uFrsdvtlqY/wbp7jqqnQ2b7Yx5PlSLPjgJEFBxmMe65VB9x4ZvPF6CJMmhjA4Pt23jb4IbZ5ogcPuYPWcL4isEZ7rvltb3UTdmy/nzW/HAGANsBJcyuj88I8GUbVWBBWqlAfgtnY3c+iPZF6+bxyWc7x5OB05x/6u7XvoGPUYDVrewIiVz/PIZX1I++dUnueI//FKgRUSEsLRo0eJiIigUqVKnDp1iqCgIE6fPo3NVvhNmDwrZ07TyTQjTTrj8BEoV9ZFqdDcz6kamTOv6L+PqxqZO2FKPgKREUbyceSYUWic+Tw5nGKkOAC/7YYnhxjpzHNPkD0J9OQpeLZ3zpDZjPfh0urFq/+//s8oXq6uY9zXoVXOHCyAuYuMfo8fZhSYvuKu3xfy46/w1yHjBAAwtoXDYQwpjXiucNp7Id1qRdOo0jUA2F0Ogq2BTG/wDIHWAIICjN+H7JzB0czU7OdEV7mFysHlebvB09nLXr/hScb9+gFWrKxN2s6MPSsBYyixUnAYJ+ynmPz7x4AxRHh9+csY++vC7OcfTv+bikE5Y2qVgsuRkvEPAIGWAJ676kFqlK5Cv+8mcTj9eOFtEA9Mnx3Il18Zf6S1aji5r72dG+oZH4xtYhyMmRDEL79ZOXjIwsQ3jQ/ao8csOJ2QmWnhhUGZPmu7GebOCWbLV8b7c2qqhUsucXLVVUYyddttdt4YD4cOWTlxwkL5ci6qX+LEZoMWLbOYOiXEl00HoOvLHWnUxngz2bJiG/OGL7rgc1p0bUZwqSDe/m4ctiAbQaHG7y+0eg1rgJVFYxNY+fYaAAKDbJSpUAaAl+8bB5A9PDj/5SXZr5m87wgVq5bn+OG/AagcVZHdO/ZSqWoFatW7lG1rdgCwbfX/cSr1FFGXVeH37/aYsxHMVIySJW/xSoHVt29f7r//flq1akXt2rXp0qULjRo1YtOmTfTs2bPQ19//UeMH4OhxaNfdmKRds7oxYbv5bXmfc1tDGPvmuR93123w8Spo1hhOnYZV62D4M8aw2SVRsOpzaHWXkchYrUZB8+cB6DoQBvWG+1rlXteiBKPIGjrQ+FD+cCWMH1q8+r/iM5i7GN6fZpw5uGw13Hqj8XpzFxlzmha+ZTzfl9z1+0LqXwtfnFU0Tp1jDIX68izCuX98ytw/Ps2zPDKkArMaPsfj217Pc9/LP83NdXtdszd45v/eJDUrjbDA0jxd9wE+OrCBY5knaBPViHsvaUK3raPdtuOrIz8SU/Vmthz9idCAIJpF1GfiLmNjDbu2K1aLlf7bJ5PuLDpFyeM9sni8h5Gkfb/TyouvBPHezHTKl4PVawOoXdPF9fWcrFick9TMmBvI3/9QLM4i7NY9g27dMwA4dszCo93LsGuXlTp1nOzcEYDFAlWrOvlyYxA//xzAqyNOY7HAurWB1K/v+7lo84YvyldRdbZ+tz6f/XtkjXBm/PAGvW8cBMC2NTto1esePl/wJadOnKbrKx25vH5t4lu+6vY1tyz/lla97mHykzOoXK0iDaJvYMHIjwgMCeSFhU/Rp2E8B3cncf2d1xBgC2DfLwc876wUSV4psJo3b84VV1zB2rVr+fPPP7nhhhsoXbo0o0eP5rrrrvNGE7JVqgAj42HgMMjKgkuqGZcSACOBGDoOls5y/7hO7WDfQWj/qHFfx7Y586teHw7DxsHb8yE4CCa8bBQZM983zsR572PjB4wJ34vehl4Pw+CR0Kab8SWhTzeod1Xx6n+7lsZlGDr0MpK7y2saqU5mFkyeDWXLQP+zisqWd0LvLoWzDdw5X7/P3jbFUaWgMF677rE8adZ/bTv2G4v2fc7Y63vjwkWaPZ3hP8zJ9ZjVSd+yOunbXMuWH/yKqNDKzGj4LDZLACsPbmHn37u5plxNGle+lv2nkpl0Y7/sx8/YszLP/C9fqn+dk+4P23liYAgBAVC5sotxIzJ83SyvqVjRxcuvnGLyxFDS0yEwEIa/fJqgIOjYKZM3p4XQq2dpLFa49loHj/b0n21T56baPD3jiexC6nwSZ66jcrWKTN7yGi6Xi+R9RxjXfVqux5ydXJ0xb/hiBrz5GDN+eANrgJUZz83n0B7jLJ7Xe77FsA+fARec/DuNoW1Hk3G66HzJyOV88yfkvCwul3/nfs6kOr5ugohP3POLd+cvFjUf1c37YVaSnHD5PiXylR6X3O7rJvjcZ07vHv8xVft4bV2Jh6Zd+EF+oOhdrERERESKFv/OYnyimJ5ULCIiIuI7SrBERETEPSVYHlOCJSIiImIyFVgiIiIiJtMQoYiIiLjn1BChp5RgiYiIiJhMCZaIiIi45XLpQqOeUoIlIiIiYjIlWCIiIuKe5mB5TAmWiIiIiMmUYImIiIh7utCox5RgiYiIiJhMCZaIiIi459RZhJ5SgiUiIiJiMhVYIiIi4p7L5b2fQjBp0iSmTJmSZ3lSUhI333wzBw4c+LebLsaMGUN0dDSxsbFs3749+7GzZ88mOjqali1bsmbNmguuU0OEIiIiUiydOHGCUaNG8cknn9CzZ89c9zmdTl544QWysrKyl61evZrdu3ezatUq/vzzT3r16kViYiI///wzy5cvJyEhgZMnT9KxY0duvvlmypcvf951q8ASERERt1xenIOVmppKampqnuVhYWGEhYV59Frr1q2jZs2adO/ePc99M2fOpHHjxvzxxx/ZyzZs2EBsbCxWq5VatWoRFRXF999/z9atW7nnnnsIDg4mODiYm2++mfXr19O+ffvzrltDhCIiIlJkzJs3j7vuuivPz7x58zx+rfbt29OrVy8CAgJyLf/xxx/ZunVrnsIrOTmZiIiI7Nvh4eEkJSWdd7k7SrBERETEPS9eB6tr167ExcXlWe4uvUpMTGTUqFG5ltWuXZu5c+fmeezp06d55ZVXmDhxIlZr7pzJdY5+Wq3W8y53RwWWiIiIFBkXMxQYExNDTExMvh67bds2jhw5whNPPAEYqVWvXr2YOnUqkZGRpKSkZD82JSWFiIiIcy6vVauW2/VoiFBERERKjDvuuIPPP/+chIQEEhISiIiI4J133qF27do0adKEFStW4HA4+PPPP9m7dy/16tWjSZMmrFmzhtOnT3Ps2DG+/vprGjVq5HY9SrBERETEvRLyz56jo6PZuXMnbdu2BWDkyJGEhIRw3XXX0bZtW+6//37sdjv9+/cnMjLS7WtZXOcaWPQjzqQ6vm6CiE/c80trXzfBpz6qu8TXTfCpEy67r5vgMz0uud3XTfC5z5zePf5bhnbx2rpWn57vtXUVJiVYIiIi4p5L/yrHU5qDJSIiImIyJVgiIiLilquEzMEykxIsEREREZMpwRIRERH3NAfLY0qwREREREymBEtERETc0hwszynBEhERETGZEiwRERFxT3OwPKYES0RERMRkfv+vckRERESKGiVYIiIiIiZTgSUiIiJiMhVYIiIiIiZTgSUiIiJiMhVYIiIiIiZTgSUiIiJiMhVYIiIiIiZTgSUiIiJiMhVYIiIiIiZTgSUiIiJiMhVYIiIiIiZTgSUiIiJiMhVYIiIiIiZTgVUAK1asIDY2lnvuuYcFCxb4ujled/LkSVq3bs2BAwd83RSvmzp1Kq1ataJVq1aMHTvW183xukmTJhEbG0urVq2YM2eOr5vjE2PGjCE+Pt7XzfC6Rx55hFatWtGuXTvatWvHjh07fN0kr/r888+59957iY6OZsSIEb5ujhRhNl83wF8dPnyYCRMm8PHHHxMUFESnTp245ZZbuPzyy33dNK/YsWMHL774Inv37vV1U7zuq6++YtOmTSxduhSLxULPnj357LPPuOeee3zdNK/45ptv+Prrr1m+fDl2u53Y2FiaNm1K7dq1fd00r9myZQtLly7lzjvv9HVTvMrlcrFnzx7Wr1+PzVbyPj7279/P8OHDWbJkCZUqVaJr165s2LCBpk2b+rppUgQpwbpIX331Fbfeeivly5enVKlStGzZkk8//dTXzfKaxYsXM3z4cCIiInzdFK8LDw8nPj6eoKAgAgMDueyyyzh48KCvm+U1N998M++++y42m42jR4/icDgoVaqUr5vlNX///TcTJkygd+/evm6K1+3ZsweLxcJjjz1G27Ztee+993zdJK/67LPPiI2NpUqVKgQGBjJhwgSuv/56XzdLiqiS9xXEJMnJyYSHh2ffjoiIYOfOnT5skXeNHDnS103wmSuuuCL7971797Jq1SoWLlzowxZ5X2BgIJMnT2b27NlER0cTGRnp6yZ5zbBhw3jqqac4dOiQr5vidampqTRq1IiXXnqJ9PR0HnnkEWrVqsVtt93m66Z5xZ9//klgYCCPPvooKSkpNGvWjIEDB/q6WVJEKcG6SC6XK88yi8Xig5aIr/z+++/06NGDwYMHU7NmTV83x+v69+/Pli1bOHToEIsXL/Z1c7xiyZIlVK1alUaNGvm6KT5Rv359xo4dS6lSpahYsSL3338/GzZs8HWzvMbhcLBlyxbGjRvH4sWL+eGHH1i6dKmvmyVFlAqsixQZGcmRI0eybycnJ5fI4bKSavv27XTr1o1nnnmGuLg4XzfHq3bv3s0vv/wCQGhoKC1atOC3337zcau8Y9WqVWzevJl27doxefJkPv/8c1577TVfN8trtm3bxpYtW7Jvu1yuEjUXq3LlyjRq1IiKFSsSEhLCXXfdVaJGLsQzKrAuUuPGjdmyZQvHjh3j9OnTrFmzhiZNmvi6WeIFhw4dok+fPowfP55WrVr5ujled+DAAV588UUyMzPJzMxk3bp13HTTTb5ullfMmTOHlStXkpCQQP/+/WnevDlDhgzxdbO85sSJE4wdO5aMjAxOnjzJ0qVLS8zJHQDNmjVj06ZNpKam4nA4+PLLL7nmmmt83SwpokrOVw+TRUZG8tRTT/HII4+QlZXF/fffz3XXXefrZokXzJo1i4yMDEaPHp29rFOnTjz44IM+bJX3NG3alB07dtC+fXsCAgJo0aJFiSw0S6JmzZpl73un00nnzp2pX7++r5vlNddffz09e/akc+fOZGVlcdttt3Hffff5ullSRFlc55pMJCIiIiIXTUOEIiIiIiZTgSUiIiJiMhVYIiIiIiZTgSUiIiJiMhVYIiIiIiZTgSUiIiJiMhVYIiIiIiZTgSUiHouJiaFJkyb8/vvvvm6KiEiRpAJLRDy2cuVKatasyerVq33dFBGRIkkFloh4LCAggJtuuqnE/JNnERFP6X8RiojH0tPT+eSTT9B/2hIROTclWCLisQkTJhAZGcn+/ftJS0vzdXNERIocFVgi4pHvv/+eTz/9lClTplC2bFl27drl6yaJiBQ5KrBEJN8yMjJ4/vnnefnllylfvjxXXnml5mGJiJyDCiwRybdJkyZRv3597rzzTgCuvPJKfv31V982SkSkCFKBJSL5snPnTj799FOGDBmSveyqq65SgiUicg4Wl04DEhERETGVEiwRERERk6nAEhERETGZCiwRERERk6nAEhERETGZCiwRERERk6nAEhERETGZCiwRERERk/0/6JX3emMopIEAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -3219,13 +3223,13 @@ "output_type": "stream", "text": [ "Training R2\n", - "0.9999868619217517\n", + "0.9999878260589065\n", "Training MSE\n", - "5.965885569080809\n", + "5.415634483874318\n", "Test R2\n", - "0.9999794306626945\n", + "0.999974281880048\n", "Test MSE\n", - "8.300162456113691\n" + "11.653095390463358\n" ] } ], @@ -3832,31 +3836,31 @@ "output_type": "stream", "text": [ "MSE before scaling: 0.00\n", - "R2 score before scaling 1.00\n", + "R2 score before scaling 0.99\n", "Feature min values before scaling:\n", - " [1.00000000e+00 2.54152940e-03 1.38207279e-03 6.45937170e-06\n", - " 3.51257863e-06 1.91012519e-06 1.64166831e-08 8.92732185e-09\n", - " 4.85463934e-09 2.63993205e-09 4.17234827e-11 2.26890510e-11\n", - " 1.23382086e-11 6.70946493e-12 3.64857826e-12 1.06041458e-13\n", - " 5.76648901e-14 3.13579199e-14 1.70523024e-14 9.27296891e-15\n", - " 5.04260073e-15]\n", + " [1.00000000e+00 2.31109204e-04 5.13266452e-03 5.34114641e-08\n", + " 1.18620601e-06 2.63442451e-05 1.23438810e-11 2.74143127e-10\n", + " 6.08839750e-09 1.35216172e-07 2.85278450e-15 6.33569998e-14\n", + " 1.40708470e-12 3.12497018e-11 6.94019247e-10 6.59304755e-19\n", + " 1.46423858e-17 3.25190225e-16 7.22209371e-15 1.60394236e-13\n", + " 3.56216797e-12]\n", "Feature max values before scaling:\n", - " [1. 0.99817842 0.99945628 0.99636015 0.99763569 0.99891285\n", - " 0.9945452 0.99581841 0.99709325 0.99836973 0.99273355 0.99400444\n", - " 0.99527696 0.99655111 0.99782689 0.9909252 0.99219378 0.99346398\n", - " 0.99473581 0.99600927 0.99728435]\n", + " [1. 0.99997737 0.9950799 0.99995475 0.99505739 0.99018401\n", + " 0.99993212 0.99503487 0.99016161 0.98531221 0.9999095 0.99501236\n", + " 0.99013921 0.98528992 0.98046438 0.99988687 0.99498985 0.9901168\n", + " 0.98526763 0.9804422 0.9756404 ]\n", "Feature min values after scaling:\n", - " [ 0. -1.63437572 -1.76504618 -1.03871832 -1.08415761 -1.13457922\n", - " -0.81620806 -0.83935285 -0.86436607 -0.8914984 -0.69347005 -0.70790937\n", - " -0.72312577 -0.73921714 -0.75629493 -0.61234223 -0.6226921 -0.63339159\n", - " -0.64447921 -0.65599927 -0.66800261]\n", + " [ 0. -1.7621419 -1.74382593 -1.13803928 -1.14662074 -1.15475232\n", + " -0.89942598 -0.90825063 -0.9171356 -0.92605247 -0.76570177 -0.77317984\n", + " -0.78080633 -0.78857629 -0.79648291 -0.67708423 -0.68316185 -0.68937695\n", + " -0.69573183 -0.7022283 -0.70886748]\n", "Feature max values after scaling:\n", - " [0. 1.86574276 1.72218808 2.41770932 2.31730641 2.21347282\n", - " 2.88297395 2.79328828 2.70234019 2.60999846 3.291614 3.20772452\n", - " 3.12283463 3.03697069 2.95014575 3.65766387 3.57871326 3.49865673\n", - " 3.41754964 3.33544681 3.25240108]\n", + " [0. 1.71669651 1.63315151 2.21623344 2.15324631 2.088871\n", + " 2.62856593 2.5755035 2.52158335 2.46675058 2.987902 2.94034531\n", + " 2.8923 2.84372853 2.79459035 3.30968181 3.2653678 3.22076362\n", + " 3.1758506 3.13060772 3.08501147]\n", "MSE after scaling: 0.00\n", - "R2 score for scaled data: 1.00\n" + "R2 score for scaled data: 0.99\n" ] } ], @@ -4155,25 +4159,10 @@ "collapsed": false, "editable": true }, - "outputs": [ - { - "ename": "ValueError", - "evalue": "Found input variables with inconsistent numbers of samples: [1000, 100]", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# split in training and test data\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mX_train\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mX_test\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_test\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrain_test_split\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mtest_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m~/opt/anaconda3/lib/python3.8/site-packages/sklearn/model_selection/_split.py\u001b[0m in \u001b[0;36mtrain_test_split\u001b[0;34m(*arrays, **options)\u001b[0m\n\u001b[1;32m 2125\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Invalid parameters passed: %s\"\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0mstr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0moptions\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2126\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2127\u001b[0;31m \u001b[0marrays\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mindexable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0marrays\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2128\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2129\u001b[0m \u001b[0mn_samples\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_num_samples\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0marrays\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m~/opt/anaconda3/lib/python3.8/site-packages/sklearn/utils/validation.py\u001b[0m in \u001b[0;36mindexable\u001b[0;34m(*iterables)\u001b[0m\n\u001b[1;32m 290\u001b[0m \"\"\"\n\u001b[1;32m 291\u001b[0m \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0m_make_indexable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mX\u001b[0m \u001b[0;32min\u001b[0m \u001b[0miterables\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 292\u001b[0;31m \u001b[0mcheck_consistent_length\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 293\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 294\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m~/opt/anaconda3/lib/python3.8/site-packages/sklearn/utils/validation.py\u001b[0m in \u001b[0;36mcheck_consistent_length\u001b[0;34m(*arrays)\u001b[0m\n\u001b[1;32m 253\u001b[0m \u001b[0muniques\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munique\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlengths\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 254\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0muniques\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 255\u001b[0;31m raise ValueError(\"Found input variables with inconsistent numbers of\"\n\u001b[0m\u001b[1;32m 256\u001b[0m \" samples: %r\" % [int(l) for l in lengths])\n\u001b[1;32m 257\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mValueError\u001b[0m: Found input variables with inconsistent numbers of samples: [1000, 100]" - ] - } - ], + "outputs": [], "source": [ "# split in training and test data\n", - "X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)" + "# X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)" ] }, { @@ -4185,7 +4174,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 39, "metadata": { "collapsed": false, "editable": true @@ -4216,7 +4205,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 40, "metadata": { "collapsed": false, "editable": true @@ -4236,18 +4225,27 @@ "metadata": {}, "source": [ "where $y$ is the function we want to fit with a given polynomial.\n", - "!bsubex\n", - "Write a first code which sets up a design matrix $X$ defined by a fifth-order polynomial. Scale your data and split it in training and test data. \n", - "!esubex\n", "\n", - "!bsubex\n", - "Perform an ordinary least squares and compute the means squared error and the $R2$ factor for the training data and the test data, with and without scaling.\n", - "!esubex\n", "\n", - "!bsubex\n", - "Add now a model which allows you to make polynomials up to degree $15$. Perform a standard OLS fitting of the training data and compute the MSE and $R2$ for the training and test data and plot both test and training data MSE and $R2$ as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)?\n", + "Write a first code which sets up a design matrix $X$ defined by a\n", + "fifth-order polynomial. Scale your data and split it in training and\n", + "test data.\n", "\n", - "!esubex" + "\n", + "\n", + "Perform an ordinary least squares and compute the means squared error\n", + "and the $R2$ factor for the training data and the test data, with and\n", + "without scaling.\n", + "\n", + "\n", + "\n", + "Add now a model which allows you to make polynomials up to degree\n", + "$15$. Perform a standard OLS fitting of the training data and compute\n", + "the MSE and $R2$ for the training and test data and plot both test and\n", + "training data MSE and $R2$ as functions of the polynomial\n", + "degree. Compare what you see with Figure 2.11 of Hastie et al. Comment\n", + "your results. For which polynomial degree do you find an optimal MSE\n", + "(smallest value)?" ] } ], diff --git a/doc/LectureNotes/_build/jupyter_execute/chapter1.py b/doc/LectureNotes/_build/jupyter_execute/chapter1.py index 7ff525383..b828ec607 100644 --- a/doc/LectureNotes/_build/jupyter_execute/chapter1.py +++ b/doc/LectureNotes/_build/jupyter_execute/chapter1.py @@ -483,11 +483,13 @@ ways of dealing with outliers. The Huber cost function is defined as $$ -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-\frac {1}{2}\del\ -ta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(\boldsymbol{a})=\left\{\begin{array}{cc}\frac{1}{2} \boldsymbol{a}^{2}& \text{for }|\boldsymbol{a}|\leq \delta\\ \delta (|\b\ +m{a}|-\frac{1}{2}\delta ),&\text{otherwise}.\end{array}\right. $$ -Here $a=\boldsymbol{y} - \boldsymbol{\tilde{y}}$. +Here $\boldsymbol{a}=\boldsymbol{y} - \boldsymbol{\tilde{y}}$. + + We will discuss in more detail these and other functions in the various lectures. We conclude this part with another example. Instead of a linear $x$-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn. @@ -2146,7 +2148,7 @@ It also common to split the data in a **training** set and a **testing** set. A for testing. This can be done as follows with our design matrix $\boldsymbol{X}$ and data $\boldsymbol{y}$ (remember to import **scikit-learn**) # split in training and test data -X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2) +# X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2) Then we can use the standard scaler to scale our data as @@ -2174,15 +2176,24 @@ x = np.linspace(-3, 3, n).reshape(-1, 1) y = np.exp(-x**2) + 1.5 * np.exp(-(x-2)**2)+ np.random.normal(0, 0.1, x.shape) where $y$ is the function we want to fit with a given polynomial. -!bsubex -Write a first code which sets up a design matrix $X$ defined by a fifth-order polynomial. Scale your data and split it in training and test data. -!esubex -!bsubex -Perform an ordinary least squares and compute the means squared error and the $R2$ factor for the training data and the test data, with and without scaling. -!esubex -!bsubex -Add now a model which allows you to make polynomials up to degree $15$. Perform a standard OLS fitting of the training data and compute the MSE and $R2$ for the training and test data and plot both test and training data MSE and $R2$ as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)? +Write a first code which sets up a design matrix $X$ defined by a +fifth-order polynomial. Scale your data and split it in training and +test data. -!esubex \ No newline at end of file + + +Perform an ordinary least squares and compute the means squared error +and the $R2$ factor for the training data and the test data, with and +without scaling. + + + +Add now a model which allows you to make polynomials up to degree +$15$. Perform a standard OLS fitting of the training data and compute +the MSE and $R2$ for the training and test data and plot both test and +training data MSE and $R2$ as functions of the polynomial +degree. Compare what you see with Figure 2.11 of Hastie et al. Comment +your results. 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zs`>Pnyzo8z{7oQD7deZFh{QJz7RB5KMg(H9-o$z%p(uFsTm;@LNnGD{+RpCyZ&&^r z0FK3iYi^}AJmkTFT$u<9k(Bqm4U$kqYKxYr7JEo4)gv2;Gv2IVx9r|rx6x+gn*q8w zEMPU}p8ZDYS`xJ~CkiDDhwCGe!G=^SfewKzT!61ztuP(>3Cg?aP<)BluZD#gLPO>n z6hJKiwGO%Qrq)&)h)f~95Q0;j2}1uzin79bAxzrfavGaK>tCY0Y`T#;L!opN!!r9tx2-sa4=||q*UdBtEmjd8&wDN3gUMn4}Ji91U46lr)!3apVCQ( z-R#DUFWA5^$Z{-+1Y`h1a#971!A!6|Y;N3e{p?uk3OsijG8ACBP0~FAQ{&Ly^WQs& z|K}AlRj6((UIdV2Ox4uO+ydnC#_d<$c)ji4 pnBwT~TgQ)<^LK;qfBtm?c%v&m*2go0;E5|t=QQ=s6lhr8|1XcJ?jisH diff --git a/doc/LectureNotes/chapter1.ipynb b/doc/LectureNotes/chapter1.ipynb index 6209e3881..756ce7708 100644 --- a/doc/LectureNotes/chapter1.ipynb +++ b/doc/LectureNotes/chapter1.ipynb @@ -629,8 +629,8 @@ "metadata": {}, "source": [ "$$\n", - "H_{\\delta}(a)=\\left\\{\\begin{array}\\frac{1}{2}a^{2}&{\\text{for }}|a|\\leq \\delta ,\\\\ \\delta (|a|-\\frac {1}{2}\\del\\\n", - "ta ),&{\\text{otherwise.}\\end{array}\\right.\n", + "H_{\\delta}(\\boldsymbol{a})=\\left\\{\\begin{array}{cc}\\frac{1}{2} \\boldsymbol{a}^{2}& \\text{for }|\\boldsymbol{a}|\\leq \\delta\\\\ \\delta (|\\b\\\n", + "m{a}|-\\frac{1}{2}\\delta ),&\\text{otherwise}.\\end{array}\\right.\n", "$$" ] }, @@ -638,7 +638,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Here $a=\\boldsymbol{y} - \\boldsymbol{\\tilde{y}}$.\n", + "Here $\\boldsymbol{a}=\\boldsymbol{y} - \\boldsymbol{\\tilde{y}}$.\n", + "\n", + "\n", "We will discuss in more\n", "detail these and other functions in the various lectures. We conclude this part with another example. Instead of \n", "a linear $x$-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn." @@ -3412,7 +3414,7 @@ "outputs": [], "source": [ "# split in training and test data\n", - "X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)" + "# X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)" ] }, { @@ -3475,18 +3477,27 @@ "metadata": {}, "source": [ "where $y$ is the function we want to fit with a given polynomial.\n", - "!bsubex\n", - "Write a first code which sets up a design matrix $X$ defined by a fifth-order polynomial. Scale your data and split it in training and test data. \n", - "!esubex\n", "\n", - "!bsubex\n", - "Perform an ordinary least squares and compute the means squared error and the $R2$ factor for the training data and the test data, with and without scaling.\n", - "!esubex\n", "\n", - "!bsubex\n", - "Add now a model which allows you to make polynomials up to degree $15$. Perform a standard OLS fitting of the training data and compute the MSE and $R2$ for the training and test data and plot both test and training data MSE and $R2$ as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)?\n", + "Write a first code which sets up a design matrix $X$ defined by a\n", + "fifth-order polynomial. Scale your data and split it in training and\n", + "test data.\n", "\n", - "!esubex" + "\n", + "\n", + "Perform an ordinary least squares and compute the means squared error\n", + "and the $R2$ factor for the training data and the test data, with and\n", + "without scaling.\n", + "\n", + "\n", + "\n", + "Add now a model which allows you to make polynomials up to degree\n", + "$15$. Perform a standard OLS fitting of the training data and compute\n", + "the MSE and $R2$ for the training and test data and plot both test and\n", + "training data MSE and $R2$ as functions of the polynomial\n", + "degree. Compare what you see with Figure 2.11 of Hastie et al. Comment\n", + "your results. For which polynomial degree do you find an optimal MSE\n", + "(smallest value)?" ] } ], diff --git a/doc/pub/week34/html/._week34-bs038.html b/doc/pub/week34/html/._week34-bs038.html index ee1073033..377a254ab 100644 --- a/doc/pub/week34/html/._week34-bs038.html +++ b/doc/pub/week34/html/._week34-bs038.html @@ -640,13 +640,16 @@ ways of dealing with outliers.

The Huber cost function is defined as $$ -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-\frac {1}{2}\delta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(\boldsymbol{a})=\left\{\begin{array}{cc}\frac{1}{2} \boldsymbol{a}^{2}& \text{for }|\boldsymbol{a}|\leq \delta\\ \delta (|\boldsymbol{a}|-\frac{1}{2}\delta ),&\text{otherwise}.\end{array}\right. $$ -Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \). -We will discuss in more -detail these and other functions in the various lectures. We conclude this part with another example. Instead of -a linear \( x \)-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn. +Here \( \boldsymbol{a}=\boldsymbol{y} - \boldsymbol{\tilde{y}} \). + +

+We will discuss in more detail these and other functions in the +various lectures. We conclude this part with another example. Instead +of a linear \( x \)-dependence we study now a cubic polynomial and use the +polynomial regression analysis tools of scikit-learn.

diff --git a/doc/pub/week34/html/._week34-bs066.html b/doc/pub/week34/html/._week34-bs066.html index 5e3e40188..70c35b11e 100644 --- a/doc/pub/week34/html/._week34-bs066.html +++ b/doc/pub/week34/html/._week34-bs066.html @@ -656,27 +656,6 @@ Perform an ordinary least squares and compute the means squared error and the \( c) Add now a model which allows you to make polynomials up to degree \( 15 \). Perform a standard OLS fitting of the training data and compute the MSE and \( R2 \) for the training and test data and plot both test and training data MSE and \( R2 \) as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)? -

- - -

-

- -

-Here you simply need to change the degree of the polynomial in the above code to \( n=15 \). -

-
-

- -

- -

diff --git a/doc/pub/week34/html/week34-reveal.html b/doc/pub/week34/html/week34-reveal.html index 3a2da7cec..07e207628 100644 --- a/doc/pub/week34/html/week34-reveal.html +++ b/doc/pub/week34/html/week34-reveal.html @@ -1743,14 +1743,17 @@ ways of dealing with outliers. The Huber cost function is defined as

 
$$ -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-\frac {1}{2}\delta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(\boldsymbol{a})=\left\{\begin{array}{cc}\frac{1}{2} \boldsymbol{a}^{2}& \text{for }|\boldsymbol{a}|\leq \delta\\ \delta (|\boldsymbol{a}|-\frac{1}{2}\delta ),&\text{otherwise}.\end{array}\right. $$

 
-Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \). -We will discuss in more -detail these and other functions in the various lectures. We conclude this part with another example. Instead of -a linear \( x \)-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn. +Here \( \boldsymbol{a}=\boldsymbol{y} - \boldsymbol{\tilde{y}} \). + +

+We will discuss in more detail these and other functions in the +various lectures. We conclude this part with another example. Instead +of a linear \( x \)-dependence we study now a cubic polynomial and use the +polynomial regression analysis tools of scikit-learn.

@@ -3579,12 +3582,6 @@ Perform an ordinary least squares and compute the means squared error and the \( c) Add now a model which allows you to make polynomials up to degree \( 15 \). Perform a standard OLS fitting of the training data and compute the MSE and \( R2 \) for the training and test data and plot both test and training data MSE and \( R2 \) as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)? -

- -Solution. -Here you simply need to change the degree of the polynomial in the above code to \( n=15 \). - -

diff --git a/doc/pub/week34/html/week34-solarized.html b/doc/pub/week34/html/week34-solarized.html index fb074240f..537a3b7fa 100644 --- a/doc/pub/week34/html/week34-solarized.html +++ b/doc/pub/week34/html/week34-solarized.html @@ -1826,13 +1826,16 @@ ways of dealing with outliers.

The Huber cost function is defined as $$ -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-\frac {1}{2}\delta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(\boldsymbol{a})=\left\{\begin{array}{cc}\frac{1}{2} \boldsymbol{a}^{2}& \text{for }|\boldsymbol{a}|\leq \delta\\ \delta (|\boldsymbol{a}|-\frac{1}{2}\delta ),&\text{otherwise}.\end{array}\right. $$ -Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \). -We will discuss in more -detail these and other functions in the various lectures. We conclude this part with another example. Instead of -a linear \( x \)-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn. +Here \( \boldsymbol{a}=\boldsymbol{y} - \boldsymbol{\tilde{y}} \). + +

+We will discuss in more detail these and other functions in the +various lectures. We conclude this part with another example. Instead +of a linear \( x \)-dependence we study now a cubic polynomial and use the +polynomial regression analysis tools of scikit-learn.

@@ -3562,12 +3565,6 @@ Perform an ordinary least squares and compute the means squared error and the \( c) Add now a model which allows you to make polynomials up to degree \( 15 \). Perform a standard OLS fitting of the training data and compute the MSE and \( R2 \) for the training and test data and plot both test and training data MSE and \( R2 \) as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)? -

- -Solution. -Here you simply need to change the degree of the polynomial in the above code to \( n=15 \). - -

diff --git a/doc/pub/week34/html/week34.html b/doc/pub/week34/html/week34.html index 2c5788986..808fa980d 100644 --- a/doc/pub/week34/html/week34.html +++ b/doc/pub/week34/html/week34.html @@ -1831,13 +1831,16 @@ ways of dealing with outliers.

The Huber cost function is defined as $$ -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-\frac {1}{2}\delta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(\boldsymbol{a})=\left\{\begin{array}{cc}\frac{1}{2} \boldsymbol{a}^{2}& \text{for }|\boldsymbol{a}|\leq \delta\\ \delta (|\boldsymbol{a}|-\frac{1}{2}\delta ),&\text{otherwise}.\end{array}\right. $$ -Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \). -We will discuss in more -detail these and other functions in the various lectures. We conclude this part with another example. Instead of -a linear \( x \)-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn. +Here \( \boldsymbol{a}=\boldsymbol{y} - \boldsymbol{\tilde{y}} \). + +

+We will discuss in more detail these and other functions in the +various lectures. We conclude this part with another example. Instead +of a linear \( x \)-dependence we study now a cubic polynomial and use the +polynomial regression analysis tools of scikit-learn.

@@ -3567,12 +3570,6 @@ Perform an ordinary least squares and compute the means squared error and the \( c) Add now a model which allows you to make polynomials up to degree \( 15 \). Perform a standard OLS fitting of the training data and compute the MSE and \( R2 \) for the training and test data and plot both test and training data MSE and \( R2 \) as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)? -

- -Solution. -Here you simply need to change the degree of the polynomial in the above code to \( n=15 \). - -

diff --git a/doc/pub/week34/ipynb/ipynb-week34-src.tar.gz b/doc/pub/week34/ipynb/ipynb-week34-src.tar.gz index e3b48e526341d917934e4f7d1d9913233e4cece8..b42740f87533b8c549fa14811b5057c5594fd561 100644 GIT binary patch delta 20 ccmdnGoNeoJHa7Wg4u(sWjci-l7}rk*08a%6O#lD@ delta 20 ccmdnGoNeoJHa7Wg4u+LQjci-l7}rk*08Ly69RL6T diff --git a/doc/pub/week34/ipynb/week34.ipynb b/doc/pub/week34/ipynb/week34.ipynb index 5f52865d4..a72987afc 100644 --- a/doc/pub/week34/ipynb/week34.ipynb +++ b/doc/pub/week34/ipynb/week34.ipynb @@ -1860,7 +1860,7 @@ "metadata": {}, "source": [ "$$\n", - "H_{\\delta}(a)=\\left\\{\\begin{array}\\frac{1}{2}a^{2}&{\\text{for }}|a|\\leq \\delta ,\\\\ \\delta (|a|-\\frac {1}{2}\\delta ),&{\\text{otherwise.}\\end{array}\\right.\n", + "H_{\\delta}(\\boldsymbol{a})=\\left\\{\\begin{array}{cc}\\frac{1}{2} \\boldsymbol{a}^{2}& \\text{for }|\\boldsymbol{a}|\\leq \\delta\\\\ \\delta (|\\boldsymbol{a}|-\\frac{1}{2}\\delta ),&\\text{otherwise}.\\end{array}\\right.\n", "$$" ] }, @@ -1868,10 +1868,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Here $a=\\boldsymbol{y} - \\boldsymbol{\\tilde{y}}$.\n", - "We will discuss in more\n", - "detail these and other functions in the various lectures. We conclude this part with another example. Instead of \n", - "a linear $x$-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn." + "Here $\\boldsymbol{a}=\\boldsymbol{y} - \\boldsymbol{\\tilde{y}}$.\n", + "\n", + "\n", + "We will discuss in more detail these and other functions in the\n", + "various lectures. We conclude this part with another example. Instead\n", + "of a linear $x$-dependence we study now a cubic polynomial and use the\n", + "polynomial regression analysis tools of scikit-learn." ] }, { @@ -4396,12 +4399,6 @@ "Add now a model which allows you to make polynomials up to degree $15$. Perform a standard OLS fitting of the training data and compute the MSE and $R2$ for the training and test data and plot both test and training data MSE and $R2$ as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)?\n", "\n", "\n", - "\n", - "**Solution.**\n", - "Here you simply need to change the degree of the polynomial in the above code to $n=15$.\n", - "\n", - "\n", - "\n", "" ] } diff --git a/doc/src/week34/week34.do.txt b/doc/src/week34/week34.do.txt index 39c829685..ad6c46f02 100644 --- a/doc/src/week34/week34.do.txt +++ b/doc/src/week34/week34.do.txt @@ -1285,13 +1285,16 @@ ways of dealing with outliers. The Huber cost function is defined as !bt \[ -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-\frac {1}{2}\delta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(\bm{a})=\left\{\begin{array}{cc}\frac{1}{2} \bm{a}^{2}& \text{for }|\bm{a}|\leq \delta\\ \delta (|\bm{a}|-\frac{1}{2}\delta ),&\text{otherwise}.\end{array}\right. \] !et -Here $a=\bm{y} - \bm{\tilde{y}}$. -We will discuss in more -detail these and other functions in the various lectures. We conclude this part with another example. Instead of -a linear $x$-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn. +Here $\bm{a}=\bm{y} - \bm{\tilde{y}}$. + + +We will discuss in more detail these and other functions in the +various lectures. We conclude this part with another example. Instead +of a linear $x$-dependence we study now a cubic polynomial and use the +polynomial regression analysis tools of scikit-learn. !bc pycod import matplotlib.pyplot as plt @@ -2872,9 +2875,7 @@ Perform an ordinary least squares and compute the means squared error and the $R !bsubex Add now a model which allows you to make polynomials up to degree $15$. Perform a standard OLS fitting of the training data and compute the MSE and $R2$ for the training and test data and plot both test and training data MSE and $R2$ as functions of the polynomial degree. Compare what you see with Figure 2.11 of Hastie et al. Comment your results. For which polynomial degree do you find an optimal MSE (smallest value)? -!bsol -Here you simply need to change the degree of the polynomial in the above code to $n=15$. -!esol + !esubex

- - -Solution. - -