Commit 406ee6c4 authored by Florent Chatelain's avatar Florent Chatelain
Browse files

up group+dates

parent 3a4f4009
......@@ -2,7 +2,7 @@
## News
For *doctoral students*: for the lab sessions, please come to the IMMAC sessions (group `5PMSAST6_2021_S9_BE_G2` with [ADE](https://edt.grenoble-inp.fr/2021-2022/exterieur/))
For *doctoral or erasmus students*: for the lab sessions, please come to the IMMAC sessions (group `5PMSAST6_2021_S9_BE_G2` with [ADE](https://edt.grenoble-inp.fr/2021-2022/exterieur/))
<!--
......
......@@ -9,7 +9,7 @@
},
{
"cell_type": "code",
"execution_count": 1,
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
......@@ -23,7 +23,7 @@
},
{
"cell_type": "code",
"execution_count": 2,
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
......@@ -42,7 +42,7 @@
},
{
"cell_type": "code",
"execution_count": 3,
"execution_count": 10,
"metadata": {},
"outputs": [
{
......@@ -51,13 +51,13 @@
"Text(0, 0.5, '$x_2$')"
]
},
"execution_count": 3,
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
......@@ -71,7 +71,7 @@
"source": [
"from sklearn.datasets import make_classification\n",
"#X are the features (aka inputs, ...), y the labels (aka responses, targets, output...)\n",
"X,y = make_classification(n_features=2, n_redundant=0, n_informative=2, n_samples=150,\n",
"X,y = make_classification(n_features=2, n_redundant=0, n_informative=1, n_samples=150,\n",
" random_state=random_state, n_clusters_per_class=1)\n",
"# make the class labels y_i as +1 or -1\n",
"y[y==0]=-1\n",
......@@ -93,7 +93,7 @@
},
{
"cell_type": "code",
"execution_count": 4,
"execution_count": 11,
"metadata": {},
"outputs": [
{
......@@ -102,7 +102,7 @@
"RidgeClassifier(alpha=0)"
]
},
"execution_count": 4,
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
......@@ -117,7 +117,7 @@
},
{
"cell_type": "code",
"execution_count": 5,
"execution_count": 12,
"metadata": {},
"outputs": [
{
......@@ -126,13 +126,13 @@
"Text(0, 0.5, '$x_2$')"
]
},
"execution_count": 5,
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
......
%% Cell type:markdown id: tags:
This notebook can be run on mybinder: [![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/git/https%3A%2F%2Fgricad-gitlab.univ-grenoble-alpes.fr%2Fchatelaf%2Fml-sicom3a/master?filepath=notebooks%2F/1_introduction/N1_Linear_Classification.ipynb)
%% Cell type:code id: tags:
``` python
# Import modules
%matplotlib inline
import matplotlib
import numpy as np
import scipy as sp
import matplotlib.pyplot as plt
```
%% Cell type:code id: tags:
``` python
# Select random seed
random_state = 0
```
%% Cell type:markdown id: tags:
We use scikit-learn to generate a toy 2D data set (two features $x_1$ and $x_2$) for binary classification (two classes)
- each sample $(x_1,x_2)$ in the dataset is plotted as a 2D point where the two features $x_1$ and $x_2$ are displayed along the abscissa and ordinate axes respectively
- the corresponding class label $y$ is displayed as a color mark (e.g., yellow or purple)
%% Cell type:code id: tags:
``` python
from sklearn.datasets import make_classification
#X are the features (aka inputs, ...), y the labels (aka responses, targets, output...)
X,y = make_classification(n_features=2, n_redundant=0, n_informative=2, n_samples=150,
X,y = make_classification(n_features=2, n_redundant=0, n_informative=1, n_samples=150,
random_state=random_state, n_clusters_per_class=1)
# make the class labels y_i as +1 or -1
y[y==0]=-1
# display the dataset
plt.figure(figsize=(8,6))
plt.scatter(X[:,0], X[:,1], c=y)
plt.grid(True)
plt.xlabel('$x_1$')
plt.ylabel('$x_2$')
#plt.savefig("2d_binary_classif.pdf")
```
%%%% Output: execute_result
Text(0, 0.5, '$x_2$')
%%%% Output: display_data
[Hidden Image Output]
%% Cell type:markdown id: tags:
Then, a linear model is used to learn the classification function/rule.
%% Cell type:code id: tags:
``` python
from sklearn import linear_model
# Train a linear model, namely RidgeClassifier,
# this includes standard linear regression as particular case (alpha=0)
model = linear_model.RidgeClassifier(alpha=0)
model.fit(X,y)
```
%%%% Output: execute_result
RidgeClassifier(alpha=0)
%% Cell type:code id: tags:
``` python
# Plot the decision functions
XX, YY = np.meshgrid(np.linspace(X[:,0].min(), X[:,0].max(),200),
np.linspace(X[:,1].min(), X[:,1].max(),200))
XY = np.vstack([XX.flatten(), YY.flatten()]).T
yp = model.predict(XY)
plt.figure(figsize=(8,6))
plt.contour(XX,YY,yp.reshape(XX.shape),[0])
plt.scatter(X[:,0], X[:,1], c=y)
plt.grid("on")
plt.xlabel('$x_1$')
plt.ylabel('$x_2$')
```
%%%% Output: execute_result
Text(0, 0.5, '$x_2$')
%%%% Output: display_data
[Hidden Image Output]
%% Cell type:code id: tags:
``` python
# What are the parameter values of the linear boundary equation x_2=a x_1 + b?
a = -model.coef_[0][0]/model.coef_[0][1]
b = -model.intercept_[0]/model.coef_[0][1]
print('boudary equation x_2={} x_1 + {}'.format(a,b))
```
%%%% Output: stream
boudary equation x_2=-0.5596406428840415 x_1 + 0.6410047882764905
%% Cell type:markdown id: tags:
### Exercise
Change the number of informative features from `n_informative=2̀` to `n_informative=1` in the `make_classification()` procedure, regenerate the data set and fit the classification rule. Interpret now the new decision boundary: are the two variables of equal importance in predicting the class of the data?
%% Cell type:code id: tags:
``` python
#get the documentation for sklearn RidgeClassification object
linear_model.RidgeClassifier?
```
%%%% Output: display_data
%% Cell type:code id: tags:
``` python
```
......
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