Unverified Commit 97a8800a authored by Simon Bowly's avatar Simon Bowly
Browse files

logistic regression: additional notes

parent 2fac1411
%% Cell type:code id:a028c21d tags:
``` python
import pandas as pd
import numpy as np
import seaborn as sns
from sklearn.datasets import load_iris
iris = load_iris()
print(iris['target_names'])
iris_df = pd.DataFrame(
data=iris['data'],
columns=iris['feature_names'],
)
iris_df['target'] = iris['target']
iris_df['target'] = iris_df['target'].map(dict(enumerate(iris['target_names'])))
iris_df['is_virginica'] = (iris_df['target'].eq('virginica'))
```
%%%% Output: stream
['setosa' 'versicolor' 'virginica']
%% Cell type:code id:3ac0832c tags:
``` python
sns.relplot(
data=iris_df,
x="sepal length (cm)",
y="sepal width (cm)",
hue="is_virginica",
);
iris_df.head()
```
%%%% Output: execute_result
sepal length (cm) sepal width (cm) petal length (cm) petal width (cm) \
0 5.1 3.5 1.4 0.2
1 4.9 3.0 1.4 0.2
2 4.7 3.2 1.3 0.2
3 4.6 3.1 1.5 0.2
4 5.0 3.6 1.4 0.2
target is_virginica
0 setosa False
1 setosa False
2 setosa False
3 setosa False
4 setosa False
%%%% Output: display_data
![](data:image/png;base64,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)
%% Cell type:code id:58f2640d tags:
``` python
iris_df['is_virginica'] = iris_df['is_virginica'].astype(float)
iris_df.sample(10, random_state=235)
```
%%%% Output: execute_result
sepal length (cm) sepal width (cm) petal length (cm) petal width (cm) \
56 6.3 3.3 4.7 1.6
107 7.3 2.9 6.3 1.8
84 5.4 3.0 4.5 1.5
21 5.1 3.7 1.5 0.4
41 4.5 2.3 1.3 0.3
97 6.2 2.9 4.3 1.3
116 6.5 3.0 5.5 1.8
18 5.7 3.8 1.7 0.3
47 4.6 3.2 1.4 0.2
43 5.0 3.5 1.6 0.6
target is_virginica
56 versicolor 0.0
107 virginica 1.0
84 versicolor 0.0
21 setosa 0.0
41 setosa 0.0
97 versicolor 0.0
116 virginica 1.0
18 setosa 0.0
47 setosa 0.0
43 setosa 0.0
%% Cell type:code id:ef60ba7b tags:
``` python
sns.regplot(
data=iris_df.assign(
is_virginica=lambda df: df["is_virginica"] + np.random.normal(scale=0.02, size=df.shape[0])
),
x="sepal length (cm)",
y="is_virginica",
scatter_kws=dict(alpha=0.5),
fit_reg=False,
);
```
%%%% Output: display_data
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)
%% Cell type:code id:4325c2c4 tags:
``` python
sns.relplot(
data=iris_df,
x="sepal length (cm)",
y="sepal width (cm)",
hue="is_virginica",
);
```
%%%% Output: display_data
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)
%% Cell type:code id:4e1cc263 tags:
``` python
from sklearn.linear_model import LogisticRegression
model = LogisticRegression()
model.fit(iris_df[["sepal width (cm)", "sepal length (cm)"]], iris_df["is_virginica"])
probabilities = model.predict_proba(iris_df[["sepal width (cm)", "sepal length (cm)"]])
sns.relplot(
data=iris_df.assign(prob_virginica=lambda df: probabilities[:, 1]),
x="sepal length (cm)",
y="sepal width (cm)",
hue="prob_virginica",
)
```
%%%% Output: execute_result
<seaborn.axisgrid.FacetGrid at 0x7f35ec466820>
%%%% Output: display_data
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)
%% Cell type:code id:d519e9cf tags:
``` python
from sklearn.linear_model import LogisticRegression
model = LogisticRegression()
model.fit(iris_df[["sepal width (cm)", "sepal length (cm)"]], iris_df["is_virginica"])
probabilities = model.predict(iris_df[["sepal width (cm)", "sepal length (cm)"]])
sns.relplot(
data=iris_df.assign(prob_virginica=lambda df: probabilities),
x="sepal length (cm)",
y="sepal width (cm)",
hue="prob_virginica",
)
```
%%%% Output: execute_result
<seaborn.axisgrid.FacetGrid at 0x7f35e792a190>
%%%% Output: display_data
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)
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