📝 Exercise M4.05

In the previous notebook we set penalty="none" to disable regularization entirely. This parameter can also control the type of regularization to use, whereas the regularization strength is set using the parameter C. Settingpenalty="none" is equivalent to an infinitely large value of C. In this exercise, we ask you to train a logistic regression classifier using the penalty="l2" regularization (which happens to be the default in scikit-learn) to find by yourself the effect of the parameter C.

We will start by loading the dataset.

Note

If you want a deeper overview regarding this dataset, you can refer to the Appendix - Datasets description section at the end of this MOOC.

import pandas as pd

penguins = pd.read_csv("../datasets/penguins_classification.csv")
# only keep the Adelie and Chinstrap classes
penguins = (
    penguins.set_index("Species").loc[["Adelie", "Chinstrap"]].reset_index()
)

culmen_columns = ["Culmen Length (mm)", "Culmen Depth (mm)"]
target_column = "Species"

from sklearn.model_selection import train_test_split

penguins_train, penguins_test = train_test_split(penguins, random_state=0)

data_train = penguins_train[culmen_columns]
data_test = penguins_test[culmen_columns]

target_train = penguins_train[target_column]
target_test = penguins_test[target_column]

First, let’s create our predictive model.

from sklearn.pipeline import make_pipeline
from sklearn.preprocessing import StandardScaler
from sklearn.linear_model import LogisticRegression

logistic_regression = make_pipeline(
    StandardScaler(), LogisticRegression(penalty="l2")
)

Given the following candidates for the C parameter, find out the impact of C on the classifier decision boundary. You can use sklearn.inspection.DecisionBoundaryDisplay.from_estimator to plot the decision function boundary.

Cs = [0.01, 0.1, 1, 10]

# Write your code here.

Look at the impact of the C hyperparameter on the magnitude of the weights.

# Write your code here.