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Visualizing multi-class logistic regression

In this exercise we'll continue with the two types of multi-class logistic regression, but on a toy 2D data set specifically designed to break the one-vs-rest scheme.

The data set is loaded into X_train and y_train. The two logistic regression objects,lr_mn and lr_ovr, are already instantiated (with C=100), fit, and plotted.

Notice that lr_ovr never predicts the dark blue class… yikes! Let's explore why this happens by plotting one of the binary classifiers that it's using behind the scenes.

Cet exercice fait partie du cours

Linear Classifiers in Python

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Instructions

  • Create a new logistic regression object (also with C=100) to be used for binary classification.
  • Visualize this binary classifier with plot_classifier… does it look reasonable?

Exercice interactif pratique

Essayez cet exercice en complétant cet exemple de code.

# Print training accuracies
print("Softmax     training accuracy:", lr_mn.score(X_train, y_train))
print("One-vs-rest training accuracy:", lr_ovr.score(X_train, y_train))

# Create the binary classifier (class 1 vs. rest)
lr_class_1 = ____
lr_class_1.fit(X_train, y_train==1)

# Plot the binary classifier (class 1 vs. rest)
plot_classifier(X_train, y_train==1, ____)
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