Multiclass Formulation
Explore the multiclass extension through softmax activation.
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Multiclass extension
The logistic regression model offers two significant advantages: the ability to learn probabilities and the natural extension to handle multiple classes. Let’s explore how we can extend a binary classification model to a multiclassification model with classes. This technique is also called one-vs-all (one-vs-rest).
Algorithm
For each class in the dataset:
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Set the labels of class to 1, indicating positive instances.
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Set the labels of all other classes to 0, representing negative instances.
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Apply logistic regression on the modified dataset, treating it as a binary classification problem with class as the positive class (1) and all other classes as the negative class (0). Save the corresponding model parameters .
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Predict the probability ...