ML0028 Softmax

What is the Softmax activation function, and what is its purpose?

Answer

Softmax is an activation function typically used in the output layer of a neural network for multi-class classification problems. Its purpose is to convert a vector of raw scores (logits) into a probability distribution over the possible output classes. The output of Softmax is a vector where each element represents the probability of the input belonging to a specific class, and the sum of these probabilities is always 1.
\mbox{Softmax}(z_i) = \frac{e^{z_i}}{\sum_{j=1}^{K} e^{z_j}}
Where:
 z_i represents the raw score (also known as a “logit”) for the i th class.
 K represents the total number of classes in the classification problem.

The combination of the softmax function with the cross-entropy loss function is standard for multi-class classification problems. The softmax function provides a probability distribution over classes, and the cross-entropy loss measures how well this predicted distribution aligns with the true distribution (typically a one-hot encoded vector).


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