Which of the following loss functions would be most appropriate for a multi-class classification problem where the goal is to maximize the margin between classes?

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Hinge Loss

Neyman-Pearson Loss

Logistic Loss

Squared Error Loss

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Answer

The most suitable loss is the multiclass hinge loss, also called the structured SVM loss. It penalises predictions that are not at least a margin away from the correct class, encouraging a clear separation between classes. The loss is zero when the correct class scores higher than all others by a specified margin; otherwise it grows linearly with the violation. For example, if the correct class has score 5 and the highest competing class has score 3 with margin 1, the loss is \(5-3+1=3\). This hinge‑style penalty directly enforces a margin between classes.

Detailed Explanation

That loss pushes each class away from the others. Other options are incorrect because Neyman-Pearson Loss focuses on balancing false positives and negatives; Logistic loss gives probabilities.

Key Concepts

Multi-class Loss Functions

Margin Maximization

Classification Models

Topic

Multi-class Loss Functions

Difficulty

medium level question

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understand

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