What is the difference between hinge loss and cross-entropy loss?

Updated May 17, 2026

Short answer

Hinge loss is used in SVMs for margin maximization, while cross-entropy is used in probabilistic classification.

Deep explanation

Hinge loss penalizes predictions based on margin violations and is used in max-margin classifiers like SVM. Cross-entropy loss measures difference between predicted probability distribution and true labels. Cross-entropy is smoother and widely used in neural networks.

Real-world example

SVM uses hinge loss for text classification; neural networks use cross-entropy for image classification.

Common mistakes

  • Using hinge loss when probabilistic outputs are required.

Follow-up questions

  • Why is cross-entropy preferred in deep learning?
  • What is margin in hinge loss?

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