Hinge Loss Quiz

Answers and explanations appear as you take the quiz.

1. A correctly labeled example has signed margin 0.4. What is its hinge loss?
   • 0.6
   • 0
   • 1.4
   • 0.4
2. At what signed margin does hinge loss first become zero?
   • Exactly zero only
   • One or greater
   • Any negative value
   • At minus one or less
3. A negative-labeled case receives score 0.5. What is its signed margin?
   • 1.5
   • 0.5
   • -0.5
   • -1.5
4. Why can a correctly classified point have positive hinge loss?
   • The point must be mislabeled
   • Correct classification always means a negative score
   • Hinge loss ignores all margins
   • It can be on the correct side but inside the unit margin
5. How does logistic loss differ for a correctly classified point far beyond the margin?
   • It is always exactly zero
   • It continues to have a positive loss
   • It becomes a class probability itself
   • It is not defined for positive scores
6. Which objective tradeoff is common in a linear SVM?
   • A clustering compactness term plus a tree-depth penalty
   • A squared-error term on numeric class labels plus a seasonal term
   • A weight-norm penalty balanced against hinge-loss violations
   • A probability calibration penalty balanced against class frequency
7. Why should a decision score not be reported directly as a calibrated probability?
   • A decision score is already the observed event frequency
   • Any score above zero is automatically a calibrated probability
   • Every SVM estimates a generative distribution over classes
   • Hinge loss does not itself calibrate decision scores as probabilities
8. What should be checked when comparing two SVM implementations called linear classifiers?
   • Whether the estimators use hinge or squared hinge and compatible regularization settings
   • Whether identical training accuracy implies that their loss definitions are equivalent
   • Whether raw loss values must match even when their loss definitions differ
   • Whether each implementation reaches 100% training accuracy