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We know that linear kernel SVM may give better results than logistic regression since maximizing the margin usually leads to more stable results/better displacement of the decision boundary. But is there any scenario in which a linear kernel SVM performs worse than a logistic regression with respect to test accuracy?

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  • $\begingroup$ Define "better"/"worse". By what metric? $\endgroup$
    – D.W.
    Jan 8, 2023 at 2:12
  • $\begingroup$ As written, with respect to test accuracy, meaning that lower test accuracy results in worse results $\endgroup$
    – DaSim
    Jan 9, 2023 at 9:27

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SVM may perform worse than Logistic Regression when the dataset is small, thus data points near the decision boundary (Support Vectors) may not be a true representation of the actual decision boundary, and thus may form a false maximum margin classifier boundary.
I don't have any dataset example in mind but theoretically, that should be it

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