4.5 Article

The Perils of Being Unhinged: On the Accuracy of Classifiers Minimizing a Noise-Robust Convex Loss

Journal

NEURAL COMPUTATION
Volume 34, Issue 6, Pages 1488-1499

Publisher

MIT PRESS
DOI: 10.1162/neco_a_01502

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The study investigates the accuracy of binary classifiers obtained by minimizing the unhinged loss, finding that even for simple linearly separable data distributions, minimizing the unhinged loss may only yield a binary classifier with accuracy no better than random guessing.
van Rooyen, Menon, and Williamson (2015) introduced a notion of convex loss functions being robust to random classification noise and established that the unhinged loss function is robust in this sense. In this letter, we study the accuracy of binary classifiers obtained by minimizing the unhinged loss and observe that even for simple linearly separable data distributions, minimizing the unhinged loss may only yield a binary classifier with accuracy no better than random guessing.

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