arXiv Machine Learning By Mayank Sharma, Rohit Kumar Mourya

Beyond the Simplex: Balanced Prototype Geometry for Scorer-Agnostic Open-Set Recognition

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arXiv:2606. 01883v1 Announce Type: new Abstract: Open-set recognition (OSR) requires a classifier to reject inputs from unseen classes which is essential in safety-critical settings such as medical imaging.

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arXiv Machine Learning
Aug 28

Common Geodesics Do Not Guarantee Fisher Consistency of the Structured SVM: Minimal Counterexamples and a Tree-Metric Classification

The paper demonstrates that the common-geodesic condition—where every output triple shares a geodesic point in a metric—does not ensure Fisher consistency for the structured SVM with the standard coordinate-wise argmax decoder. It presents minimal counterexamples, including a four-output star and a tree-metric classification, showing that only path-shaped trees maintain argmax consistency. The study also identifies the smallest full-support counterexamples and provides exact primal-dual certificates for all optimality claims.

By Jintao Fei, Jiangying Luo