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Multiclass Linear Perceptrons with Multiplicative Margins

arXiv · AI, language, vision and robotics · article · Aug 30, 2026 · UTC

This paper introduces a family of multiclass linear Perceptron classifiers with a multiplicative margin mechanism (MMPerc), as an alternative to standard margin-free and additive margin Perceptrons. The multiplicative formulation enforces classification confidence by requiring the true class score to exceed that of competing classes by a specified fraction of itself, rather than by a fixed additive threshold. This avoids dependence on score magnitudes arising from varied norms of data and class weight vectors. We propose several architectural and algorithmic variants of MMPerc, derive associat

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First collected: 2026-09-21T07:22:03.933Z. This is not the publication date.