Multi-class Support Vector Machine with Maximizing Minimum Margin
To address the challenges of implicit margin optimization and insufficient decision-boundary robustness in multiclass SVMs, this paper proposes a novel unified multiclass SVM framework. It explicitly incorporates the maximum-margin principle into the modeling process for the first time, jointly optimizing pairwise losses across all class pairs via structured optimization and introducing margin-driven regularization. Theoretically, the framework unifies margin maximization with multiclass loss minimization; practically, it can be seamlessly integrated into deep networks as a drop-in replacement or enhancement for the softmax layer. Extensive experiments on multiple benchmark datasets demonstrate that the proposed method significantly outperforms one-vs-one (OvO), one-vs-rest (OvR), and state-of-the-art multiclass SVM approaches, achieving consistent improvements in both generalization performance and adversarial robustness.