Large Margin Discriminative Loss for Classification

التفاصيل البيبلوغرافية
العنوان: Large Margin Discriminative Loss for Classification
المؤلفون: Nguyen, Hai-Vy, Gamboa, Fabrice, Zhang, Sixin, Chhaibi, Reda, Gratton, Serge, Giaccone, Thierry
سنة النشر: 2024
المجموعة: Computer Science
Statistics
مصطلحات موضوعية: Statistics - Machine Learning, Computer Science - Machine Learning
الوصف: In this paper, we introduce a novel discriminative loss function with large margin in the context of Deep Learning. This loss boosts the discriminative power of neural nets, represented by intra-class compactness and inter-class separability. On the one hand, the class compactness is ensured by close distance of samples of the same class to each other. On the other hand, the inter-class separability is boosted by a margin loss that ensures the minimum distance of each class to its closest boundary. All the terms in our loss have an explicit meaning, giving a direct view of the feature space obtained. We analyze mathematically the relation between compactness and margin term, giving a guideline about the impact of the hyper-parameters on the learned features. Moreover, we also analyze properties of the gradient of the loss with respect to the parameters of the neural net. Based on this, we design a strategy called partial momentum updating that enjoys simultaneously stability and consistency in training. Furthermore, we also investigate generalization errors to have better theoretical insights. Our loss function systematically boosts the test accuracy of models compared to the standard softmax loss in our experiments.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.18499
رقم الأكسشن: edsarx.2405.18499
قاعدة البيانات: arXiv