mlsanityData to 14 Oct 2026

Noisy Softmax: Improving the Generalization Ability of DCNN via Postponing the Early Softmax Saturation

arXiv 1708.03769 ↗First posted 12 Aug 2017cs.CVcited by 21

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Abstract (arXiv)

Over the past few years, softmax and SGD have become a commonly used component and the default training strategy in CNN frameworks, respectively. However, when optimizing CNNs with SGD, the saturation behavior behind softmax always gives us an illusion of training well and then is omitted. In this paper, we first emphasize that the early saturation behavior of softmax will impede the exploration of SGD, which sometimes is a reason for model converging at a bad local-minima, then propose Noisy Softmax to mitigating this early saturation issue by injecting annealed noise in softmax during each iteration. This operation based on noise injection aims at postponing the early saturation and further bringing continuous gradients propagation so as to significantly encourage SGD solver to be more exploratory and help to find a better local-minima. This paper empirically verifies the superiority of the early softmax desaturation, and our method indeed improves the generalization ability of CNN model by regularization. We experimentally find that this early desaturation helps optimization in many tasks, yielding state-of-the-art or competitive results on several popular benchmark datasets.

Key facts. Cited by 21 papers in the map (data through 14 Oct 2026). First posted on arXiv 12 Aug 2017.

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Citing papers per year: 2021: 6; 2022: 2; 2023: 7; 2024: 4; 2025: 0; 2026: 2.

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  11. 2023ProS: Facial Omni-Representation Learning via Prototype-based Self-Distillationcited by 3
  12. 2021Center Loss Regularization for Continual Learningcited by 2
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  4. 2024SymFace: Additional Facial Symmetry Loss for Deep Face Recognitioncited by 1
  5. 2021GB-CosFace: Rethinking Softmax-based Face Recognition from the Perspective of Open Set Classificationcited by 0
  6. 2023Perception Reinforcement Using Auxiliary Learning Feature Fusion: A Modified Yolov8 for Head Detectioncited by 0
  7. 2024Age-Defying Face Recognition with Transformer-Enhanced Losscited by 0
  8. 2026Jacobian-guided Noise Injection for Quantization Robustness in Large Language Modelscited by 0
  9. 2026Re-calibrated Contrastive Loss for Transformation-Aware Prompt Conditioning in Vision-Language Modelscited by 0