A Hybrid of Generative and Discriminative Models Based on the Gaussian-coupled Softmax Layer
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Abstract (arXiv)
Generative models have advantageous characteristics for classification tasks such as the availability of unsupervised data and calibrated confidence, whereas discriminative models have advantages in terms of the simplicity of their model structures and learning algorithms and their ability to outperform their generative counterparts. In this paper, we propose a method to train a hybrid of discriminative and generative models in a single neural network (NN), which exhibits the characteristics of both models. The key idea is the Gaussian-coupled softmax layer, which is a fully connected layer with a softmax activation function coupled with Gaussian distributions. This layer can be embedded into an NN-based classifier and allows the classifier to estimate both the class posterior distribution and the class-conditional data distribution. We demonstrate that the proposed hybrid model can be applied to semi-supervised learning and confidence calibration.
Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 25 of its 48 references that are in the map. First posted on arXiv 10 May 2023.
Builds on
25 of 48 references.
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13 more
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Citing papers per year: 2024: 2; 2025: 1; 2026: 1.
4 papers.
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- 2024CALICO: Confident Active Learning with Integrated Calibrationcited by 1
- 2024Pseudo-label Learning with Calibrated Confidence Using an Energy-based Modelcited by 0
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- 2026Expert-Guided Class-Conditional Goodness-of-Fit Scores for Interpretable Classification with Informative Missingness: An Application to Seismic Monitoring16 Apr 2026
- 2025Generative or Discriminative? Revisiting Text Classification in the Era of Transformers13 Jun 2025
- 2024CALICO: Confident Active Learning with Integrated Calibration2 Jul 2024
- 2024Pseudo-label Learning with Calibrated Confidence Using an Energy-based Model15 Apr 2024