Virtual Class Enhanced Discriminative Embedding Learning
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Abstract (arXiv)
Recently, learning discriminative features to improve the recognition performances gradually becomes the primary goal of deep learning, and numerous remarkable works have emerged. In this paper, we propose a novel yet extremely simple method Virtual Softmax to enhance the discriminative property of learned features by injecting a dynamic virtual negative class into the original softmax. Injecting virtual class aims to enlarge inter-class margin and compress intra-class distribution by strengthening the decision boundary constraint. Although it seems weird to optimize with this additional virtual class, we show that our method derives from an intuitive and clear motivation, and it indeed encourages the features to be more compact and separable. This paper empirically and experimentally demonstrates the superiority of Virtual Softmax, improving the performances on a variety of object classification and face verification tasks.
Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). First posted on arXiv 30 Nov 2018.
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Citing papers per year: 2021: 7; 2022: 2; 2023: 1; 2024: 0; 2025: 2; 2026: 1.
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- 2021Regular Polytope Networkscited by 24
- 2021Learning with Memory-based Virtual Classes for Deep Metric Learningcited by 21
- 2021Knowledge Evolution in Neural Networkscited by 18
- 2021Proxy Synthesis: Learning with Synthetic Classes for Deep Metric Learningcited by 17
- 2021Variational Attention: Propagating Domain-Specific Knowledge for Multi-Domain Learning in Crowd Countingcited by 15
- 2021Improving Generalization in Meta-RL with Imaginary Tasks from Latent Dynamics Mixturecited by 12
- 2023MIMIR: Masked Image Modeling for Mutual Information-based Adversarial Robustnesscited by 12
- 2021Recent Advances in Large Margin Learningcited by 7
- 2022Deep Metric Learning with Chance Constraintscited by 3
- 2025HH-Codec: High Compression High-fidelity Discrete Neural Codec for Spoken Language Modelingcited by 2
- 2025BackSplit: The Importance of Sub-dividing the Background in Biomedical Lesion Segmentationcited by 2
- 2022Learning to Generate Novel Classes for Deep Metric Learningcited by 1
1 more
- 2026Decoupling Generalizability and Membership Privacy Risks in Neural Networks2 Feb 2026
- 2025BackSplit: The Importance of Sub-dividing the Background in Biomedical Lesion Segmentation24 Nov 2025
- 2025HH-Codec: High Compression High-fidelity Discrete Neural Codec for Spoken Language Modeling25 Jul 2025
- 2023MIMIR: Masked Image Modeling for Mutual Information-based Adversarial Robustness8 Dec 2023
- 2022Deep Metric Learning with Chance Constraints19 Sep 2022
- 2022Learning to Generate Novel Classes for Deep Metric Learning4 Jan 2022
- 2021Variational Attention: Propagating Domain-Specific Knowledge for Multi-Domain Learning in Crowd Counting18 Aug 2021
- 2021Improving Generalization in Meta-RL with Imaginary Tasks from Latent Dynamics Mixture28 May 2021
- 2021Learning with Memory-based Virtual Classes for Deep Metric Learning31 Mar 2021
- 2021Regular Polytope Networks29 Mar 2021
- 2021Proxy Synthesis: Learning with Synthetic Classes for Deep Metric Learning29 Mar 2021
- 2021Recent Advances in Large Margin Learning25 Mar 2021
1 more
- 2021Knowledge Evolution in Neural Networks9 Mar 2021
- 2021Regular Polytope Networkscited by 24
- 2021Learning with Memory-based Virtual Classes for Deep Metric Learningcited by 21
- 2021Knowledge Evolution in Neural Networkscited by 18
- 2021Proxy Synthesis: Learning with Synthetic Classes for Deep Metric Learningcited by 17
- 2021Variational Attention: Propagating Domain-Specific Knowledge for Multi-Domain Learning in Crowd Countingcited by 15
- 2021Improving Generalization in Meta-RL with Imaginary Tasks from Latent Dynamics Mixturecited by 12
- 2021Recent Advances in Large Margin Learningcited by 7
- 2022Deep Metric Learning with Chance Constraintscited by 3
- 2025HH-Codec: High Compression High-fidelity Discrete Neural Codec for Spoken Language Modelingcited by 2
- 2025BackSplit: The Importance of Sub-dividing the Background in Biomedical Lesion Segmentationcited by 2
- 2022Learning to Generate Novel Classes for Deep Metric Learningcited by 1
- 2026Decoupling Generalizability and Membership Privacy Risks in Neural Networkscited by 1
- 2026Decoupling Generalizability and Membership Privacy Risks in Neural Networks2 Feb 2026
- 2025BackSplit: The Importance of Sub-dividing the Background in Biomedical Lesion Segmentation24 Nov 2025
- 2025HH-Codec: High Compression High-fidelity Discrete Neural Codec for Spoken Language Modeling25 Jul 2025
- 2022Deep Metric Learning with Chance Constraints19 Sep 2022
- 2022Learning to Generate Novel Classes for Deep Metric Learning4 Jan 2022
- 2021Variational Attention: Propagating Domain-Specific Knowledge for Multi-Domain Learning in Crowd Counting18 Aug 2021
- 2021Improving Generalization in Meta-RL with Imaginary Tasks from Latent Dynamics Mixture28 May 2021
- 2021Learning with Memory-based Virtual Classes for Deep Metric Learning31 Mar 2021
- 2021Regular Polytope Networks29 Mar 2021
- 2021Proxy Synthesis: Learning with Synthetic Classes for Deep Metric Learning29 Mar 2021
- 2021Recent Advances in Large Margin Learning25 Mar 2021
- 2021Knowledge Evolution in Neural Networks9 Mar 2021