Recent Advances in Large Margin Learning
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Abstract (arXiv)
This paper serves as a survey of recent advances in large margin training and its theoretical foundations, mostly for (nonlinear) deep neural networks (DNNs) that are probably the most prominent machine learning models for large-scale data in the community over the past decade. We generalize the formulation of classification margins from classical research to latest DNNs, summarize theoretical connections between the margin, network generalization, and robustness, and introduce recent efforts in enlarging the margins for DNNs comprehensively. Since the viewpoint of different methods is discrepant, we categorize them into groups for ease of comparison and discussion in the paper. Hopefully, our discussions and overview inspire new research work in the community that aim to improve the performance of DNNs, and we also point to directions where the large margin principle can be verified to provide theoretical evidence why certain regularizations for DNNs function well in practice. We managed to shorten the paper such that the crucial spirit of large margin learning and related methods are better emphasized.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). Builds on 82 of its 118 references that are in the map. First posted on arXiv 25 Mar 2021.
Builds on
82 of 118 references.
References · 82
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38 more
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50 most cited of 82 All 82 (JSON)
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Citing papers per year: 2023: 3; 2024: 4.
7 papers.
- 2024A Systematic Review on Long-Tailed Learningcited by 27
- 2023Certified Robustness via Dynamic Margin Maximization and Improved Lipschitz Regularizationcited by 19
- 2023Certified Robust Models with Slack Control and Large Lipschitz Constantscited by 3
- 2024Edge Detectors Can Make Deep Convolutional Neural Networks More Robustcited by 2
- 2024Marginal Debiased Network for Fair Visual Recognitioncited by 1
- 2023Dendritic Integration Based Quadratic Neural Networks Outperform Traditional Aritificial Onescited by 0
- 2024Potential Energy based Mixture Model for Noisy Label Learningcited by 0
- 2024A Systematic Review on Long-Tailed Learning1 Aug 2024
- 2024Potential Energy based Mixture Model for Noisy Label Learning2 May 2024
- 2024Edge Detectors Can Make Deep Convolutional Neural Networks More Robust26 Feb 2024
- 2024Marginal Debiased Network for Fair Visual Recognition4 Jan 2024
- 2023Certified Robustness via Dynamic Margin Maximization and Improved Lipschitz Regularization29 Sep 2023
- 2023Certified Robust Models with Slack Control and Large Lipschitz Constants12 Sep 2023
- 2023Dendritic Integration Based Quadratic Neural Networks Outperform Traditional Aritificial Ones25 May 2023