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Confidence HNC: A Network Flow Technique for Binary Classification with Noisy Labels

arXiv 2503.02352 ↗First posted 4 Mar 2025cs.LGcited by 0

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Abstract (arXiv)

We consider here a classification method that balances two objectives: large similarity within the samples in the cluster, and large dissimilarity between the cluster and its complement. The method, referred to as HNC or SNC, requires seed nodes, or labeled samples, at least one of which is in the cluster and at least one in the complement. Other than that, the method relies only on the relationship between the samples. The contribution here is the new method in the presence of noisy labels, based on HNC, called Confidence HNC, in which we introduce confidence weights that allow the given labels of labeled samples to be violated, with a penalty that reflects the perceived correctness of each given label. If a label is violated then it is interpreted that the label was noisy. The method involves a representation of the problem as a graph problem with hyperparameters that is solved very efficiently by the network flow technique of parametric cut. We compare the performance of the new method with leading algorithms on both real and synthetic data with noisy labels and demonstrate that it delivers improved performance in terms of classification accuracy as well as noise detection capability.

Key facts. No citing papers in the map yet (data through 13 Oct 2026). Builds on 12 of its 38 references that are in the map. First posted on arXiv 4 Mar 2025.

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References · 12

  1. 2018Co-teaching: Robust Training of Deep Neural Networks with Extremely Noisy Labelscited by 1,055
  2. 2021Revisiting Deep Learning Models for Tabular Datacited by 733
  3. 2020DivideMix: Learning with Noisy Labels as Semi-supervised Learningcited by 692
  4. 2017MentorNet: Learning Data-Driven Curriculum for Very Deep Neural Networks on Corrupted Labelscited by 652
  5. 2020Early-Learning Regularization Prevents Memorization of Noisy Labelscited by 415
  6. 2019Confident Learning: Estimating Uncertainty in Dataset Labelscited by 411
  7. 2019How does Disagreement Help Generalization against Label Corruption?cited by 390
  8. 2020Identifying Mislabeled Data using the Area Under the Margin Rankingcited by 260
  9. 2019SELF: Learning to Filter Noisy Labels with Self-Ensemblingcited by 164
  10. 2019Combating Label Noise in Deep Learning Using Abstentioncited by 86
  11. 2021FINE Samples for Learning with Noisy Labelscited by 82
  12. 2017HNCcorr: A Novel Combinatorial Approach for Cell Identification in Calcium-Imaging Moviescited by 3

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