mlsanityData to 7 Oct 2026

Dist-PU: Positive-Unlabeled Learning from a Label Distribution Perspective

arXiv 2212.02801 ↗First posted 6 Dec 2022cs.LG cs.CVcited by 37

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Abstract (arXiv)

Positive-Unlabeled (PU) learning tries to learn binary classifiers from a few labeled positive examples with many unlabeled ones. Compared with ordinary semi-supervised learning, this task is much more challenging due to the absence of any known negative labels. While existing cost-sensitive-based methods have achieved state-of-the-art performances, they explicitly minimize the risk of classifying unlabeled data as negative samples, which might result in a negative-prediction preference of the classifier. To alleviate this issue, we resort to a label distribution perspective for PU learning in this paper. Noticing that the label distribution of unlabeled data is fixed when the class prior is known, it can be naturally used as learning supervision for the model. Motivated by this, we propose to pursue the label distribution consistency between predicted and ground-truth label distributions, which is formulated by aligning their expectations. Moreover, we further adopt the entropy minimization and Mixup regularization to avoid the trivial solution of the label distribution consistency on unlabeled data and mitigate the consequent confirmation bias. Experiments on three benchmark datasets validate the effectiveness of the proposed method.Code available at: https://github.com/Ray-rui/Dist-PU-Positive-Unlabeled-Learning-from-a-Label-Distribution-Perspective.

Key facts. Cited by 37 papers in the map (data through 7 Oct 2026). Builds on 23 of its 50 references that are in the map. First posted on arXiv 6 Dec 2022.

Builds on

23 of 50 references.

References · 23

  1. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  2. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  3. 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,491
  4. 2017mixup: Beyond Empirical Risk Minimizationcited by 5,155
  5. 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 4,993
  6. 2017Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithmscited by 4,283
  7. 2019MixMatch: A Holistic Approach to Semi-Supervised Learningcited by 1,390
  8. 2019Unsupervised Data Augmentation for Consistency Trainingcited by 1,057
  9. 2020DivideMix: Learning with Noisy Labels as Semi-supervised Learningcited by 691
  10. 2018Exploring the Limits of Weakly Supervised Pretrainingcited by 604
  11. 2017Deep Learning Scaling is Predictable, Empiricallycited by 556
  12. 2019Pseudo-Labeling and Confirmation Bias in Deep Semi-Supervised Learningcited by 507
11 more
  1. 2018Learning from positive and unlabeled data: a surveycited by 218
  2. 2017Positive-Unlabeled Learning with Non-Negative Risk Estimatorcited by 217
  3. 2016Mixture Proportion Estimation via Kernel Embedding of Distributionscited by 67
  4. 2017Learning with Confident Examples: Rank Pruning for Robust Classification with Noisy Labelscited by 52
  5. 2021Mixture Proportion Estimation and PU Learning: A Modern Approachcited by 52
  6. 2020Self-PU: Self Boosted and Calibrated Positive-Unlabeled Trainingcited by 47
  7. 2016Class-prior Estimation for Learning from Positive and Unlabeled Datacited by 46
  8. 2018Classification from Positive, Unlabeled and Biased Negative Datacited by 34
  9. 2018Positive-unlabeled convolutional neural networks for particle picking in cryo-electron micrographscited by 23
  10. 2020Learning from Positive and Unlabeled Data with Arbitrary Positive Shiftcited by 23
  11. 2013Learning Theory and Algorithms for Revenue Optimization in Second-Price Auctions with Reservecited by 16

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 12; 2024: 11; 2025: 9; 2026: 5.

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  1. 2023Feed Two Birds with One Scone: Exploiting Wild Data for Both Out-of-Distribution Generalization and Detectioncited by 57
  2. 2024How Does Unlabeled Data Provably Help Out-of-Distribution Detection?cited by 36
  3. 2024An Electrocardiogram Foundation Model Built on over 10 Million Recordings with External Evaluation across Multiple Domainscited by 27
  4. 2024Knowledge-Infused Legal Wisdom: Navigating LLM Consultation through the Lens of Diagnostics and Positive-Unlabeled Reinforcement Learningcited by 12
  5. 2023Learning with Complementary Labels Revisited: The Selected-Completely-at-Random Setting Is More Practicalcited by 10
  6. 2023Beyond Myopia: Learning from Positive and Unlabeled Data through Holistic Predictive Trendscited by 9
  7. 2024Harmfully Manipulated Images Matter in Multimodal Misinformation Detectioncited by 9
  8. 2023Class Prior-Free Positive-Unlabeled Learning with Taylor Variational Loss for Hyperspectral Remote Sensing Imagerycited by 8
  9. 2024A General Framework for Learning from Weak Supervisioncited by 7
  10. 2024Semi-Supervised Disease Classification based on Limited Medical Image Datacited by 7
  11. 2023Community-Based Hierarchical Positive-Unlabeled (PU) Model Fusion for Chronic Disease Predictioncited by 5
  12. 2024Accurate Link Prediction for Edge-Incomplete Graphs via PU Learningcited by 5
25 more
  1. 2023Dens-PU: PU Learning with Density-Based Positive Labeled Augmentationcited by 4
  2. 2023A Positive-Unlabeled Metric Learning Framework for Document-Level Relation Extraction with Incomplete Labelingcited by 4
  3. 2023Robust Positive-Unlabeled Learning via Noise Negative Sample Self-correctioncited by 4
  4. 2023Positive-Unlabeled Node Classification with Structure-aware Graph Learningcited by 4
  5. 2024PSPU: Enhanced Positive and Unlabeled Learning by Leveraging Pseudo Supervisioncited by 3
  6. 2025Noise-Resilient Point-wise Anomaly Detection in Time Series Using Weak Segment Labelscited by 3
  7. 2023Zero-Shot Scene Graph Generation via Triplet Calibration and Reductioncited by 2
  8. 2024Meta-learning for Positive-unlabeled Classificationcited by 2
  9. 2025Medix: Out-of-Distribution Detection from Unlabeled Wild Data via Robust Gradient Statisticscited by 2
  10. 2026ImplicitRM: Unbiased Reward Modeling from Implicit Preference Data for LLM alignmentcited by 2
  11. 2023Can Class-Priors Help Single-Positive Multi-Label Learning?cited by 1
  12. 2024Verifying the Selected Completely at Random Assumption in Positive-Unlabeled Learningcited by 1
  13. 2024Novel Node Category Detection Under Subpopulation Shiftcited by 1
  14. 2025Accessible, Realistic, and Fair Evaluation of Positive-Unlabeled Learning Algorithmscited by 1
  15. 2023Learning A Disentangling Representation For PU Learningcited by 0
  16. 2025Prior shift estimation for positive unlabeled data through the lens of kernel embeddingcited by 0
  17. 2025Adaptive Gradient Calibration for Single-Positive Multi-Label Learning in Remote Sensing Image Scene Classificationcited by 0
  18. 2025Needles in the Landscape: Semi-Supervised Pseudolabeling for Archaeological Site Discovery under Label Scarcitycited by 0
  19. 2025Cost-Sensitive Unbiased Risk Estimation for Multi-Class Positive-Unlabeled Learningcited by 0
  20. 2025A Unified and Stable Risk Minimization Framework for Weakly Supervised Learning with Theoretical Guaranteescited by 0
  21. 2025Angular Regularization for Positive-Unlabeled Learning on the Hyperspherecited by 0
  22. 2026FastBUS: A Fast Bayesian Framework for Unified Weakly-Supervised Learningcited by 0
  23. 2026From Local Geometry to Global Pseudo Labeling for Robust Positive Unlabeled Learning under Covariate Shiftcited by 0
  24. 2026Do ECG Foundation Models Transfer to Rare Cardiac Diseases? Evidence from Brugada Syndrome Detectioncited by 0
  25. 2026PUe: Biased Positive-Unlabeled Learning Enhancement by Causal Inferencecited by 0