Learning from positive and unlabeled data: a survey
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Abstract (arXiv)
Learning from positive and unlabeled data or PU learning is the setting where a learner only has access to positive examples and unlabeled data. The assumption is that the unlabeled data can contain both positive and negative examples. This setting has attracted increasing interest within the machine learning literature as this type of data naturally arises in applications such as medical diagnosis and knowledge base completion. This article provides a survey of the current state of the art in PU learning. It proposes seven key research questions that commonly arise in this field and provides a broad overview of how the field has tried to address them.
Key facts. Cited by 219 papers in the map (data through 14 Oct 2026). First posted on arXiv 12 Nov 2018.
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Citing papers per year: 2021: 23; 2022: 45; 2023: 42; 2024: 41; 2025: 36; 2026: 32.
219 papers.
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- 2021Generalized Out-of-Distribution Detection: A Surveycited by 802
- 2021A Survey on Deep Semi-supervised Learningcited by 251
- 2021Multi-Label Learning from Single Positive Labelscited by 81
- 2021JoinABLe: Learning Bottom-up Assembly of Parametric CAD Jointscited by 78
- 2021Recovering the Unbiased Scene Graphs from the Biased Onescited by 71
- 2021Explainable Deep Few-shot Anomaly Detection with Deviation Networkscited by 69
- 2023Multiscale Positive-Unlabeled Detection of AI-Generated Textscited by 61
- 2021Mixture Proportion Estimation and PU Learning: A Modern Approachcited by 52
- 2022Dist-PU: Positive-Unlabeled Learning from a Label Distribution Perspectivecited by 38
- 2022Domain Adaptation under Open Set Label Shiftcited by 32
- 2023RLSbench: Domain Adaptation Under Relaxed Label Shiftcited by 30
- 2023Learning Off-Road Terrain Traversability with Self-Supervisions Onlycited by 27
38 more
- 2024Large Language Models for Anomaly and Out-of-Distribution Detection: A Surveycited by 27
- 2021Multi-label Classification with Partial Annotations using Class-aware Selective Losscited by 25
- 2022OpenTAL: Towards Open Set Temporal Action Localizationcited by 23
- 2022Distantly Supervised Named Entity Recognition via Confidence-Based Multi-Class Positive and Unlabeled Learningcited by 21
- 2022Anatomy-Guided Weakly-Supervised Abnormality Localization in Chest X-rayscited by 21
- 2022ScaTE: A Scalable Framework for Self-Supervised Traversability Estimation in Unstructured Environmentscited by 21
- 2022Spatial Consistency Loss for Training Multi-Label Classifiers from Single-Label Annotationscited by 17
- 2022A Unified Framework for Rank-based Evaluation Metrics for Link Prediction in Knowledge Graphscited by 15
- 2022On Missing Labels, Long-tails and Propensities in Extreme Multi-label Classificationcited by 15
- 2022Adaptive novelty detection with false discovery rate guaranteecited by 15
- 2024A Short Survey on Importance Weighting for Machine Learningcited by 15
- 2021Offline Inverse Reinforcement Learningcited by 14
- 2022Positive-Unlabeled Learning with Adversarial Data Augmentation for Knowledge Graph Completioncited by 13
- 2022Domain Adaptation under Missingness Shiftcited by 13
- 2023SemiGNN-PPI: Self-Ensembling Multi-Graph Neural Network for Efficient and Generalizable Protein-Protein Interaction Predictioncited by 13
- 2024Decoupling the Class Label and the Target Concept in Machine Unlearningcited by 12
- 2023Weakly Supervised AUC Optimization: A Unified Partial AUC Approachcited by 11
- 2023Online Label Shift: Optimal Dynamic Regret meets Practical Algorithmscited by 11
- 2021Sparse Object-level Supervision for Instance Segmentation with Pixel Embeddingscited by 10
- 2022Fairness-aware Model-agnostic Positive and Unlabeled Learningcited by 10
- 2023Beyond Myopia: Learning from Positive and Unlabeled Data through Holistic Predictive Trendscited by 10
- 2024On the selection and effectiveness of pseudo-absences for species distribution modeling with deep learningcited by 10
- 2024A Comprehensive Survey on Inverse Constrained Reinforcement Learning: Definitions, Progress and Challengescited by 10
- 2022Unsupervised Learning under Latent Label Shiftcited by 9
- 2022Personalized Reward Learning with Interaction-Grounded Learning (IGL)cited by 9
- 2022SPADE: Semi-supervised Anomaly Detection under Distribution Mismatchcited by 9
- 2023Mixture Proportion Estimation Beyond Irreducibilitycited by 9
- 2023A Unified Approach to Count-Based Weakly-Supervised Learningcited by 9
- 2021Quantifying disparities in intimate partner violence: a machine learning method to correct for underreportingcited by 8
- 2022Positive Unlabeled Contrastive Learningcited by 8
- 2022Positive-Unlabeled Learning using Random Forests via Recursive Greedy Risk Minimizationcited by 8
- 2023Improving Behavioural Cloning with Positive Unlabeled Learningcited by 8
- 2023When Less is Enough: Positive and Unlabeled Learning Model for Vulnerability Detectioncited by 8
- 2022Disparate Censorship & Undertesting: A Source of Label Bias in Clinical Machine Learningcited by 7
- 2023Positive Label Is All You Need for Multi-Label Classificationcited by 7
- 2024DALLMi: Domain Adaption for LLM-based Multi-label Classifiercited by 7
- 2022Open challenges for Machine Learning based Early Decision-Making researchcited by 6
- 2022Corpus-Guided Contrast Sets for Morphosyntactic Feature Detection in Low-Resource English Varietiescited by 6
50 most cited of 219 All 219 (JSON)
- 2026From Human Corrections to Learned Segmentations: A Critical Mathematical Review of Information, Learning, and Human Effort14 Oct 2026
- 2026GeoCFM: Positive-Only Conditional Flow Matching for Mineral Occurrence Sampling28 Sep 2026
- 2026Partial AUC Maximization from Positive-unlabeled Data25 Sep 2026
- 2026Geospatial embeddings detect old-growth forests but buffered spatial validation narrows their advantage over Sentinel features23 Sep 2026
- 2026PU classification under Non-SCAR: clustering-assisted logistic model with oversampling enhancement13 Sep 2026
- 2026Importance Weighting for Unlabeled-unlabeled Learning under Distribution Shift10 Sep 2026
- 2026AUC Maximization from Biased Positive-unlabeled Data with Confidence10 Sep 2026
- 2026Coarse composition suffices: tabular in-context learning for multi-activity antimicrobial peptide profiling31 Aug 2026
- 2026Positive-Unlabeled Preference Optimization For Chest X-ray Report Generation5 Aug 2026
- 2026HarMoE: Multi-Source Chest Radiograph Pretraining with Dataset-Disentangled Experts3 Aug 2026
- 2026FunnelAL: Retrieve-then-Rank Active Learning for Single-Class Discovery28 Jul 2026
- 2026PUe: Biased Positive-Unlabeled Learning Enhancement by Causal Inference15 Jul 2026
38 more
- 2026Heckman-Corrected Epistemic Uncertainty: Selection on Unobservables Defeats Importance Weighting7 Jul 2026
- 2026AURA: Adaptive Uncertainty-aware Refinement for LLM-as-a-Judge Auditing18 Jun 2026
- 2026Quantifying and Auditing LLM Evaluation via Positive--Unlabeled Learning17 Jun 2026
- 2026From Local Geometry to Global Pseudo Labeling for Robust Positive Unlabeled Learning under Covariate Shift29 May 2026
- 2026Not All Inputs Are Valid: Towards Open-Set Video Moment Retrieval Using Language28 May 2026
- 2026SAGE: Scalable Automatic Gating Ensemble for Confident Negative Harvesting in Fraud Detection19 May 2026
- 2026Focused PU learning from imbalanced data14 May 2026
- 2026Personalizing LLMs with Binary Feedback: A Preference-Corrected Optimization Framework11 May 2026
- 2026Better Protein Function Prediction by Modeling Survivorship Bias7 May 2026
- 2026Contrastive Identification and Generation in the Limit7 May 2026
- 2026A proposal for PU classification under Non-SCAR using clustering and logistic model18 Apr 2026
- 2026AbLWR:A Context-Aware Listwise Ranking Framework for Antibody-Antigen Binding Affinity Prediction via Positive-Unlabeled Learning13 Apr 2026
- 2026A Systematic Framework for Tabular Data Disentanglement9 Apr 2026
- 2026Mixture Proportion Estimation and Weakly-supervised Kernel Test for Conditional Independence8 Apr 2026
- 2026Ca2+ transient detection and segmentation with the Astronomically motivated algorithm for Background Estimation And Transient Segmentation (Astro-BEATS)19 Mar 2026
- 2026Feature-Weighted Maximum Representative Subsampling1 Mar 2026
- 2026FastBUS: A Fast Bayesian Framework for Unified Weakly-Supervised Learning28 Feb 2026
- 2026What Makes a Good Doctor Response? A Study on Text-Based Telemedicine19 Feb 2026
- 2026Active learning from positive and unlabeled examples2 Feb 2026
- 2026SyNeT: Synthetic Negatives for Traversability Learning31 Jan 2026
- 2025Angular Regularization for Positive-Unlabeled Learning on the Hypersphere7 Dec 2025
- 2025Learning Robust Representations for Malicious Content Detection via Contrastive Sampling and Uncertainty Estimation1 Dec 2025
- 2025Open-Set Domain Adaptation Under Background Distribution Shift: Challenges and A Provably Efficient Solution1 Dec 2025
- 2025A Unified and Stable Risk Minimization Framework for Weakly Supervised Learning with Theoretical Guarantees28 Nov 2025
- 2025Robust gene prioritization for Dietary Restriction via Fast-mRMR Feature Selection techniques26 Nov 2025
- 2025Generalization Bounds for Semi-supervised Matrix Completion with Distributional Side Information17 Nov 2025
- 2025Oxytrees: Model Trees for Bipartite Learning16 Nov 2025
- 2025Cost-Sensitive Unbiased Risk Estimation for Multi-Class Positive-Unlabeled Learning29 Oct 2025
- 2025Learning from Interval Targets23 Oct 2025
- 2025Synthesizability Prediction of Crystalline Structures with Structure-Aware Feature Learning and Uncertainty Quantification22 Oct 2025
- 2025Learning from N-Tuple Data with M Positive Instances: Unbiased Risk Estimation and Theoretical Guarantees21 Oct 2025
- 2025Needles in the Landscape: Semi-Supervised Pseudolabeling for Archaeological Site Discovery under Label Scarcity19 Oct 2025
- 2025Adaptive Gradient Calibration for Single-Positive Multi-Label Learning in Remote Sensing Image Scene Classification9 Oct 2025
- 2025PUL-Inter-slice Defender: An Anomaly Detection Solution for Distributed Slice Mobility Attacks2 Oct 2025
- 2025Accessible, Realistic, and Fair Evaluation of Positive-Unlabeled Learning Algorithms29 Sep 2025
- 2025Learning from Uncertain Similarity and Unlabeled Data15 Sep 2025
- 2025Heterogeneous co-occurrence embedding for visual information exploration25 Aug 2025
- 2025Positive-Unlabeled Learning for Control Group Construction in Observational Causal Inference19 Jul 2025
50 newest of 219 All 219 (JSON)
- 2021Offline Inverse Reinforcement Learningcited by 14
- 2023Improving Behavioural Cloning with Positive Unlabeled Learningcited by 8
- 2023Skill Disentanglement for Imitation Learning from Suboptimal Demonstrationscited by 5
- 2024Offline Reinforcement Learning with Domain-Unlabeled Datacited by 3
- 2024Dataset Clustering for Improved Offline Policy Learningcited by 1
- 2024Skill-Enhanced Reinforcement Learning Acceleration from Heterogeneous Demonstrationscited by 1
- 2024Skill-Enhanced Reinforcement Learning Acceleration from Heterogeneous Demonstrations9 Dec 2024
- 2024Offline Reinforcement Learning with Domain-Unlabeled Data11 Apr 2024
- 2024Dataset Clustering for Improved Offline Policy Learning14 Feb 2024
- 2023Skill Disentanglement for Imitation Learning from Suboptimal Demonstrations13 Jun 2023
- 2023Improving Behavioural Cloning with Positive Unlabeled Learning27 Jan 2023
- 2021Offline Inverse Reinforcement Learning9 Jun 2021
- 2021Generalized Out-of-Distribution Detection: A Surveycited by 802
- 2021A Survey on Deep Semi-supervised Learningcited by 251
- 2021Multi-Label Learning from Single Positive Labelscited by 81
- 2021JoinABLe: Learning Bottom-up Assembly of Parametric CAD Jointscited by 78
- 2021Recovering the Unbiased Scene Graphs from the Biased Onescited by 71
- 2021Explainable Deep Few-shot Anomaly Detection with Deviation Networkscited by 69
- 2023Multiscale Positive-Unlabeled Detection of AI-Generated Textscited by 61
- 2021Mixture Proportion Estimation and PU Learning: A Modern Approachcited by 52
- 2022Dist-PU: Positive-Unlabeled Learning from a Label Distribution Perspectivecited by 38
- 2022Domain Adaptation under Open Set Label Shiftcited by 32
- 2023RLSbench: Domain Adaptation Under Relaxed Label Shiftcited by 30
- 2023Learning Off-Road Terrain Traversability with Self-Supervisions Onlycited by 27
12 most cited of 206 All 206 (JSON)
- 2026From Human Corrections to Learned Segmentations: A Critical Mathematical Review of Information, Learning, and Human Effort14 Oct 2026
- 2026Partial AUC Maximization from Positive-unlabeled Data25 Sep 2026
- 2026Geospatial embeddings detect old-growth forests but buffered spatial validation narrows their advantage over Sentinel features23 Sep 2026
- 2026PU classification under Non-SCAR: clustering-assisted logistic model with oversampling enhancement13 Sep 2026
- 2026Importance Weighting for Unlabeled-unlabeled Learning under Distribution Shift10 Sep 2026
- 2026AUC Maximization from Biased Positive-unlabeled Data with Confidence10 Sep 2026
- 2026Coarse composition suffices: tabular in-context learning for multi-activity antimicrobial peptide profiling31 Aug 2026
- 2026FunnelAL: Retrieve-then-Rank Active Learning for Single-Class Discovery28 Jul 2026
- 2026PUe: Biased Positive-Unlabeled Learning Enhancement by Causal Inference15 Jul 2026
- 2026Heckman-Corrected Epistemic Uncertainty: Selection on Unobservables Defeats Importance Weighting7 Jul 2026
- 2026AURA: Adaptive Uncertainty-aware Refinement for LLM-as-a-Judge Auditing18 Jun 2026
- 2026Quantifying and Auditing LLM Evaluation via Positive--Unlabeled Learning17 Jun 2026
12 newest of 206 All 206 (JSON)