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Learning binary classifiers only from positive and unlabeled (PU) data is an important and challenging task in many real-world applications, including web text classification, disease gene identification and fraud detection, where negative…

Machine Learning · Computer Science 2020-12-01 Hui Chen , Fangqing Liu , Yin Wang , Liyue Zhao , Hao Wu

In PU learning, a binary classifier is trained from positive (P) and unlabeled (U) data without negative (N) data. Although N data is missing, it sometimes outperforms PN learning (i.e., ordinary supervised learning). Hitherto, neither…

Machine Learning · Computer Science 2016-10-31 Gang Niu , Marthinus Christoffel du Plessis , Tomoya Sakai , Yao Ma , Masashi Sugiyama

When dealing with binary classification of data with only one labeled class data scientists employ two main approaches, namely One-Class (OC) classification and Positive Unlabeled (PU) learning. The former only learns from labeled positive…

Machine Learning · Computer Science 2022-03-15 Farid Bagirov , Dmitry Ivanov , Aleksei Shpilman

Self-supervised pretraining on unlabeled data followed by supervised fine-tuning on labeled data is a popular paradigm for learning from limited labeled examples. We extend this paradigm to the classical positive unlabeled (PU) setting,…

Machine Learning · Computer Science 2024-04-01 Anish Acharya , Sujay Sanghavi , Li Jing , Bhargav Bhushanam , Dhruv Choudhary , Michael Rabbat , Inderjit Dhillon

We study the problem of learning from positive and unlabeled (PU) data in the federated setting, where each client only labels a little part of their dataset due to the limitation of resources and time. Different from the settings in…

Machine Learning · Computer Science 2022-08-16 Xinyang Lin , Hanting Chen , Yixing Xu , Chao Xu , Xiaolin Gui , Yiping Deng , Yunhe Wang

This paper proposes a novel pseudo-labeling method for medical image segmentation that can perform learning on ``individual images'' to select effective pseudo-labels. We introduce Positive and Unlabeled Learning (PU learning), which uses…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Takehiro Yamane , Itaru Tsuge , Susumu Saito , Ryoma Bise

AdaBoost is a classic boosting algorithm for combining multiple inaccurate classifiers produced by a weak learner, to produce a strong learner with arbitrarily high accuracy when given enough training data. Determining the optimal number of…

Machine Learning · Computer Science 2025-08-12 Mikael Møller Høgsgaard , Kasper Green Larsen , Martin Ritzert

Learning from positive and unlabeled data (PU learning) is a weakly supervised variant of binary classification in which the learner receives labels only for (some) positively labeled instances, while all other examples remain unlabeled.…

Machine Learning · Computer Science 2026-02-03 Farnam Mansouri , Sandra Zilles , Shai Ben-David

The scarcity of class-labeled data is a ubiquitous bottleneck in many machine learning problems. While abundant unlabeled data typically exist and provide a potential solution, it is highly challenging to exploit them. In this paper, we…

Machine Learning · Computer Science 2025-07-25 Bing Yu , Ke Sun , He Wang , Zhouchen Lin , Zhanxing Zhu

With surge of available but unlabeled data, Positive Unlabeled (PU) learning is becoming a thriving challenge. This work deals with this demanding task for which recent GAN-based PU approaches have demonstrated promising results. Generative…

Computer Vision and Pattern Recognition · Computer Science 2019-10-07 Florent Chiaroni , Ghazaleh Khodabandelou , Mohamed-Cherif Rahal , Nicolas Hueber , Frederic Dufaux

From only positive (P) and unlabeled (U) data, a binary classifier could be trained with PU learning, in which the state of the art is unbiased PU learning. However, if its model is very flexible, empirical risks on training data will go…

Machine Learning · Computer Science 2017-11-07 Ryuichi Kiryo , Gang Niu , Marthinus C. du Plessis , Masashi Sugiyama

Learning reward functions from data is a promising path towards achieving scalable Reinforcement Learning (RL) for robotics. However, a major challenge in training agents from learned reward models is that the agent can learn to exploit…

Machine Learning · Computer Science 2019-11-04 Danfei Xu , Misha Denil

In the early history of positive-unlabeled (PU) learning, the sample selection approach, which heuristically selects negative (N) data from U data, was explored extensively. However, this approach was later dominated by the importance…

Machine Learning · Computer Science 2019-01-30 Miao Xu , Bingcong Li , Gang Niu , Bo Han , Masashi Sugiyama

Positive-Unlabeled (PU) learning aims to train a binary classifier (positive vs. negative) where only limited positive data and abundant unlabeled data are available. While widely applicable, state-of-the-art PU learning methods…

Machine Learning · Computer Science 2026-02-11 Hengwei Zhao , Zhengzhong Tu , Zhuo Zheng , Wei Wang , Junjue Wang , Rusty Feagin , Wenzhe Jiao

Existing algorithms aiming to learn a binary classifier from positive (P) and unlabeled (U) data generally require estimating the class prior or label noises ahead of building a classification model. However, the estimation and classifier…

Machine Learning · Computer Science 2020-09-01 Tianyu Li , Chien-Chih Wang , Yukun Ma , Patricia Ortal , Qifang Zhao , Bjorn Stenger , Yu Hirate

Planning for a wide range of real-world tasks necessitates to know and write all constraints. However, instances exist where these constraints are either unknown or challenging to specify accurately. A possible solution is to infer the…

Machine Learning · Computer Science 2025-01-17 Baiyu Peng , Aude Billard

We propose a new method of learning from positive and unlabeled (PU) examples in highly imbalanced datasets. Many real-world problems, such as disease gene identification, targeted marketing, fraud detection, and recommender systems, are…

Machine Learning · Computer Science 2026-05-15 Elias Zavitsanos , Georgios Paliouras

This study proposes a novel approach for solving the PU learning problem based on an anomaly-detection strategy. Latent encodings extracted from positive-labeled data are linearly combined to acquire new samples. These new samples are used…

Machine Learning · Computer Science 2024-07-02 Vasileios Sevetlidis , George Pavlidis , Spyridon Mouroutsos , Antonios Gasteratos

People learn to discriminate between classes without explicit exposure to negative examples. On the contrary, traditional machine learning algorithms often rely on negative examples, otherwise the model would be prone to collapse and…

Machine Learning · Computer Science 2020-05-08 Chenhao Xie , Qiao Cheng , Jiaqing Liang , Lihan Chen , Yanghua Xiao

Positive-Unlabeled (PU) learning addresses classification problems where only a subset of positive examples is labeled and the remaining data is unlabeled, making explicit negative supervision unavailable. Existing PU methods often rely on…

Machine Learning · Computer Science 2026-01-26 Vasileios Sevetlidis , George Pavlidis , Antonios Gasteratos