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We address the issue of binary classification from positive and unlabeled data (PU classification) with a selection bias in the positive data. During the observation process, (i) a sample is exposed to a user, (ii) the user then returns the…

Machine Learning · Computer Science 2023-03-09 Masahiro Kato , Shuting Wu , Kodai Kureishi , Shota Yasui

Positive--Unlabeled (PU) learning considers settings in which only positive and unlabeled data are available, while negatives are missing or left unlabeled. This situation is common in real applications where annotating reliable negatives…

Machine Learning · Computer Science 2025-10-30 Miao Zhang , Junpeng Li , Changchun Hua , Yana Yang

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

Feature selection is essential for efficient data mining and sometimes encounters the positive-unlabeled (PU) learning scenario, where only a few positive labels are available, while most data remains unlabeled. In certain real-world PU…

Machine Learning · Computer Science 2025-04-18 Motonobu Uchikoshi , Youhei Akimoto

The positive-unlabeled (PU) classification is a common scenario in real-world applications such as healthcare, text classification, and bioinformatics, in which we only observe a few samples labeled as "positive" together with a large…

Machine Learning · Computer Science 2018-03-20 Ke Ren , Haichuan Yang , Yu Zhao , Mingshan Xue , Hongyu Miao , Shuai Huang , Ji Liu

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

When learning from positive and unlabelled data, it is a strong assumption that the positive observations are randomly sampled from the distribution of $X$ conditional on $Y = 1$, where X stands for the feature and Y the label. Most…

Machine Learning · Computer Science 2020-03-04 Fengxiang He , Tongliang Liu , Geoffrey I Webb , Dacheng Tao

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

Positive-unlabeled (PU) learning deals with binary classification problems when only positive (P) and unlabeled (U) data are available. Many recent PU methods are based on neural networks, but little has been done to develop boosting…

Machine Learning · Computer Science 2022-12-08 Yawen Zhao , Mingzhe Zhang , Chenhao Zhang , Weitong Chen , Nan Ye , Miao Xu

Positive-unlabeled learning (PU learning) in hyperspectral remote sensing imagery (HSI) is aimed at learning a binary classifier from positive and unlabeled data, which has broad prospects in various earth vision applications. However, when…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Hengwei Zhao , Xinyu Wang , Jingtao Li , Yanfei Zhong

Many real-world applications have to tackle the Positive-Unlabeled (PU) learning problem, i.e., learning binary classifiers from a large amount of unlabeled data and a few labeled positive examples. While current state-of-the-art methods…

Machine Learning · Computer Science 2020-06-23 Xuxi Chen , Wuyang Chen , Tianlong Chen , Ye Yuan , Chen Gong , Kewei Chen , Zhangyang Wang

The need to learn from positive and unlabeled data, or PU learning, arises in many applications and has attracted increasing interest. While random forests are known to perform well on many tasks with positive and negative data, recent PU…

Machine Learning · Computer Science 2022-10-18 Jonathan Wilton , Abigail M. Y. Koay , Ryan K. L. Ko , Miao Xu , Nan Ye

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

Complementary-label learning is a weakly supervised learning problem in which each training example is associated with one or multiple complementary labels indicating the classes to which it does not belong. Existing consistent approaches…

Machine Learning · Computer Science 2024-10-14 Wei Wang , Takashi Ishida , Yu-Jie Zhang , Gang Niu , Masashi Sugiyama

We consider a problem of learning a binary classifier only from positive data and unlabeled data (PU learning) and estimating the class-prior in unlabeled data under the case-control scenario. Most of the recent methods of PU learning…

Machine Learning · Computer Science 2018-09-18 Masahiro Kato , Liyuan Xu , Gang Niu , Masashi Sugiyama

Positive unlabeled learning is a binary classification problem with positive and unlabeled data. It is common in domains where negative labels are costly or impossible to obtain, e.g., medicine and personalized advertising. Most approaches…

Machine Learning · Computer Science 2023-07-21 Bojan Žunkovič

We introduce a new observational setting for Positive Unlabeled (PU) data where the observations at prediction time are also labeled. This occurs commonly in practice -- we argue that the additional information is important for prediction,…

Machine Learning · Statistics 2024-07-16 Jan Mielniczuk , Adam Wawrzeńczyk

For many interesting tasks, such as medical diagnosis and web page classification, a learner only has access to some positively labeled examples and many unlabeled examples. Learning from this type of data requires making assumptions about…

Machine Learning · Computer Science 2018-08-28 Jessa Bekker , Jesse Davis

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

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