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Positive-unlabeled (PU) learning trains a binary classifier using only positive and unlabeled data. A common simplifying assumption is that the positive data is representative of the target positive class. This assumption rarely holds in…

Machine Learning · Computer Science 2020-11-10 Zayd Hammoudeh , Daniel Lowd

This study introduces a new approach to addressing positive and unlabeled (PU) data through the double exponential tilting model (DETM). Traditional methods often fall short because they only apply to selected completely at random (SCAR) PU…

Methodology · Statistics 2025-02-25 Siyan Liu , Chi-Kuang Yeh , Xin Zhang , Qinglong Tian , Pengfei Li

Learning from positive and unlabeled (PU) data is an important problem in various applications. Most of the recent approaches for PU classification assume that the class-prior (the ratio of positive samples) in the training unlabeled…

Machine Learning · Computer Science 2021-12-16 Shota Nakajima , Masashi Sugiyama

Positive-Unlabeled (PU) learning is an analog to supervised binary classification for the case when only the positive sample is clean, while the negative sample is contaminated with latent instances of positive class and hence can be…

Machine Learning · Computer Science 2020-06-09 Dmitry Ivanov

In this work, we consider the task of classifying binary positive-unlabeled (PU) data. The existing discriminative learning based PU models attempt to seek an optimal reweighting strategy for U data, so that a decent decision boundary can…

Machine Learning · Computer Science 2018-04-05 Ming Hou , Brahim Chaib-draa , Chao Li , Qibin Zhao

Positive Unlabeled (PU) learning aims to learn a binary classifier from only positive and unlabeled data, which is utilized in many real-world scenarios. However, existing PU learning algorithms cannot deal with the real-world challenge in…

Machine Learning · Computer Science 2022-07-28 Zhongnian Li , Liutao Yang , Zhongchen Ma , Tongfeng Sun , Xinzheng Xu , Daoqiang Zhang

Positive-Unlabeled (PU) learning presents unique challenges due to the lack of explicitly labeled negative samples, particularly in high-stakes domains such as fraud detection and medical diagnosis. To address data scarcity and privacy…

Machine Learning · Statistics 2025-11-17 Jialei Liu , Jun Liao , Kuangnan Fang

Positive--unlabeled (PU) learning considers two samples, a positive set P with observations from only one class and an unlabeled set U with observations from two classes. The goal is to classify observations in U. Class mixture proportion…

Methodology · Statistics 2020-01-13 Zhenfeng Lin , James P. Long

Positive Unlabeled (PU) learning is widely used in many applications, where a binary classifier is trained on the datasets consisting of only positive and unlabeled samples. In this paper, we improve PU learning over state-of-the-art from…

Machine Learning · Computer Science 2020-04-22 Liwei Jiang , Dan Li , Qisheng Wang , Shuai Wang , Songtao Wang

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…

Machine Learning · Computer Science 2022-12-07 Yunrui Zhao , Qianqian Xu , Yangbangyan Jiang , Peisong Wen , Qingming Huang

In binary classification, there are situations where negative (N) data are too diverse to be fully labeled and we often resort to positive-unlabeled (PU) learning in these scenarios. However, collecting a non-representative N set that…

Machine Learning · Computer Science 2019-07-16 Yu-Guan Hsieh , Gang Niu , Masashi Sugiyama

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

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

Learning binary classifiers from positive and unlabeled data (PUL) is vital in many real-world applications, especially when verifying negative examples is difficult. Despite the impressive empirical performance of recent PUL methods,…

Machine Learning · Computer Science 2024-10-14 Xinrui Wang , Wenhai Wan , Chuanxin Geng , Shaoyuan LI , Songcan Chen

In this paper, we address the problem of learning a binary (positive vs. negative) classifier given Positive and Unlabeled data commonly referred to as PU learning. Although rudimentary techniques like clustering, out-of-distribution…

Machine Learning · Computer Science 2023-10-09 Omar Zamzam , Haleh Akrami , Mahdi Soltanolkotabi , Richard Leahy

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

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

We consider the problem of learning a binary classifier from only positive and unlabeled observations (called PU learning). Recent studies in PU learning have shown superior performance theoretically and empirically. However, most existing…

Machine Learning · Statistics 2020-02-21 Yongchan Kwon , Wonyoung Kim , Masashi Sugiyama , Myunghee Cho Paik

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

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
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