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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…

Machine Learning · Computer Science 2020-05-19 Jessa Bekker , Jesse Davis

In causal inference, whether through randomized controlled trials or observational studies, access to both treated and control units is essential for estimating the effect of a treatment on an outcome of interest. When treatment assignment…

Pretext Invariant Representation Learning (PIRL) followed by Supervised Fine-Tuning (SFT) has become a standard paradigm for learning with limited labels. We extend this approach to the Positive Unlabeled (PU) setting, where only a small…

Machine Learning · Computer Science 2025-04-11 Anish Acharya , Li Jing , Bhargav Bhushanam , Dhruv Choudhary , Michael Rabbat , Sujay Sanghavi , Inderjit S Dhillon

Maximizing the area under the receiver operating characteristic curve (AUC) is a standard approach to imbalanced classification. So far, various supervised AUC optimization methods have been developed and they are also extended to…

Machine Learning · Statistics 2022-04-12 Tomoya Sakai , Gang Niu , Masashi Sugiyama

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

Positive and Unlabeled (PU) learning, a binary classification model trained with only positive and unlabeled data, generally suffers from overfitted risk estimation due to inconsistent data distributions. To address this, we introduce a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Chengjie Wang , Chengming Xu , Zhenye Gan , Jianlong Hu , Wenbing Zhu , Lizhuag Ma

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

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

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

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

Learning from positive and unlabeled (PU) data is a setting where the learner only has access to positive and unlabeled samples while having no information on negative examples. Such PU setting is of great importance in various tasks such…

Machine Learning · Computer Science 2022-09-07 Emilio Dorigatti , Jonas Schweisthal , Bernd Bischl , Mina Rezaei

Learning from positive and unlabeled data (PU learning) is actively researched machine learning task. The goal is to train a binary classification model based on a training dataset containing part of positives which are labeled, and…

Machine Learning · Statistics 2023-12-29 Wojciech Rejchel , Paweł Teisseyre , Jan Mielniczuk

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

Positive and Unlabeled (PU) learning is a type of semi-supervised binary classification where the machine learning algorithm differentiates between a set of positive instances (labeled) and a set of both positive and negative instances…

Machine Learning · Computer Science 2024-05-07 Praveen Kumar , Christophe G. Lambert

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

Motivated by applications in protein function prediction, we consider a challenging supervised classification setting in which positive labels are scarce and there are no explicit negative labels. The learning algorithm must thus select…

Machine Learning · Computer Science 2019-01-28 Marco Frasca , Nicolò Cesa-Bianchi

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

As one of the most effective self-supervised representation learning methods, contrastive learning (CL) relies on multiple negative pairs to contrast against each positive pair. In the standard practice of contrastive learning, data…

Machine Learning · Computer Science 2024-01-18 Lu Wang , Chao Du , Pu Zhao , Chuan Luo , Zhangchi Zhu , Bo Qiao , Wei Zhang , Qingwei Lin , Saravan Rajmohan , Dongmei Zhang , Qi Zhang

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

Planning for diverse real-world robotic 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…

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