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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

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

Automated code vulnerability detection has gained increasing attention in recent years. The deep learning (DL)-based methods, which implicitly learn vulnerable code patterns, have proven effective in vulnerability detection. The performance…

Software Engineering · Computer Science 2023-08-22 Xin-Cheng Wen , Xinchen Wang , Cuiyun Gao , Shaohua Wang , Yang Liu , Zhaoquan Gu

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

We address learning from positive and unlabeled (PU) data, a common setting in which only some positives are labeled and the rest are mixed with negatives. Classical exponential tilting models guarantee identifiability by assuming a linear…

Methodology · Statistics 2025-08-19 Peijun Sang , Yifan Sun , Qinglong Tian , Donglin Zeng , Pengfei Li

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

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

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

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

In many scenarios of binary classification, only positive instances are provided in the training data, leaving the rest of the data unlabeled. This setup, known as positive-unlabeled (PU) learning, is addressed here with a network…

Machine Learning · Computer Science 2025-11-04 Dorit Hochbaum , Torpong Nitayanont

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

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

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

Document set expansion aims to identify relevant documents from a large collection based on a small set of documents that are on a fine-grained topic. Previous work shows that PU learning is a promising method for this task. However, some…

Machine Learning · Computer Science 2024-01-23 Haiyang Zhang , Qiuyi Chen , Yuanjie Zou , Yushan Pan , Jia Wang , Mark Stevenson

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 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

The goal of positive-unlabeled (PU) learning is to train a binary classifier on the basis of training data containing positive and unlabeled instances, where unlabeled observations can belong either to the positive class or to the negative…

Machine Learning · Statistics 2024-04-02 Paweł Teisseyre , Konrad Furmańczyk , Jan Mielniczuk

Positive-unlabeled learning (PU learning) is known as a special case of semi-supervised binary classification where only a fraction of positive examples are labeled. The challenge is then to find the correct classifier despite this lack of…

Statistics Theory · Mathematics 2022-01-19 Olivier Coudray , Christine Keribin , Pascal Massart , Patrick Pamphile

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

While Positive-Unlabeled (PU) learning is vital in many real-world scenarios, its application to graph data still remains under-explored. We unveil that a critical challenge for PU learning on graph lies on the edge heterophily, which…

Machine Learning · Computer Science 2024-06-04 Yuhao Wu , Jiangchao Yao , Bo Han , Lina Yao , Tongliang Liu