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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

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

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

Positive-unlabeled learning (PUL) aims at learning a binary classifier from only positive and unlabeled training data. Even though real-world applications often involve imbalanced datasets where the majority of examples belong to one class,…

Machine Learning · Statistics 2024-03-12 Emilio Dorigatti , Jann Goschenhofer , Benjamin Schubert , Mina Rezaei , Bernd Bischl

We consider the problem of learning a binary classifier from a training set of positive and unlabeled examples, both in the inductive and in the transductive setting. This problem, often referred to as \emph{PU learning}, differs from the…

Machine Learning · Statistics 2010-10-06 Fantine Mordelet , Jean-Philippe Vert

Positive-unlabeled (PU) learning aims to train a classifier using the data containing only labeled-positive instances and unlabeled instances. However, existing PU learning methods are generally hard to achieve satisfactory performance on…

Machine Learning · Statistics 2024-06-03 Xiaoke Wang , Xiaochen Yang , Rui Zhu , Jing-Hao Xue

The problem of learning from positive and unlabeled data (A.K.A. PU learning) has been studied in a binary (i.e., positive versus negative) classification setting, where the input data consist of (1) observations from the positive class and…

Computer Vision and Pattern Recognition · Computer Science 2022-08-29 Omar Zamzam , Haleh Akrami , Richard Leahy

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

Supervised learning needs a huge amount of labeled data, which can be a big bottleneck under the situation where there is a privacy concern or labeling cost is high. To overcome this problem, we propose a new weakly-supervised learning…

Machine Learning · Computer Science 2018-08-16 Han Bao , Gang Niu , 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

This paper defines a positive and unlabeled classification problem for standard GANs, which then leads to a novel technique to stabilize the training of the discriminator in GANs. Traditionally, real data are taken as positive while…

Machine Learning · Computer Science 2020-02-26 Tianyu Guo , Chang Xu , Jiajun Huang , Yunhe Wang , Boxin Shi , Chao Xu , Dacheng Tao

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

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

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

Given only positive examples and unlabeled examples (from both positive and negative classes), we might hope nevertheless to estimate an accurate positive-versus-negative classifier. Formally, this task is broken down into two subtasks: (i)…

Machine Learning · Computer Science 2021-11-02 Saurabh Garg , Yifan Wu , Alex Smola , Sivaraman Balakrishnan , Zachary C. Lipton

Most positive and unlabeled data is subject to selection biases. The labeled examples can, for example, be selected from the positive set because they are easier to obtain or more obviously positive. This paper investigates how learning can…

Machine Learning · Computer Science 2019-07-01 Jessa Bekker , Pieter Robberechts , Jesse Davis

Can we learn a binary classifier from only positive data, without any negative data or unlabeled data? We show that if one can equip positive data with confidence (positive-confidence), one can successfully learn a binary classifier, which…

Machine Learning · Statistics 2018-11-29 Takashi Ishida , Gang Niu , Masashi Sugiyama

Bottlenecks of binary classification from positive and unlabeled data (PU classification) are the requirements that given unlabeled patterns are drawn from the test marginal distribution, and the penalty of the false positive error is…

Machine Learning · Statistics 2020-11-10 Nontawat Charoenphakdee , Masashi Sugiyama

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

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