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We present a novel approach to learn binary classifiers when only positive and unlabeled instances are available (PU learning). This problem is routinely cast as a supervised task with label noise in the negative set. We use an ensemble of…

Machine Learning · Statistics 2015-02-13 Marc Claesen , Frank De Smet , Johan A. K. Suykens , Bart De Moor

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

Most of the semi-supervised classification methods developed so far use unlabeled data for regularization purposes under particular distributional assumptions such as the cluster assumption. In contrast, recently developed methods of…

Machine Learning · Computer Science 2017-06-19 Tomoya Sakai , Marthinus Christoffel du Plessis , Gang Niu , 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

Classification with positive and unlabeled (PU) data frequently arises in bioinformatics, clinical data, and ecological studies, where collecting negative samples can be prohibitively expensive. While prior works on PU data focus on binary…

Methodology · Statistics 2023-04-20 Lili Zheng , Garvesh Raskutti

In this work, we explore the way to perform named entity recognition (NER) using only unlabeled data and named entity dictionaries. To this end, we formulate the task as a positive-unlabeled (PU) learning problem and accordingly propose a…

Computation and Language · Computer Science 2019-06-12 Minlong Peng , Xiaoyu Xing , Qi Zhang , Jinlan Fu , Xuanjing Huang

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

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

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

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

In binary classification, Learning from Positive and Unlabeled data (LePU) is semi-supervised learning but with labeled elements from only one class. Most of the research on LePU relies on some form of independence between the selection…

Machine Learning · Computer Science 2020-03-03 Naji Shajarisales , Peter Spirtes , Kun Zhang

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

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

A common approach in positive-unlabeled learning is to train a classification model between labeled and unlabeled data. This strategy is in fact known to give an optimal classifier under mild conditions; however, it results in biased…

Machine Learning · Statistics 2017-02-03 Shantanu Jain , Martha White , Predrag Radivojac

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 (PU) Learning is a challenge presented by binary classification problems where there is an abundance of unlabeled data along with a small number of positive data instances, which can be used to address chronic disease…

Machine Learning · Computer Science 2023-09-08 Yang Wu , Xurui Li , Xuhong Zhang , Yangyang Kang , Changlong Sun , Xiaozhong Liu

Empirical risk minimization (ERM), with proper loss function and regularization, is the common practice of supervised classification. In this paper, we study training arbitrary (from linear to deep) binary classifier from only unlabeled (U)…

Machine Learning · Statistics 2019-03-13 Nan Lu , Gang Niu , Aditya Krishna Menon , Masashi Sugiyama

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

Positive-Unlabelled (PU) learning is a growing field of machine learning that aims to learn classifiers from data consisting of labelled positive and unlabelled instances, which can be in reality positive or negative, but whose label is…

Machine Learning · Computer Science 2024-01-15 Jack D. Saunders , Alex A. Freitas

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