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To alleviate the annotation burden in supervised learning, N-tuples learning has recently emerged as a powerful weakly-supervised method. While existing N-tuples learning approaches extend pairwise learning to higher-order comparisons and…

Machine Learning · Statistics 2025-09-29 Shuying Huang , Junpeng Li , Changchun Hua , Yana Yang

Positive-unlabeled learning refers to the process of training a binary classifier using only positive and unlabeled data. Although unlabeled data can contain positive data, all unlabeled data are regarded as negative data in existing…

Machine Learning · Computer Science 2021-03-09 Daiki Tanaka , Daiki Ikami , Kiyoharu Aizawa

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

For many interesting tasks, such as medical diagnosis and web page classification, a learner only has access to some positively labeled examples and many unlabeled examples. Learning from this type of data requires making assumptions about…

Machine Learning · Computer Science 2018-08-28 Jessa Bekker , Jesse Davis

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

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 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

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

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

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

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

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 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

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

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

Recent advances in weakly supervised classification allow us to train a classifier only from positive and unlabeled (PU) data. However, existing PU classification methods typically require an accurate estimate of the class-prior…

Machine Learning · Statistics 2022-06-22 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

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 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

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