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Self-supervised pretraining on unlabeled data followed by supervised fine-tuning on labeled data is a popular paradigm for learning from limited labeled examples. We extend this paradigm to the classical positive unlabeled (PU) setting,…

Machine Learning · Computer Science 2024-04-01 Anish Acharya , Sujay Sanghavi , Li Jing , Bhargav Bhushanam , Dhruv Choudhary , Michael Rabbat , Inderjit Dhillon

Positive-unlabeled (PU) learning trains a binary classifier using only positive and unlabeled data. A common simplifying assumption is that the positive data is representative of the target positive class. This assumption rarely holds in…

Machine Learning · Computer Science 2020-11-10 Zayd Hammoudeh , Daniel Lowd

Positive-Unlabeled (PU) learning aims to learn a model with rare positive samples and abundant unlabeled samples. Compared with classical binary classification, the task of PU learning is much more challenging due to the existence of many…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Chengming Xu , Chen Liu , Siqian Yang , Yabiao Wang , Shijie Zhang , Lijie Jia , Yanwei Fu

Learning from positive and unlabeled data is known as positive-unlabeled (PU) learning in literature and has attracted much attention in recent years. One common approach in PU learning is to sample a set of pseudo-negatives from the…

Machine Learning · Computer Science 2023-08-02 Zhangchi Zhu , Lu Wang , Pu Zhao , Chao Du , Wei Zhang , Hang Dong , Bo Qiao , Qingwei Lin , Saravan Rajmohan , Dongmei Zhang

Positive-unlabeled (PU) learning is a weakly supervised binary classification problem, in which the goal is to learn a binary classifier from only positive and unlabeled data, without access to negative data. In recent years, many PU…

Machine Learning · Computer Science 2026-02-24 Wei Wang , Dong-Dong Wu , Ming Li , Jingxiong Zhang , Gang Niu , Masashi Sugiyama

PU (Positive Unlabeled) learning is a variant of supervised classification learning in which the only labels revealed to the learner are of positively labeled instances. PU learning arises in many real-world applications. Most existing work…

Machine Learning · Computer Science 2025-07-11 Farnam Mansouri , Shai Ben-David

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

Positive unlabeled (PU) learning is useful in various practical situations, where there is a need to learn a classifier for a class of interest from an unlabeled data set, which may contain anomalies as well as samples from unknown classes.…

Machine Learning · Computer Science 2018-08-17 Emanuele Sansone , Francesco G. B. De Natale , Zhi-Hua Zhou

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

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

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 is an analog to supervised binary classification for the case when only the positive sample is clean, while the negative sample is contaminated with latent instances of positive class and hence can be…

Machine Learning · Computer Science 2020-06-09 Dmitry Ivanov

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

PU learning refers to the classification problem in which only part of positive samples are labeled. Existing PU learning methods treat unlabeled samples equally. However, in many real tasks, from common sense or domain knowledge, some…

Machine Learning · Computer Science 2024-05-06 Puning Zhao , Jintao Deng , Xu Cheng

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

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

We propose a meta-learning method for positive and unlabeled (PU) classification, which improves the performance of binary classifiers obtained from only PU data in unseen target tasks. PU learning is an important problem since PU data…

Machine Learning · Computer Science 2024-06-07 Atsutoshi Kumagai , Tomoharu Iwata , Yasuhiro Fujiwara

Positive Unlabeled (PU) learning aims to learn a binary classifier from only positive and unlabeled data, which is utilized in many real-world scenarios. However, existing PU learning algorithms cannot deal with the real-world challenge in…

Machine Learning · Computer Science 2022-07-28 Zhongnian Li , Liutao Yang , Zhongchen Ma , Tongfeng Sun , Xinzheng Xu , Daoqiang Zhang

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

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
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