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The estimation of average treatment effects (ATEs), defined as the difference in expected outcomes between treatment and control groups, is a central topic in causal inference. This study develops semiparametric efficient estimators for ATE…

Machine Learning · Computer Science 2025-05-29 Masahiro Kato , Fumiaki Kozai , Ryo Inokuchi

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 is widely used in many applications, where a binary classifier is trained on the datasets consisting of only positive and unlabeled samples. In this paper, we improve PU learning over state-of-the-art from…

Machine Learning · Computer Science 2020-04-22 Liwei Jiang , Dan Li , Qisheng Wang , Shuai Wang , Songtao Wang

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

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

Positive-unlabeled (PU) learning addresses binary classification when only a set of labeled positives is available alongside a pool of unlabeled samples drawn from a mixture of positives and negatives. Existing PU methods typically require…

Machine Learning · Statistics 2026-05-08 Siyan Liu , Yi Chang , Manli Cheng , Qinglong Tian , Pengfei Li

Positive-Unlabeled (PU) learning tries to learn binary classifiers from a few labeled positive examples with many unlabeled ones. Compared with ordinary semi-supervised learning, this task is much more challenging due to the absence of any…

Machine Learning · Computer Science 2022-12-07 Yunrui Zhao , Qianqian Xu , Yangbangyan Jiang , Peisong Wen , Qingming Huang

Unmeasured confounding is a threat to causal inference in observational studies. In recent years, use of negative controls to mitigate unmeasured confounding has gained increasing recognition and popularity. Negative controls have a…

Methodology · Statistics 2019-09-05 Xu Shi , Wang Miao , Jennifer C. Nelson , Eric J. Tchetgen Tchetgen

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

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 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

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

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

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

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 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

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

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

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 (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
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