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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

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

Positive-Unlabeled (PU) learning addresses classification problems where only a subset of positive examples is labeled and the remaining data is unlabeled, making explicit negative supervision unavailable. Existing PU methods often rely on…

Machine Learning · Computer Science 2026-01-26 Vasileios Sevetlidis , George Pavlidis , Antonios Gasteratos

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

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

There has been increased interest in devising learning techniques that combine unlabeled data with labeled data ? i.e. semi-supervised learning. However, to the best of our knowledge, no study has been performed across various techniques…

Machine Learning · Computer Science 2011-09-12 N. V. Chawla , Grigoris Karakoulas

The need to learn from positive and unlabeled data, or PU learning, arises in many applications and has attracted increasing interest. While random forests are known to perform well on many tasks with positive and negative data, recent PU…

Machine Learning · Computer Science 2022-10-18 Jonathan Wilton , Abigail M. Y. Koay , Ryan K. L. Ko , Miao Xu , Nan Ye

Partial Label (PL) learning refers to the task of learning from the partially labeled data, where each training instance is ambiguously equipped with a set of candidate labels but only one is valid. Advances in the recent deep PL learning…

Machine Learning · Computer Science 2022-12-01 Ximing Li , Yuanzhi Jiang , Changchun Li , Yiyuan Wang , Jihong Ouyang

Multiple instance learning (MIL) is a variation of traditional supervised learning problems where data (referred to as bags) are composed of sub-elements (referred to as instances) and only bag labels are available. MIL has a variety of…

Machine Learning · Computer Science 2018-05-02 Han Bao , Tomoya Sakai , Issei Sato , Masashi Sugiyama

Semi-supervised learning, i.e. jointly learning from labeled and unlabeled samples, is an active research topic due to its key role on relaxing human supervision. In the context of image classification, recent advances to learn from…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Eric Arazo , Diego Ortego , Paul Albert , Noel E. O'Connor , Kevin McGuinness

In the early history of positive-unlabeled (PU) learning, the sample selection approach, which heuristically selects negative (N) data from U data, was explored extensively. However, this approach was later dominated by the importance…

Machine Learning · Computer Science 2019-01-30 Miao Xu , Bingcong Li , Gang Niu , Bo Han , Masashi Sugiyama

Self-learning is a classical approach for learning with both labeled and unlabeled observations which consists in giving pseudo-labels to unlabeled training instances with a confidence score over a predetermined threshold. At the same time,…

Machine Learning · Computer Science 2021-09-30 Vasilii Feofanov , Emilie Devijver , Massih-Reza Amini

The scarcity of class-labeled data is a ubiquitous bottleneck in many machine learning problems. While abundant unlabeled data typically exist and provide a potential solution, it is highly challenging to exploit them. In this paper, we…

Machine Learning · Computer Science 2025-07-25 Bing Yu , Ke Sun , He Wang , Zhouchen Lin , Zhanxing Zhu

People learn to discriminate between classes without explicit exposure to negative examples. On the contrary, traditional machine learning algorithms often rely on negative examples, otherwise the model would be prone to collapse and…

Machine Learning · Computer Science 2020-05-08 Chenhao Xie , Qiao Cheng , Jiaqing Liang , Lihan Chen , Yanghua Xiao

In this paper, we consider the matrix completion problem when the observations are one-bit measurements of some underlying matrix M, and in particular the observed samples consist only of ones and no zeros. This problem is motivated by…

Machine Learning · Computer Science 2014-11-25 Cho-Jui Hsieh , Nagarajan Natarajan , Inderjit S. Dhillon

This paper explores the relatively underexplored application of Positive Unlabeled (PU) Learning and Negative Unlabeled (NU) Learning in the cybersecurity domain. While these semi-supervised learning methods have been applied successfully…

Cryptography and Security · Computer Science 2024-12-10 Robert Dilworth , Charan Gudla

In this study, we propose a method for identifying potential customers in targeted marketing by applying learning from positive and unlabeled data (PU learning). We consider a scenario in which a company sells a product and can observe only…

Machine Learning · Computer Science 2025-06-10 Masahiro Kato , Yuki Ikeda , Kentaro Baba , Takashi Imai , Ryo Inokuchi

In the problem of learning with label proportions, which we call LLP learning, the training data is unlabeled, and only the proportions of examples receiving each label are given. The goal is to learn a hypothesis that predicts the…

Machine Learning · Computer Science 2020-04-08 Benjamin Fish , Lev Reyzin

Maximizing the area under the receiver operating characteristic curve (AUC) is a standard approach to imbalanced classification. So far, various supervised AUC optimization methods have been developed and they are also extended to…

Machine Learning · Statistics 2022-04-12 Tomoya Sakai , Gang Niu , Masashi Sugiyama

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