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How to sample high quality negative instances from unlabeled data, i.e., negative sampling, is important for training implicit collaborative filtering and contrastive learning models. Although previous studies have proposed some approaches…

Information Retrieval · Computer Science 2022-07-12 Bin Liu , Bang Wang

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

Instance- and Label-dependent label Noise (ILN) widely exists in real-world datasets but has been rarely studied. In this paper, we focus on Bounded Instance- and Label-dependent label Noise (BILN), a particular case of ILN where the label…

Machine Learning · Statistics 2020-12-14 Jiacheng Cheng , Tongliang Liu , Kotagiri Ramamohanarao , Dacheng Tao

Conditional probabilities are a core concept in machine learning. For example, optimal prediction of a label $Y$ given an input $X$ corresponds to maximizing the conditional probability of $Y$ given $X$. A common approach to inference tasks…

Machine Learning · Computer Science 2017-08-09 Yoav Wald , Amir Globerson

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

Positive--unlabeled (PU) learning considers two samples, a positive set P with observations from only one class and an unlabeled set U with observations from two classes. The goal is to classify observations in U. Class mixture proportion…

Methodology · Statistics 2020-01-13 Zhenfeng Lin , James P. Long

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--Unlabeled (PU) learning considers settings in which only positive and unlabeled data are available, while negatives are missing or left unlabeled. This situation is common in real applications where annotating reliable negatives…

Machine Learning · Computer Science 2025-10-30 Miao Zhang , Junpeng Li , Changchun Hua , Yana Yang

Traditional semi-supervised learning uses only labeled instances to train a classifier and then this classifier is utilized to classify unlabeled instances, while sometimes there are only positive instances which are elements of the target…

Machine Learning · Computer Science 2019-03-28 TingTing Li , WeiYa Fan , YunSong Luo

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

We consider the following basic learning task: given independent draws from an unknown distribution over a discrete support, output an approximation of the distribution that is as accurate as possible in $\ell_1$ distance (i.e. total…

Machine Learning · Computer Science 2015-11-12 Gregory Valiant , Paul Valiant

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 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

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

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

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 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

Given only positive (P) and unlabeled (U) data, PU learning can train a binary classifier without any negative data. It has two building blocks: PU class-prior estimation (CPE) and PU classification; the latter has been well studied while…

Machine Learning · Computer Science 2022-06-06 Yu Yao , Tongliang Liu , Bo Han , Mingming Gong , Gang Niu , Masashi Sugiyama , Dacheng Tao

Learning with label dependent label noise has been extensively explored in both theory and practice; however, dealing with instance (i.e., feature) and label dependent label noise continues to be a challenging task. The difficulty arises…

Machine Learning · Statistics 2023-06-07 Hyungki Im , Paul Grigas

Pseudo-labels are confident predictions made on unlabeled target data by a classifier trained on labeled source data. They are widely used for adapting a model to unlabeled data, e.g., in a semi-supervised learning setting. Our key insight…

Machine Learning · Computer Science 2022-04-22 Xudong Wang , Zhirong Wu , Long Lian , Stella X. Yu