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Positive-Unlabelled (PU) learning is a growing area of machine learning that aims to learn classifiers from data consisting of labelled positive and unlabelled instances. Whilst much work has been done proposing methods for PU learning,…

Machine Learning · Computer Science 2022-06-07 Jack D. Saunders , Alex , A. Freitas

This paper proposes a new metric to measure the calibration error of probabilistic binary classifiers, called test-based calibration error (TCE). TCE incorporates a novel loss function based on a statistical test to examine the extent to…

Machine Learning · Statistics 2023-06-27 Takuo Matsubara , Niek Tax , Richard Mudd , Ido Guy

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

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

Model monitoring is a critical component of the machine learning lifecycle, safeguarding against undetected drops in the model's performance after deployment. Traditionally, performance monitoring has required access to ground truth labels,…

Machine Learning · Computer Science 2026-03-10 Juhani Kivimäki , Jakub Białek , Wojtek Kuberski , Jukka K. Nurminen

The binary classification problem has a situation where only biased data are observed in one of the classes. In this paper, we propose a new method to approach the positive and biased negative (PbN) classification problem, which is a weakly…

Methodology · Statistics 2025-10-28 Shotaro Watanabe , Hidetoshi Matsui

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

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

Likelihood-to-evidence ratio estimation is usually cast as either a binary (NRE-A) or a multiclass (NRE-B) classification task. In contrast to the binary classification framework, the current formulation of the multiclass version has an…

Machine Learning · Statistics 2024-07-08 Benjamin Kurt Miller , Christoph Weniger , Patrick Forré

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

Positive-unlabeled (PU) learning deals with binary classification problems when only positive (P) and unlabeled (U) data are available. Many recent PU methods are based on neural networks, but little has been done to develop boosting…

Machine Learning · Computer Science 2022-12-08 Yawen Zhao , Mingzhe Zhang , Chenhao Zhang , Weitong Chen , Nan Ye , Miao Xu

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

The Gauss Markov theorem states that the weighted least squares estimator is a linear minimum variance unbiased estimation (MVUE) in linear models. In this paper, we take a first step towards extending this result to non linear settings via…

Machine Learning · Computer Science 2023-11-30 Tzvi Diskin , Yonina C. Eldar , Ami Wiesel

This paper introduces a new biased estimator for the negative binomial regression model that is a generalization of Liu-type estimator proposed for the linear model in [12]. Since the variance of the maximum likelihood estimator (MLE) is…

Methodology · Statistics 2016-04-11 Yasin Asar

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

Estimating the parameters of probabilistic models of language such as maxent models and probabilistic neural models is computationally difficult since it involves evaluating partition functions by summing over an entire vocabulary, which…

Machine Learning · Computer Science 2014-10-31 Chris Dyer

Binary classifiers trained on a certain proportion of positive items introduce a bias when applied to data sets with different proportions of positive items. Most solutions for dealing with this issue assume that some information on the…

Machine Learning · Statistics 2021-02-18 Marco J. H. Puts , Piet J. H. Daas

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

Mixture modeling, which considers the potential heterogeneity in data, is widely adopted for classification and clustering problems. Mixture models can be estimated using the Expectation-Maximization algorithm, which works with the complete…

Methodology · Statistics 2022-03-18 Shonosuke Sugasawa , Genya Kobayashi

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