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The vast majority of statistical theory on binary classification characterizes performance in terms of accuracy. However, accuracy is known in many cases to poorly reflect the practical consequences of classification error, most famously in…

Statistics Theory · Mathematics 2022-09-27 Shashank Singh , Justin Khim

Recalibrating probabilistic classifiers is vital for enhancing the reliability and accuracy of predictive models. Despite the development of numerous recalibration algorithms, there is still a lack of a comprehensive theory that integrates…

Machine Learning · Computer Science 2023-05-19 Zeyu Sun , Dogyoon Song , Alfred Hero

Planning for diverse real-world robotic 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…

Robotics · Computer Science 2025-01-17 Baiyu Peng , Aude Billard

Work in the classification literature has shown that in computing a classification function, one need not know the class membership of all observations in the training set; the unlabeled observations still provide information on the…

Machine Learning · Statistics 2015-10-07 Norman Matloff

The paper studies binary classification and aims at estimating the underlying regression function which is the conditional expectation of the class labels given the inputs. The regression function is the key component of the Bayes optimal…

Machine Learning · Statistics 2019-03-26 Balázs Csanád Csáji , Ambrus Tamás

Neural Networks can perform poorly when the training label distribution is heavily imbalanced, as well as when the testing data differs from the training distribution. In order to deal with shift in the testing label distribution, which…

Machine Learning · Computer Science 2020-10-23 Junjiao Tian , Yen-Cheng Liu , Nathan Glaser , Yen-Chang Hsu , Zsolt Kira

Under label shift, the label distribution p(y) might change but the class-conditional distributions p(x|y) do not. There are two dominant approaches for estimating the label marginal. BBSE, a moment-matching approach based on confusion…

Machine Learning · Computer Science 2020-10-20 Saurabh Garg , Yifan Wu , Sivaraman Balakrishnan , Zachary C. Lipton

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

In a variety of settings, limitations of sensing technologies or other sampling mechanisms result in missing labels, where the likelihood of a missing label in the training set is an unknown function of the data. For example, satellites…

Machine Learning · Statistics 2021-03-26 Hyebin Song , Garvesh Raskutti , Rebecca Willett

In biomedical and public health association studies, binary outcome variables may be subject to misclassification, resulting in substantial bias in effect estimates. The feasibility of addressing binary outcome misclassification in…

Methodology · Statistics 2024-03-19 Kimberly A. Hochstedler Webb , Martin T. Wells

In supervised learning, we often face with ambiguous (A) samples that are difficult to label even by domain experts. In this paper, we consider a binary classification problem in the presence of such A samples. This problem is substantially…

Machine Learning · Computer Science 2020-11-25 Naoya Otani , Yosuke Otsubo , Tetsuya Koike , Masashi Sugiyama

We argue that for analysis of Positive Unlabeled (PU) data under Selected Completely At Random (SCAR) assumption it is fruitful to view the problem as fitting of misspecified model to the data. Namely, we show that the results on…

Machine Learning · Statistics 2023-06-06 Mateusz Płatek , Jan Mielniczuk

Malicious bots make up about a quarter of all traffic on the web, and degrade the performance of personalization and recommendation algorithms that operate on e-commerce sites. Positive-Unlabeled learning (PU learning) provides the ability…

Machine Learning · Computer Science 2021-03-03 Sunny Dhamnani , Ritwik Sinha , Vishwa Vinay , Lilly Kumari , Margarita Savova

Machine learning systems exhibit diverse failure modes: unfairness toward protected groups, brittleness to spurious correlations, poor performance on minority sub-populations, which are typically studied in isolation by distinct research…

Machine Learning · Computer Science 2025-11-12 Sushant Mehta

For the binary prevalence quantification problem under prior probability shift, we determine the asymptotic variance of the maximum likelihood estimator. We find that it is a function of the Brier score for the regression of the class label…

Machine Learning · Statistics 2021-09-23 Dirk Tasche

Emerging applications of sensor networks for detection sometimes suggest that classical problems ought be revisited under new assumptions. This is the case of binary hypothesis testing with independent - but not necessarily identically…

Information Theory · Computer Science 2019-03-27 Stefano Marano , Peter Willett

A weakly-supervised learning framework named as complementary-label learning has been proposed recently, where each sample is equipped with a single complementary label that denotes one of the classes the sample does not belong to. However,…

Machine Learning · Statistics 2020-07-24 Yuzhou Cao , Shuqi Liu , Yitian Xu

To alleviate the data requirement for training effective binary classifiers in binary classification, many weakly supervised learning settings have been proposed. Among them, some consider using pairwise but not pointwise labels, when…

Machine Learning · Computer Science 2022-01-14 Lei Feng , Senlin Shu , Nan Lu , Bo Han , Miao Xu , Gang Niu , Bo An , Masashi Sugiyama

In statistical classification and machine learning, classification error is an important performance measure, which is minimized by the Bayes decision rule. In practice, the unknown true distribution is usually replaced with a model…

Machine Learning · Computer Science 2025-01-28 Zijian Yang , Vahe Eminyan , Ralf Schlüter , Hermann Ney

We propose an evaluation framework for class probability estimates (CPEs) in the presence of label uncertainty, which is commonly observed as diagnosis disagreement between experts in the medical domain. We also formalize evaluation metrics…

Machine Learning · Statistics 2021-03-23 Takahiro Mimori , Keiko Sasada , Hirotaka Matsui , Issei Sato
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