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The law of total probability may be deployed in binary classification exercises to estimate the unconditional class probabilities if the class proportions in the training set are not representative of the population class proportions. We…

Probability · Mathematics 2014-02-17 Dirk Tasche

Binary classification is a task that involves the classification of data into one of two distinct classes. It is widely utilized in various fields. However, conventional classifiers tend to make overconfident predictions for data that…

Machine Learning · Computer Science 2025-03-13 Shoma Yokura , Akihisa Ichiki

We present a new approach for mitigating unfairness in learned classifiers. In particular, we focus on binary classification tasks over individuals from two populations, where, as our criterion for fairness, we wish to achieve similar false…

Machine Learning · Computer Science 2018-03-09 Yahav Bechavod , Katrina Ligett

Binary classification involves predicting the label of an instance based on whether the model score for the positive class exceeds a threshold chosen based on the application requirements (e.g., maximizing recall for a precision bound).…

Machine Learning · Computer Science 2023-11-21 Gundeep Arora , Srujana Merugu , Anoop Saladi , Rajeev Rastogi

The traditional binary classification framework constructs classifiers which may have good accuracy, but whose false positive and false negative error rates are not under users' control. In many cases, one of the errors is more severe and…

Machine Learning · Statistics 2020-10-22 Miloš Simić

Most positive and unlabeled data is subject to selection biases. The labeled examples can, for example, be selected from the positive set because they are easier to obtain or more obviously positive. This paper investigates how learning can…

Machine Learning · Computer Science 2019-07-01 Jessa Bekker , Pieter Robberechts , Jesse Davis

Large Language Models (LLMs) are widely used to evaluate natural language generation tasks as automated metrics. However, the likelihood, a measure of LLM's plausibility for a sentence, can vary due to superficial differences in sentences,…

Computation and Language · Computer Science 2025-11-11 Masanari Oi , Masahiro Kaneko , Ryuto Koike , Mengsay Loem , Naoaki Okazaki

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

The negative binomial distribution has been widely used as a more flexible model than the Poisson distribution for count data. However, when the true data-generating process is Poisson, it is often challenging to distinguish it from a…

Statistics Theory · Mathematics 2026-04-07 Yingying Yang , Niloufar Dousti Mousavi , Zhou Yu , Jie Yang

Naive Bayes classifiers have proven to be useful in many prediction problems with complete training data. Here we consider the situation where a naive Bayes classifier is trained with data where the response is right censored. Such…

Statistics Theory · Mathematics 2014-11-03 Priyantha Wijayatunga , Xavier de Luna

In this paper, we study the accuracy of values aggregated over classes predicted by a classification algorithm. The problem is that the resulting aggregates (e.g., sums of a variable) are known to be biased. The bias can be large even for…

Machine Learning · Statistics 2019-12-02 Q. A. Meertens , C. G. H. Diks , H. J. van den Herik , F W Takes

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

AIMS. The maximum-likelihood method is the standard approach to obtain model fits to observational data and the corresponding confidence regions. We investigate possible sources of bias in the log-likelihood function and its subsequent…

Astrophysics · Physics 2009-11-11 J. Hartlap , P. Simon , P. Schneider

When the competing classes in a classification problem are not of comparable size, many popular classifiers exhibit a bias towards larger classes, and the nearest neighbor classifier is no exception. To take care of this problem, we develop…

Methodology · Statistics 2023-11-02 Anvit Garg , Anil K. Ghosh , Soham Sarkar

One of the central themes in the classification task is the estimation of class posterior probability at a new point $\bf{x}$. The vast majority of classifiers output a score for $\bf{x}$, which is monotonically related to the posterior…

Machine Learning · Computer Science 2019-09-16 Georgi Nalbantov , Svetoslav Ivanov

Datasets for training recommender systems are often subject to distribution shift induced by users' and recommenders' selection biases. In this paper, we study the impact of selection bias on datasets with different quantization. We then…

Information Retrieval · Computer Science 2022-12-29 Fengyu Li , Sarah Dean

In binary classification, there are situations where negative (N) data are too diverse to be fully labeled and we often resort to positive-unlabeled (PU) learning in these scenarios. However, collecting a non-representative N set that…

Machine Learning · Computer Science 2019-07-16 Yu-Guan Hsieh , Gang Niu , Masashi Sugiyama

The minimization of specific cases in binary classification, such as false negatives or false positives, grows increasingly important as humans begin to implement more machine learning into current products. While there are a few methods to…

Machine Learning · Computer Science 2022-04-07 Sanskriti Singh

In a binary classification problem where the goal is to fit an accurate predictor, the presence of corrupted labels in the training data set may create an additional challenge. However, in settings where likelihood maximization is poorly…

Statistics Theory · Mathematics 2021-06-18 Yonghoon Lee , Rina Foygel Barber

Imbalanced data, where the positive samples represent only a small proportion compared to the negative samples, makes it challenging for classification problems to balance the false positive and false negative rates. A common approach to…

Machine Learning · Statistics 2026-02-17 Pengfei Lyu , Zhengchi Ma , Linjun Zhang , Anru R. Zhang
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