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This paper introduces a conformal inference method to evaluate uncertainty in classification by generating prediction sets with valid coverage conditional on adaptively chosen features. These features are carefully selected to reflect…

Machine Learning · Statistics 2024-10-31 Yanfei Zhou , Matteo Sesia

One of the most common methods for statistical inference is the maximum likelihood estimator (MLE). The MLE needs to compute the normalization constant in statistical models, and it is often intractable. Using unnormalized statistical…

Statistics Theory · Mathematics 2016-04-26 Takafumi Kanamori , Takashi Takenouchi

Conformal prediction, which makes no distributional assumptions about the data, has emerged as a powerful and reliable approach to uncertainty quantification in practical applications. The nonconformity measure used in conformal prediction…

Machine Learning · Computer Science 2024-10-15 Yuko Kato , David M. J. Tax , Marco Loog

Existing similarity-based weakly supervised learning approaches often rely on precise similarity annotations between data pairs, which may inadvertently expose sensitive label information and raise privacy risks. To mitigate this issue, we…

Machine Learning · Computer Science 2025-09-16 Meng Wei , Zhongnian Li , Peng Ying , Xinzheng Xu

Optimum designs for parameter estimation in generalized regression models are standardly based on the Fisher information matrix (cf. Atkinson et al (2014) for a recent exposition). The corresponding optimality criteria are related to the…

Statistics Theory · Mathematics 2015-07-28 Katarína Burclová , Andrej Pázman

A striking result of [Acharya et al. 2017] showed that to estimate symmetric properties of discrete distributions, plugging in the distribution that maximizes the likelihood of observed multiset of frequencies, also known as the profile…

Statistics Theory · Mathematics 2020-11-03 Yanjun Han , Kirankumar Shiragur

In a standard multi-output classification scenario, both features and labels of training data are partially observed. This challenging issue is widely witnessed due to sensor or database failures, crowd-sourcing and noisy communication…

Machine Learning · Computer Science 2019-12-20 Giancarlo Fissore , Aurélien Decelle , Cyril Furtlehner , Yufei Han

Machine learning (ML) models are increasingly being used in metrology applications. However, for ML models to be credible in a metrology context they should be accompanied by principled uncertainty quantification. This paper addresses the…

Machine Learning · Computer Science 2024-05-09 Andrew Thompson

Calibrated probabilistic classifiers are models whose predicted probabilities can directly be interpreted as uncertainty estimates. It has been shown recently that deep neural networks are poorly calibrated and tend to output overconfident…

Machine Learning · Statistics 2022-10-17 Teodora Popordanoska , Raphael Sayer , Matthew B. Blaschko

Standard empirical risk minimization (ERM) training can produce deep neural network (DNN) models that are accurate on average but under-perform in under-represented population subgroups, especially when there are imbalanced group…

This work aims to develop a measure that can accurately rank the performance of various classifiers when they are tested on unlabeled data from out-of-distribution (OOD) distributions. We commence by demonstrating that conventional…

Machine Learning · Computer Science 2024-06-17 Weijie Tu , Weijian Deng , Liang Zheng , Tom Gedeon

In high-stakes scenarios, such as medical imaging applications, it is critical to equip the predictions of a regression model with reliable confidence intervals. Recently, Conformal Prediction (CP) has emerged as a powerful statistical…

Machine Learning · Computer Science 2025-09-19 Yahav Cohen , Jacob Goldberger , Tom Tirer

This paper studies the probability of error associated with the social machine learning framework, which involves an independent training phase followed by a cooperative decision-making phase over a graph. This framework addresses the…

Machine Learning · Computer Science 2024-07-10 Ping Hu , Virginia Bordignon , Mert Kayaalp , Ali H. Sayed

Conformal inference is a versatile tool for building prediction sets in regression or classification. We study the false coverage proportion (FCP) in a simultaneous inference setting with a calibration sample of $n$ points and a test sample…

Statistics Theory · Mathematics 2026-02-19 Ulysse Gazin

In this paper, we consider the Integrated Completed Likelihood (ICL) as a useful criterion for estimating the number of changes in the underlying distribution of data in problems where detecting the precise location of these changes is the…

Computation · Statistics 2013-07-02 Alice Cleynen , The Minh Luong , Guillem Rigaill , Gregory Nuel

In the problem of composite hypothesis testing, identifying the potential uniformly most powerful (UMP) unbiased test is of great interest. Beyond typical hypothesis settings with exponential family, it is usually challenging to prove the…

Methodology · Statistics 2022-08-03 Tianyu Zhan , Jian Kang

In this paper we develop a principled, probabilistic, unified approach to non-standard classification tasks, such as semi-supervised, positive-unlabelled, multi-positive-unlabelled and noisy-label learning. We train a classifier on the…

Machine Learning · Computer Science 2020-06-17 Jeppe Nørregaard , Lars Kai Hansen

Statistical inference on histograms and frequency counts plays a central role in categorical data analysis. Moving beyond classical methods that directly analyze labeled frequencies, we introduce a framework that models the multiset of…

Statistics Theory · Mathematics 2025-11-10 Yun Ma , Pengkun Yang

A fundamental challenge in probabilistic modeling is to balance expressivity and inference efficiency. Tractable probabilistic models (TPMs) aim to directly address this tradeoff by imposing constraints that guarantee efficient inference of…

Artificial Intelligence · Computer Science 2025-10-28 John Leland , YooJung Choi

Standard random-effects meta-analysis relies heavily on the assumption that the underlying true effects are normally distributed. In the social sciences, where evidence synthesis increasingly involves large, highly heterogeneous datasets,…

Methodology · Statistics 2026-05-01 Daihe Sui , Elizabeth Tipton
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