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This paper is concerned with the density of rational points of bounded height lying on a variety defined by an integral quadratic form Q. In the case of four variables, we give an estimate that does not depend on the coefficients of Q. For…

数论 · 数学 2020-03-31 Félicien Comtat

Positive predictive value and negative predictive value are two widely used parameters to assess the clinical usefulness of a medical diagnostic test. When there are two diagnostic tests, it is recommendable to make a comparative assessment…

统计方法学 · 统计学 2024-05-29 Antonio Martín Andrés , Pedro Femia Marzo

Feature selection can facilitate the learning of mixtures of discrete random variables as they arise, e.g. in crowdsourcing tasks. Intuitively, not all workers are equally reliable but, if the less reliable ones could be eliminated, then…

机器学习 · 统计学 2017-11-28 Vincent Zhao , Steven W. Zucker

We introduce inference methods for score decompositions, which partition scoring functions for predictive assessment into three interpretable components: miscalibration, discrimination, and uncertainty. Our estimation and inference relies…

计量经济学 · 经济学 2026-03-05 Timo Dimitriadis , Marius Puke

The paper deals with measures of nonlinearity. In state estimation, they are utilized i) to select a suitable state estimation algorithm by assessing the nonlinearity of a system model, ii) to adapt the estimation algorithm structure or…

系统与控制 · 电气工程与系统科学 2024-12-10 Ondřej Straka , Jindřich Havlík

We consider a distributed learning setting where each agent/learner holds a specific parametric model and data source. The goal is to integrate information across a set of learners to enhance the prediction accuracy of a given learner. A…

统计方法学 · 统计学 2021-09-21 Jiaying Zhou , Jie Ding , Kean Ming Tan , Vahid Tarokh

In rank aggregation, members of a population rank issues to decide which are collectively preferred. We focus instead on identifying divisive issues that express disagreements among the preferences of individuals. We analyse the properties…

多智能体系统 · 计算机科学 2023-06-16 Rachael Colley , Umberto Grandi , César Hidalgo , Mariana Macedo , Carlos Navarrete

Propensity score weighting is widely used to improve the representativeness and correct the selection bias in the voluntary sample. The propensity score is often developed using a model for the sampling probability, which can be subject to…

统计方法学 · 统计学 2022-07-20 Hengfang Wang , Jae Kwang Kim

Forecasts for uncertain future events should be probabilistic. Probabilistic forecasts are commonly issued as prediction intervals, which provide a measure of uncertainty in the unknown outcome whilst being easier to understand and…

统计方法学 · 统计学 2025-08-26 Sam Allen , Julia Burnello , Johanna Ziegel

We propose a method for evaluating the quality of generated text by asking evaluators to count facts, and computing precision, recall, f-score, and accuracy from the raw counts. We believe this approach leads to a more objective and easier…

计算与语言 · 计算机科学 2021-04-12 Francesco Moramarco , Damir Juric , Aleksandar Savkov , Ehud Reiter

In many classification tasks, there is no definitive ground truth, only human judgments that may disagree. We address two challenges that arise in such settings: (1) how to use human raters to score classifiers, and (2) how to use them for…

机器学习 · 计算机科学 2026-04-24 Paul Resnick , Yuqing Kong , Grant Schoenebeck , Tim Weninger

Suppose we observe an invertible linear process with independent mean-zero innovations and with coefficients depending on a finite-dimensional parameter, and we want to estimate the expectation of some function under the stationary…

统计理论 · 数学 2007-06-13 Anton Schick , Wolfgang Wefelmeyer

In the partially-observed outcome setting, a recent set of proposals known as "prediction-powered inference" (PPI) involve (i) applying a pre-trained machine learning model to predict the response, and then (ii) using these predictions to…

统计方法学 · 统计学 2026-02-12 Runjia Zou , Daniela Witten , Brian Williamson

Rating procedure is crucial in many applied fields (e.g., educational, clinical, emergency). It implies that a rater (e.g., teacher, doctor) rates a subject (e.g., student, doctor) on a rating scale. Given raters variability, several…

统计方法学 · 统计学 2026-01-14 Giuseppe Mignemi , Ioanna Manolopoulou

Constructing prediction sets with coverage guarantees for unobserved outcomes is a core problem in modern statistics. Methods for predictive inference have been developed for a wide range of settings, but usually only consider test data…

统计方法学 · 统计学 2025-07-11 Yonghoon Lee , Eric Tchetgen Tchetgen , Edgar Dobriban

Rankings, representing preferences over a set of candidates, are widely used in many information systems, e.g., group decision making and information retrieval. It is of great importance to evaluate the consensus of the obtained rankings…

人工智能 · 计算机科学 2019-07-29 Zhengui Xue , Zhiwei Lin , Hui Wang , Sally McClean

We study information theoretic methods for ranking biomarkers. In clinical trials there are two, closely related, types of biomarkers: predictive and prognostic, and disentangling them is a key challenge. Our first step is to phrase…

机器学习 · 统计学 2016-12-06 Konstantinos Sechidis , Emily Turner , Paul D. Metcalfe , James Weatherall , Gavin Brown

Mutual information is a general statistical dependency measure which has found applications in representation learning, causality, domain generalization and computational biology. However, mutual information estimators are typically…

机器学习 · 统计学 2023-10-17 Paweł Czyż , Frederic Grabowski , Julia E. Vogt , Niko Beerenwinkel , Alexander Marx

We consider the problem of computing the joint distribution of order statistics of stochastically independent random variables in one- and two-group models. While recursive formulas for evaluating the joint cumulative distribution function…

统计计算 · 统计学 2018-12-24 Jonathan von Schroeder , Thorsten Dickhaus

Quantifying uncertainty of machine learning model predictions is essential for reliable decision-making, especially in safety-critical applications. Recently, uncertainty quantification (UQ) theory has advanced significantly, building on a…