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We consider the common setting where one observes probability estimates for a large number of events, such as default risks for numerous bonds. Unfortunately, even with unbiased estimates, selecting events corresponding to the most extreme…

Methodology · Statistics 2021-10-14 Gareth M. James , Peter Radchenko , Bradley Rava

The relationship between inflation and predictors such as unemployment is potentially nonlinear with a strength that varies over time, and prediction errors error may be subject to large, asymmetric shocks. Inspired by these concerns, we…

Econometrics · Economics 2022-03-01 Todd E. Clark , Florian Huber , Gary Koop , Massimiliano Marcellino

The incorporation of unlabeled data in regression and classification analysis is an increasing focus of the applied statistics and machine learning literatures, with a number of recent examples demonstrating the potential for unlabeled data…

Methodology · Statistics 2009-09-29 Feng Liang , Sayan Mukherjee , Mike West

In this paper we are interested in empirical likelihood (EL) as a method of estimation, and we address the following two problems: (1) selecting among various empirical discrepancies in an EL framework and (2) demonstrating that EL has a…

Statistics Theory · Mathematics 2009-08-25 Marian Grendár , George Judge

Bootstrapping and other resampling methods are increasingly appearing in the textbooks and curricula of courses that introduce undergraduate students to statistical methods. In order to teach the bootstrap well, students and instructors…

Other Statistics · Statistics 2024-05-30 Njesa Totty , James Molyneux , Claudio Fuentes

The paper concerns the probabilistic evaluation of plans in the presence of unmeasured variables, each plan consisting of several concurrent or sequential actions. We establish a graphical criterion for recognizing when the effects of a…

Artificial Intelligence · Computer Science 2013-02-21 Judea Pearl , James M. Robins

Probe-level models have led to improved performance in microarray studies but the various sources of probe-level contamination are still poorly understood. Data-driven analysis of probe performance can be used to quantify the uncertainty in…

Computational Engineering, Finance, and Science · Computer Science 2013-04-09 Leo Lahti , Laura L. Elo , Tero Aittokallio , Samuel Kaski

Rapid advancements in data science require us to have fundamentally new frameworks to tackle prevalent but highly non-trivial "irregular" inference problems, to which the large sample central limit theorem does not apply. Typical examples…

Methodology · Statistics 2026-02-11 Minge Xie , Peng Wang

We consider inference from non-random samples in data-rich settings where high-dimensional auxiliary information is available both in the sample and the target population, with survey inference being a special case. We propose a regularized…

Methodology · Statistics 2021-04-13 Yutao Liu , Andrew Gelman , Qixuan Chen

We show that the average stability notion introduced by \cite{kearns1999algorithmic, bousquet2002stability} is invariant to data preconditioning, for a wide class of generalized linear models that includes most of the known exp-concave…

Machine Learning · Computer Science 2017-04-18 Alon Gonen , Shai Shalev-Shwartz

Incomplete data are common in practical applications. Most predictive machine learning models do not handle missing values so they require some preprocessing. Although many algorithms are used for data imputation, we do not understand the…

Machine Learning · Statistics 2020-07-07 Katarzyna Woźnica , Przemysław Biecek

A highly accurate but overconfident model is ill-suited for deployment in critical applications such as healthcare and autonomous driving. The classification outcome should reflect a high uncertainty on ambiguous in-distribution samples…

Machine Learning · Computer Science 2022-10-25 Sumedha Singla , Nihal Murali , Forough Arabshahi , Sofia Triantafyllou , Kayhan Batmanghelich

Computer simulations have proven a valuable tool for understanding complex phenomena across the sciences. However, the utility of simulators for modelling and forecasting purposes is often restricted by low data quality, as well as…

Machine Learning · Statistics 2022-10-14 Daniel Ward , Patrick Cannon , Mark Beaumont , Matteo Fasiolo , Sebastian M Schmon

Differential privacy is a restriction on data processing algorithms that provides strong confidentiality guarantees for individual records in the data. However, research on proper statistical inference, that is, research on properly…

Cryptography and Security · Computer Science 2021-07-06 Joerg Drechsler , Ira Globus-Harris , Audra McMillan , Jayshree Sarathy , Adam Smith

Exposure mappings facilitate investigations of complex causal effects when units interact in experiments. Current methods require experimenters to use the same exposure mappings both to define the effect of interest and to impose…

Statistics Theory · Mathematics 2023-03-14 Fredrik Sävje

We present extensive empirical evidence showing that current Bayesian simulation-based inference algorithms can produce computationally unfaithful posterior approximations. Our results show that all benchmarked algorithms -- (Sequential)…

Machine Learning · Statistics 2022-12-06 Joeri Hermans , Arnaud Delaunoy , François Rozet , Antoine Wehenkel , Volodimir Begy , Gilles Louppe

Empirical human-AI alignment aims to make AI systems act in line with observed human behavior. While noble in its goals, we argue that empirical alignment can inadvertently introduce statistical biases that warrant caution. This position…

Artificial Intelligence · Computer Science 2025-05-13 Julian Rodemann , Esteban Garces Arias , Christoph Luther , Christoph Jansen , Thomas Augustin

When prior information is lacking, the go-to strategy for probabilistic inference is to combine a "default prior" and the likelihood via Bayes's theorem. Objective Bayes, (generalized) fiducial inference, etc. fall under this umbrella. This…

Methodology · Statistics 2026-01-05 Ryan Martin

Statistical models typically capture uncertainties in our knowledge of the corresponding real-world processes, however, it is less common for this uncertainty specification to capture uncertainty surrounding the values of the inputs to the…

Methodology · Statistics 2023-05-10 Samuel E. Jackson , David C. Woods

The study focuses on improving the ex ante prediction accuracy assessment in the case of forecasting various house price dispersion measures in the USA. It addresses a critical gap in real estate market forecasting by proposing a novel…