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Simulation can evaluate a statistical method for properties such as Type I Error, FDR, or bias on a grid of hypothesized parameter values. But what about the gaps between the grid-points? Continuous Simulation Extension (CSE) is a…

Methodology · Statistics 2024-09-10 James Yang , T. Ben Thompson , Michael Sklar

We propose a weak-identification-robust test for linear instrumental variable (IV) regressions with high-dimensional instruments, whose number is allowed to exceed the sample size. In addition, our test is robust to general error…

Econometrics · Economics 2025-07-01 Qu Feng , Sombut Jaidee , Wenjie Wang

The i.i.d. assumption is a useful idealization that underpins many successful approaches to supervised machine learning. However, its violation can lead to models that learn to exploit spurious correlations in the training data, rendering…

Machine Learning · Computer Science 2020-06-15 Daniel Pace , Alessandra Russo , Murray Shanahan

Deepfake detection is formulated as a hypothesis testing problem to classify an image as genuine or GAN-generated. A robust statistics view of GANs is considered to bound the error probability for various GAN implementations in terms of…

Machine Learning · Computer Science 2019-05-10 Sakshi Agarwal , Lav R. Varshney

Nonlinear causal effects are prevalent in many research scenarios involving continuous exposures, and instrumental variables (IVs) can be employed to investigate such effects, particularly in the presence of unmeasured confounders. However,…

Methodology · Statistics 2025-10-29 Haodong Tian , Ashish Patel , Stephen Burgess

Survival models incorporating random effects to account for unmeasured heterogeneity are being increasingly used in biostatistical and applied research. Specifically, unmeasured covariates whose lack of inclusion in the model would lead to…

Methodology · Statistics 2020-05-06 Alessandro Gasparini , Mark S. Clements , Keith R. Abrams , Michael J. Crowther

We put forward an adaptive alpha (Type I Error) that decreases as the information grows, for hypothesis tests in which nested linear models are compared. A less elaborate adaptation was already presented in \citet{PP2014} for comparing…

Methodology · Statistics 2021-01-06 D. Vélez , M. E. Pérez , L. R. Pericchi

Individuals use models to guide decisions, but many models are wrong. This paper studies which misspecified models are likely to persist when individuals also entertain alternative models. Consider an agent who uses her model to learn the…

Theoretical Economics · Economics 2023-08-22 Cuimin Ba

Researchers often use instrumental variables (IV) models to investigate the causal relationship between an endogenous variable and an outcome while controlling for covariates. When an exogenous variable is unavailable to serve as the…

Econometrics · Economics 2025-06-18 Moses Stewart

We propose a new paradigm for Belief Change in which the new information is represented as sets of models, while the agent's body of knowledge is represented as a finite set of formulae, that is, a finite base. The focus on finiteness is…

Logic in Computer Science · Computer Science 2023-09-13 Ricardo Guimarães , Ana Ozaki , Jandson S. Ribeiro

We study the assessment of semiparametric and other highly-parametrised models from the perspective of foundational principles of parametric statistical inference. In doing so, we highlight the possibility of avoiding the usual…

Methodology · Statistics 2026-05-05 Heather Battey , Nancy Reid

Tens of thousands of simultaneous hypothesis tests are routinely performed in genomic studies to identify differentially expressed genes. However, due to unmeasured confounders, many standard statistical approaches may be substantially…

Methodology · Statistics 2025-03-18 Jin-Hong Du , Larry Wasserman , Kathryn Roeder

Models of physical systems are used to explain and predict experimental results and observations. The Modeling Framework for Experimental Physics describes the process by which physicists revise their models to account for the newly…

Physics Education · Physics 2019-07-05 Laura Ríos , Benjamin Pollard , Dimitri R. Dounas-Frazer , H. J. Lewandowski

Counterfactual explanations can be obtained by identifying the smallest change made to a feature vector to qualitatively influence a prediction; for example, from 'loan rejected' to 'awarded' or from 'high risk of cardiovascular disease' to…

Machine Learning · Computer Science 2020-05-05 Martin Pawelczyk , Johannes Haug , Klaus Broelemann , Gjergji Kasneci

Inferring the causal effect of a non-randomly assigned exposure on an outcome requires adjusting for common causes of the exposure and outcome to avoid biased conclusions. Notwithstanding the efforts investigators routinely make to measure…

Methodology · Statistics 2021-02-04 Wen Wei Loh , Stijn Vansteelandt

Experimental and observational studies often lead to spurious association between the outcome and independent variables describing the intervention, because of confounding to third-party factors. Even in randomized clinical trials,…

Methodology · Statistics 2023-12-04 Orestis Loukas , Ho Ryun Chung

Statistical dependence between hypotheses poses a significant challenge to the stability of large scale multiple hypotheses testing. Ignoring it often results in an unacceptably large spread in the false positive proportion even though the…

Methodology · Statistics 2018-10-15 Sairam Rayaprolu , Zhiyi Chi

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

In this paper, we introduce the idea of using adversarially-generated samples of the input images that were classified as deepfakes by a detector, to form perturbation masks for inferring the importance of different input features and…

Computer Vision and Pattern Recognition · Computer Science 2025-02-07 Konstantinos Tsigos , Evlampios Apostolidis , Vasileios Mezaris

Adequacy for estimation between an inferential method and a model can be de{\ldots}ned through two main requirements: {\ldots}rstly the inferential tool should de{\ldots}ne a well posed problem when applied to the model; secondly the…

Statistics Theory · Mathematics 2025-07-30 Michel Broniatowski , Justin Moutsouka