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Monte Carlo permutation tests are a cornerstone of valid, model-free statistical inference. A widely held practical intuition is that increasing the number of sampled permutations improves test performance, in particular that statistical…

Computation · Statistics 2026-05-06 Suman Cha , Seongchan Lee , Antonin Schrab , Ilmun Kim

Post-selection strategies have been proposed with the aim of amplifying weak signals, which may help to overcome detection thresholds associated with technical noise in high-precision measurements. Here we use an optical setup to…

Quantum Physics · Physics 2017-01-11 G. Bié Alves , A. Pimentel , M. Hor-Meyll , S. P. Walborn , L. Davidovich , R. L. de Matos Filho

$\textbf{Motivation:}$ Small $p$-values are often required to be accurately estimated in large-scale genomic studies for the adjustment of multiple hypothesis tests and the ranking of genomic features based on their statistical…

Applications · Statistics 2023-08-29 Yang Shi , Mengqiao Wang , Weiping Shi , Ji-Hyun Lee , Huining Kang , Hui Jiang

We give a finite-sample analysis of predictive inference procedures after model selection in regression with random design. The analysis is focused on a statistically challenging scenario where the number of potentially important…

Statistics Theory · Mathematics 2009-08-26 Hannes Leeb

This paper introduces a new method for change detection in psychometric studies based on the recently introduced pseudo Score statistic, for which the sampling distribution under the alternative hypothesis has been determined. Our approach…

Methodology · Statistics 2024-08-09 Nicoletta D'Angelo

We propose a score-based generative algorithm for sampling from power-scaled priors and likelihoods within the Bayesian inference framework. Our algorithm enables flexible control over prior-likelihood influence without requiring retraining…

Machine Learning · Computer Science 2026-04-03 Huseyin Tuna Erdinc , Yunlin Zeng , Abhinav Prakash Gahlot , Felix J. Herrmann

Prediction-powered inference is a recent methodology for the safe use of black-box ML models to impute missing data, strengthening inference of statistical parameters. However, many applications require strong properties besides valid…

The statistical evidence (or marginal likelihood) is a key quantity in Bayesian statistics, allowing one to assess the probability of the data given the model under investigation. This paper focuses on refining the power posterior approach…

Computation · Statistics 2013-06-14 Nial Friel , Merrilee Hurn , Jason Wyse

Bayesian design of experiments and sample size calculations usually rely on complex Monte Carlo simulations in practice. Obtaining bounds on Bayesian notions of the false-positive rate and power therefore often lack closed-form or…

Methodology · Statistics 2025-02-06 Riko Kelter , Samuel Pawel

Several strategies have been developed recently to ensure valid inference after model selection; some of these are easy to compute, while others fare better in terms of inferential power. In this paper, we consider a selective inference…

Methodology · Statistics 2022-07-13 Snigdha Panigrahi , Jonathan Taylor

A typical power calculation is performed by replacing unknown population-level quantities in the power function with what is observed in external studies. Many authors and practitioners view this as an assumed value of power and offer the…

Applications · Statistics 2026-05-12 Geoffrey S Johnson

The objective of Bayesian inference is often to infer, from data, a probability measure for a random variable that can be used as input for Monte Carlo simulation. When datasets for Bayesian inference are small, a principle challenge is…

Computation · Statistics 2018-03-29 Jiaxin Zhang , Michael D. Shields

Theoretical guarantees for causal inference using propensity scores are partly based on the scores behaving like conditional probabilities. However, scores between zero and one, especially when outputted by flexible statistical estimators,…

Methodology · Statistics 2024-11-12 Rom Gutman , Ehud Karavani , Yishai Shimoni

Given a large pool of unlabelled data and a smaller amount of labels, prediction-powered inference (PPI) leverages machine learning predictions to increase the statistical efficiency of confidence interval procedures based solely on…

Machine Learning · Statistics 2025-10-27 Valentin Kilian , Stefano Cortinovis , François Caron

For randomized controlled trials (RCTs) with a single intervention being measured on multiple outcomes, researchers often apply a multiple testing procedure (such as Bonferroni or Benjamini-Hochberg) to adjust $p$-values. Such an adjustment…

Methodology · Statistics 2023-05-17 Kristen Hunter , Luke Miratrix , Kristin Porter

We present PPI++: a computationally lightweight methodology for estimation and inference based on a small labeled dataset and a typically much larger dataset of machine-learning predictions. The methods automatically adapt to the quality of…

Machine Learning · Statistics 2024-03-27 Anastasios N. Angelopoulos , John C. Duchi , Tijana Zrnic

Prediction-powered inference (PPI) is a method that improves statistical estimates based on limited human-labeled data. Specifically, PPI methods provide tighter confidence intervals by combining small amounts of human-labeled data with…

Machine Learning · Computer Science 2024-05-13 R. Alex Hofer , Joshua Maynez , Bhuwan Dhingra , Adam Fisch , Amir Globerson , William W. Cohen

While reliable data-driven decision-making hinges on high-quality labeled data, the acquisition of quality labels often involves laborious human annotations or slow and expensive scientific measurements. Machine learning is becoming an…

Machine Learning · Statistics 2024-03-01 Tijana Zrnic , Emmanuel J. Candès

Researchers faced with a sequence of candidate model specifications must often choose the best specification that does not violate a testable identification assumption. One option in this scenario is sequential specification tests:…

Methodology · Statistics 2023-07-25 Adam C. Sales

Penalized regression models such as the Lasso have proved useful for variable selection in many fields - especially for situations with high-dimensional data where the numbers of predictors far exceeds the number of observations. These…

Methodology · Statistics 2014-03-19 Kasper Brink-Jensen , Claus Thorn Ekstrøm