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Agglomerative hierarchical clustering is one of the most widely used approaches for exploring how observations in a dataset relate to each other. However, its greedy nature makes it highly sensitive to small perturbations in the data, often…

Methodology · Statistics 2026-03-17 Di Wu , Jacob Bien , Snigdha Panigrahi

In deep learning applications, robustness measures the ability of neural models that handle slight changes in input data, which could lead to potential safety hazards, especially in safety-critical applications. Pre-deployment assessment of…

Software Engineering · Computer Science 2024-04-26 Wenchuan Mu , Kwan Hui Lim

Deepfakes are on the rise, with increased sophistication and prevalence allowing for high-profile social engineering attacks. Detecting them in the wild is therefore important as ever, giving rise to new approaches breaking benchmark…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Guy Levy , Nathan Liebmann

We show that publishing results using the statistical significance filter---publishing only when the p-value is less than 0.05---leads to a vicious cycle of overoptimistic expectation of the replicability of results. First, we show…

Methodology · Statistics 2017-05-16 Shravan Vasishth , Andrew Gelman

We propose a method for constructing confidence intervals that account for many forms of spatial correlation. The interval has the familiar `estimator plus and minus a standard error times a critical value' form, but we propose new methods…

Econometrics · Economics 2021-02-19 Ulrich K. Müller , Mark W. Watson

Trustworthy verifiers are essential for the success of reinforcement learning with verifiable reward (RLVR), which is the core methodology behind various large reasoning models such as DeepSeek-R1. In complex domains like mathematical…

Machine Learning · Computer Science 2025-10-08 Yuzhen Huang , Weihao Zeng , Xingshan Zeng , Qi Zhu , Junxian He

The mid-p-value is a proposed improvement on the ordinary p-value for the case where the test statistic is partially or completely discrete. In this case, the ordinary p-value is conservative, meaning that its null distribution is larger…

Statistics Theory · Mathematics 2017-06-02 Patrick Rubin-Delanchy , Nicholas A. Heard , Daniel John Lawson

We revisit the fundamental question of simple-versus-simple hypothesis testing with an eye towards computational complexity, as the statistically optimal likelihood ratio test is often computationally intractable in high-dimensional…

Statistics Theory · Mathematics 2025-05-05 Ankur Moitra , Alexander S. Wein

In large-scale hypothesis testing, computing exact $p$-values or $e$-values is often resource-intensive, creating a need for budget-aware inferential methods. We propose a general framework for active hypothesis testing that leverages…

Methodology · Statistics 2026-04-09 Qi Kuang , Bowen Gang , Yin Xia

Combining individual p-values to aggregate multiple small effects has a long-standing interest in statistics, dating back to the classic Fisher's combination test. In modern large-scale data analysis, correlation and sparsity are common…

Methodology · Statistics 2018-11-30 Yaowu Liu , Jun Xie

Decision making or scientific discovery pipelines such as job hiring and drug discovery often involve multiple stages: before any resource-intensive step, there is often an initial screening that uses predictions from a machine learning…

Methodology · Statistics 2023-05-30 Ying Jin , Emmanuel J. Candès

Critiques are important for enhancing the performance of Large Language Models (LLMs), enabling both self-improvement and constructive feedback for others by identifying flaws and suggesting improvements. However, evaluating the critique…

Computation and Language · Computer Science 2025-01-27 Zhengyang Tang , Ziniu Li , Zhenyang Xiao , Tian Ding , Ruoyu Sun , Benyou Wang , Dayiheng Liu , Fei Huang , Tianyu Liu , Bowen Yu , Junyang Lin

We consider the hypothesis testing problem of detecting a shift between the means of two multivariate normal distributions in the high-dimensional setting, allowing for the data dimension p to exceed the sample size n. Specifically, we…

Statistics Theory · Mathematics 2015-09-15 Miles E. Lopes , Laurent J. Jacob , Martin J. Wainwright

This article proposes an alternative to the Hosmer-Lemeshow (HL) test for evaluating the calibration of probability forecasts for binary events. The approach is based on e-values, a new tool for hypothesis testing. An e-value is a random…

Methodology · Statistics 2023-02-28 Alexander Henzi , Marius Puke , Timo Dimitriadis , Johanna Ziegel

Particle physics experiments such as those run in the Large Hadron Collider result in huge quantities of data, which are boiled down to a few numbers from which it is hoped that a signal will be detected. We discuss a simple probability…

Applications · Statistics 2011-02-18 A. C. Davison , N. Sartori

Machine learning (ML) models show strong promise for new biomedical prediction tasks, but concerns about trustworthiness have hindered their clinical adoption. In particular, it is often unclear whether a model relies on true clinical cues…

Machine Learning · Computer Science 2026-01-13 Dushan N. Wadduwage , Dineth Jayakody , Leonidas Zimianitis

We present a new way of testing ordered hypotheses against all alternatives which overpowers the classical approach both in simplicity and statistical power. Our new method tests the constrained likelihood ratio statistic against the…

Methodology · Statistics 2018-06-26 Diaa Al Mohamad , Jelle J. Goeman , Erik W. van Zwet , Eric A. Cator

Inferring linear relationships lies at the heart of many empirical investigations. A measure of linear dependence should correctly evaluate the strength of the relationship as well as qualify whether it is meaningful for the population.…

Methodology · Statistics 2022-08-16 Kaustubh R. Patil , Simon B. Eickhoff , Robert Langner

When language models are trained by reinforcement learning (RL) to write probabilistic programs, they can artificially inflate their marginal-likelihood reward by producing programs whose data distribution fails to normalise instead of…

Machine Learning · Computer Science 2026-03-26 Jacek Karwowski , Younesse Kaddar , Zihuiwen Ye , Nikolay Malkin , Sam Staton

Replicability issues -- referring to the difficulty or failure of independent researchers to corroborate the results of published studies -- have hindered the meaningful progression of science and eroded public trust in scientific findings.…