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We compare two theoretically distinct approaches to generating artificial (or ``surrogate'') data for testing hypotheses about a given data set. The first and more straightforward approach is to fit a single ``best'' model to the original…

comp-gas · Physics 2015-06-24 James Theiler , Dean Prichard

While Null Hypothesis Significance Testing (NHST) remains a widely used statistical tool, it suffers from several shortcomings in its common usage, such as conflating statistical and practical significance, the formulation of inappropriate…

The effective utilization of structural information in data while ensuring statistical validity poses a significant challenge in false discovery rate (FDR) analyses. Conformal inference provides rigorous theory for grounding complex machine…

Methodology · Statistics 2024-06-18 Zinan Zhao , Wenguang Sun

Large Language Models have significantly advanced natural language processing tasks, but remain prone to generating incorrect or misleading but plausible arguments. This issue, known as hallucination, is particularly concerning in…

Computation and Language · Computer Science 2025-12-04 Ahmad Aghaebrahimian

Statistical hypothesis tests typically use prespecified sample sizes, yet data often arrive sequentially. Interim analyses invalidate classical error guarantees, while existing sequential methods require rigid testing preschedules or incur…

Methodology · Statistics 2026-02-17 Chris Holmes , Stephen Walker

We consider the problem of sensor selection for time-optimal detection of a hypothesis. We consider a group of sensors transmitting their observations to a fusion center. The fusion center considers the output of only one randomly chosen…

Information Theory · Computer Science 2009-09-10 Vaibhav Srivastava , Kurt Plarre , Francesco Bullo

Determining the number of change-points is a first-step and fundamental task in change-point detection problems, as it lays the groundwork for subsequent change-point position estimation. While the existing literature offers various methods…

Methodology · Statistics 2026-03-31 Ao Sun , Jingyuan Liu

Few-shot learning has drawn researchers' attention to overcome the problem of data scarcity. Recently, large pre-trained language models have shown great performance in few-shot learning for various downstream tasks, such as question…

Computation and Language · Computer Science 2021-03-18 Nayeon Lee , Yejin Bang , Andrea Madotto , Madian Khabsa , Pascale Fung

This paper introduces the task of factual error correction: performing edits to a claim so that the generated rewrite is better supported by evidence. This extends the well-studied task of fact verification by providing a mechanism to…

Computation and Language · Computer Science 2021-06-18 James Thorne , Andreas Vlachos

This paper introduces the task of factual error correction: performing edits to a claim so that the generated rewrite is better supported by evidence. This extends the well-studied task of fact verification by providing a mechanism to…

Computation and Language · Computer Science 2021-06-17 James Thorne , Andreas Vlachos

Familywise error rate (FWER) has been a cornerstone in simultaneous inference for decades, and the classical Bonferroni method has been one of the most prominent frequentist approaches for controlling FWER. The present article studies the…

Statistics Theory · Mathematics 2022-01-27 Monitirtha Dey

Testing to see whether a given data set comes from some specified distribution is among the oldest types of problems in Statistics. Many such tests have been developed and their performance studied. The general result has been that while a…

Applications · Statistics 2020-12-07 Wolfgang Rolke

In many large multiple testing problems the hypotheses are divided into families. Given the data, families with evidence for true discoveries are selected, and hypotheses within them are tested. Neither controlling the error-rate in each…

Statistics Theory · Mathematics 2011-06-21 Yoav Benjamini , Marina Bogomolov

Much of science is (rightly or wrongly) driven by hypothesis testing. Even in situations where the hypothesis testing paradigm is correct, the common practice of basing inferences solely on p-values has been under intense criticism for over…

Methodology · Statistics 2015-12-31 M. J. Bayarri , Daniel J. Benjamin , James O. Berger , Thomas M. Sellke

Approaches for testing sets of variants, such as a set of rare or common variants within a gene or pathway, for association with complex traits are important. In particular, set tests allow for aggregation of weak signal within a set, can…

Genomics · Quantitative Biology 2013-05-28 Jennifer Listgarten , Christoph Lippert , Eun Yong Kang , Jing Xiang , Carl M. Kadie , David Heckerman

Online testing procedures aim to control the extent of false discoveries over a sequence of hypothesis tests, allowing for the possibility that early-stage test results influence the choice of hypotheses to be tested in later stages.…

Methodology · Statistics 2021-10-18 Aaron Fisher

Barrier certificates, a form of state invariants, provide an automated approach to the verification of the safety of dynamical systems. Similarly to barrier certificates, recent works explore the notion of closure certificates, a form of…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Mohammed Adib Oumer , Vishnu Murali , Majid Zamani

Factual error correction (FEC) aims to revise factual errors in false claims with minimal editing, making them faithful to the provided evidence. This task is crucial for alleviating the hallucination problem encountered by large language…

Computation and Language · Computer Science 2023-12-13 Xingwei He , Qianru Zhang , A-Long Jin , Jun Ma , Yuan Yuan , Siu Ming Yiu

Fact tracing seeks to identify specific training examples that serve as the knowledge source for a given query. Existing approaches to fact tracing rely on assessing the similarity between each training sample and the query along a certain…

Computation and Language · Computer Science 2024-04-24 Si Chen , Feiyang Kang , Ning Yu , Ruoxi Jia

Platform trials evaluate multiple experimental treatments under a single master protocol, where new treatment arms are added to the trial over time. Given the multiple treatment comparisons, there is the potential for inflation of the…

Methodology · Statistics 2022-02-09 David S. Robertson , James M. S. Wason , Franz König , Martin Posch , Thomas Jaki
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