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The delta method is a popular and elementary tool for deriving limiting distributions of transformed statistics, while applications of asymptotic distributions do not allow one to obtain desirable accuracy of approximation for tail…

Statistics Theory · Mathematics 2011-05-19 Fuqing Gao , Xingqiu Zhao

Adaptivity is an important feature of data analysis---typically the choice of questions asked about a dataset depends on previous interactions with the same dataset. However, generalization error is typically bounded in a non-adaptive…

Machine Learning · Computer Science 2015-11-11 Raef Bassily , Adam Smith , Thomas Steinke , Jonathan Ullman

Information from various data sources is increasingly available nowadays. However, some of the data sources may produce biased estimation due to commonly encountered biased sampling, population heterogeneity, or model misspecification. This…

Methodology · Statistics 2023-02-07 Ruoyu Wang , Qihua Wang , Wang Miao

Cross-validation is a widely-used technique to estimate prediction error, but its behavior is complex and not fully understood. Ideally, one would like to think that cross-validation estimates the prediction error for the model at hand, fit…

Methodology · Statistics 2024-03-12 Stephen Bates , Trevor Hastie , Robert Tibshirani

Meta-analysis allows rigorous aggregation of estimates and uncertainty across multiple studies. When a given study reports multiple estimates, such as log odds ratios (ORs) or log relative risks (RRs) across exposure groups, accounting for…

Methodology · Statistics 2024-07-02 Alexander Johnson-Vázquez , Alexander W. Hsu , Peng Zheng , Aleksandr Aravkin

An important challenge in statistical analysis lies in controlling the bias of estimators due to the ever-increasing data size and model complexity. Approximate numerical methods and data features like censoring and misclassification often…

Statistics Theory · Mathematics 2020-11-17 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser , Yuming Zhang

This paper presents an integrated framework for estimation and inference from generalized linear models using adjusted score equations that result in mean and median bias reduction. The framework unifies theoretical and methodological…

Methodology · Statistics 2019-01-15 Ioannis Kosmidis , Euloge Clovis Kenne Pagui , Nicola Sartori

The shape of the relationship between a continuous exposure variable and a binary disease variable is often central to epidemiologic investigations. This paper investigates a number of issues surrounding inference and the shape of the…

Methodology · Statistics 2019-02-01 Li Xing , Xuekui Zhang , Igor Burstyn , Paul Gustafson

[See paper for full abstract] Meta-analysis is a crucial tool for answering scientific questions. It is usually conducted on a relatively small amount of ``trusted'' data -- ideally from randomized, controlled trials -- which allow causal…

Machine Learning · Statistics 2024-07-15 Shiva Kaul , Geoffrey J. Gordon

Massive numbers of meta-analysis studies are being published. A Google Scholar search of "systematic review and meta-analysis" returns about 452k hits since 2014. The search was done on Jan 14, 2019. There is a need to have some way to…

Applications · Statistics 2019-01-17 S. Stanley Young , Warren Kindzierski

Single domain generalization aims to learn a model from a single training domain (source domain) and apply it to multiple unseen test domains (target domains). Existing methods focus on expanding the distribution of the training domain to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Jin Chen , Zhi Gao , Xinxiao Wu , Jiebo Luo

With the rapid advancement of synthetic dataset generation techniques, evaluating the quality of synthetic data has become a critical research focus. Robust evaluation not only drives innovations in data generation methods but also guides…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Zhihang Song , Dingyi Yao , Ruibo Ming , Lihui Peng , Danya Yao , Yi Zhang

A common task in computational text analyses is to quantify how two corpora differ according to a measurement like word frequency, sentiment, or information content. However, collapsing the texts' rich stories into a single number is often…

Background: We proposed approximate Bayesian computation with single distribution selection (ABC-SD) for estimating mean and standard deviation from other reported summary statistics. The ABC-SD generates pseudo data from a single…

Methodology · Statistics 2016-07-12 Deukwoo Kwon , Isildinha M. Reis

In this paper we present a series of results that permit to extend in a direct manner uniform deviation inequalities of the empirical process from the independent to the dependent case characterizing the additional error in terms of…

Statistics Theory · Mathematics 2021-08-03 David Barrera , Emmanuel Gobet

Cross-validation (CV) is one of the most widely used techniques in statistical learning for estimating the test error of a model, but its behavior is not yet fully understood. It has been shown that standard confidence intervals for test…

Methodology · Statistics 2023-10-10 Min Woo Sun , Robert Tibshirani

Meta-analysis is widely used to integrate results from multiple experiments to obtain generalized insights. Since meta-analysis datasets are often heteroscedastic due to varying subgroups and temporal heterogeneity arising from experiments…

Methodology · Statistics 2026-01-19 Kohsuke Kubota , Shonosuke Sugasawa , Keiichi Ochiai , Takahiro Hoshino

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of…

Methodology · Statistics 2017-10-10 Maya B. Mathur , Tyler J. VanderWeele

You measure the value of a quantity x for a number of systems (cells, molecules, people, chunks of metal, DNA vectors, etc.). You repeat the whole set of measures in different occasions or assays, which you try to design as equal to one…

Quantitative Methods · Quantitative Biology 2013-11-04 Pablo Echenique-Robba , María Alejandra Nelo-Bazán , José A. Carrodeguas

We derive a novel information-theoretic analysis of the generalization property of meta-learning algorithms. Concretely, our analysis proposes a generic understanding of both the conventional learning-to-learn framework and the modern…

Machine Learning · Computer Science 2021-12-13 Qi Chen , Changjian Shui , Mario Marchand
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