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Matching is a commonly used causal inference study design in observational studies. Through matching on measured confounders between different treatment groups, valid randomization inferences can be conducted under the no unmeasured…

Methodology · Statistics 2024-09-20 Jeffrey Zhang , Siyu Heng

An appeal for symmetry is made to build established notions of specific representation and specific nonlinearity of measurement (often called model error) into a canonical linear regression model. Additive components are derived from the…

Applications · Statistics 2021-10-19 Richard E. Danielson

Science students must deal with the errors inherent to all physical measurements and be conscious of the necessity to express their as a best estimate and a range of uncertainty. Errors are routinely classified as statistical or systematic.…

Physics Education · Physics 2020-06-03 Martin Monteiro , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

Environmental epidemiologists are often interested in estimating the effect of time-varying functions of the exposure history on health outcomes. However, the individual exposure measurements that constitute the history upon which an…

Methodology · Statistics 2025-05-23 Ce Yang , Ning Zhang , Jiaxuan Li , Unnati V. Mehta , Jaime E. Hart , Donna Spiegelman , Molin Wang

In over-identified models, misspecification -- the norm rather than exception -- fundamentally changes what estimators estimate. Different estimators imply different estimands rather than different efficiency for the same target. A review…

Econometrics · Economics 2026-02-23 Isaiah Andrews , Jiafeng Chen , Otavio Tecchio

Transformers serve as the foundational architecture for many successful large-scale models, demonstrating the ability to overfit the training data while maintaining strong generalization on unseen data, a phenomenon known as benign…

Machine Learning · Computer Science 2025-02-19 Yingying Zhang , Zhenyu Wu , Jian Li , Yong Liu

Failure to accurately measure the outcomes of an experiment can lead to bias and incorrect conclusions. Online controlled experiments (aka AB tests) are increasingly being used to make decisions to improve websites as well as mobile and…

Other Computer Science · Computer Science 2019-04-01 Jayant Gupchup , Yasaman Hosseinkashi , Pavel Dmitriev , Daniel Schneider , Ross Cutler , Andrei Jefremov , Martin Ellis

Control charts are important tools to monitor quality of products. One of useful applications is to monitor the proportion of non-conforming products. However, in practical applications, measurement error is ubiquitous and may occur due to…

Methodology · Statistics 2022-03-08 Li-Pang Chen , Su-Fen Yang

The error autocorrection effect means that in a calculation all the intermediate errors compensate each other, so the final result is much more accurate than the intermediate results. In this case standard interval estimates are too…

Numerical Analysis · Mathematics 2025-10-20 Grigori L. Litvinov

Recent studies show that transformer-based architectures emulate gradient descent during a forward pass, contributing to in-context learning capabilities - an ability where the model adapts to new tasks based on a sequence of prompt…

Statistics Theory · Mathematics 2024-05-13 Karthik Duraisamy

Rerandomization is a modern experimental design technique that repeatedly randomizes treatment assignments until covariates are deemed balanced between treatment groups. This enhances the precision and coherence of causal effect estimators,…

Methodology · Statistics 2025-12-08 Antônio Carlos Herling Ribeiro Junior , Zach Branson

Asymmetric statistical errors arise for experimental results obtained by Maximum Likelihood estimation, in cases where the number of results is finite and the log likelihood function is not a symmetric parabola. This note discusses how…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Roger Barlow

Measurement involves the determination of quantitative estimates of physical quantities from experiment, along with estimates of their associated uncertainties. Herewith an experimental system model is the key to extracting information from…

Applications · Statistics 2008-09-01 Vladimir B. Bokov

We consider fits to two or more datasets for which results from the sa me experiment share a common systematic uncertainty in addition to their individ ual statistical errors. This is important in extracting the maximum information from a…

Data Analysis, Statistics and Probability · Physics 2020-09-29 Roger John Barlow

Calibration is a pivotal aspect in predictive modeling, as it ensures that the predictions closely correspond with what we observe empirically. The contemporary calibration framework, however, is predominantly focused on prediction models…

Methodology · Statistics 2023-09-18 Bavo De Cock Campo

This article is a response to an off-the-record discussion that I had at an international meeting of epidemiologists. It centered on a concern, perhaps widely spread, that measurement error adjustment methods can induce positive bias in…

Applications · Statistics 2009-02-10 Igor Burstyn

When the study variable is functional and storage capacities are limited or transmission costs are high, selecting with survey sampling techniques a small fraction of the observations is an interesting alternative to signal compression…

Statistics Theory · Mathematics 2013-02-15 Hervé Cardot , Camelia Goga , Pauline Lardin

Mixup is a data augmentation technique that creates new examples as convex combinations of training points and labels. This simple technique has empirically shown to improve the accuracy of many state-of-the-art models in different settings…

Machine Learning · Computer Science 2026-05-28 Luigi Carratino , Moustapha Cissé , Rodolphe Jenatton , Jean-Philippe Vert

Sample weighting is widely used in deep learning. A large number of weighting methods essentially utilize the learning difficulty of training samples to calculate their weights. In this study, this scheme is called difficulty-based…

Machine Learning · Computer Science 2023-01-13 Xiaoling Zhou , Ou Wu , Weiyao Zhu , Ziyang Liang

Resolvers, like all electromagnetic devices, are constantly under investigation, both operationally and structurally. In this regard, proposing a modeling methodology that can save significant time without compromising accuracy is a big…

Systems and Control · Electrical Eng. & Systems 2025-05-15 MohammadSadegh KhajueeZadeh , Farid Tootoonchian , Ali Pourghoraba